Discussion 4 Assignment Example | Topics and Well Written Essays - 250 words - 1

Discussion 4 - Assignment Example This also involves identifying gender’s role whose mainstream consideration is attributed to sexuality factors. The human sexual behavior is composed of diverse motivations, ranging from sexually-generated interests to behavioral classifications. For instance, the gender factor involves sexual drives and preferences, and the unique cultural interventions have explored advances in cultural range, which hence create substantial amount of sexual orientations (Johnson, 2004). The school of thought fostered by Suzanne LaFont (2003) illustrates that variations among sexual classes have diversely created sub category for minority sexual groups. Lack of moral obligations and the sheer interest for defining sexual orientations that provide a different biological taste has been incorporated into the human sexuality potentials. The rate and range of sexual preference has changed with time and this focus provider a critical reflection of gender connectedness between changing behaviors and changing societal values. The US interpretation of gender provides a conclusive approach or reproach to emerging sexual categories which are then incorporated into new social process (Zhou et al., 1995). The critical variation of sexual and gender factors including gays, transgender and intersex have been viewed as the new constituents of gender and the interpretation hence outweighs the traditional perception of gender. However, other cultures outside the U.S. underline the traditional classification of

Transformer Assignment Essay Example | Topics and Well Written Essays - 1000 words

Transformer Assignment - Essay Example A simple way to remember it is the Left Hand Thumb rule. If we grasp the conductor in our left hand with our thumb extended in the direction of current (from –ve to +ve), our finger will point in the direction of magnetic lines of forces. When two or more current carrying conductors are placed parallel to each other in a way that the direction of current is the same in all of them, as shown in Figure 2, then the magnetic lines of forces aid each other to combine and strengthen the magnetic field further. If the two conductors so placed have current flowing in opposite direction then the magnetic lines oppose each other to deform and weaken the magnetic field. The magnetic field around the conductor exists at points along the length of the conductor. When the conductor is wound in the shape of a coil, as in Figure 3, then magnetic field around each turn of the coil is aided and strengthened by the fields of adjacent turns in the coil. The resultant is a magnetic field resembling a bar magnet with one end as North and the other as South of the magnet. When the direction of current is reversed it causes the direction of magnetic field to be reversed. If we grasp the coil with our left hand with our fingers pointing in the direction of current, as in Figure 4, the thumb will point in the direction of magnetic field. Conversely, to what we have discussed till now, if a conductor is placed in a magnetic field and there is a relative movement between the field and the conductor, an electromotive force (emf) is induced in the conductor. This effect is called electromagnetic induction. Both of these phenomenons, of creating a magnetic field and then utilizing electromagnetic induction form the basis of transformers. At one end alternating current (AC) is passed through a coil, this gives rise to a magnetic field which spreads out and subsides with the same frequency as of the AC applied. This changing magnetic field in fact is a replacement to moving

Romantic relationships and academic grade point average

Romantic relationships and academic grade point average This study will be conducted to investigate whether or not there is an association between involvement in a romantic relationship and academic grade point average (GPA) amongst pharmacy students. METHODS: Pharmacy students in their first, second, and third professional years of the traditional Doctor of Pharmacy program at Shenandoah University Bernard J. Dunn School of Pharmacy in Winchester, Virginia will be utilized as subjects for the study. Fourth-year and non-traditional students will be excluded from participation due to limited or no accessibility. By way of convenience sampling, approximately 355 students from the Winchester and Ashburn campuses of the school of pharmacy will be administered a survey at the end of the spring semester. Only students who are present and in class on the day the survey is administered will participate. Based on their responses to the third survey question concerning current romantic relationship and corresponding living status, the students will be separated into groups ranked from least involved to most involved with respect to current romantic relationship status; these groups will be designated single, casual partner, serious partner, and married. After all students have been placed into a group, their GPAs will be analyzed and compared to examine if there exists a correlation between involvement in varying levels of romantic relationships and pharmacy school GPA. We hypothesize that involvement in a romantic relationship will have an effect on GPA. RESULTS: N/A. CONCLUSIONS: We conclude that involvement in a romantic relationship affects pharmacy school GPA. Students who will be or are currently enrolled in a graduate program can use the information from this study to make decisions concerning involvement in romantic relationships and extracurricular commitments. Introduction While there have been many studies on the effect of academic grade point average (GPA) (given a wide range of variables), it is unknown, up to this point, if relationship status affects GPA, and if so, how it affects GPA (positively or negatively). The rationale for this research project is that there have been no previous studies on GPA and relationship status for graduate students currently enrolled in pharmacy school. While limited research has been conducted on GPA and relationship status, there was more focus on adolescents (high school students). Previous limited studies performed on pharmacy students include variables such as test anxiety, time management, test competence, academic competence, and study techniques. The scope of this research project is to study the effects of relationship status on GPA for graduate students in pharmacy school. As a result, the same study can be performed on any graduate school program, not just pharmacy, using the same survey questionnaire. We hypothesize that involvement in a romantic relationship will have an effect on GPA. Relationship status, in this study, is defined as any one of the following: single; casual partner; serious partner; married. Being in a relationship is defined as all of the latter except: single. Other variables considered in this project (gender, age, year of study, hours dedicated to studying per week, importance of GPA, and hours worked and/or volunteered per week) are needed and help to isolate the effects of relationship status on GPA. While the primary concern of this study is to evaluate if romantic relationship status has any effect on the GPA of students in pharmacy school, it may also be extended to discover if there is a positive or negative effect on GPA dependent on relationship status. If there is no significant difference between relationship status and GPA, then perhaps data collected on other variables might explain a difference. Literature Review Our study is conducted to determine how varying levels of involvement in romantic relationships affect the academic GPA of pharmacy students. There have been many studies that examined the relationship between dating and the GPA of students. Many of the studies were conducted using high school and undergraduate college students. One study was conducted by Phuong T. Pham (2002) at Loyola University. Effects of Romantic Relationships on Academic Performance in College, examined the relationship between dating and academic performance in college. Pham hypothesized that dating while in an undergraduate program would result in a lower GPA. A survey was conducted at Loyola University and after analyzing the results, it was concluded that there was no correlation between academic performance and dating. A similar study was conducted by Matthew E. Kopfler (2003) at Loyola University that looked at the effects of romantic relationships on academic performance of undergraduate students. The hypothesis of the study was that students involved in romantic relationships would not perform academically as well as those who were not involved in romantic relationships. The study was conducted by surveying 75 Loyola undergraduate college students. After collecting the surveys and analyzing the results, Kopfler concluded that there was no impact on GPA if a student was involved in a romantic relationship. Factors that Affect Academic Performance Among Pharmacy Students was a study conducted by Sansgiry, Bhosle, and Sail. This study looked at different factors that might have an impact on the GPA of pharmacy students. Sansgiry et al. used a questionnaire to evaluate factors such as test anxiety, time management, test competence, academic competence, and study techniques and their impact on GPA. This is a very important question to ask since GPA is used as an indicator of academic performance. Most colleges and universities set a minimal GPA that student applicants must meet in order to be considered for admittance into the school. Their study concluded that test competence was an important factor in distinguishing students who will perform well academically from those who will perform poorly. Other factors that include academic competence, test competence, test anxiety, and time management improve as the student advances through the pharmacy curriculum. The two studies conducted at Loyola University derived similar conclusions, that is: the academic performance of undergraduate college students were not affected by involvement in romantic relationships. Our study advances the focus further by investigating how academic performance, as measured by GPA, is affected by involvement in romantic relationships while enrolled in a graduate college program. The study conducted by Sanger et al. is important because it looked at time management and its effect on the GPA of pharmacy students. It was concluded from this study that time management does not have an impact on GPA. Time management was defined as clusters of behavioral skill sets that are important in the organization of study/course load. Time management includes planning in advance, prioritizing work, test preparation, and following schedules. In our study, we will correlate time management with respect to relationship status by examining the amount of time spent with a partner com pared to studying academic material and evaluate if this impacts the GPA of graduate college students. Methodology Participants Second-year Doctor of Pharmacy (PharmD) students from Shenandoah University Bernard J. Dunn School of Pharmacy in Winchester, Virginia (VA) conducted a research study to determine if there exists a link between involvement in romantic relationships of pharmacy school students and their academic GPA. GPA will be the dependent variable of this study and thus the focus of the research. The GPA will subsequently be analyzed and compared with involvement in romantic relationships. Involvement in pharmaceutical organizations, volunteer work, and weekly part-time work will also be considered as future research factors that may have an impact on GPA. The data for the project was gathered at the two separate campuses of the Bernard J. Dunn School of Pharmacy. The survey was administered at the main campus in Winchester, VA as well as the satellite campus in Ashburn, VA. A survey was selected to be the method of choice to obtain data because of its relative low cost of manufacturing and ease o f administration. Sampling The population under consideration in this study includes all traditional PharmD students who are currently enrolled full-time. This does not include fourth-year and non-traditional students on clinical rotations. Our sample population will include all traditional PharmD students at the Winchester and Ashburn campuses of the Bernard J. Dunn School of Pharmacy who agreed to fill-out and complete a survey questionnaire within a 10 day period. The researchers agreed that a limit of 10 days is a sufficient length of time to provide for appropriate completion of the survey questionnaires and for adequate collection of responses. The sample will be gathered through a convenience sampling method and will therefore be given to participants present on the day selected by the researchers to administer the survey. Because a control group will not be utilized in this study, convenience sampling is the easiest and most effective method to gather participants. The researchers plan to administer th e survey to approximately 355 participants across the two campuses of the Bernard J. Dunn School of Pharmacy. Before data is collected, the researchers will obtain approval for the research study from the Human Subjects Review Board at Shenandoah University. This board is the equivalent of an Institutional Review Board. The confidentiality of participants will be ensured for this study as no indentifying information will be collected. Research Design Data will be collected through the use of a survey questionnaire. The survey consists of eight questions designed to gather information about students GPA and their involvement in romantic relationships. The survey was created by the researchers and was designed to allow for quick and easy completion. The survey was administered to the students at the end of the spring semester by the researchers. Administration of the survey at end of the spring semester was chosen in order to allow for the inclusion of first-year students, who by then already received their fall semester grades, in the study. Each survey questionnaire contains the same questions and can be administered without any prior training of the student participant. Each survey question was designed to be a test item for the research study. The survey is attached as an appendix. The first, second, and fifth questions are used to attain demographic information. Gender, age, and year in professional school can all be used as adjuncts in evaluation of the data. The third question is the first critical test item of the study. It inquires into the current relationship and corresponding living status of the survey respondent. This question is intended to be a test item that would group students into categories ranging from least involved to most involved as relating to romantic relationship involvement. Each category was based upon the following answer choices: 1. Single 2. Casual partner 3. Serious partner 4. Married An answer of the respondent to this question is the independent variable and therefore the prime factor for comparison against GPA. Using responses to this question, the researchers will place student participants in their designated groups, compute and compare the average GPAs for each group, and evaluate for any variances in GPA amongst groups. The fourth question was used as a tool to gather information about the dependent variable, student GPA. The researchers decided to use five ranges for the GPA. This will allow for easier collection and grouping of data in a manner that will facilitate efficiency of management and analysis. The sixth, seventh, and eighth questions were placed in the survey to gather additional data about the extracurricular activities of student participants. These responses will be collected and appropriately managed. The data will not be analyzed in this study but will be made available for future research studies. The seventh question was based on a Likert Scale and can be used to evaluate whether or not the motivation of a respondent has an effect on their GPA. Data Collection Our method of collecting data is through a survey. The entire sample population will be asked to complete the same survey within a 10-day period. We have increased the reliability of our study in two ways. The first is by asking all of the participants to complete the same survey. This increases the consistency of the study. The second is by making the survey questions concise and straightforward so that each can be interpreted and understood the same by all respondents. This is critical because all respondents are asked the same questions, and therefore, it is necessary to achieve similar interpretation among respondents. It is important to have reliability because without reliability a study cannot have validity. Reliability is required in order to assess the validity of the measurement instrument. We have established that our study has reliability. We must now determine if it has internal validity. Internal validity is very important in our study because it shows that our survey correctly assessed the effects of involvement in romantic relationships on the academic GPA of pharmacy students. Our study is based on a two-group after only model, and therefore, many of the threats to internal validity do not apply. The history threat does not apply because we do not ask questions regarding past events that might have altered the GPA of a pharmacy student. For example, a student may have a lower GPA than normal because a traumatic event happened right before a big exam. Many of the other threats to internal validity cannot occur in our study because of our study design. Therefore, the internal validity of our study is further substantiated. Only complete survey questionnaires will be included in this study. If all eight survey questions are not answered, that particular survey questionnaire will be thrown out. Data Analysis The pooled variance t-Test will be used because of the two populations (single and in a relationship), as well as the comparison between two means (mean GPA of students who are single and mean GPA of students who answered as being in a relationship). Data will be collected using the eight question survey discussed previously and will be coded and analyzed using the Statistical Package for the Social Scientists (SPSS) program. The data will be coded corresponding to the answers circled by each participant (for example, if a participant circled the number 1 for the question What is your gender, that would correspond to male and the number 1 would be entered under the gender category for our SPSS data sheet; if they circled a 3 for the question What is your current age range, that answer would correspond to 25 29 and a number 3 would be entered under the age category for our data sheet). All of the data will be entered manually by one person and every fifth entry will be checked agains t that particular survey by a research assistant. Having all data entered into SPSS allows for easy comparison of different factors on GPA, including testing the study hypothesis. The first test performed on the data will be to evaluate the average GPA for respondents of all romantic relationship status groups except the single group. This average GPA will then be compared to the average GPA of those students who fall into the single group. The mean value of GPA for all students who completed a survey questionnaire will also be computed. An alpha level of 0.05 will be set. Our objective is to discover any significant variances in GPA of those who are in romantic relationships versus those who are single. If our P value is less than 0.05 (our alpha value) then there is a significant difference in the mean GPA values for those who are in romantic relationships versus those who are single. In this case, we will reject our null hypothesis: involvement in a romantic relationship will have an effect on academic GPA. Accordingly, we will examine significant differences in GPA to see whether there exists a positive or negative correlation to involvement in romantic re lationships as opposed to being single. We will also break down the relationship categories to compare and determine if there are any significant differences between the average GPA of each group. For example, analysis will be performed to see if there is a significant difference in GPA between students in serious partner relationships versus those in married relationships. Discussion The null hypothesis of the study states that there is no effect regarding involvement of romantic relationship on GPA. If the resulting P value is greater than or equal to our alpha value of 0.05, we would fail to reject the null hypothesis. Therefore, the projected outcome of the study is that there is no effect on involvement in a romantic relationship and GPA. However, if the resulted P value is less than our alpha value of 0.05, then we would reject the null hypothesis. In the latter case, the result would be that there is an effect regarding involvement of romantic relationship on GPA. The main reason for this study is to see if being in a relationship has an effect on GPA for graduate students. As noted earlier, no study has been done on graduate students in terms of relationships and GPA. While a few studies have been done in the past on relationship status and GPA, the studies were conducted on adolescent (high school age) students. It was agreed by all of the researches of this graduate student study that there is quite a big difference between the types of relationships in high school versus graduate school, as well as the courses, course load, and expectations of each student. Quite frankly, there really is no comparison between the two (high school versus graduate school). While this particular study was done on pharmacy school students, the exact same study can be done to any graduate school program, not just pharmacy. The eight questions in the survey are not specific to pharmacy or any other program and, although we are only concerned with relationship st atus (our independent variable) and GPA (our dependent variable), we also asked a series of other independent variable questions. Further tests and comparisons can be made with the other independent variables collected on the survey questionnaire. This is especially helpful if there is no correlation or significant difference between GPA and relationship status. The other independent variables might be able to explain some of the differences between GPA other than relationship status (for instance, if a student works or volunteers regardless of relationship status perhaps some work has no effect but working full time while in graduate school has an effect on GPA). How many of the additional questions to use in the analysis of the GPA versus relationship status is up to the evaluators of this study. Limitations Results from this study should be interpreted with several limitations in mind. First, the study is limited in sample size because only the first through third year students at one pharmacy school were used as subjects for the survey. This small population would inhibit and prevent the generalization of results and findings from the study to other schools of pharmacy. A second limitation of the study is the narrow focus on pharmacy students. This restricts generalizations of study findings and results to other graduate and professional programs (e.g. medicine, law), undergraduate curriculums, and vocational programs. Another study limitation is the use of different levels of pharmacy students: first-year, second-year, and third-year students. This limitation may skew results due to the differences in the degree of difficulty between the distinct years of professional pharmacy study, and this can have an impact on GPA. Generally, the first year curriculum is less difficult and demanding than the second year curriculum, and the second year curriculum is less difficult and demanding than the third year curriculum. Moreover, the difference in the cumulative amount of classes students have completed between their first, second, and third years in pharmacy school can also impact their overall academic GPA. The results of just one semester of completed classes can be skewed and are more volatile to GPA shifts in the next semester than a student who has completed three years of classes. Furthermore, there may be other factors influencing GPA for first year students that the survey does not account for. T his study limitation may discount external factors such as moving to a new city and or state, starting at a new school, making new friends, finding suitable housing, and even living away from their family for the first time. The study does not take into consideration if a person was in a relationship at some point during graduate school and now is not, and vice-versa. The survey questionnaire only seeks information regarding current romantic relationship status. It can be assumed for those who selected married that they have either been married for the duration of graduate school or were in another of the relationship categories and then got married. This aspect points out that people do not get married without first being casual and/or serious partners. For those in a casual partner relationship, one may wonder how long they have been in the relationship. For some third year students, perhaps they have finally taken on relationships because they feel comfortable with their GPA and school to take on more responsibility. For a first year student, classes and program demands are perhaps still not difficult. This suggests they still can have a romantic relationship without significant effects on GPA. Although the survey questionnaire is completely confidential, some students might find a need to over-inflate their GPA. Instead of asking for them to fill in their actual GPA, ranges were provided in the hopes of keeping over-inflation of GPA to a minimum. However, over reporting of GPA can still exist. Conclusions It is the hope of the evaluators that this study will shed some light on trends in GPA and what exactly affects it in order to help and inform incoming graduate students. With this information and correlations (or no correlation), graduate students will be able to make educated choices in terms of relationships and possibly other aspects outside of the classroom as well (for instance, how much time to work without having an effect on GPA). The results of this study should answer some of the myths of graduate school and having a life at the same time.

Explorers of Africa :: Geography

Explorers of Africa Mungo Park was a Scottish explorer who led one of the first expeditions to investigate the course of the Niger river in Western Africa. Mungo Park was a 23 year-old scottish surgeon who had just returned from a journey to Sumatra on a ship of the East India Company. There he had discovered 6 species of fish, and he had published descriptions in a Scientific Journal. In 1795, Park had gone to Piscina, on an offer to research further into Africa. Park had accepted and a severe fever overcame him during his journey. Park also had been captured by certain muslim leaders. After he had gotten out of the Prison he had wandered around and had finally found the Niger River. Park was amazed at how beautiful the River was. Park had stated "I saw with infinite pleasure, the object of my, mission". Park had returned home to London where became famous on his publications of his voyage across Africa. Later in 1806 he sailed downstream to the Bussa rapids, where he drowned, trying to escape an attack by the Africans. Rene Callie was a 27 year old man who was fascinated by the stories told about peoples travels to Africa. His readings of Mungo park also stimulated his fascination. Callie had entered a contest for the first person to reach Timbuktu and reach back. He had reached Timbuktu. During Callie's trip he did not find it easy to prove to the French Authorities that a young man with no experience could discover Timbuktu. On his way back Callie had joined a Arab Caravan preparing to cross from Western Sahara to Morocco. Callie had stated "I am the first European to cross from the sandy ocean from the south to the north". On his return to Paris, Callie was known as a hero. Later, questions were asked if he was telling the truth or not. Johann Rebmann Johann Rebmann was a German missionary, who was not like Mungo Park or Rene Callie. The purpose of Rebmann's explorations is to find a place where he might serve God. His most helpful weapon was a umbrella, which he used to fight off lions and would be attackers. Rebmann was the european explorer who kept a careful record of his journey. Together with his

Education Equity Essay

The constitution of the United Nations Educational, Scientific and Cultural Organization (UNESCO) was adopted by 20 countries at the London Conference in November 1945 and entered into effect on 4 November 1946. The Organization currently has 191 Member States and six Associate Members. The main objective of UNESCO is to contribute to peace and security in the world by promoting collaboration among nations through education, science, culture and communication in order to foster universal respect for justice, the rule of law, and the human rights and fundamental freedoms that are affirmed for the peoples of the world, without distinction of race, sex, language or religion, by the Charter of the United Nations. To fulfil its mandate, UNESCO performs five principal functions: 1) prospective studies on education, science, culture and communication for tomorrow’s world; 2) the advancement, transfer and sharing of knowledge through research, training and teaching activities; 3) standard-setting actions for the preparation and adoption of internal instruments and statutory recommendations; 4) expertise through technical co-operation to Member States for their development policies and projects; and 5) the exchange of specialized information. UNESCO is headquartered in Paris, France. UNESCO Institute for Statistics The UNESCO Institute for Statistics (UIS) is the statistical office of UNESCO and is the UN depository for global statistics in the fields of education, science and technology, culture and communication. UIS was established in 1999. It was created to improve UNESCO’s statistical programme and to develop and deliver the timely, accurate and policy-relevant statistics needed in today’s increasingly complex and rapidly changing social, political and economic environments. UIS is based in Montreal, Canada. American Institutes for Research (AIR) Since its founding in 1946 as an independent, non-profit and non-partisan organization, the American Institutes for Research (AIR) has conducted more than 3,500 projects providing basic and applied research, technical support and management services to government agencies, non-profit organizations and private companies. AIR’s work in education spans both the domestic and international areas, with the latter including extensive work in comparative education and international development. 1000 Thomas Jefferson Street NW; Washington, DC 20007-3835; United States; www. air. org. UNESCO Institute for Statistics P. O. Box 6128, Succursale Centre-Ville Montreal, Quebec H3C 3J7 Canada Tel: (1 514) 343-6880 Fax: (1 514) 343-5740 Email: publications@uis. unesco. org http://www. uis. unesco. org ISBN 92-9189-041-3  © UNESCO-UIS 2007 Ref: UIS/WP/06-03 Cover design: JCNicholls Design Printed by: ICAO Executive summary. The right to education has been recognised by the international community for the last half century and has led to increasing interest in the equity of countries’ education systems. However, the term â€Å"equity† is subject to a variety of interpretations. Most would agree that education systems that are â€Å"equitable† provide high-quality education to all children, regardless of their background or where they live. But from there, opinions diverge about what aspect of education should be distributed â€Å"equitably† to whom and about what levels of disparity are â€Å"equitable† or â€Å"inequitable†. Recognising the lack of a common language for discussing the issue of equity in education, the UNESCO Institute for Statistics (UIS) undertook a study to bring together some of the diverse approaches to equity and to provide a more systematic approach to conceptualising and measuring the equity of countries’ education systems. This study comes at an important time for policymakers, particularly in developing countries that are striving to attain the goal of Education for All. With appropriate tools in hand, policymakers will be in a better position to assess the equity of their education systems and to develop and implement policies and programmes to address the most critical related issues. This report presents the results of the study in three components. First, it provides a context for understanding the current interest in educational equity through a review of the evolution of international concerns about equity and previous efforts to define and measure equity more systematically. Second, it presents a framework for measuring educational equity, along with methods for comparing the equity of countries’ education systems using a set of standard statistical measures. Finally, it demonstrates the application of the framework in 16 of the largest, most-populous countries around the world. These include three countries in Africa (Egypt, Nigeria and South Africa), five in Asia (Bangladesh, China, India, Indonesia and Pakistan), five in Latin America (Argentina, Brazil, Ecuador, Mexico and Peru), along with Canada, the Russian Federation and the United States. The empirical analysis conducted in this report centers on three specific â€Å"objects† of equity. One is a measure of access (enrolment ratios) and two are measures of resources allocated to education (expenditure per pupil and pupil-teacher ratios). The framework is applied using two main principles of equity – horizontal equity and equal educational opportunity. Horizontal equity examines disparities in access to education and resources for education within countries, using selected measures of dispersion that reflect different concerns of education policy. Equal educational opportunity examines the relationship between wealth and the three objects of equity, as well as urban/rural differences in the provision of access to education and educational resources. – iii – Educational Equity and Public Policy In presenting the application of the equity framework, geographic regions within countries are used as the unit of analysis. In federal countries, these units are generally states, provinces and other political jurisdictions with authority over education; in nonfederal countries, the units are usually the first administrative entity below the national level. The analysis of horizontal equity focuses on disparities across these units in access and resources; the analysis of equal educational opportunity relates regions’ wealth (measured as regional product per capita) and population density (a proxy for urban/rural location) with the objects of equity. Coefficients of correlation are used to measure the direction and size of these relationships. We recognise that regional disparities are not the primary concern of policymakers in all countries and that disparities based on gender, race/ethnicity and socioeconomic status may be more significant than geographic disparities. We, therefore, suggest that the analyses presented in the report should not be used as the sole basis for judging whether a country’s education system is â€Å"equitable† or â€Å"inequitable;† other analyses are needed to fully inform this issue. However, it is also important to note that geographic disparities are of great importance in many countries, particularly large federal countries, and that there is a long tradition of research on this topic in both developing and developed countries. In the former, the focus has frequently been on access to education, with urban/rural disparities at the core of policy debates. In the latter, the focus has historically been on disparities in resources provided for public education; in recent years, the emphasis has shifted to education outcomes, particularly student achievement. We view the empirical work presented in this report as an extension of that stream of research. Selected findings from the study This study attempted to compare countries on key aspects of educational policy and to assess the relative equity of their education systems, based on differences in access to education and the provision of educational resources in major geographical divisions. Before presenting some of the key findings, a few caveats are in order. First, the findings presented represent a single but important dimension of equity in education. Second, even within the analyses presented here, there is not complete consistency in countries’ rankings on all access and resource measures. Countries may rank highly on one measure of educational resources and not so well on another. Third, countries’ comparative rankings on educational equity may depend on the group of countries used in the comparisons. A different mix of countries could produce different determinations in our equity assessment. Finally, disparities within countries may often result from intended acts of policy (e. g. the provision of greater resources in poorer areas to compensate for their lack) that are producing the desired results. It is therefore important not to â€Å"over-interpret† the findings regarding geographical disparities and to conclude categorically that one country’s education system is more equitable than another’s. – iv – Educational Equity and Public Policy. Horizontal equity: Regional disparities Table A provides an overview of countries’ relative standing on horizontal equity, based on the three objects of equity examined in this study: enrolment ratios, expenditure per pupil and pupil-teacher ratios. Countries that fall at the â€Å"top† of the rankings tend to have relatively small disparities across regions; countries in the â€Å"bottom† tend to have relatively large disparities; while countries in the â€Å"middle† tend to have moderate disparities relative to other countries. Based on these findings, we find the following: Access to education: Enrolment ratios †¢ Among the nine countries reporting enrolment ratios for both primary and secondary education, only Mexico has relatively small disparities at both education levels. Egypt and the Russian Federation have moderate disparities in access to primary and secondary education, while India and Brazil tend to have large regional disparities. Argentina and Peru have relatively small regional disparities in access to primary education and moderate disparities in secondary education, while the reverse is the case in South Africa. Indonesia has moderate disparities in access to primary education and relatively large disparities at the secondary level. Among countries only reporting primary enrolment ratios, disparities are relatively small in China and relatively large in Bangladesh and Pakistan. At the secondary level, disparities in enrolment ratios are relatively small in Canada and the United States. †¢ †¢ Educational resources: Expenditure per pupil and pupil-teacher ratios †¢ Canada, Peru, South Africa and the United States show the smallest interregional disparities in expenditure per pupil for primary and secondary education. Argentina, Brazil, Mexico and the Russian Federation fall in the middle range, while China, Egypt and India have the largest disparities in expenditure per pupil across their regions. Overall, there is a strong correspondence between countries’ rankings on regional disparities in expenditure per pupil and pupil-teacher ratios in primary and secondary education. Canada, Peru, South Africa and the United States are at or near the top of the rankings on both measures, Brazil and the Russian Federation are in the middle, with Egypt and India at the bottom of the rankings. †¢ -v-. Educational Equity and Public Policy †¢ Disparities in pupil-teacher ratios in primary education are smallest in Argentina, Brazil, Indonesia, Mexico and Peru; in the moderate range in Bangladesh, China, Ecuador and the United States; and largest in Egypt, India, Nigeria and Pakistan. Disparities in pupil-teacher ratios at the secondary level show some similarities and some differences with primary education: disparities are smallest in China, Indonesia, Mexico and Peru; in the moderate range in Brazil, Ecuador, Egypt, Nigeria and the United States; and largest in Argentina, India and Pakistan. †¢ Table A. Country placements on horizontal equity analyses of enrolment ratios, expenditure per pupil and pupil-teacher ratios Primary and secondary expenditure per pupil middle * middle top bottom * bottom bottom * middle * * top middle top top Primary and secondary pupilteacher ratio bottom * middle top middle middle bottom bottom middle top bottom middle top middle top top Country Argentina Bangladesh Brazil Canada China Ecuador Egypt India Indonesia Mexico Nigeria Pakistan Peru Russian Federation South Africa United States * Not available. Primary enrolment ratio top bottom bottom * top * middle bottom middle top * bottom top middle middle *. Secondary enrolment ratio middle * bottom top * * middle bottom bottom top * * middle middle top top Primary pupilteacher ratio top middle top * middle middle bottom bottom top top bottom bottom top * * middle Secondary pupilteacher ratio bottom * middle * top middle middle bottom top top middle bottom top * * middle – vi – Educational Equity and Public Policy Equal educational opportunity Table B provides a summary of findings from the analysis of educational opportunity using the relationship between regional wealth and regional enrolment ratios, expenditure per pupil and pupil-teacher ratios. In the table, a dash (â€Å"-†) signifies that countries tend to have lower enrolment ratios, lower expenditure per pupil or lower pupil-teacher ratios in wealthier regions; and a plus sign (â€Å"+†) signifies that countries tend to have higher enrolment ratios, higher expenditure per pupil or higher pupilteacher ratios in wealthier regions. An asterisk (â€Å"*†) is used in instances where a country does not have a consistent relationship between regional wealth and a given measure. Where the relationships are strongly positive or negative (greater than +0. 50 or less than -0. 50), there are no additions to the designated signs. However, parentheses are used to indicate relationships that are statistically weak (between -0. 50 and -0. 25 or between 0. 25 and 0. 50). Access to education: Enrolment ratios †¢ Egypt, Mexico and Peru perform most poorly on this dimension of equity, with moderate to strong positive relationships between regional wealth and enrolments ratios in both primary and secondary education. In Argentina, Brazil, Canada, India, Indonesia, South Africa and the United States, wealthier regions also tend to have higher enrolment ratios in secondary education. Poorer regions tend to have higher enrolment ratios in primary education in four countries: Argentina, Brazil, India and South Africa. However, India is the only country where the relationship is strong. †¢ Educational resources: Expenditure per pupil and pupil-teacher ratios †¢ Wealthy regions tend to provide greater expenditure per pupil for primary and secondary education in the 10 countries with available data. The relationships are strong in Argentina, Brazil, Canada, China, South Africa and the United States, and moderate in Egypt, Mexico, Peru and the Russian Federation. Higher expenditure results in lower primary and secondary pupil-teacher ratios in wealthier regions in seven of these countries – Argentina, Brazil, Canada, China, Egypt, India and Peru. Wealthier regions also tend to have lower pupil-teacher ratios in primary education in Argentina, Brazil, China, Egypt, India and Peru. The same pattern is found in secondary education in these six countries, as well as in Mexico. †¢ †¢ – vii – Educational Equity and Public Policy Table B. Findings from the analysis of equal educational opportunity – The relationship between regional wealth and regional enrolment ratios, expenditure per pupil and pupil-teacher ratios Primary and secondary expenditure per pupil + + + + (+) * n/a (+) n/a (+) (+) + + Primary and secondary pupil-teacher ratio (-) (-) (-) (-) * * * * * * Country Argentina Brazil Canada China Egypt India Indonesia Mexico Nigeria Peru Russian Federation South Africa United States Primary enrolment ratio (-) n/a (+) (+) * (+) n/a (+) * (-) n/a Secondary enrolment ratio + + + n/a (+) (+) (+) (+) n/a + * (+) +. Primary pupilteacher ratio (-) n/a (-) (-) (-) * (+) * (-) n/a n/a * Secondary pupilteacher ratio (-) (-) n/a (-) (-) (-) * (-) * (-) n/a n/a * n/a: Data not available. * Not a statistically significant relationship (correlation between -0. 25 and +0. 25). – viii – Educational Equity and Public Policy Table of contents Page Executive summary †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦ iii Acknowledgements †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦. 13 1. 2. Introduction †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦.. 15 Contextualising and defining educational equity †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦ 17 I. Efforts to support educational rights and equity†¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦.. 17 A. The United Nations †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦.. 17 B. Other international efforts†¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦.. 18 C. Efforts to measure equity †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦.. 19 II. Developing a framework to measure equity in education †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦.. 20 The equity framework †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦. 22 I. Targets of equity concerns †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦ 22 II. Objects †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦ 2 2 A. Access and progression†¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦. 23 B. Resources†¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦. 23 C. Results †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦ 23 III. Equity principles †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦. 24 A. Horizontal equity †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦ 24 B. Vertical equity †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢ € ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦. 24 C. Equal educational opportunity (EEO) †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦.. 25 IV. Measuring equity †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦ 26 A. Measures of horizontal equity †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦. 26 1. Range ratio †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦.. 27 2. McLoone Index/adjusted McLoone Index †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦. 27 3. Coefficient of variation †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã ¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦ 28 4. Gini coefficient †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦ 28 B. Measures of vertical equity †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦.. 30 C. Measures of equal educational opportunity†¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦.. 30 V. Overview †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦ 31 Application of the equity framework: enrolment ratios †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦ 32 I. Introduction to the analysis†¦Ã ¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦ 32 A. Countries selected for analysis †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦.. 32 B. Presentation of the analyses†¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦ 36 II. Enrolment ratios †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦. 37 A. Horizontal equity analysis †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦. 38 1. Primary education†¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦. 38 2. Secondary education †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦.. 40 B. Equal educational opportunity†¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦. 43 1. Regional wealth and enrolment ratios†¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦. 43 2. Regional population density and enrolment ratios †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦ 44 C. Horizontal equity and equal educational opportunity†¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦ 45 3. 4. -9- Educational Equity and Public Policy 5. Application of the equity framework: Expenditure per pupil †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦. 47 I. Horizontal equity analysis†¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦.. 47 A. Composite rankings †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦. 49 B. Consistency of rankings on equity measures†¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦.. 50 II. Equal educational opportunity †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦. 51 A. Regional wealth and expenditure per pupil †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦.. 51 B. Regional population density and expenditure per pupil†¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã ¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦.. 52 III. Horizontal equity and equal educational opportunity †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦ 53 IV. Changes in horizontal equity †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦ 54 V. Changes in equal educational opportunity †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦ 56 A. Regional wealth and expenditure per pupil †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦.. 56 B. Regional population density and expenditure per pupil†¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦.. 57 Application of the equity framework: Pupil-teacher ratios †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦. 58 I. Horizontal equity analysis†¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦.. 58 A. Primary education †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦. 60 1. Composite rankings †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦. 61 2. Consistency of rankings on equity measures †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦. 62 B. Secondary education †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦.. 63 1. Composite rankings †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦. 63 2. Consistency of rankings on equity measures †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦. 65 C. Combined primary and secondary education†¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦.. 66 1. Composite rankings †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦. 67 2. Consistency of rankings on equity measures †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦. 68 D. Consistency of rankings on horizontal equity in primary, secondary and combined primary and secondary education †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦.. 69 II. Equal educational opportunity †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦. 70 A. Regional wealth and pupil-teacher ratios †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦.. 70 B. Regional population density and pupil-teacher ratios†¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦.. 72 III. Horizontal equity and equal educational opportunity †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦ 73 A. Primary education †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦. 73 B. Secondary education †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦.. 74 C. Combined primary and secondary education†¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦.. 75 D. Summary of findings †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦ 76 IV. Changes in horizontal equity †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦ 78 A. Primary education †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦. 78 B. Secondary education †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦.. 80 C. Primary and secondary education†¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦. 81 D. Summary of findings †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦ 82 V. Changes in equal educational opportunity †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦ 84 A. Regional wealth and pupil-teacher ratios †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦.. 84 B. Regional population density and pupil-teacher ratios†¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦.. 85 Sources, methods and technical notes †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦.. 87 References†¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦. †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦ 105 Glossary†¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦.. 113 Equity-related education laws, policies and research in core countries†¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦.. 118 – 10 – 6. Appendix 1. Appendix 2. Appendix 3. Appendix 4. Educational Equity and Public Policy Tables Page 3. 1 3. 2 3. 3 4. 1 4. 2 4. 3 4. 4 4. 5 4. 6 4. 7 4. 8 4. 9 5. 1 5. 2 5. 3 5. 4 5. 5 5. 6 5. 7 6. 1 6. 2 6. 3 6. 4 6. 5 6. 6 6. 7 6. 8 6. 9 6. 10 6. 11 6. 12 6. 13 6. 14 6. 15 6. 16 6. 17 6. 18 Types of objects †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦.. 22 Illustration of Gini coefficient – distribution of pupil-teacher ratios for country A †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦ 29 Illustration of Gini coefficient – distribution of pupil-teacher ratios for country B †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦ 30 Type of government, name of regions and number of regions in countries†¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦.. 33 Population and area of countries †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦ 33 Gross product per capita and population density†¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦ 35 National primary enrolment ratios †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦.. 38 Horizontal equity measures of primary enrolment ratios†¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦. 39 Ranking order on horizontal equity measures of primary enrolment ratios †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦.. 39 National secondary enrolment ratios†¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦. 41 Horizontal equity measures of secondary enrolment ratios †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦ †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦.. 41 Ranking order on horizontal equity measures of secondary enrolment ratios†¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦. 42 National public combined primary and secondary expenditure per pupil †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦.. 48 Horizontal equity measures of public combined primary and secondary expenditure per pupil†¦. 48 Ranking order on horizontal equity measures of public combined primary and secondary expenditure per pupil †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦. 49 Change in national average public primary and secondary expenditure per pupil †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦ 55 Horizontal equity measures of public primary and secondary expenditure per pupil, 1995 and 2002 †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦. 55 Correlation between GRP per capita and public combined primary and secondary expenditure per pupil, 1995 and 2002†¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦.. 56 Correlation between regional population density and public combined primary and secondary expenditure per pupil, 1995 and 2002†¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦.. 57 National public primary pupil-teacher ratios †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦.. 59 National public secondary pupil-teacher ratios †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦ 59 Horizontal equity measures of public primary pupil-teacher ratios †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦ 60 Ranking order on horizontal equity measures of public primary pupil-teacher ratios †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦.. 60 Horizontal equity measures of public secondary pupil-teacher ratios†¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦.. 63 Ranking order on horizontal equity measures of public secondary pupil-teacher ratios †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦ 63 Horizontal equity measures of public combined primary and secondary pupil-teacher ratios†¦Ã¢â‚¬ ¦. 66 Ranking order on horizontal equity measures of public combined primary and secondary pupil-teacher ratios †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦. 66 Correlation between GRP per capita and public pupil-teacher ratios †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦.. 71 Correlation between regional population density and public pupil-teacher ratios†¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦.. 72 Change in national average public primary pupil-teacher ratios †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦. 79 Horizontal equity measures of public primary pupil-teacher ratios, 1995 and 2002 †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦. 79 Change in national average public secondary pupil-teacher ratios †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦.. 80 Horizontal equity measures of public secondary pupil-teacher ratios, 1995 and 2002 †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦.. 81 Change in national average public combined primary and secondary pupil-teacher ratios †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦. 81 Horizontal equity measures of public combined primary and secondary pupil-teacher ratios, 1995 and 2002†¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦.. 82 Correlation between GRP per capita and public pupil-teacher ratios, 1995 and 2002†¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦ 84 Correlation between regional population density and public pupil-teacher ratios, 1995 and 2002 †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦. 86 – 11 – Figures Page 3. 1 3. 2 3. 3 3. 4 4. 1 4. 2 4. 3 4. 4 4. 5 5. 1 5. 2 5. 3 5. 4 5. 5 6. 1 6. 2 6. 3 6. 4 6. 5 6. 6 6. 7 6. 8 6. 9 6. 10 6. 11 6. 12 6. 13 6. 14 Objects and targets of equity †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦ 23 Interpreting horizontal equity measures †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦.. 27 Illustration of the Gini coefficient †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦. 29 Overview of the equity framework†¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦.. 31 Primary enrolment ratio ranking orders on horizontal equity measures †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦. 40 Secondary enrolment ratio ranking orders on horizontal equity measures†¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦ 42 Correlation between GRP per capita and primary and secondary enrolment ratios †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦ 43 Correlation between population density and primary and secondary enrolment ratios †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦.. 44 Country positions on horizontal equity and equal educational opportunity measures of enrolment ratios in primary (P) and secondary (S) education †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦ 45 Average rankings on horizontal equity measures of public combined primary and secondary expenditure per pupil †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦. 50 Public combined primary and secondary expenditure per pupil ranking orders on horizontal equity measures †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦. 51 Correlation between GRP per capita and public combined primary and secondary expenditure per pupil †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦. 52 Correlation between regional population density and public combined primary and secondary expenditure per pupil †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦. 53 Country positions on horizontal equity and equal educational opportunity measures of expenditure per pupil in public combined primary and secondary education.

Artificial Posterior Teeth Denture Prosthodontics Health And Social Care Essay

Natural dentitions contribute to a figure of unwritten maps, therefore to keep these maps natural dentitions have to be restored once they are lost. A.C Elias et Al. ( 1 ) reveal that as a consequence of tooth loss maps as address, chew and visual aspect are harmed. Further John Joy Manappallil ( 2 ) explains that with the loss of teeth the psychological province of the patient may be harmed due to the bad visual aspect. The physical province of the patient may besides be affected due to the inability to masticate nutrient and hence weight loss may happen. One of the options available to reconstruct the maps lost subsequent to teeth loss is by the usage of a complete dental plate. Manappallil ( 2 ) provinces that patients expect dental plates to be recollective, supply esthetics, map and comfort. This paper will discourse the standards used to choose posterior unreal dental plate dentitions in order to accomplish a successful complete dental plate intervention. Jason F. McCord et Al. ( 3 ) reveal that the choice of posterior dentitions is a important portion of the line of intervention that nevertheless may non be considered by many tooth doctors and that this determination is chiefly left to the technicians. Aaron H. Fenton ( 4 ) provinces that it is unadvisable to non affect the patient during the procedure of choice of dentition. The choice of posterior dentitions is a complex procedure and in which a figure of factors must be considered. McCord et Al. ( 3 ) province that posterior dentitions should be selected depending on the patient ‘s demands. Hence, the clinician should see occlusal, stableness, and aesthetic factors during the procedure of choice. This means that a dental plate is considered successful when the patient feels comfy utilizing it. Elias et Al. ( 1 ) province in their reappraisal that unwritten comfort comprises deficiency of annoyance, aesthetics and masticatory efficiency. Deepak Nallaswamy Veeraiyan et Al. ( 5 ) point out that fro m the patient ‘s position the unreal dental plate dentitions are the most of import constituent of the dental plate as their map is to supply aesthetics, chew and address. As already mentioned above by Manappallil ( 2 ) the psychological and physiologic province is affected by the loss of dentitions. Psychological and physiologic province of the patient can be improved through complete dental plate intervention due to maps of unreal dentitions. Manappallil ( 2 ) explains that following a successful removable complete dental plate intervention the patient should be able to return to her/his normal activities, should be able to socialise confidently and should be able to masticate nutrients usually so that the sum of nutrient consumption is non comprised. Furthermore, Manappallil ( 2 ) besides reports that a complete dental plate must be well-retained, supported and stable so that it functions expeditiously. Posterior dental plate dentitions can lend to keeping and support. Mana ppallil ( 2 ) provinces that certain occlusal strategies can be utile in diminishing sidelong forces, therefore bettering keeping. He proceeds by explicating that dental plate stableness is affected by occlusal factors ; a decrease in sidelong forces and proper occlusion can help in bettering dental plate stableness. R. Mericske-Stern et Al. ( 6 ) suggests that the chief ground for a complete dental plate being described as unsatisfactory is denture instability and hurting during biting. In order for posterior unreal dentitions to execute their map and supply comfort, masticatory efficiency, aesthetics, dental plate stableness, keeping and cause no bone reabsorption they are selected depending on certain standards which are cuspal disposition, size, shadiness and stuff. Artificial posterior dental plate dentitions are available with different cuspal dispositions. Manappallil ( 2 ) provinces that the angle between the horizontal plane and cusp slope is termed cuspal disposition. Veeraiyan et Al. ( 5 ) grouped posterior dentitions harmonizing to their cuspal disposition or occlusal morphology into three groups. The first group comprises the cusp dentition that are subdivided into anatomic and semi-anatomic. The other two groups are the cuspless dentition and the particular tooth signifiers. Veeraiyan et Al. ( 5 ) province that anatomic dentitions are the most normally used and supply superior aesthetics. Their cusps may organize and angle of 33A ° or 30A ° . Their high quality to other types is chiefly a consequence of their resemblance to natural dentitions, their good masticatory map and their ability to diminish rotary motion of a dental plate. Nevertheless, drawbacks include that they are hard to put into balanced occlusion and the fact that s idelong forces displace the dental plate easy when these dentitions are used. Veeraiyan et Al. ( 5 ) reveal that semi- anatomic dentitions are besides termed modified-cusp or low-cusp dentitions. They make clear that cusps of semi-anatomic dentitions make an angle of 20A ° or 10A ° . Semi-anatomic dentitions are preferred in instances of unnatural jaw dealingss. They pose less trouble during puting into balanced occlusion, let for dental plate stableness during masticating as they cut down the consequence of sidelong emphasiss on the dental plate. However they show a lessening in masticatory efficiency and aesthetics. Manappallil ( 2 ) provinces that cuspless dentitions are besides referred to as level or monoplane or zero-degree dentitions, and that they were produced with the purpose of cut downing sidelong forces on the dental plate to better stableness. Veeraiyan et Al. ( 5 ) explain that teeth with a 0A ° cusp angle are indicated with neuromuscular upsets and hapless ridg e relationships. The benefits of cuspless dentitions are flexibleness during puting, decrease of the consequence of sidelong forces on dental plates, and proviso of more lingua room. However, they show a lessening in masticatory efficiency and supply least aesthetics. The last tooth signifier would be the particular tooth signifier. Veeraiyan et Al. ( 5 ) mentioned particular tooth signifiers which included French ‘s buttockss, VO buttockss and Sosin- bladed dentitions. In general, these can supply chair to excellent cutting efficiency but show hapless aesthetics and are more expensive. Bernard Levin ( 7 ) studies that F.A French designed non-anatomic dentition in the early twentieth century called French ‘s buttockss. Gallic wanted to take advantage of the cuspless dentition construct but besides increase masticatory and dental plate stableness. He attempted this by extinguishing the inframaxillary buccal cusps and puting a ridge of porcelain in the centre of the tooth mesiodistally. However, his effort was non successful due to the brickle nature of porcelain when exposed to masticatory forces. Levin ( 7 ) besides mentions that in 1946 Hardy introduced dentitions with a curved blade traversing the occlusal surfaces of dentitions. Vee raiyan et Al. ( 5 ) reveal that Hardy was the first to plan a tooth with a metal insert and called it the â€Å" Vitallium Occlusal † ( VO buttockss ) . The tooth has the visual aspect of the merger on one grinder and two bicuspids with a Vitallium metal insert that somewhat protrudes occlusally from the tooth ( Fig 1 ) . Due to the metal- to- metal contact a better masticatory efficiency is achieved. Levin ( 7 ) reveals that utilizing these dentitions it might be hard to accomplish balanced occlusion in add-on to being inaesthetic. The concluding particular tooth signifier is the Sosin bladed tooth. Levin ( 7 ) studies that it was introduced by M.B Sosin and that he designed them by puting a blade on the whole occlusal surface of grinders and bicuspids of maxillary dentitions. He placed metal tabular arraies on the inframaxillary dental plate dentitions to oppose these blades. The dentitions were extremely efficient but were inaesthetic and required a tooth doctor with adept accomplishments to put them up. Veeraiyan et Al. ( 5 ) that nowadays the best masticatory efficiency is exhibited by Sosin bladed dentitions. Fig. 1

College-Essay Websites Get a Failing Grade

College-Essay Websites Get a Failing Grade College-Essay Websites Get a Failing Grade College-Essay Websites Get a Failing Grade By Mark Nichol Just for fun, I recently searched online for websites that sell academic essays, with the intention of evaluating the quality of their product. Immediately, however, I found I could judge these providers just by their marketing content and most of them failed the test. College-essay services have been around for decades. I recall that when I was editor of my college newspaper pre-Internet we ran a classified ad for one; to my lasting shame, it never occurred to me to buy an essay and write an investigative article about such services. (They’ve long since migrated from the ghetto of the college-newspaper classifieds to the pleasant, professional-looking facade of the Web.) I examined the sites for the first five college-essay services that came up in my search using the simple term â€Å"essays.† (Most of the returns for this very general search parameter are for college-essay sites.) I was amused to find out that though most providers doth protest too much that they merely provide essays as research material or to model good essay writing, some blatantly admit that they offer essays for plagiaristic purposes to college (and high school) students who don’t have the time or the motivation to, you know, actually fulfill their academic responsibilities. Even more amusing was to find out that most of the sites, in the critical area of introducing themselves to potential customers, chose to hire laughably low-bid writers to craft SEO-friendly home page copy describing their services. Of the five sites I visited, three of them have marketing content obviously written by someone for whom English is not a native language; each of these overtures is awful. A fourth site has competently written content but inspires no more confidence about the quality of the product, and a fifth, which has no home page welcome but does feature a FAQ page, includes thereon inspirational quotes from Albert Einstein and Anis Nin (and â€Å"the Danish proverb† there’s only one Danish proverb?) and displays problematic punctuation and occasional grammatical infelicities: For example, in describing one category of essays (some are available free but are frankly flagged as not being especially well written), the site declared, â€Å"Do not fear errors in this research, there are none.† (But that sentence features a comma splice.) I did, in fact, peek at a couple of essays, including one titled â€Å"Why Would You Want to Watch Sex in the City?† (The site also offered, in a category labeled Miscellaneous, â€Å"Best Man Toasts,† â€Å"Eulogies,† and â€Å"Wedding Speeches† and, oh, yeah, â€Å"College Admissions Essays.†) Let’s just say that free isn’t a good enough deal; these sites should pay me for the pain and suffering endured while reading samples of their inventory. College-essay websites, despite the questionable quality of their products actually, there’s no question will continue to flourish and thrive for as long as students take ethical shortcuts, but there are plenty of other options for those in the target market who might feel the nagging tug of conscience. Most colleges (and many high schools) offer resources for students seeking assistance in essay writing. We have also covered this topic in the past, so search the site to find related posts. Want to improve your English in five minutes a day? Get a subscription and start receiving our writing tips and exercises daily! Keep learning! Browse the Writing Basics category, check our popular posts, or choose a related post below:7 Classes and Types of PhrasesCapitalization Rules for the Names of GamesHow often is "bimonthly"?

Amazing Sand Dollar Facts

Amazing Sand Dollar Facts A sand dollar (Echinarachnius parma) is an echinoid, a type of invertebrate animal whose skeletons- called tests- are commonly found on beaches the world over. The test is usually white or grayish-white, with a star-shaped marking in its center. The common name for these animals comes from their likeness to silver dollars. When they are alive, sand dollars look much different. They are covered with short, velvety spines that  are colored purple to reddish brown. Fast Facts: Sand Dollar Scientific Name: Echinarachnius parmaCommon Name(s): Common sand dollar or northern sand dollar; also known as sea cookies, snapper biscuits, sand cakes, cake urchins, or pansy shellsBasic Animal Group: InvertebrateSize: Live adult animals measure between 2–4 inches in diameter, and approximately 1/3 inch thick  Lifespan: 8–10 yearsDiet:  CarnivoreHabitat: Northern parts of the Atlantic and Pacific oceansPopulation: UnknownConservation Status: Not evaluated Description Living animals of the common sand dollar (Echinarachnius parma) species are generally sub-circular, measuring approximately 2–4 inches across, and are coated with spines that are purple, reddish-purple or brown in color. The test of the sand dollar is its endoskeleton- it is called an endoskeleton because it lies underneath the sand dollars  spines and skin, and it is made of fused calcareous plates. This is different than the skeletons of other echinoderms- sea stars, basket stars, and brittle stars have smaller plates that are flexible, and the skeleton of sea cucumbers is made up of tiny ossicles buried in the body. The top (aboral) surface of the sand dollar test  has a pattern that looks like five petals. There are five sets of tube feet that extend from these petals, which the sand dollar uses for respiration. The sand dollars anus is located at the rear of the animal- found in the edge of the test below the single vertical line extending from the center of the star. Sand dollars move by using the spines located on their underside.   Daniela Duncan / Getty Images Species Sand dollars are echinoderms, which means like sea stars, sea cucumbers, and sea urchins, they have a radiating arrangement of parts and a body wall stiffened by bony pieces such as spines. In fact, they are basically flat sea urchins and are in the same class, Echinoidea, as sea urchins. This class is divided into two groups: the regular echinoids (sea urchins and pencil urchins) and irregular echinoids (heart urchins, sea biscuits, and sand dollars). The irregular echinoids have a front, a back and basic bilateral symmetry on top of the normal pentameral symmetry (five parts around a center) that regular echinoids possess.   There are many species  of sand dollars. Besides E. parma, those found commonly in the United States include: Dendraster excentricus  (Eccentric, western, or Pacific sand dollar) are found in the Pacific Ocean from Alaska to Baja, California. These sand dollars grow to about 4 inches across and have gray, purple or blackish spines.Clypeaster subdepressus  (Sand dollar, sea biscuit) live in the Atlantic Ocean and the Caribbean Sea, from the Carolinas to Brazil.  Mellita sp. (Keyhole sand dollars or keyhole urchins) are found in tropical waters in the Atlantic, Pacific, and the Caribbean Sea. There are approximately 11 species of keyhole sand dollars. Sand dollars are classified as follows: Kingdom: AnimaliaPhylum: EchinodermataClass:  Clypeasteroida (includes sand dollars and sea biscuits) Habitat and Distribution Common sand dollars have been found throughout the North Pacific and eastern North Atlantic oceans, at locations from just below the intertidal zone to more than 7,000 feet.  As their name suggests, sand dollars prefer to live in the sand, in densities ranging between .5 and 215 per 10.7 square foot. They use their spines to burrow into the sand, where they seek protection and food.  Adult sand dollars- those over 2 inches in diameter- live in the intertidal zone. Most sand dollars live in seawater (saline environments), although some species do occur in estuarine habitats which combine of river and lake water, and are chemically distinct from saline or freshwater environments. Studies show that sand dollars require a certain level of salinity to fertilize their eggs. The sand dollar uses its spines to burrow into sand. Douglas Klug / Getty Images Diet and Behavior Sand dollars feed on small food particles in the sand, typically microscopically sized algae, but they do also eat fragments of other animals and have been classed as carnivores according to the World Register of Marine Species. The particles land on the spines, and then are transported to the sand dollars mouth by its tube feet, pedicellaria (pincers), and mucous-coated cilia. Some sea urchins rest on their edges in the sand to maximize their ability to catch prey that is floating by.   Like other sea urchins, the mouth of a sand dollar is called Aristotles lantern and is made up of five jaws. If you pick up a sand dollar test and shake it gently, you may hear the pieces of the mouth rattling inside. Reproduction and Offspring There are male and female sand dollars, although, from the outside, it is difficult to tell which is which. Reproduction is sexual and accomplished by the sand dollars releasing eggs and sperm into the water. The fertilized eggs are yellow in color and coated in a protective jelly, with an average diameter of about 135 micros, or 1/500th of an inch. They develop into tiny larvae, which feed and move using cilia. After several weeks, the larva settles to the bottom, where it metamorphoses. Juveniles (under 2 inches in diameter) are found in the subtidal zones and slowly migrate into exposed beach areas as they mature; the smallest are found in the highest beach elevations. They can bury themselves in the sand up to two inches deep, and very dense populations can stack themselves up to three animals deep. Threats Sand dollars may be affected by fishing, especially from bottom trawling, ocean acidification, which may affect the ability to form the test;  climate change, which might affect available habitat; and collection. Reduced salinity lowers fertilization rates. Although you can find plenty of information on how to preserve sand dollars, you should collect only dead sand dollars, never live ones. Sand dollars are not eaten by humans, but they can be prey for sea stars, fish, and crabs. Conservation Status The sand dollar is not currently listed as an endangered species. Sand Dollars and Humans Sand dollar tests are sold in shell shops and on the internet, for decorative purposes or souvenirs and often with a card or inscription referencing the  Legend of the Sand Dollar. Such references are associated with Christian mythology, suggesting that the five-pointed star in the center of the top of the sand dollars test is a representation of the Star of Bethlehem that guided the wise men to the baby Jesus. The five openings in the test are said to represent Jesuss wounds during his crucifixion: the four wounds in his hands and feet and the fifth in his side. On the underside of the sand dollar test, it is said that there is an outline of a Christmas poinsettia; and if you break it open, you will find five small bones that represent doves of peace. These doves are actually the five jaws of the sand dollars mouth (Aristotles lantern).   Other lore about sand dollars references the washed-up tests as mermaid coins or coins from Atlantis. Sources Allen, Jonathan D., and Jan A. Pechenik. Understanding the Effects of Low Salinity on Fertilization Success and Early Development in the Sand Dollar Echinarachnius Parma. The Biological Bulletin 218 (2010): 189–99. Print.Brown, Christopher L. Substrate Preference and Test Morphology of a Sand Dollar (Echinarachnius Parma) Population in the Gulf of Maine. Bios 54.4 (1983): 246–54. Print.Coulombe, Deborah. Seaside Naturalist: A Guide to Study at the Seashore. Simon Schuster, 1980..Echinarachnius parma (Lamarck, 1816). World Register of Marine Species.Echinarachnius parma (Lamarck 1816). Encyclopedia of Life.  Ellers, Olaf, and Malcolm Telford. Collection of Food by Oral Surface Podia in the Sand Dollar, Echinarachnius Parma (Lamarck). The Biological Bulletin 166.3 (1984): 574–82. Print.Harold, Antony S., and Malcolm Telford. Substrate Preference and Distribution of the Northern Sand Dollar, Echinarachnius Parma (Lamarck). International Echinoderms Conference. Ed . Lawrence, J.M.: A.A. Balkema, 1982. Print. Kroh, Andreas. Clypeasteroida. World Echinoidea Database, 2013.Pellissier, Hank. Local Intelligence: Sand Dollars. The New York Times, January 8, 2011. Smith, Andrew. B. Skeletal morphology of sand dollars and their relatives. The Echinoid Directory. Waggoner, Ben. Introduction to the Echinoidea. University of California Museum of Paleontology, 2001.

Biography of F. Scott Fitzgerald

Biography of F. Scott Fitzgerald F. Scott Fitzgerald, born Francis Scott Key Fitzgerald (September 24, 1896 – December 21, 1940) was an American author whose works became synonymous with the Jazz Age. He moved in the major artistic circles of his day but failed to garner widespread critical acclaim until after his death at the age of 44. Fast Facts: F. Scott Fitzgerald Full Name: Francis Scott Key FitzgeraldKnown For:  American authorBorn:  September 24, 1896 in St. Paul, MinnesotaDied:  December 21, 1940 in Hollywood, CaliforniaSpouse:  Zelda Sayre Fitzgerald (m. 1920-1940)Children:  Frances Scottie Fitzgerald (b. 1921)Education: Princeton UniversityNotable Works: This Side of Paradise, The Great Gatsby, Tender Is the Night, The Curious Case of Benjamin Button Early Life F. Scott Fitzgerald was born in St. Paul, Minnesota, to a well-off upper-middle-class family. His parents were Edward Fitzgerald, a former Marylander who moved north after the Civil War, and Molly Fitzgerald, the daughter of an Irish immigrant who made a fortune in the grocery industry. Fitzgerald was named after his distant cousin, Francis Scott Key, who famously wrote â€Å"The Star-Spangled Banner.† Only a few months before his birth, two of his sisters died suddenly. The family did not spend his early life in Minnesota, however. Edward Fitzgerald worked mostly for Proctor and Gamble, so the Fitzgeralds spent most of their time living in upstate New York and in West Virginia, following Edward’s job demands. Nevertheless, the family lived quite comfortably, thanks to a wealthy aunt and Molly’s inheritance from her own rich family. Fitzgerald was sent to Catholic schools and proved to be a bright student with a particular interest in literature. In 1908, Edward Fitzgerald lost his job and the family returned to Minnesota. When F. Scott Fitzgerald was 15 he was sent away from home to attend a prestigious Catholic prep school, the Newman School, in New Jersey. College, Romances, and Military Life After graduating from Newman in 1913, Fitzgerald decided to stay in New Jersey to continue working on his writing, rather than returning to Minnesota. He attended Princeton and became heavily involved with the literary scene on campus, writing for several publications and even joining a theatre troupe, the Princeton Triangle Club. During a visit back to St. Paul in 1915, Fitzgerald met Ginevra King, a debutante from Chicago, and they began a two-year romance. They conducted their romance mostly through letters, and she was reportedly the inspiration for some of his most iconic characters, including The Great Gatsby’s Daisy Buchanan. In 1917, their relationship ended, but Fitzgerald kept the letters she’d written to him; after his death, his daughter sent them to King, who kept them and never showed them to anyone. F. Scott Fitzgerald in his military uniform in 1918; he never saw action in the war.   Time Life Pictures / Getty Images Fitzgerald’s writing-related activities took up the bulk of his time, which meant he neglected his actual studies to the point of being on academic probation. In 1917, he officially dropped out of Princeton and joined the Army instead, as the U.S. was just joining World War I. He was stationed under the command of Dwight D. Eisenhower, whom he despised, and feared that he would die in the war without ever having become a published author. The war ended in 1918, before Fitzgerald was ever actually deployed overseas. New York and Europe in the Jazz Age While stationed in Alabama, Fitzgerald met Zelda Sayre, the daughter of a state Supreme Court justice and a Montgomery socialite. They fell in love and became engaged, but she broke it off, worried that he would be unable to support them financially. Fitzgerald revised his first novel, which became This Side of Paradise; it sold in 1919 and was published in 1920, becoming a quick success. As a direct result, he and Zelda were able to resume their engagement and were married that same year in New York City at St. Patrick’s Cathedral. Their only daughter, Frances Scott Fitzgerald (known as â€Å"Scottie†) was born in October 1921. The Fitzgeralds became staples of New York society, as well as the American expatriate community in Paris. Fitzgerald formed a close friendship with Ernest Hemingway, but they came into conflict over the subject of Zelda, who Hemingway openly hated and believed was holding Fitzgerald’s career back. During this time, Fitzgerald supplemented his income by writing short stories, since only his first novel was a financial success during his lifetime. He wrote The Great Gatsby in 1925, but although it’s regarded as his masterpiece now, it was not a success until after his death. Much of his writing was tied to the â€Å"Lost Generation,† a phrase coined to describe the disillusionment in post-WWI years and often associated with the group of expatriate artists with which Fitzgerald mingled. Zelda and F. Scott Fitzgerald, circa 1921. Time Life Pictures / Getty Images   In 1926, Fitzgerald had his first movie offer: to write a flapper comedy for the United Artists studio. The Fitzgeralds moved to Hollywood, but after Fitzgerald’s affair with actress Lois Moran, their marital difficulties necessitated a move back to New York. There, Fitzgerald began working on a fourth novel, but his heavy drinking, financial difficulties, and Zelda’s declining physical and mental health got in the way. By 1930, Zelda was suffering from schizophrenia, and Fitzgerald had her hospitalized in 1932. When she published her own semi-autobiographical novel, Save Me the Waltz, in 1932, Fitzgerald was furious, insisting that their lives together were â€Å"material† that only he could write about; he even managed to get edits made to her manuscript before publication. Later Years and Death In 1937, after Zelda’s final hospitalization, Fitzgerald found himself financially unable to decline an offer from Metro-Goldwyn-Mayer to move to Hollywood and write exclusively for their studio. During that time, he had a high-profile live-in affair with gossip columnist Sheilah Graham, and he wrote a series of short stories mocking himself as a Hollywood hack. His hard living began to catch up with him, as he had been an alcoholic for decades. Fitzgerald claimed to suffer from tuberculosis–which he very well may have–and he suffered at least one heart attack by the end of the 1930s. On December 21, 1940, Fitzgerald suffered another heart attack at his home with Graham. He died almost instantly, aged 44. His body was taken back to Maryland for a private funeral. Since he was no longer a practicing Catholic, the Church refused to allow him a burial in the Catholic cemetery; he was instead interred at Rockville Union Cemetery. Zelda died eight years later, in a fire at the asylum where she was living, and she was buried next to him. They remained there until 1975, when their daughter Scottie successfully petitioned to have their remains moved to the family plot at the Catholic cemetery. Legacy Fitzgerald left behind an unfinished novel, The Last Tycoon, as well as a prolific output of short stories and four completed novels. In the years after his death, his work became more praised and more popular than it ever was during his life, especially The Great Gatsby. Today, he’s regarded as one of the greatest American writers of the 20th century. Sources Bruccoli, Matthew Joseph. Some Sort of Epic Grandeur: The Life of F. Scott Fitzgerald. Columbia, SC: University of South Carolina Press, 2002.Curnutt, Kirk, ed. A Historical Guide to F. Scott Fitzgerald. Oxford: Oxford University Press, 2004.