What’s Decentralization Got To Do With Learning? The Case of Nicaragua’s School Autonomy Reform Elizabeth M. King and Berk Özler Development Research Group The World Bank Please do not quote. For comments only. Revised April 27, 1998 Abstract. Despite its growing popularity, school-based management is seldom evaluated systematically with respect to its impact on student performance. This study examines the impact of the current school autonomy reform in Nicaragua on learning within an educational production function approach. Results show that autonomous public schools are indeed making more decisions about pedagogical and administrative matters than do traditional public schools, but because there is a lag in transforming school decision-making after a school becomes legally autonomous, autonomy de jure does not appear to have any impact on student test scores. However, another autonomy variable which measures the actual level of decision-making by the school is positively associated with student test scores. In particular, schools that exert greater autonomy with respect to teacher staffing and the monitoring and evaluation of teachers appear to be more effective in raising student performance. *Paper presented at the Annual Meetings of the American Educational Research Association held in San Diego, CA, April 13-17, 1998. **This study has been funded by the Development Research Group of the World Bank and its Research Support Budget (RPO 679-18). The authors wish to thank the other members of the Nicaragua Reform Evaluation Team, especially Patricia Callejas, Nora Gordon, Adolfo Huete, Liliam Lopez, Reina Lopez, Nora Mayorga, and Laura Rawlings, and Manuel Vera. The authors also wish to thank Deon Filmer, Jyotsna Jalan, Peter Lanjouw, Stefano Paternostro, and attendees at our World Bank DECRG seminar for their insightful comments. The findings, interpretations, and conclusions are the authors’ own and should not be attributed to the World Bank, its Board of Directors or any of its member countries. Comments are welcome and should be sent directly to the authors: E-mail addresses: [email protected]; [email protected]. What’s Decentralization Got To Do With Learning? The Case of Nicaragua’s School Autonomy Reform Elizabeth M. King and Berk Özler The World Bank 1. Introduction One type of education reform has been gaining support in developing countries in the past decade. It is transforming the way public schools operate, making them more directly accountable to students, parents, and communities. This reform is known by several names -- school-based management, school autonomy reform, school improvement programs -- but is really different forms of administrative decentralization. The argument for the reform goes as follows: actors who have the most to gain or lose and who have the best information about what actually goes on in schools are best able to make appropriate decisions about how schools should use ever more scarce resources and how students should be taught. Following this argument, countries have shifted responsibility and power to communities, school actors (principals and teachers), parents, and even students. Despite its growing popularity, school-based management is seldom evaluated systematically with respect to its impact on student performance in developing countries, or even in the United States (Summers and Johnson, 1994; Hanushek, 1994). Whether or not changes in school management produce better learning outcomes for students is the principal question we address in this paper. We examine this with respect to a current education reform in Nicaragua. The reform gives public schools greater autonomy by shifting responsibility for key areas of decision-making from the Ministry of Education directly to the schools themselves. Our results show that autonomous public schools which 1 are expected to be managed more like private schools than traditional public schools are indeed making more decisions about pedagogical and administrative matters. However, the degree to which the autonomous schools are really autonomous, as measured by their decisionmaking, varies widely among them -- in part a result of the usual lag in implementation of reforms, and in part a result of local school capacity. The results also indicate that it is realized or de facto autonomy, rather than simply whether or not a public school has signed up for the reform, that is positively and significantly associated with student performance. The next section revisits the literature on education production functions and discusses why decentralized schools might affect student performance. Section 3 gives a brief overview of the reform in Nicaragua. Section 4 describes the data sources and the empirical approach used in this study. Section 5 presents and discusses the results. Section 6 summarizes the conclusions. 2. Why Decentralize? Revisiting the Education Production Function There is no developed theory in economics of why and how school governance would affect student performance. However, if one were to consider, even momentarily, that schools are like other enterprises and teachers and school directors like other workers, then the economic literature does offer relevant models (de Groot, 1988; Stiglitz, 1988). Economic models of decision-making in organizations emphasize the costs associated with collecting and exchanging information and the costs associated with coordinating various functions or parts of the organization (monitoring and transaction costs), the costs associated with divergence in the goals of the organizations and those of the employees 2 involved in decision-making (agency costs), and the difficulties involved in measuring outcomes resulting from decisions made (moral hazards). In education, the principal argument for administrative decentralization is that the actors who are closer to the classroom -- school principals, teachers, parents, and students -- have better information than the officials of the central government or even subnational governments, and thus better able to make the best decisions for improving school operations and consequently, learning. It has been argued that the distance between government officials and school actors is just too great to enable speedy and informed decisions. It has also been argued that closer parent-school partnerships through decentralization can improve both the school and home environment with respect to learning. These partnerships can elicit commitment to self-made decisions and greater accountability on the part of teachers and the school principal. In delegating responsibility and power to the school, governments are faced with the challenge of designing contracts and incentive systems that will minimize diverging interests between principals and agents and that will ensure that central mandates are achieved, or that the local agents behave as closely as possible along the goals of the principals (de Groot, 1988; Hannaway 1993). Governments are also faced with the choice of to whom to devolve responsibility and decision-making authority. Several alternatives exist -- decentralization to subnational administrative units; school-based management in which some degree of control is transferred to principals and teachers in a school; and increased parental and community influence in schools by way of electing parent and citizen representatives to school councils. 3 Another issue in decentralization reforms has to do with which of the many functions in the system to decentralize. There are no simple rules to follow. Some argue that there is no such thing as a decentralized educational system because almost all decisions (e.g., finance, personnel, curriculum) retain degrees of centralization and decentralization (Hanson 1995). The issue then becomes one of finding the appropriate balance, given the system objectives. For example, when the goal is clearly that of improving student performance, which decision needs to be more than less decentralized? One expected outcome of administrative decentralization as exemplified by schoolbased management reforms is better classroom instruction and better student performance. To achieve these, the reform has to affect either one, or both, of two things: the quality and quantity of educational inputs, and the efficiency with which these inputs are used. These are the elements of an education production function, or the relationship between school outcomes for a student and the measurable education inputs in the school and the home. The hypotheses underlying this function are that more school and family inputs into the education process produce more learning -- that is, more highly educated and more experienced teachers, smaller classes, more books, better facilities, and more educated parents should lead to higher student achievement. A review of hundreds of production function studies by Hanushek (1995) does not reveal a strong or systematic relationship between observable school inputs and student performance. He concludes that “the results of studies in developing countries do not make a compelling case for specific input policies. They do, however, indicate that direct school resources might be important in developing countries” (1995, p. 281). Levin (1995) makes a similar observation: “Although the educational production approach continues to be 4 pursued, results since the 1960s have provided little consistency in findings. Family inputs are always important statistically in explaining student achievement, but there is wide variability from study to study in terms of which teacher and other school inputs are related to achievement.” One explanation offered by Levin for these findings is that schools are a more complex production organization than most firms, with its output and some inputs not easily measured. For example, while teachers’ education and years of experience can be directly observed, it is difficult to monitor the quality of teachers’ work behind closed doors. In fact, “school policies that attempt to control teacher activity are important mediating devices in transforming teacher inputs into specific educational outcomes, but these are almost never considered in educational production functions” (Levin, 1995, p. 285).1 Herein lies a principal argument by proponents of school-based management or decentralized schools -- that besides inputs, how motivated teachers are or how well schools are managed and inputs allocated are important determinants of the learning process.2 These factors pertain to the efficiency of use of observable inputs. The role of having observable measures of school management has been examined by Lockheed and Zhao (1993) and Glewwe et al. (1995). They estimated the effect of variables such as the relative influence of the central authority compared with 1 2 In a fuller discussion of this point, Levin (1980) wrote: “The traditional educational production function utilizes only measures of teacher capacity in specifying teacher inputs. That is, it is assumed that capacity will be automatically transformed into the effort levels and time allocations that are consistent with the agenda of the school. On the contrary, success in converting the capacity of teachers (or labor power) into teacher effort and time allocation (or labor) will depend on how the school is organized to make this transformation” (p. 215). Hoxby offers increased teacher unionization as another explanation of why measured school inputs appear to have little effect on student achievement in the United States, especially for the cohorts educated after 1960 (199x). 5 the school principal’s on the school’s organization, the principal’s and teachers’ influence on the curriculum amd selection of students, and of community involvement variables. In the Philippines, Lockheed and Zhao found the decentralization to be an “empty opportunity”: local public schools created by the decentralization did not, in fact, exert local control and had fewer resources to work with than the traditional government schools. They found no positive association between the extent of school decisionmaking and student learning, but this finding could have been a result of the stratification of the sample by type of school. In Jamaica, Glewwe et al. found the variables on teachers and school management to be only weakly significant. We are unaware of other similar estimates of the education production function that include the effect of school management. The current study contributes to this gap; further, it examines the effect of school management within the context of an ongoing reform. 6 3. Nicaragua’s Education Reform This section provides a brief overview of Nicaragua’s school autonomy reform. In 1991, the new coalition government of Nicaragua established councils in all public schools to ensure the participation of the school community and parents in making school decisions (Ministry of Education, 1993). These school councils are composed of the school principal, teachers, parents and students, with the number of representatives varying according to the size of the school. Except for the student members, each council member has an equal vote in making decisions. The reform was expanded in 1993, first through a pilot program which transformed the school councils (Consejos Consultivos) of 20 public secondary schools into school management boards (Consejos Directivos), thus creating “autonomous” public schools. This program transferred key management tasks from central authorities to the directive councils. In 1994, 33 more secondary schools signed the requisite contract with the Ministry and became autonomous, and by the end of 1995, participation had increased to well over 100 secondary schools. The reform was extended to primary schools in 1995. It then took on two forms: one for urban schools which is similar to the secondary school model, and another for rural schools. For rural schools a new model of autonomy was introduced: the Nucleos Educativos Rurales Autónomos (NER) is a group of schools, formed around one center school, that acts as one autonomous school with a shared council. Its directive council is based in the center school which is usually the largest in the group and the only school to have a director. As of December 1995, there were over 200 single autonomous primary schools and 42 NERs consisting of two to four schools each. 7 The public schools that have become autonomous are legally vested with many of the features of private schools. Table 1 compares public, traditional and autonomous, and private schools with respect to who has the responsibility for various functions, the Ministry of Education, subnational governments, or the school. For example, the councils in autonomous public schools and private schools have the ability to hire and fire the school director and are involved generally in maintaining their school’s physical and academic quality, whereas the councils in traditional public schools rely more on the government. However, the Ministry of Education retains responsibility for structuring the education system, establishing norms for staff promotions and teacher certification, and setting the curriculum in all schools. The essence of the transformation of Nicaragua’s basic education system can be seen in the differences in councils’ responsibilities across schools.3 [Table 1 about here] 3 Autonomous schools vary from traditional schools on several counts regarding pedagogy. First, in formulating the annual pedagogical plan, directive councils can make changes in the curriculum from year to year. Additionally, directive councils can choose their own textbooks and set their own norms for evaluating students. Consultative councils can make these changes only with the approval of the Ministry. There are also important differences in administrative responsibilities. Directive councils in autonomous schools can hire and fire the school principal and teachers. In traditional public schools, the school principal is selected by the Ministry, and the Ministry also has to approve the principal’s selection of teachers and administrative personnel. Consultative councils in traditional schools are vested with none of these rights. All councils are responsible for setting and administering the school budget, setting voluntary fees, and informing the community about the state of the school's finances. Autonomous schools can set the level of monthly fees paid by students. In practice, a council’s financial authority depends upon the school being able to generate local resources since the base salaries for teaching staff and the regular fee schedule for goods and services provided by the school are set by the Ministry of Education. Funding for autonomous schools is a combination of monthly lump-sum transfers from the central government and locally generated resources collected from student fees, community contributions and school activities. The lump-sum transfers are expected to cover base salaries and expenditures associated with routine maintenance of the school. All secondary schools are also encouraged to collect a fee of ten córdobas per month (equivalent to US$1.22) from each student, which may be retained in the school while traditional public schools must return one-half to the central government. The constitution which guarantees primary education prevents primary schools from charging fees. However, it is customary for primary schools to collect a “voluntary” fee of five córdobas per month per student. 8 4. Data Sources and Empirical Model The evaluation of Nicaragua’s reform has been underway since 1995 and is still going on. It is being undertaken by a team from the Ministry of Education and the World Bank’s Development Research Group, including the authors. The evaluation strategy chosen by the team is a matched comparison design which is based on selecting a sample of treatment or program schools (the autonomous schools) and comparison groups among nonautonomous public schools and private schools to provide the counterfactual to the program schools. This evaluation approach was selected because of the way in which the reform has been implemented: in the initial phase of the reform, the government conducted a promotion campaign with a focus on large, urban secondary schools; some schools were virtually hand-picked, while others were persuaded to volunteer. This mode of inscription into the program ruled out an experimental evaluation strategy. Moreover, the reform began without baseline data. By the time the evaluation began, almost a hundred secondary schools had already signed the autonomy contract, with nearly half of them having been autonomous for at least one year. The first data collection in 1995 provided a baseline for the non-autonomous public schools for future data collection, but for the early reformers, the best that could be hoped for was a comparison between traditional (non-reform) schools and autonomous schools of different program duration. Bringing the time dimension into the analysis was expected to measure the impact of the reform over time, especially the lag in realizing the effects of the reform. Data Sources 9 Three components of the evaluation has been completed so far -- a panel of two matched school-household surveys conducted in November-December 1995 and AprilAugust 1997, and student achievement tests in November 1996. Each matched schoolhousehold survey collected information on a wide array of variables, including school enrollment, levels of student grade repetition and dropout; schools’ physical and human resources; and characteristics of the school principal, teachers, students and their families. Different questionnaires were applied to school directors, teachers, and council members to obtain school- and individual-level information. A special module was developed to inquire about school decision-making: who the primary decision-maker was in aspects such as budget allocations, hiring and firing of school personnel, pedagogical methods, and the choice and distribution of textbooks; and how the respondents feel about their influence in how each of these decisions are made (Appendix A). A sample of students was also randomly selected from each school and followed to their homes in order to obtain information on their families’ socioeconomic status and parents’ participation in school affairs. These same students, with exceptions (to be discussed later), were given achievement tests in mathematics and language in December 1996. The school sample was selected according to the chosen evaluation strategy; thus, it is not nationally representative. The first school-household survey covered 116 schools at the secondary level, 73 of which were autonomous public schools and 43 were traditional public or private schools. At the primary level, the sample included 80 autonomous schools and 46 traditional schools. In all, the survey interviewed about 400 teachers, 182 council members, and about 3,000 students and their parents. To the extent possible, the respondents from the council were selected such that they were not the same teachers or 10 parents who answered the teacher or parent questionnaire. In very small schools, especially at the primary level, this was not always possible. For the most part, the unit of analysis in this paper is the student. A random sample of 10-15 students in the third grade of primary school or in the second year of secondary school was surveyed in the relevant sample schools in 1995. After taking account of missing data due primarily to non-matching of students and parents, the student sample numbers 1,484 and 1,430 at the primary and secondary levels, respectively. For a variety of reasons, summarized in Table 2, not all these students were given the achievement tests at the end of the 1996 school year: Some students had dropped out of school by then, or had repeated the previous grade and were thus ineligible to take the grade four (primary) or third year (secondary) tests.4 Some students had transferred to another school. Some of these were followed in cases where students transferred to a school within the sample of schools, but those who moved to other schools were lost to the sample. Yet still other students simply did not appear for the test. Finally, there appears to have been unexplained discrepancies between the student lists presented by schools during the school-household survey and the tests. [Table 2 about here] All these reasons diminished the original sample of students. Because of the intention of the evaluation team to continue the study over several years, the student 11 sample of replacement students from the same classes as the original sample. Ultimately, we are able to work with a sample of 1,691 students in 92 schools at the primary level, and 1,885 students in 95 secondary schools. Of these, 1,146 and 1,253 students have test scores at the primary and secondary levels, respectively. The usual concern about sample attrition is that it may not be random such that the observable characteristics of students are not independent of the disturbance term in the education production function. This is certainly the case with respect to students who repeated the grade, and is also true for a fraction of students who dropped out to the extent that these students also would have repeated the grade had they continued in school. Even the students who did not repeat but transferred to a different school are suspect. Apparently, students prefer to transfer schools to avoid the ridicule of their peers. We test the hypothesis that replacing students who were promoted but were absent from the test with randomly selected students from the pool of students already promoted does not change the results of a probit model of the probability of grade promotion and continuation. Both a log-likelihood test and a joint equality of means test for the coefficients of the probit equation confirm that we cannot reject the null hypothesis.5 Therefore, we substitute the students who were absent from the test but were promoted with the replacement students. We tackle the sample attrition problem by explicitly estimating the probability that a student will pass a grade and continue in school. This probability is estimated using the 1995 original sample of students who were present at testing, the replacement 5 Likelihood ratio tests give Chi-square values of 1.02 and 1.08 for primary and secondary schools, respectively. With 30 restrictions, we cannot reject the hypothesis that the parameter estimates are equal for each sample. 12 students, and the students who were repeating their respective grade or had dropped out. The estimated parameters are then used to calculate a predicted probability of being promoted a grade between 1995 and 1996, which is included in the achievement test equations as a selectivity bias factor. This model is well known in the labor economics literature for its application in wage functions (Heckman 1976b). This predicted probability is estimated not only for the original sample of students for whom the test scores are available, but also for the replacement students who were given the tests in 1996. Since the replacement students were randomly drawn from the same classes as the original sample, they are assigned the same school characteristics and mean family characteristics in their respective schools. An alternative approach to deal with this issue would be to impute their family characteristics in 1995 using student-specific data from the follow-up school-household survey in 1997. Unfortunately, these newer data have only very recently become available; we plan to incorporate them in the next version of this paper. The econometric model is discussed further in the next section. It is more difficult to deal with sample attrition due to no-show during the test and due to errors in student lists. We assume the latter to be at least independent of the test results and thus does not produce biased coefficients. We have also thus far assumed the same for no-shows since the absence rate from the exam is not unduly high. Empirical Model Put simply, we estimate an expanded education production function, which can be written as follows: Qij = Q(Z1ij, Mj), 13 where Z1 is a composite variable consisting of the vectors of school inputs, household and student characteristics, and Mj indicates the management regime in school j. The “technical efficiency” factor thus enters the production function additively like other inputs; an alternative formulation that will be tried in the future is a multiplicative specification. Assuming a linear functional form and discarding the subscripts for student and school for simplicity, the educational production regression is: Q = Z1β1 + Mδ + u1 where u1 is a stochastic error term and Z1 is assumed to be exogenous and therefore orthogonal to u1. M, however, is unlikely to be exogenous in that many of the school characteristics that determine student performance are also probably related to the choice of management structure of the school. In the Nicaragua case, although the reform is meant to be system-wide, thus far, participation is not yet universal. Schools have been allowed to phase in gradually, and participation measured at any point in time since 1993 has depended on both selection by the central government and the willingness of individual schools to be persuaded to join.6 Since participation is at least partially demand-driven, we cannot assume that M is exogenous and must estimate the following structural model: Q = Z1β1 + Mδ + Aγ + u1 (1) A = Z2β2 + u2 (2) Equation (1) is an expanded production function that allows for the non-random selection of schools into the reform, while equation (2) represents the underlying selection process into 6 One could also argue that the vector of school characteristics that pertains to a student is not exogenous because of school choice. We ignore this issue in this paper. Although school choice may exist in the larger urban areas of Nicaragua (and other countries), it is quite limited in most communities because of the constraints on school supply and means of transportation. 14 the reform by the central government. Participation in the reform by any school depends on two forces which can be viewed as occurring in seriatim -- first, the central government makes an offer to a school to join the reform, an invitation which depends on the likelihood that the school will benefit from the reform and thus provide a good demonstration case for other schools; second, given the offer, the willingness of the school and/or community to participate, which presumably depends on its own perception of the net benefits of participation. The government offer is assumed to be a function of Z2 , which is a vector of a subset of variables belonging to Z1. The community and/or school willingness to participate depends on also a subset of Z1 and on a vector of community-level variables, G. After the necessary substitutions, the model can be written as follows: Q = Z1β1 + Mδ + Z2β2γ + v1, where v1 = u1 + γu2 (3) and M = 1 if A* > 0 M = 0 otherwise (4) A* = Z2β2 + Gθ + v2. (5) given This model can be estimated by a two-stage estimation procedure or a maximumlikelihood method.7 Note that v1 and v2 do not need to be independent, nor does Z2 have to include a variable that is not in Z1.8 After getting consistent estimates of β2 and θ by using the probit maximum-likelihood method for equation (5), the parameters β1, β2γ, and δ can 7 See Limited-Dependent and Qualitative Variables in Econometrics by G.S. Maddala for a detailed description of these two estimation procedures. 15 be estimated and the resulting estimates can be shown to be consistent under some general conditions.9 The estimates are not efficient, however. The standard errors need to be corrected for the two-stage estimation procedure and we will make the necessary corrections in the next draft of this paper. Since the primary focus of the paper is whether or not the autonomy reform has had any affect on student achievement, whether or not δ is significant is its principal empirical question. So far, we have been defining the education reform variable M as a dummy variable representing de jure autonomy, that is, whether a public school has officially signed a contract with the Ministry of Education transforming its school council into a Consejo Directivo. This dummy variable, M1, is equal to one if the school is autonomous, and zero otherwise. We also examine a second measure, M2, which measures de facto autonomy. This is a discrete variable indicating the percentage of key decisions made by the school council rather than by the central government or the local government. This variable is derived from a special questionnaire given to school principals and a random sample of council members and teachers in each sample school on the locus of decision-making for 25 school decision areas (Appendix A).10 De facto autonomy is an important alternative measure for the reform for two reasons: although there are, in principle, clear differences in the management of the various 8 9 Equation (3) can still be distinguished from linear combinations of (3) and (5), because (5) contains A* and (3) contains M. Since Z2 is a subset of Z1, some of the coefficients will reflect both the direct effects of factors on student performance and their indirect effect through their influence on the probablity that a school will have participated in the autonomy reform. That is, the regression function is Q = Z*1β1 + Mδ + Z*2(β1+β2γ) + v1, where Z1 = Z*1+ Z*2. 10 These decision areas are similar to the list used in OECD (19xx). 16 types of schools in the past and the current regimes, as shown in Table 1, there is, in fact, a distribution by type of school with respect to how many and which decisions are being taken in the school than at some other organizational level. Table 3 shows the expected pattern that private schools take more decisions than do autonomous public schools, and autonomous schools take more decisions than do traditional public schools; however, there is some variation around this pattern. Since, in practice, not all traditional public schools are the same with respect to decision-making, the distance that a school has to go in order to achieve autonomy will differ from school to school. The dummy variable on de jure autonomy cannot reflect this diversity. One reason for the diversity is the failure of the central government to enforce legal arrangements such that traditional public schools are taking more decisions than they ought to. This corroborates the view that there is room for a great deal of autonomy even within a centralized system. [Table 3 about here] The second reason for why the de facto autonomy measure might make more sense is that inscription into the reform does not necessarily mean immediate implementation. In fact, because the reform involves organizational and administrative changes, we expect some participating schools to take more time than others in achieving autonomy. The model is estimated using each measure separately, as well as in interaction with one another. Just as we explicitly address the issue that M1 may be endogenous, we do likewise for M2. Note that we find that M1 and M2 are not only not perfectly correlated but their correlation coefficient is low -- 0.35 at the primary level and 0.3 at the secondary level (with statistical significance of 1 percent). This finding itself justifies the examination of the effect of the two school autonomy measures. 17 Two final comments are in order before turning to the results. First, the measure of education output that is used here is test scores on two student achievement exams at a particular grade or level, one on mathematics and another on Spanish. There are other measures of student performance such as completion of the education cycle, performance on a school-leaving test, or even wages in employment after leaving school. These are outcomes that may eventually be observed. Secondly, as mentioned earlier, achievement test scores are so far available only at one point in time. The results from a second round of tests are not yet available. A benefit from a second round of tests is to estimate a valueadded education production function (Ehrenberg and Brewer, 1994; Goldhaber and Brewer 1997; Hanushek 1986, 1995). This empirical approach would help in controlling for differences in achievement test scores between autonomous schools and their comparators that are not due to the reform. 5. Results We begin the discussion of our results with the simplest specification of the education production function and then proceed to compare this with other models. We present results for primary education alongside those for secondary education for comparison. We remind the reader that the reform has been applied more recently to primary schools than to secondary schools, such that differences in results may be due more to the timing of participation in the reform than to differences in its true impact. Basic student achievement functions 18 The simplest specifications, presented in Tables 4 and 5, are OLS results of a linear achievement function without considering the selection of students (that is, without accounting for their drop-out probabilities), and without addressing the endogeneity of reform participation. Columns (1) and (2) of Tables 4 and 5 present the models with only student and family characteristics. The coefficients of students’ age and sex are significant, with older and female students achieving less than younger and male students; the male advantage, however, appears only in math test scores, not in language test scores. For primary schoolers, household wealth has a positive and significant effect on student performance, but only on math tests; these variables do not appear to affect the performance of secondary schoolers. Mother’s education has a positive effect, but this is significant at the 10 percent level only for primary students in the math test. The sign on father’s education is negative on math scores, and positive on language scores; both sets of results are not significant. A variable that turns out to have a large positive and significant effect is the student’s access to textbooks, with the only exception to this being the result for language test scores at the primary level. The regional variables also have significant coefficients but the patterns obtained from the primary and secondary level estimates are not consistent across the regressions. [Tables 4 and 5 about here] Following the literature, we reestimate the above regressions (minus the regional variables) with school fixed-effects. These specifications substantially raise the power of the models to explain student achievement (columns (3) and (4) of Tables 4 and 5). Note too that the results on some of the student and family level variables have changed. The most notable change pertains to the access to textbook variable. When school variables are 19 included, individual access to textbooks does not appear to be important at the secondary level and appears to have a significant negative effect at the primary level. The latter result is a puzzle to us thus far, and may simply indicate non-robust results for this variable. In the following set of results, the variable loses statistical significance at the primary level. Columns (5) and (6) of Tables 4 and 5 show the results for expanded forms of the traditional function. These specifications include far more information about teacher and school principal characteristics and variables representing the school environment than is usually the case. Substituting specific school variables in lieu of the school fixed-effects decreases the predictive power of the achievement function; but although isolated statistically significant results may be reflecting random factors, these specifications suggest that specific school and teacher characteristics (holding constant the socioeconomic background of students) may indeed influence student performance. For example, teachers’ education has a positive and significant effect on math test scores. Teachers’ number of years of teaching also has a positive effect, though imprecisely estimated in about half the regressions.11 The index variable representing school facilities has a positive coefficient in all the regressions, albeit with different degrees of statistical significance, implying that improvements in school infrastructure influence student achievement. Another index variable, that which characterizes the disciplinary environment of the school, suggests that schools with more problems regarding the behavior of students and teachers have lower performing students. 11 In the regressions for secondary education, we included the field of education of teachers. Hence, for math test scores, it matter significantly whether or not teachers have a degree in mathematics. The same cannot be said for a degree in Spanish and the language test scores. 20 Determinants of the probability of grade promotion This probability is defined as being equal to one if a student has been promoted to grade four for primary students or the third year for secondary students and continues in school. Otherwise, the variable is equal to zero for students who are promoted to the next grade but decide to drop out and for students who repeat the grade but continue in school. Students who transfer schools are classified similarly, provided that information on their enrollment status is available. Of students sampled in December 1995 and could be found in 1997 for the second school-household survey, 2.4 percent of students in grade three and 4.9 percent of students in the second year of secondary school dropped out the following year. These dropout figures may be misleading, because the students who could not be found in the second phase are more likely to have dropped out. The corresponding percentages for grade repetition were 10.5 and 9.2 percent. About 10 percent of students transferred to another school at the primary level, of which 11.3 percent repeated the grade. The corresponding percentages are 10.9 and 22.3 at the secondary level. According to Belli and Ayadi (1998), the drop out rate in grade three in Nicaragua is 11 percent and the grade repetition rate is 12 percent. Hence, while our sample’s repetition rate is quite similar, our dropout rate is considerably lower, most likely because of unexplained sample attrition. The variables that have been included in the probit estimates of the probability of promotion and continuation reflect demand and supply factors as measured by family and community background and school and teacher characteristics (Table 6). These variables do not explain the probability satisfactorily, and only a few are significant. The parental variables do not appear to be significant factors, in contrast to the general findings of other studies on the determinants of schooling (for example, see Behrman and Wolfe 1987 on 21 pre-revolutionary Nicaragua). Older students are more likely to dropout or repeat a grade. At the primary level, students in schools that enforce payment of fees through penalties tend to have a higher probability of dropout or grade repetition; this variable appears to have the opposite effect at the secondary level. There is no clear pattern in the effect of teachers’ characteristics: teachers’ education has a negative effect but this is significant only at the secondary level. Teachers’ years of experience has a statistically significant positive effect at the primary level, but a small, insignificant negative effect at the secondary level. The regional variables consistently indicate that the probability of promotion and continuation in school is lower in areas outside Managua, though some results are not statistically significant. [Table 6 about here] When these probit results are used to correct for selection bias in the OLS models discussed in the previous section, the results do not change qualitatively overall but there are a few notable changes regarding the statistical significance of some key policy variables, among them being students’ access to textbooks, school facilities, and teachers’ education and experience (Table 7). However, these gains are realized mainly at the primary level. The selection bias is significant in all cases except for primary school students in the language test. This justifies the correction with a selection equation. At the secondary level, the selection bias factor is negative and statistically significant. This means that students who have dropped out or repeated would have, as expected, performed worse in the math and language tests. At the primary level, the sign of the selection factor for the math equation is positive and significant, but the very large value of rho causes us to 22 speculate that the underlying probit function may not be properly specified and deserves a further look. [Table 7 about here] Models with de jure autonomy We now turn to the education function specifications that include the school management variables. The estimated underlying relationship describing a school’s selection into the reform is given in columns 1 and 2 of Table 8. As discussed above, this relationship depends on community-level variables and school characteristics. The results show these variables to have quite different effects on participation in the reform by primary schools and secondary schools, and a clear picture of which public schools are more likely to have joined the reform is elusive. For example, primary schools that are located in richer districts (as measured by average per capita monthly household expenditure) are more likely to be participating in the reform, while urban location per se appears to have a negative (though insignificant) impact. The opposite is true for secondary schools. Participation is more likely for schools in urban areas (as was the intent of the central government); given this, schools in richer communities are not more likely to have joined. Moreover, whereas primary schools that are located in districts which have a larger proportion of its children aged 13-19 in school are more likely to be participating in the reform, secondary schools in similar areas are less likely to do so. These differences between primary and secondary schools are understandable; indeed, the government’s selection criteria played a greater role in the participation of secondary schools, whereas demand-driven participation is more 23 likely the dominant force at the primary level due to the phased implementation of the reform. [Table 8 about here] Three school-level variables that appear to have relatively consistent effects on participation for primary and secondary schools are the average number of students per section, school infrastructure, and the quality of the school environment as measured by an index of behavioral problems pertaining to students and teachers. These variables could be indicating the avenues for potential gains from the reform. Schools with larger average class size are more likely to be in the reform. At least in the case of secondary schools, enrollment size was a criterion used by the government in its selection of schools to invite into the reform. Public schools with better physical infrastructure are less likely to be participating in the reform, although this is significant (at the 10 percent level) only for primary schools. Lastly, secondary schools that have more behavioral problems tend more to be participating in the reform. This is not a significant factor for primary schools. As a second-stage in the estimation, a cumulative probability of participation is derived from the above probit estimates and is included in the student achievement functions. Note that the achievement function also includes the correction for the selection bias due to dropout and grade repetition. Table 9 presents the results for the school-level variables; school principal and family background variables have been omitted to simplify the tables since their coefficients are not altered by inclusion of the de jure autonomy variable. [Table 9 about here] 24 For primary students, de jure autonomy has a positive but insignificant effect on performance in the math or language tests. None of the results on school level variables appear to have been affected by the inclusion of this management variable. For secondary 25 In the next set of estimates, we include both autonomy measures in the student achievement function. There are no changes in the direction or the significance of the public-private and the de jure autonomy variables. The results for de facto autonomy also remain similar to the estimates in the previous model with the exception of the equation for secondary school math scores. In this specification, all the coefficients of the de facto autonomy variable are positive, although not all are statistically significant. [Table 12 about here] Next, we disaggregate the de facto autonomy variable into two types of decisionmaking areas. Instead of the percentage of all decisions made by the school, we examine only those decisions that are related to teachers and instruction -- staffing as well as pedagogical issues. The former includes such decisions as hiring and firing, evaluation, supervision, training, and relations with the teachers union. The latter pertains to decisions such as class size, curriculum, textbooks, educational plans and programs, and the school hours and calendar. We find that the variable on pedagogy gives mixed results. It is negative for the primary level and positive for the secondary level, with one subject in each level being statistically significant. More interesting, however, are the results for the variable on teacher-related issues. The effect of this variable is positive for both levels and both subjects, and is statistically significant throughout, except for math scores at the secondary level. Recalling Levin (1995), these results suggest that the schools that are more active in tracking and monitoring teacher activity and in controlling staffing issues are likely to be more successful in increasing student achievement. [Table 13 about here] 26 Next, we turn our attention to the relationship between student achievement and the degree of influence the teachers feel in decisions made. We find that in secondary schools where teachers feel more influential in school decision-making, the test scores in both math and language are significantly higher. When the explanatory variable for influence is restricted only to areas regarding pedagogical decisions, we still find a positive and significant impact on secondary school language scores. One interpretation of these findings echoes the research findings about the Chicago school reform:12 that “teachers who are more involved in school governance efforts are more likely to report changes in their classroom practices”. [Table 14 about here] Finally, we assess the relative magnitude of the autonomy effect to establish its policy implication. We compare the effect size of de facto autonomy with school inputs that are generally of policy interest, namely, the availability of textbooks, teacher’s years of education, and class size. We simulate the change in test scores as a result of an increase of one standard deviation in any of these variables, holding all the other inputs constant at their current values. At the primary level, were each school to increase its real decison-making power by one standard deviation (i.e. approximately by 20 percent more decisions) the average math score would increase by 6.7 percent (Table 15). This effect size is twice as large as that of textbooks books (3.3 percent), 1.5 times that of teacher’s education (4.5 percent), and 1.4 times that of a one-standard-deviation reduction in class size (-4.8 percent). The effect size for language scores of de facto autonomy at the primary level is much smaller 12 Consortium on Chicago School Research, 1991. 27 than for the math score (and is not statistically significant), and is smaller than those of other inputs, except textbooks. At the secondary level, the effect size of school autonomy is large for language scores (insignificant for math scores) and is larger than for textbooks and teacher’s education. [Table 15 about here] 6. Conclusions Many governments in developing countries have been quick to adopt decentralization in its various forms without a firm knowledge of how and under what conditions changes in the allocation of responsibility and power among the central authority, subnational governments, and the school can affect education outcomes. Despite its growing popularity around the world, the impact of these reforms on learning and student performance is seldom evaluated systematically. This study has aimed to fill in some of this gap with respect to one form of decentralization, school-based management, through an impact evaluation of the current school autonomy reform in Nicaragua. Although its link to student achievement would seem to be a natural focus of past studies, most of the existing literature has focused instead on the effect of the reform on education administration, not on instruction and learning (Summers and Johnson 1994). Using data on autonomous public schools and on comparable traditional public schools and private schools (obtained through a matched comparison evaluation strategy), this study finds first that autonomous public schools in Nicaragua are indeed making more decisions about pedagogical and personnel matters than traditional public schools, although less than do private schools. However, within each of these groups of schools there is diversity in the observed levels of autonomy, in which autonomy is measured by the 28 proportion of a set of twenty-five decision areas that is made by the school and not by the central or subnational government. Part of this diversity is perhaps due to the inability of the central authority to enforce legal arrangements, part due to problems of perceptions by the school community, and part due to a lag in transforming school decision-making after a school becomes legally autonomous. Because of this diversity, our education production function estimates show that de jure autonomy, as reflected by a dummy variable, does not appear to have any statistically significant impact on student achievement test scores. However, a second measure of school autonomy, the proportion of decisions made by the school or de facto autonomy, is positively and significantly associated with student performance. In particular, focusing on decisions related to teacher staffing issues and the monitoring of teacher activities illustrates the pathways through which greater school autonomy positively affects student achievement. It may be too early to judge the true impact of the Nicaragua school autonomy reform on learnng and student performance; our results suggest that there is cause for optimism. Finally, with respect to future research, the inclusion of school management variables in the standard education production function does not change the effect of the school and home inputs (and may not even add to the explanatory power of the function as the whole), but the results strongly indicate that assessing the role of school organization and management variables in predicting student performance deserves greater attention. 29 30 Hanushek, Erik A. and others. 1994. Making Schools Work: Improving Performance and Controlling Costs. Brookings Institution, Washington, D.C. Hanushek, Erik A. 1995. “Interpreting Recent Research on Schooling in Developing Countries,” World Bank Research Observer 10(2): 227-246. Hanushek, Erik A. 1995. “Education Production Functions,” in M. Carnoy (ed.). Kremer, Michael. 1995. “Research on Schooling: What We Know and What We Don’t (A Comment on Hanushek),” World Bank Research Observer 10(2): 247-254. Levin, Henry M. 1980. “Educational Production Theory and Teacher Inputs,” In Bidwell and Windham (eds.), The Analysis of Educational Productivity. Ballinger Publishing Co. Levin, Henry M. 1995. “Raising Educational Productivity,” in M. Carnoy (ed.), 1995. Levin, Henry M. and Marlaine E. Lockheed (eds.). 1993. Effective Schools in Developing Countries. Washington DC: The Falmer Press. Lockheed, Marlaine E. and Qinghua Zhao. 1993. “The Empty Opportunity: Local Control and Secondary School Achievement in the Philippines,” International Journal of Educational Development 13(1): 45-62. Maddala, G.S. 1983. Limited-Dependent and Qualitative Variables in Econometrics. Cambridge University Press. Ministry of Education. 1993. Reglamento General de Educación Primaria y Secundaria. Managua, Nicaragua. Nicaragua Reform Evaluation Team. Nicaragua’s School Autonomy Reform: A First Look. Working Paper Series on Impact Evaluation of Education Reforms, The World Bank, October 1996. Organisation for Economic Cooperation and Development. 1993. Education at a Glance. OECD Indicators. Stiglitz, Joseph E. 1988. “Principal and Agent,” John M. Olin Program for the Study of Economic Organization and Public Policy: 12. Summers, Anita A. and Amy W. Johnson. 1994. “A Review of the Evidence of the Effects of School-Based Management Plans”, Review of Educational Research. 31 Witte, John F. 1990. “Choice and Control: An Analytical Overview,” In W. H. Clune and J. F. Witte (eds.) Choice and Control in American Education. Volume 2. 32 Table 1. Previous v. Present Regime: Comparing Autonomous, Traditional and Private Schools Previous Regime Functions Present Regime All Public Schools Traditional Public Schools Autonomous Schools Private Schools Ministry Ministry Ministry Ministry Staff promotions policy Ministry Ministry Ministry Ministry Setting the curriculum Ministry Ministry Ministry Ministry Ministry Ministry Ministry Ministry Expanding classroom hours by subject Ministry School School School Programming additional curricular and extracurricular activities Ministry School School School Establishing pedagogical methods Ministry School School School Formulating the annual pedagogical plan Ministry Ministry School School Selecting textbooks Ministry Ministry School School Evaluating students Ministry Ministry School School Setting equivalencies* Ministry Ministry Hiring and firing director Ministry Ministry School School Hiring and firing teachers and administrative personnel Ministry School School School Setting student and staff obligations, rights and sanctions Ministry and School Ministry Setting and administering the school budget Ministry and School School School School Setting school fees for goods and services Ministry Ministry Ministry School Setting voluntary school fees School School School School Setting monthly fee paid by students Ministry Ministry School School Structuring the education system Certifying teachers School School School School Note: *This pertains to academic requirements that must be fulfilled in order to determine the academic level of students who transfer schools. Table 2: Sample Attrition Primary Schools Secondary Schools Completed HH Surveys, ‘95 After clean-up After merge w/ parent data (a) After merge w/ school data 1,561 1,515 1,528 1,484 1,455 1,455 1,474 1,430 Test Scores, ‘96 (b) 1,296 1,312 1,744 1,896 607 350 787 642 465 789 1,691 1,885 555 350 786 632 465 788 Student Data & Test Scores of which: Student data, no test score Test score, no student data (c) Test Score and student data After final clean-up (d) Student Data & Test Scores of which: Student data, no test score Test score, no student data Test Score and student data (a) Students with no matching parents or guardian were assigned the mean parent characteristics in their respective schools. Similarly, parents with missing student data were assgned the mean student characteristics in the school. (b) The figure includes replacement students for students who were absent from the test for a variety of reasons. See the ‘Data Sources’ under section 4 for a more detailed discussion. (c) These students were assigned mean school, student and parent characteristics in their respective schools. See the text for a more detailed discussion of alternative approaches to this problem. (d) See “Notes on Data” in Appendix C for details on data cleaning. Table 3a. Percentage of Respondents Who Claim that the School is the Decision-maker in Specific Areas, Primary Schools, 1995 Decision Areas Traditional Autonomous NER Classroom & pedagogy 27.31 31.88 43.44 Personnel 22.62 50.83 47.89 Supervision & evaluation of teachers 53.61 57.08 63.69 Setting salaries & incentives 19.89 36.84 42.91 School budget & plan 28.08 49.77 60.88 9.58 21.94 25.22 Teacher training Table 3b. Percentage of Respondents Who Claim that the School is the Decision-maker in Specific Areas, Secondary Schools, 1995 Decision Areas Traditional Autonomous Private Classroom & pedagogy 32.60 41.16 64.81 Personnel 13.77 65.20 86.63 Supervision & evaluation of teachers 58.58 68.97 89.38 Setting salaries & incentives 31.00 59.04 92.36 School budget & plan 51.73 73.87 96.08 Teacher training 10.44 23.97 49.17 Table 4: Basic Student Achievement Functions in Primary Schools Variable s_age Student and HH With School fixed- With school variables only effects added characteristics added Math Spanish Math Spanish Math Spanish -0.351** (0.159) s_male books -0.324** -0.341** (0.094) (0.168) -0.338** -0.296* -0.260** (0.104) (0.161) (0.095) 1.147** -0.184 0.624 -0.171 1.087** -0.259 (0.473) (0.278) (0.464) (0.288) (0.478) (0.283) 1.120** (0.545) 0.161 -1.788** (0.320) . d_edyrs ( .) ( .) ( .) . ( .) ( .) ( .) . d_exp ( .) ( .) ( .) ( .) ( .) ( .) ( .) ( .) ( .) ( .) ( .) ( .) ( .) ( .) ( .) ( .) ( .) .) 0.030 0.030 .) (0.102) (0.061) ( .) ( .) (0.542) . 0.405** 0.124 ( .) (0.164) (0.097) . 0.111** 0.040 ( .) (0.047) (0.028) . 3.204** 0.896 ( .) (0.988) (0.586) . 0.012 -0.188** ( .) (0.144) (0.086) . 0.383 ( .) (3.712) ( .) ( . -0.043* -0.016 ( .) (0.025) (0.015) . 0.363* 0.200 .) (0.209) (0.128) . -0.301 -0.238* (0.133) . -0.070** ( .) ( .) . . . . ( .) ( .) ( .) . . ( .) (0.017) . -1.189** -0.811** ( . ( .) . -0.719 .) (1.069) . .) (0.223) hh_input 0.434 0.270 0.113 0.088 0.345 0.100 (0.300) (0.176) (0.391) (0.243) (0.345) (0.204) .) ( .) . (0.319) problem ( . -0.018 (0.028) . . . ( . ( . . . sc_input -0.052 (0.336) . . . stu_sect .) . . t_trspan ( . . t_trmath 0.682 (0.570) . . . t_abs .) . . t_male ( . . t_exp .) . . t_edyrs -0.603 (0.412) . ( . . d_male (0.665) ( .) ( 1.511* 0.210 0.775 -0.166 1.196 0.018 (0.776) (0.456) (0.826) (0.513) (0.805) (0.475) m_edyrs 0.550* 0.238 0.212 0.120 0.507 0.198 (0.331) (0.195) (0.326) (0.202) (0.333) (0.197) f_edyrs -0.399* 0.183 -0.211 0.144 -0.436* 0.182 (0.233) (0.137) (0.233) (0.145) (0.233) (0.138) hometype mom_inhh dad_inhh int_m1 int_f1 int_h1 0.294 -0.591 0.513 -0.821 0.452 -0.664 (1.537) (0.904) (1.514) (0.939) (1.583) (0.937) -0.998 -0.155 -1.070 -0.655 -1.185 -0.218 (0.880) (0.518) (0.870) (0.540) (0.891) (0.526) -0.254 -0.286* -0.179 -0.198 -0.209 -0.262 (0.266) (0.156) (0.255) (0.158) (0.269) (0.159) 0.207 -0.023 0.227* 0.040 0.218 -0.015 (0.141) (0.083) (0.135) (0.084) (0.141) (0.084) -0.215 -0.081 -0.075 -0.009 -0.133 -0.073 (0.288) (0.169) (0.280) (0.174) (0.289) (0.171) Variable 1 reg1 reg2 Student and HH With School fixed- With school variables only effects added characteristics added Math Spanish Math Spanish Math Spanish 0.461 -0.417 (1.172) (0.689) 1.339** 0.242 (0.516) (0.304) . ( .) . 1.171 -0.460 .) (1.213) (0.717) . 1.003* 0.106 ( .) (0.572) (0.338) . 2.816** 0.213 ( .) (0.630) (0.360) . -0.499 -2.995** .) (1.039) (0.618) . 3.065 1.545 .) (1.904) (1.126) ( . ( .) ( .) 2.535** 0.153 (0.578) (0.340) reg5 -0.631 -2.731** (0.963) (0.567) reg6 5.337** 2.571** (1.801) (1.060) N 1116 1116 1116 1116 1097 1097 Adj. R^2 .049 .069 .213 .143 .075 .084 reg4 . . ( .) ( . ( .) ( ** denotes statistical significance at the 5% level. * denotes the same at the 10% level. The standard errors are reported in parantheses below the parameter estimates. 1 See Appendix B for the geographic definition of each region. Our comparison region in all the regressions is Managua (Region 3). Table 5: Basic Student Achievement Functions in Secondary Schools Student and HH variables only With School fixedeffects added Variable int_m1 int_f1 int_h1 Student and HH variables only With School fixedeffects added Math Math Spanish -0.305 -0.078 -0.489** -0.182 -0.453* -0.167 (0.251) (0.240) (0.261) (0.240) (0.255) 0.037 -0.067 0.115 -0.038 0.112 -0.039 (0.105) (0.109) (0.108) (0.118) (0.104) (0.111) -0.091 -0.056 -0.165 -0.182 -0.154 -0.076 (0.192) (0.199) (0.193) (0.210) (0.189) (0.201) . ( reg2 reg4 reg5 reg6 reg7 Spanish (0.243) private reg1 With school characteristics added Math Spanish .) . ( .) 0.915 0.219 (0.607) (0.630) -1.256** 1.604** (0.500) (0.519) 0.059 1.750** (0.505) (0.524) 1.666** 0.334 (0.814) (0.845) 0.681 3.792** (0.665) (0.691) -0.562 3.590** . ( .) ( .) ( .) ( .) . -1.657** 0.442 ( .) (0.591) (0.649) . 1.213* 0.631 ( .) (0.697) (0.777) . -1.148** 1.044* ( .) (0.542) (0.582) . 0.317 1.524** ( .) (0.586) (0.678) . 1.837** 0.928 ( .) (0.888) (0.948) . 1.951** 3.870** ( .) (0.752) (0.767) . 1.344 4.936** . . . . ( .) ( .) . . (0.905) (0.940) .) (1.031) (1.002) N 1237 1237 1237 ( .) 1237 ( 1219 1219 Adj. R^2 .039 .106 .202 .179 .096 .116 ** denotes statistical significance at the 5% level. * denotes the same at the 10% level. The standard errors are reported in parantheses below the parameter estimates. Table 6: Probability of Being Promoted and Continuing Education Variable mon_fee sc_acts allowan freebook s_age Primary Schools Secondary Schools -0.001 0.001 ( 0.003) ( 0.001) -0.072** 0.038* ( 0.033) ( 0.022) -0.008 0.000 ( 0.006) ( 0.003) -0.002 -0.017 ( 0.023) ( 0.021) -0.017** -0.092** ( 0.007) ( 0.031) s_age2 ( s_male books t_edyrs -0.029 0.008 ( 0.022) 0.071** 0.015 ( 0.031) ( 0.019) -0.002 -0.007** ( 0.008) ( 0.004) ( t_male t_abs stu_sect sc_input problem hh_input hometype m_edyrs f_edyrs mom_inhh dad_inhh int_m1 int_f1 int_h1 0.002** ( 0.001) ( 0.022) t_span t_exp . .) . -0.017 .) ( 0.026) 0.006** -0.001 ( 0.002) ( 0.001) 0.096** -0.022 ( 0.047) ( 0.025) -0.001 -0.008 ( 0.006) ( 0.005) 0.000 -0.001 ( 0.001) ( 0.001) 0.004 0.001 ( 0.010) ( 0.010) -0.014 -0.004 ( 0.009) ( 0.009) 0.023 -0.001 ( 0.016) ( 0.015) 0.039 0.029 ( 0.033) ( 0.059) -0.006 0.003 ( 0.014) ( 0.013) 0.010 0.008 ( 0.009) ( 0.008) 0.068 0.034 ( 0.064) ( 0.061) -0.032 0.018 ( 0.040) ( 0.041) -0.004 -0.006 ( 0.012) ( 0.012) 0.003 -0.004 ( 0.006) ( 0.005) -0.002 -0.001 ( 0.012) ( 0.010) Variable reg1 reg2 reg4 reg5 reg6 Primary Schools Secondary Schools -0.026 -0.029 ( 0.077) ( 0.044) -0.083** -0.055* ( 0.034) ( 0.034) -0.067** -0.011 ( 0.037) ( 0.037) -0.150** -0.063 ( 0.065) ( 0.061) -0.210** -0.101** ( 0.129) ( 0.053) . -0.081 .) ( 0.073) N 1262 1366 Pseudo R^2 .063 .044 reg7 ( ** denotes statistical significance at the 5% level. * denotes the same at the 10% level. The standard errors are reported in parantheses below the parameter estimates. Table 7: Basic Student Achievement Functions corrected for Selection Bias due to Dropout and Repetition Variable s_age Primary Math Primary Spanish Secondary Math Secondary Spanish -0.485** -0.240** -1.460** -0.938* ( 0.175) ( 0.098) ( 0.436) ( 0.499) . s_age2 ( s_male books t_edyrs t_abs t_trmath . 0.032** 0.014 .) ( 0.011) ( 0.013) 0.712 -0.251 1.021** 0.596 ( 0.283) ( 0.407) ( 0.454) 1.395** -0.143 0.905** 0.497 ( 0.645) ( 0.351) ( 0.347) ( 0.387) 0.426** 0.117 -0.012 0.025 ( 0.184) ( 0.096) ( 0.060) ( 0.066) . ( .) ( .) . 2.992** ( .) ( 0.636) ( .) . t_span t_male ( ( 0.531) t_math t_exp .) . ( . ( .) . -0.468 .) ( 0.544) 0.149** 0.032 0.025 0.071** ( 0.054) ( 0.029) ( 0.031) ( 0.030) 4.508** 0.996 -1.008** 0.192 ( 1.126) ( 0.611) ( 0.433) ( 0.496) -0.039 -0.205** 0.020 0.240** ( 0.158) ( 0.085) ( 0.066) ( 0.121) -2.480 ( 3.305) ( . 0.422 .) ( 0.503) . . -0.210 .) ( 0.615) ( .) t_trspan . -0.779 .) ( 1.058) stu_sect -0.047* -0.015 0.007 0.053** ( 0.027) ( 0.015) ( 0.012) ( 0.019) ( sc_input problem hh_input hometype m_edyrs f_edyrs mom_inhh dad_inhh ( 0.451* 0.215* 0.701** 0.447 ( 0.231) ( 0.127) ( 0.247) ( 0.274) -0.441* -0.232* -0.326** -0.108 ( 0.242) ( 0.132) ( 0.159) ( 0.180) 0.545 0.091 -0.155 -0.405 ( 0.385) ( 0.205) ( 0.274) ( 0.308) 1.894** -0.007 -0.442 0.636 ( 0.874) ( 0.475) ( 1.221) ( 1.376) 0.446 0.206 0.551** 0.004 ( 0.361) ( 0.195) ( 0.251) ( 0.276) -0.330 0.178 -0.152 0.169 ( 0.245) ( 0.137) ( 0.141) ( 0.155) 1.650 -0.713 2.742** 1.100 ( 1.728) ( 0.935) ( 1.274) ( 1.388) -1.669* -0.184 -0.365 0.218 ( 0.981) ( 0.524) ( 0.819) ( 0.909) . . -1.657** 0.312 .) ( 0.583) ( 0.655) 1262 1262 1403 1366 ρ [Prob(ρ=0)] 0.93 [.000] -0.17 [.481] . -0.559 [.003] log-likelihood -4023 -3414 -4318 -4274 Prob>Chi^2 .0001 .002 .154 .074 private ( N .) ( ** denotes statistical significance at the 5% level. * denotes the same at the 10% level. The standard errors are reported in parantheses below the parameter estimates. ρ is the correlation coeffiecient between the error terms in the Heckman model. Table 8: Probability of Being Selected into the Reform Variable pc30 schaged prienrol secenrol pried Primary Schools Secondary Schools 0.027** -0.002 ( 0.009) ( 0.002) 24.105 -16.834* ( 47.272) ( 9.524) -11.488 1.506 ( 11.296) ( 2.176) 30.389** -5.344 ( 10.064) ( 3.438) -11.524 ( 24.719) seced ( timereq urban_ls d_edyrs d_exp d_male t_edyrs t_exp t_male t_abs stu_sect sc_input problem N Pseudo R^2 . ( .) . -2.292 .) ( 4.067) -0.990** -0.067 ( 0.446) ( 0.075) -13.754 2.651 ( 10.907) ( 1.647) 0.207 0.055 ( 0.147) ( 0.079) -0.065* -0.010 ( 0.038) ( 0.023) -0.347 -0.995** ( 0.791) ( 0.450) -0.759** 0.129* ( 0.312) ( 0.068) -0.092 -0.027 ( 0.085) ( 0.033) -5.079** -0.144 ( 1.835) ( 0.469) 0.087 -0.186 ( 0.190) ( 0.152) 0.161** 0.048** ( 0.059) ( 0.019) -0.547* -0.245 ( 0.321) ( 0.298) 0.681 0.409* ( 0.725) ( 0.209) 86 93 .581 .402 ** denotes statistical significance at the 5% level. * denotes the same at the 10% level. The standard errors are reported in parantheses below the parameter estimates. Table 9: Student Achievement Functions corrected for Selection Bias and Endogeneity of the Reform Variable s_age Primary Math Primary Spanish Secondary Math Secondary Spanish -0.526** -0.236** -0.889* -0.916* ( 0.177) ( 0.098) ( 0.477) ( 0.500) . . 0.017 0.014 ( 0.013) s_age2 ( s_male books t_edyrs .) ( 0.012) 0.684 -0.230 0.994** 0.612 ( 0.534) ( 0.286) ( 0.434) ( 0.455) 1.408** -0.168 0.718* 0.474 ( 0.349) ( 0.373) ( 0.388) 0.463** 0.137 0.040 0.049 ( 0.198) ( 0.104) ( 0.066) ( 0.073) . . 3.168** . .) ( 0.682) . . -0.419 .) ( 0.547) ( ( t_abs t_trmath .) .) ( 0.012 0.071** ( 0.055) ( 0.029) ( 0.034) ( 0.030) 4.324** 0.815 -1.144** 0.174 ( 1.204) ( 0.654) ( 0.465) ( 0.498) -0.011 -0.210** 0.032 0.230* ( 0.159) ( 0.087) ( 0.071) ( 0.124) -1.985 . 0.334 .) ( 0.500) ( problem .) .) 0.042 t_trspan sc_input ( ( 0.163** ( 3.269) stu_sect ( . t_span t_male ( ( 0.645) t_math t_exp .) ( . -1.072 .) ( 1.078) ( . ( .) . -0.234 .) ( 0.623) -0.046* -0.015 0.019 0.059** ( 0.027) ( 0.015) ( 0.014) ( 0.021) 0.457** 0.217* 0.752** 0.404 ( 0.231) ( 0.128) ( 0.260) ( 0.286) -0.452* -0.230* -0.273 -0.052 ( 0.244) ( 0.134) ( 0.188) ( 0.193) . . -1.935** 0.255 .) ( 0.644) ( 0.672) 0.068 0.468 -0.629 -0.912 ( 0.775) ( 0.414) ( 1.205) ( 1.119) 1242 1242 1403 1366 ρ [Prob(ρ=0)] 0.945 [.000] -0.213 [.304] -0.753 [.000] -0.573 [.002] log-likelihood -3956 -3408 -4313 -4272 Prob>Chi^2 .0000 .0006 .0498 .0649 private ( autonomous public school N .) ( ** denotes statistical significance at the 5% level. * denotes the same at the 10% level. The standard errors are reported in parantheses below the parameter estimates. ρ is the correlation coeffiecient between the error terms in the Heckman model. Table 10: 1st Stage OLS for De Facto Autonomy Variable pc30 schaged prienrol secenrol pried Primary Schools Secondary Schools 0.001 0.000 ( 0.000) ( 0.000) 0.803 0.729 ( 1.459) ( 1.293) 0.075 0.107 ( 0.506) ( 0.315) 0.296 -0.029 ( 0.283) ( 0.483) -0.459 ( 0.619) seced ( timereq urban_ls d_edyrs d_exp d_male t_edyrs t_exp t_male t_abs stu_sect sc_input problem N Pseudo R^2 . ( .) . -0.133 .) ( 0.549) -0.020 0.023** ( 0.015) ( 0.012) -0.230 0.043 ( 0.156) ( 0.222) 0.010 0.000 ( 0.012) ( 0.011) -0.002 0.000 ( 0.003) ( 0.003) 0.013 0.016 ( 0.066) ( 0.058) 0.003 0.013 ( 0.026) ( 0.008) -0.011* -0.001 ( 0.006) ( 0.005) -0.088 -0.006 ( 0.127) ( 0.064) -0.022 0.004 ( 0.017) ( 0.019) 0.005 -0.001 ( 0.003) ( 0.002) 0.016 0.040 ( 0.023) ( 0.033) 0.020 0.036 ( 0.027) ( 0.023) 66 81 .144 .003 ** denotes statistical significance at the 5% level. * denotes the same at the 10% level. The standard errors are reported in parantheses below the parameter estimates. Table 11: Student Achievement Functions corrected for Selection Bias and Endogeneity of De Facto Autonomy Variable s_age Primary Math Primary Spanish Secondary Math Secondary Spanish -0.467** -0.225** -0.903* -1.013** ( 0.175) ( 0.098) ( 0.476) ( 0.497) . . 0.018 0.016 ( 0.013) s_age2 ( s_male books t_edyrs .) ( 0.012) 0.710 -0.251 0.990** 0.551 ( 0.529) ( 0.283) ( 0.435) ( 0.450) 1.287** -0.197 0.717* 0.618 ( 0.351) ( 0.375) ( 0.386) 0.337* 0.091 0.063 -0.063 ( 0.187) ( 0.098) ( 0.076) ( 0.075) . . 3.140** . .) ( 0.683) . . -0.556 .) ( 0.540) ( ( t_abs t_trmath .) .) ( 0.013 0.049 ( 0.063) ( 0.034) ( 0.034) ( 0.031) 4.685** 1.102* -1.203** 0.461 ( 1.131) ( 0.614) ( 0.467) ( 0.503) 0.133 -0.145 0.029 0.266** ( 0.175) ( 0.095) ( 0.070) ( 0.121) -3.086 . 0.393 .) ( 0.500) ( problem .) .) 0.058* t_trspan sc_input ( ( 0.225** ( 3.362) stu_sect ( . t_span t_male ( ( 0.647) t_math t_exp .) ( . -1.026 .) ( 1.067) ( . ( .) . -0.652 .) ( 0.631) -0.084** -0.026 0.014 0.073** ( 0.031) ( 0.017) ( 0.013) ( 0.020) 0.208 0.144 0.769** 0.069 ( 0.252) ( 0.137) ( 0.283) ( 0.305) -0.625** -0.297** -0.233 -0.502** ( 0.254) ( 0.140) ( 0.197) ( 0.236) . . -1.783** 0.037 .) ( 0.630) ( 0.666) 8.716** 3.121 -2.037 7.155** ( 3.766) ( 2.104) ( 2.638) ( 2.827) 1262 1262 1403 1366 ρ [Prob(ρ=0)] 0.932 [.000] -0.191 [.400] -0.766 [.000] -0.513 [.013] log-likelihood -4020 -3461 -4310 -4267 Prob>Chi^2 .0001 .0019 .0205 .0601 private ( de facto autonomy N .) ( ** denotes statistical significance at the 5% level. * denotes the same at the 10% level. The standard errors are reported in parantheses below the parameter estimates. ρ is the correlation coeffiecient between the error terms in the Heckman model. Table 12: Student Achievement Functions including Indicators for Reform and Management Variable s_age Primary Math Primary Spanish Secondary Math Secondary Spanish -0.492** -0.235** -0.552 -0.745 ( 0.177) ( 0.099) ( 0.484) ( 0.509) . . 0.009 0.011 ( 0.013) s_age2 ( s_male books t_edyrs .) ( 0.012) 0.688 -0.232 0.942** 0.653 ( 0.532) ( 0.286) ( 0.430) ( 0.453) 1.213* -0.167 0.692* 0.618 ( 0.351) ( 0.370) ( 0.389) 0.454** 0.145 0.036 -0.027 ( 0.199) ( 0.105) ( 0.069) ( 0.075) . ( .) ( .) t_abs t_trmath ( .) . ( . ( .) . -0.193 .) ( 0.549) 0.045 0.012 0.062** ( 0.030) ( 0.033) ( 0.030) 4.140** 0.741 -1.316** 0.353 ( 1.206) ( 0.656) ( 0.463) ( 0.498) 0.063 -0.200** 0.095 0.300** ( 0.161) ( 0.088) ( 0.073) ( 0.125) -3.532 ( problem ( 0.693) 0.188** t_trspan sc_input 3.257** .) ( 0.056) ( 3.678) stu_sect . ( . t_span t_male ( ( 0.646) t_math t_exp .) ( . 0.239 .) ( 0.524) . -1.177 .) ( 1.091) ( . ( .) . -0.224 .) ( 0.623) -0.049* -0.014 0.024* 0.059** ( 0.028) ( 0.015) ( 0.014) ( 0.021) 0.418* 0.234* 0.556** 0.331 ( 0.234) ( 0.130) ( 0.264) ( 0.290) -0.448* -0.247* -0.298 -0.258 ( 0.246) ( 0.135) ( 0.194) ( 0.201) . . -1.692** -0.018 .) ( 0.629) ( 0.673) -0.063 0.399 -0.362 -0.242 ( 0.775) ( 0.419) ( 1.216) ( 1.129) 3.488** 0.275 0.433 3.419** ( 1.254) ( 0.783) ( 0.944) ( 0.978) 1242 1242 1403 1366 ρ [Prob(ρ=0)] 0.946 [.000] -0.216 [.297] -0.733 [.000] -0.574 [.001] log-likelihood -3952 -3407 -4307 -4266 Prob>Chi^2 .0000 .007 .0499 .00546 private ( autonomous public school de facto autonomy N .) ( ** denotes statistical significance at the 5% level. * denotes the same at the 10% level. The standard errors are reported in parantheses below the parameter estimates. ρ is the correlation coeffiecient between the error terms in the Heckman model. Table 13: Student Achievement Functions including Indicators for Reform and Decision-Making on teacherrelated Issues Variable s_age Primary Math Primary Spanish Secondary Math Secondary Spanish -0.520** -0.229** -0.538 -0.770 ( 0.177) ( 0.098) ( 0.483) ( 0.510) . . 0.009 0.011 .) ( 0.012) ( 0.013) s_age2 ( s_male books t_edyrs 0.832 -0.170 0.957** 0.675 ( 0.286) ( 0.430) ( 0.453) 1.172* -0.239 0.694* 0.560 ( 0.647) ( 0.350) ( 0.369) ( 0.387) 0.460** 0.137 0.025 -0.023 ( 0.200) ( 0.104) ( 0.068) ( 0.076) . ( .) ( .) t_abs t_trmath . ( . -0.411 .) ( 0.544) 0.011 0.066** ( 0.033) ( 0.030) 4.094** 0.712 -1.301** 0.285 ( 1.208) ( 0.654) ( 0.463) ( 0.496) 0.104 -0.162* 0.099 0.298** ( 0.162) ( 0.089) ( 0.073) ( 0.126) -5.009 ( . 0.215 .) ( 0.507) . -1.295 .) ( 1.083) ( . ( .) . -0.294 .) ( 0.624) -0.042 -0.012 0.025* 0.062** ( 0.028) ( 0.015) ( 0.014) ( 0.021) 0.344 0.187 0.570** 0.404 ( 0.236) ( 0.131) ( 0.263) ( 0.290) -0.418* -0.228* -0.319* -0.226 ( 0.246) ( 0.135) ( 0.191) ( 0.199) . . -1.718** 0.083 .) ( 0.626) ( 0.670) 0.126 0.431 -0.298 -0.236 ( 0.774) ( 0.416) ( 1.206) ( 1.132) 3.721** 1.359** 0.675 2.301** ( 0.981) ( 0.617) ( 0.667) ( 0.716) ( de facto .) .) 0.041 private autonomous public schools ( . ( ( 0.029) ( problem ( 0.689) 0.157** t_trspan sc_input 3.326** .) ( 0.055) ( 3.568) stu_sect . ( . t_span t_male ( ( 0.536) t_math t_exp .) .) ( 2 autonomy 1242 1242 1403 1366 ρ [Prob(ρ=0)] 0.957 [.000] -0.225 [.262] -0.732 [.000] -0.561 [.003] log-likelihood -3949 -3405 -4306 -4267 Prob>Chi^2 .0000 .0007 .0497 .00578 N ** denotes statistical significance at the 5% level. * denotes the same at the 10% level. The standard errors are reported in parantheses below the parameter estimates. ρ is the correlation coeffiecient between the error terms in the Heckman model. 2 de facto autonomy here refers to decision-making on teacher-related issues only. See text for a detailed description of those decisions. Table 14: Student Achievement Functions including indicators for Reform, Decision-Making on teacher-related Issues, and Teachers’ Influence on Pedagogical Decisions Variable s_age Primary Math Primary Spanish Secondary Math Secondary Spanish -0.327 -0.227** -0.769 -0.522 ( 0.940) ( 0.098) ( 0.499) ( 0.522) . . 0.015 0.005 .) ( 0.013) ( 0.013) s_age2 ( s_male books t_edyrs 1.257 -0.185 1.086** 0.583 ( 0.286) ( 0.449) ( 0.471) 0.339 -0.218 0.814** 0.501 ( 2.292) ( 0.350) ( 0.399) ( 0.412) 0.414** 0.134 0.087 -0.013 ( 0.154) ( 0.107) ( 0.074) ( 0.078) . ( .) ( .) t_abs t_trmath ( .) . ( . ( .) . -0.412 .) ( 0.598) 0.048 0.042 0.082** ( 0.030) ( 0.039) ( 0.033) 2.751 0.607 -0.732 0.851 ( 4.253) ( 0.671) ( 0.537) ( 0.567) 0.249 -0.137 0.152 0.223 ( 0.152) ( 0.090) ( 0.154) ( 0.206) -4.061 ( problem ( 0.775) 0.145 t_trspan sc_input 2.499** .) ( 0.147) ( 4.787) stu_sect . ( . t_span t_male ( ( 1.333) t_math t_exp .) ( . 0.067 .) ( 0.551) . -1.460 .) ( 1.089) ( . ( .) . -0.259 .) ( 0.638) -0.046 -0.015 0.018 0.068** ( 0.035) ( 0.015) ( 0.015) ( 0.025) 0.302 0.198 0.806** 0.508 ( 0.222) ( 0.131) ( 0.287) ( 0.326) -0.091 -0.199 -0.174 -0.239 ( 0.478) ( 0.136) ( 0.206) ( 0.221) . private ( .) ( . -2.451** -0.299 .) ( 0.689) ( 0.749) -0.169 0.389 -0.289 0.229 ( 1.430) ( 0.427) ( 1.291) ( 1.188) 3.343** 1.491** 1.103 2.717** ( 1.460) ( 0.625) ( 0.698) ( 0.736) -0.594 ( 0.389) 1242 -0.295 ( 0.221) 1242 -0.120 ( 0.399) 1267 0.865** ( 0.423) 1229 ρ [Prob(ρ=0)] -0.006 [.999] -0.228 [.249] -0.714 [.000] -0.640 [.000] log-likelihood -3952 -3404 -3856 -3783 Prob>Chi^2 .0009 .0008 .0469 .00137 autonomous public schools 3 de facto autonomy teachers’ influence on pedagogical decisions N ** denotes statistical significance at the 5% level. * denotes the same at the 10% level. The standard errors are reported in parantheses below the parameter estimates. ρ is the correlation coeffiecient between the error terms in the Heckman model. 3 de facto autonomy here refers to decision-making on teacher-related issues only. See text for a detailed description of those decisions. Table 15: Effect Size of Various Variables on Test Scores4 Variable Textbooks Teacher’s yrs of ed. Class size De facto autonomy 4 Primary Math Primary Spanish Secondary Secondary Math Spanish 3.31 -0.55 1.75 1.34 4.52 1.73 0.61 -0.40 -4.79 -1.59 2.71 5.81 6.73 0.64 0.60 4.05 Effect size should be interpreted as follows: Adding one standard deviation to the variable in question, holding all other variables constant at their current values (not means), increases the relevant test scores by x%. e.g. A one standard deviation increase in each teacher’s years of education (i.e an increase of 1.38 years) at the primary level, would increase the average primary school math score by 4.52%. On the other hand increasing class size by approximately 14 students would decrease the average score by 4.79%. Appendix A: Key Areas of Decision-making • • • Salaries and Incentives Setting salaries Establishing incentives for teachers and administrative staff Personnel Hiring and firing teachers Hiring and firing the director Hiring and firing administrative personnel Classroom and Pedagogy Determining class size Designing the curriculum Selecting textbooks Defining educational plans and programs Pedagogical supervision Determining schools hours Setting the school calendar Training Teachers • Maintenance and Infrastructure Maintaining the schools Developing infrastructure projects • Administration Planning and preparing school budget Setting goals for the school Planning and preparing school budget Providing textbooks Distributing textbooks Informing the community about school activities Accrediting new schools Relations with teachers’ union • Teacher Supervision and Evaluation Evaluating teachers Supervising teachers Appendix B: Regions The 7 regions defined consist of the following departments in Nicaragua: Region 1: Esteli, Madriz, Nueva Segovia Region 2: Chinandega, León Region 3: Managua Region 4: Carazo, Granada, Masaya, Rivas Region 5: Boaco, Chontales Region 6: Matagalpa, Jinotega Region 7: RAAN, RAAS, Rio San Juan. Appendix C: Notes on Data Work on the Nicaragua School-Household and Testing Instruments Primary Schools: 1. 13 schools were eliminated from the 1997 follow-up survey, because they did not have fourth grade, but the evaluation team in Nicaragua managed to follow some students from these schools to administer tests. The students that were followed belonged to 5 of these schools mentioned above. The other 8 schools have been dropped from our sample 2. There were 5 schools where tests were not administered for various reasons (flooding, etc.). No systematic patterns in this attrition is detected. 3. In one school, we had problems with the quality of data and consequently dropped it from our sample. Secondary Schools: 1. Two schools had no tests administered in the center for various reasons. Variable Name allowance books d_edyrs d_exp d_male dad_inhh f_edyrs freebook hh_input hometype int_f1 int_h1 int_m1 m_edyrs mom_inhh mon_fee pc30 pried prienrol private problem s_age s_male sc_acts sc_input schaged seced secenrol stu_sect t_abs t_edyrs t_exp t_male t_math t_span t_trmath t_trspan timereq Appendix D: Descriptive Statistics of the Variables Used in Data Analysis Description Primary School Secondary School Mean Standard # of Mean Standard Deviation Obs. Deviation Daily allowance for 1.28 1.35 1691 3.72 3.83 school =1 if student has some or .82 .39 1691 .52 .50 all books Director’s # of yrs of 10.59 4.79 1691 14.51 5.83 educ. Director’s yrs of exp in 13.83 9.73 1691 18.80 12.37 teaching field =1 if director is male .24 .43 1691 .34 .47 Father lives in HH .65 .41 1691 .60 .41 Father’s # of yrs of educ. 4.73 3.55 1691 6.31 3.75 =1 if school gives or .44 .46 1691 .42 .45 lends books for free 1.83 .78 1670 2.57 .76 Index of hh assets (e.g. water, sewer, phone, electricity; max=5) =1 if student lives in a .87 .29 1691 .97 .14 house or apt. f_edyrs * dad_inhh 3.00 3.51 1670 3.65 3.74 .30 1.14 1648 .74 2.03 Guardian’s # of year of ed. if no parent lives in HH m_edyrs * mom_in 4.14 3.77 1670 5.25 4.06 Mother’s # of yrs of educ. 4.72 3.65 1691 6.31 3.83 Mother lives in HH .87 .29 1691 .84 .31 Monthly fee paid by stu 3.71 3.73 1691 20.53 24.89 373.10 187.88 1670 513.01 201.83 Per capita total 30-day expenditure (municipality level) .69 .14 1670 .75 .14 % of persons aged 20+ completed pri (municipality level) % of chil aged 6-12 in .77 .16 1670 .77 .14 school (municipality level) =1 if school is private N.A. N.A. N.A. .14 .35 Index of various problems N.A. N.A. N.A. 1.27 1.34 at school ; max=8 Student’s age 10.44 1.51 1691 16.02 2.99 =1 if stu is male .45 .45 1691 .42 .43 .13 .29 1691 .49 .44 =1 if sch takes negative action when student can’t pay the fee 2.71 1.55 1691 3.94 1.67 Index of sch inputs (e.g. library, water, etc.; max=5) % of persons aged 6-19 .35 .04 1670 .35 .03 (municipality level) .22 .16 1670 .35 .14 % of persons aged 20+ completed sec (municipality level) % of chil aged 13-19 in .62 .22 1670 .60 .16 school (municipality level) Mean section size 29.31 13.73 1667 43.26 22.54 # of days teacher was .89 1.53 1691 1.13 2.86 absent last month Teacher’s # of yrs of 11.00 1.38 1691 14.81 3.38 educ. Teacher’s yrs of exp in 9.41 5.02 1687 11.75 6.98 teaching field =1 if teacher is male .09 .24 1691 .48 .44 Teacher’s degree in math 0 0 1691 .11 .31 Teacher’s degree in .01 .09 1691 .10 .20 span. Teacher received training .01 .06 1691 .19 .39 in math Teacher received .03 .12 1691 .05 .15 training in spanish Ave. min. of travel to sch. 16.42 3.28 1670 17.63 3.28 # of Obs. 1885 1885 1885 1885 1885 1885 1885 1885 1823 1885 1823 1801 1823 1885 1885 1885 1885 1885 1885 1823 1885 1885 1885 1885 1885 1885 1885 1885 1856 1885 1885 1885 1885 1885 1885 1885 1885 1885 urban_ls Math test scores Span test scores De jure autonomy De facto autonomy Rural or urban (‘93 LSMS) =1 if legally autonomous % decisions made by sch .42 .41 1670 .67 .34 1885 15.89 11.46 0.75 0.50 6.69 3.98 0.34 0.20 1136 1136 86 67 18.76 22.34 0.70 0.61 5.80 6.25 0.26 0.21 1253 1253 93 83
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