Are private schools better than public schools? Appraisal for Ireland by methods for observational studies

Annals of Applied Statistics

Volumn 5, Issue 3, 2011, Pages 1726-1751

  Pfeffermann, Danny ^a   Landsman, Victoria ^b  

^a HEBREW UNIVERSITY OF JERUSALEM   (Israel)

^b UNIVERSITY OF SOUTHAMPTON   (United Kingdom)

Author keywords

Average treatment effect; Goodness of fit; Identifiability; Instrumental variables; Private dependent schools; Propensity scores; Sample distribution

Indexed keywords

EID: 84855295807     PISSN: 19326157     EISSN: 19417330     Source Type: Journal    
DOI: 10.1214/11-AOAS456     Document Type: Article

References (35)

1. Abadie, A. and Imbens, G. W. (2006). Large sample properties of matching estimators for average treatment effects. Econometrica 74 235-267.
2. Adams, R. and Wu, M., eds. (2002). PISA 2000 Technical report, OECD, Paris.
3. Azzalini, A. and Capitanio, A. (2003). Distributions generated by perturbation of symmetry with emphasis on a multivariate skew t-distribution. J. R. Stat. Soc. Ser. B Stat. Methodol. 65 367-389.
4. Babu, G. J. and Feigelson, E. D. (2006). Astrostatistics: Goodness-of-fit and all that! In Astronomical Data Analysis Software and Systems XV, ASP Conference Series (C. Gabriel, C. Arviset, D. Ponz and E. Solano, eds.) 351 127-136. Astronomical Society of the Pacific, San Francisco.
5. Babu, G. J. and Rao, C. R. (2004). Goodness-of-fit tests when parameters are estimated. Sankhyā 66 63-74.
6. Brewer, K. R. W. (1963). Ratio estimation and finite populations: Some results deducible from the assumption of an underlying stochastic process. Austral. J. Statist. 5 93-105.
7. Dronkers, J. and Avram, S. (2010). A cross-national analysis of the relations of school choice and effectiveness differences between private-dependent and public schools. Educational Research and Evaluation 16 151-175.
8. Gelman, A., Carlin, J. B., Stern, H. S. and Rubin, D. B. (2004). Bayesian Data Analysis, 2nd ed. Chapman & Hall/CRC, Boca Raton, FL.
9. Greenlees, J. S., Reece, W. S. and Zieschang, K. D. (1982). Imputation of missing values when the probability of response depends on the variable being imputed. J. Amer. Statist. Assoc. 77 251-261.
10. Hajek, J. (1971). Comment on "An essay on the logical foundations of survey sampling, part one". In The Foundations of Survey Sampling (V. P. Godambe and D. A. Sprott, eds.) 236. Holt, Rinehart and Winston, Toronto, ON.
11. Hanushek, E. (2002). Publicly provided education. In Handbook of Public Economics (A. J. Auerbach and M. Feldstein, eds.) 2045-2141. North-Holland, Amsterdam.
12. Heckman, J. and Vytlacil, E. (2006). Econometric evaluation of social programs. In Handbook of Econometrics 6B (J. Heckman and E. Leamer, eds.) 4810-4861. North-Holland, Amsterdam.
13. Hoxby, C. M. (2000). Does competition among public schools benefit students and taxpayers? The American Economic Review 90 1209-1238.
14. Imbens, G. and Angrist, J. (1994). Identification and estimation of local average treatment effects. Econometrics 62 467-475.
15. Landsman, V. (2008). Estimation of treatment effects in observational studies by recovering the assignment probabilities and the population model. Ph.D. dissertation, Hebrew Univ. Jerusalem, Israel.
16. Lee, J. and Berger, J. O. (2001). Semiparametric Bayesian analysis of selection models. J. Amer. Statist. Assoc. 96 1397-1409.
17. Little, R. J. (2004). To model or not to model? Competing modes of inference for finite population sampling. J. Amer. Statist. Assoc. 99 546-556.
18. Lunceford, J. K. and Davidian, M. (2004). Stratification and weighting via the propensity score in estimation of causal treatment effects: A comparative study. Stat. Med. 23 2937-2960.
19. Maddala, G. S. (1983). Limited-Dependent and Qualitative Variables in Econometrics. Econometric Society Monographs in Quantitative Economics 3. Cambridge Univ. Press, Cambridge.
20. McCaffrey, D., Ridgeway, G. and Morral, A. (2004). Propensity score estimation with boosted regression for evaluating causal effects in observational studies. Psychological Methods 9 403-425.
21. Pfeffermann, D. and Landsman, V. (2011). Supplement to "Are private schools better than public schools? Appraisal for Ireland by methods for observational studies". DOI:10.1214/11-AOAS456SUPP.
22. Pfeffermann, D. and Sverchkov, M. Y. (2003). Fitting generalized linear models under informative sampling. In Analysis of Survey Data (Southampton, 1999) 175-195. Wiley, Chichester.
23. Pfeffermann, D. and Sverchkov, M. (2009). Inference under informative sampling. In Sample Surveys: Inference and Analysis. Handbook of Statistics 29B (D. Pfeffermann and C. R. Rao, eds.) 455-487. North-Holland, Amsterdam.
24. Qin, J. and Zhang, B. (2007). Empirical-likelihood-based inference in missing response problems and its application in observational studies. J. R. Stat. Soc. Ser. B Stat. Methodol. 69 101-122.
25. R Development Core Team (2004). R: A Language and Environment for Statistical Computing. R Foundation for Statistical Computing, Vienna, Austria.
26. Rosenbaum, P. R. (2002). Observational Studies, 2nd ed. Springer, New York.
27. Rosenbaum, P. R. and Rubin, D. B. (1983). The central role of the propensity score in observational studies for causal effects. Biometrika 70 41-55.
28. Rotnitzky, A. and Robins, J. (1997). Analysis of semi-parametric regression models with non-ignorable non-response. Stat. Med. 16 81-102.
29. Rubin, D. B. (1974). Estimating causal effects of treatments in randomized and nonrandomized studies. J. Educational Psychology 66 688-701.
30. Särndal, C.-E., Swensson, B. and Wretman, J. (1992). Model Assisted Survey Sampling. Springer, New York.
31. Smith, T. M. F. and Sugden, R. A. (1988). Sampling and assignment mechanisms in experiments, surveys and observational studies. Internat. Statist. Rev. 56 165-180.
32. StataCorp (2004). Stata Statistical Software: Release 7. StataCorp LP, College Station, TX.
33. Stephens, M. A. (1986). Tests based on EDF statistics. In Goodness-of-Fit Techniques (R. B. D'Agostino and M. A. Stephens, eds.) 97-193. Dekker, New York.
34. Vandenberghe, V. and Robin, S. (2004). Evaluating the effectiveness of private education across countries: A comparison of methods. Labour Economics 11 487-506.
35. Wooldridge, J. M. (2002). Econometric Analysis of Cross Section and Panel Data. MIT Press, Cambridge, MA.