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Empirical likelihood approach for treatment effect in pretest-posttest trial

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Abstract

The empirical likelihood approach is suggested to the pretest-posttest trial based on the constrains, which we construct to summarize all the given information. The author obtains a log-empirical likelihood ratio test statistic that has a standard chi-squared limiting distribution. Thus, in making inferences, there is no need to estimate variance explicitly, and inferential procedures are easier to implement. Simulation results show that the approach of this paper is more efficient compared with ANCOVA II due to the sufficient and appropriate use of information.

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References

  1. Chen, S. X., Empirical likelihood confidence intervals for linear regression coefficients, J. Multivariate Anal., 49, 1994, 24–40.

    Article  MathSciNet  MATH  Google Scholar 

  2. Chen, S. X. and Hall, P., Smoothed empirical likelihood confidence intervals for quantiles, Ann. Staatist., 21, 1993, 621–637.

    MathSciNet  Google Scholar 

  3. Loen, S., Tsiatis, A. A. and Davidian, M., Semiparametric estimation of treatment effect in a pretest-protese study, Biometrics, 59, 2003, 1046–1055.

    Article  MathSciNet  Google Scholar 

  4. Owen, A. B., Empirical likelihood ratio confidence intervals for single functional, Biometrika, 75, 1988, 237–249.

    Article  MathSciNet  MATH  Google Scholar 

  5. Owen, A. B., Empirical likelihood ratio confidence region, Ann. Statist., 18, 1990, 90–120.

    Article  MathSciNet  MATH  Google Scholar 

  6. Owen, A. B., Empirical likelihood for linear model, Ann. Statist., 19, 1991, 1725–1747.

    Article  MathSciNet  MATH  Google Scholar 

  7. Qin, J. and Lawless, J. F., Empirical likelihood and general estimating equations, Ann. Statist., 22, 1994, 300–325.

    Article  MathSciNet  MATH  Google Scholar 

  8. Thomas, D. R. and Grunkemeier, G. L., Confidence interval estimation of survival probabilities for censored data, J. Amer. Statist. Assoc., 70, 1975, 865–871.

    Article  MathSciNet  MATH  Google Scholar 

  9. Yang, L. and Tsiatis, A. A., Efficiency study of estimators for a treatment effect in a pretest-posttest trial, Amer. Statist., 4, 2001, 314–321.

    Article  MathSciNet  Google Scholar 

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Correspondence to Qixiang He.

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Project supported by the National Natural Science Foundation of China (No. 10971033).

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He, Q. Empirical likelihood approach for treatment effect in pretest-posttest trial. Chin. Ann. Math. Ser. B 33, 941–948 (2012). https://doi.org/10.1007/s11401-012-0740-1

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  • DOI: https://doi.org/10.1007/s11401-012-0740-1

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