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A Bootstrap Method To Test If Study Dropouts Are Missing Randomly

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Abstract

Withdrawing from a longitudinal investigation is a common problem in epidemiological research. This paper describes a nonparametric method, based on a bootstrap approach, for assessing whether dropouts are missed at random. The basic idea is to compare scores of dropouts and non-dropouts at different assessments using a weighted nonparametric test statistic.

A Monte Carlo investigation evaluates the comparative power of the test to violations from populations normality, using three commonly occurring distributions. The test proposed here is more powerful than the parametric counterpart under distributions with extreme skews.

The method is applied to a longitudinal community-based study investigating mental disorders. It is found that dropouts did not differ from the other subjects with respect to two psychological variables, although chi-square tests gave some other impressions.

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References

  • Berk, R. A. (1983). An introduction to sample selection bias in sociological data. American Sociological Review 48: 386-398.

    Google Scholar 

  • Bridge, P. D. & Sawilowsky, S. S. (1999). Increasing Physicians' awareness of the impact of statistics on research outcomes: comparative power of the t-test and Wilcoxon rank sum test in small samples applied research. Journal of Clinical Epidemiology 52: 229-235.

    Google Scholar 

  • Curran, D., Bacchi, M., Hsu Schmitz, S. F. H., Molenberghs, G. & Sylvester, R. J. (1998). Identifying the types of missingness in quality of life data from clinical trials. Statistics in Medicine 17: 739-756.

    Google Scholar 

  • Derogatis, L. R. (1977). SCL-90-R, administration, scoring, and procedures manual for the R(evised) version. Johns Hopkins University, School of Medicine.

  • Diggle, P. J. (1989). Testing for random dropouts in reapeated measurements data. Biometrics 45: 1255-1258.

    Google Scholar 

  • Efron, B. & Tibshirani, R. J. (1993). An Introduction to the Bootstrap. New York: Chapman and Hall.

    Google Scholar 

  • Fisher, R. A. (1932). Statistical Methods for Research Workers. Edinburgh: Oliver and Boyd.

    Google Scholar 

  • Franke, G. H. (1995). SCL-90-R: Die Symptom-Check-Liste von Derogatis-Deutsche Version. Göttingen: Beltz Test Gesellschaft.

    Google Scholar 

  • Franz, M., Lieberz, K., Schmitz, N. & Schepank, H. (1999). A decade of spontaneous long-term course of psychogenic impairment in a community populations sample. Social Psychiatry and Psychiatric Epidemiology 34: 651-656.

    Google Scholar 

  • Goldberg, D. P., Cooper, B., Eastwod, M. R., Kedward, H. B. & Shepherd, M. (1970). A standardized psychiatric interview for use in community surveys. British Journal of Preventive & Social Medicine 24: 18-23.

    Google Scholar 

  • Hodges, J. & Lehmann, E. L. (1956). The efficiency of some nonparametric competitors of the t test. Annals of Mathematical Statistics 27: 324-335.

    Google Scholar 

  • Johnson, N. J. (1978). Modified t tests and confidence intervals for asymmetrical populations. Journal of the American Statistical Association 73: 536-544.

    Google Scholar 

  • Kenward, M. G. (1998). Selection models for repeated measurements with nonrandom dropout: an illustration of sensitivity. Statistics in Medicine 17: 2723-2732.

    Google Scholar 

  • Listing, J. & Schlittgen, R. (1998). Tests if dropouts are missed at random. Biometrical Journal 40: 929-935.

    Google Scholar 

  • Little, J. A. & Rubin, D. B. (1987). Statistical Analysis With Missing Data. New York: Wiley.

    Google Scholar 

  • Little, R. J. A. (1995). Modeling the drop-out mechanism in repeated-measures studies. Journal of the American Statistical Association 90: 1112-1121.

    Google Scholar 

  • Molenberghs, G., Goetghebeur, E. J. T., Lipsitz, S. R. & Kenward, M. G. (1999). Nonrandom missingness in categorical data: Strengths and limitations. The American Statisticia 53: 110-118.

    Google Scholar 

  • Mooney, C. (1995). Bootstrap**: a non-parametric approach to statistical inference. Hillsdale, NJ: Sage.

    Google Scholar 

  • Randles, R. H. & Wolfe, D. A. (1979). Introduction to the theory of nonparametric statistics. New York: Wiley.

    Google Scholar 

  • Robins, J. M. (1997) Non-response models for the analysis of non-monotone non-ignorable missing data. Statistics in Medicine 16: 21-38.

    Google Scholar 

  • SAS Institute Inc. (1994). SAS/STAT User's Guide, Version 6. Cary, NC: SAS Institute Inc.

    Google Scholar 

  • Schepank, H. (1987). Epidemiology of Psychogenic Disorders. The Mannheim Study-Results of a Field Survey in the Federal Republic of Germany. Berlin Heidelberg New York: Springer-Verlag.

    Google Scholar 

  • Schmitz, N., Kruse, J., Heckrath, C., Alberti, L. & Tress, W. (1999). Diagnosing mental disorders in primary care: the General Health Questionnaire (GHQ) and the Symptom Check List (SCL-90-R) as screening instruments. Social Psychiatry and Psychiatric Epidemiology 34: 360-366.

    Google Scholar 

  • Tippett, L. H. C. (1931). The Methods of Statistics. London: Williams and Norgate.

    Google Scholar 

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Schmitz, N., Franz, M. A Bootstrap Method To Test If Study Dropouts Are Missing Randomly. Quality & Quantity 36, 1–16 (2002). https://doi.org/10.1023/A:1014357821705

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