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A test of the missing data mechanism for repeated measures data. (English) Zbl 0793.62030

The occurrence of missing data is an often unavoidable consequence of repeated measures studies. Fortunately, multivariate general linear models such as growth curve models and linear mixed models with random effects have been well developed to analyze incomplete normally- distributed repeated measures data. Most statistical methods have assumed that the missing data occur at random. This assumption may include two types of missing data mechanisms: missing completely at random (MCAR) and missing at random (MAR). We develop a test procedure for distinguishing these two types of missing data mechanisms for incomplete normally- distributed repeated measures data. We derive a test for incomplete normally-distributed repeated measures data using linear mixed models. The proposed procedure can be applied easily to any other multivariate general linear model which allows for missing data. The test is illustrated using the hip-replacement patient data.

MSC:

62H15 Hypothesis testing in multivariate analysis
62J99 Linear inference, regression
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References:

[1] Crowder M. J., Analysis of repeated measures (1990) · Zbl 0745.62064
[2] Dempster A. P., Journal of the Royal Statistical Society Ser. B 39 pp 1– (1977)
[3] DOI: 10.2307/2528901 · Zbl 1149.62317 · doi:10.2307/2528901
[4] DOI: 10.2307/2530695 · Zbl 0625.62052 · doi:10.2307/2530695
[5] DOI: 10.1016/0047-259X(73)90015-8 · Zbl 0254.62029 · doi:10.1016/0047-259X(73)90015-8
[6] DOI: 10.1002/sim.4780070131 · doi:10.1002/sim.4780070131
[7] DOI: 10.2307/2529876 · Zbl 0512.62107 · doi:10.2307/2529876
[8] DOI: 10.2307/2289129 · Zbl 0613.62063 · doi:10.2307/2289129
[9] DOI: 10.2307/2289869 · Zbl 0678.62070 · doi:10.2307/2289869
[10] DOI: 10.2307/2290157 · doi:10.2307/2290157
[11] Park T., Biometrics 83 (1982)
[12] Potthoff R. F., Biometrika 51 pp 313– (1964)
[13] DOI: 10.1093/biomet/63.3.581 · Zbl 0344.62034 · doi:10.1093/biomet/63.3.581
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