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A maximum Likelihood Approach to Analyzing Incomplete Longitudinal Data in Mammary Tumor Development Experiments with Mice

Authors:

Jihnhee Yu ,

Department of Biostatistics, University at Buffalo, the State University of New York, NY 14214, US
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Albert Vexler,

Department of Biostatistics, University at Buffalo, the State University of New York, NY 14214, US
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Alan D Hutson

Department of Biostatistics, University at Buffalo, the State University of New York, NY 14214, US
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Abstract

Longitudinal mammary tumor development studies using mice as experimental units are affected by i) missing data towards the end of the study by natural death or euthanasia, and ii) the presence of censored data caused by the detection limits of instrumental sensitivity. To accommodate these characteristics, we investigate a test to carry out K-group comparisons based on maximum likelihood methodology. We derive a relevant likelihood ratio test based on general distributions, investigate its properties of based on theoretical propositions, and evaluate the performance of the test via a simulation study. We apply the results to data extracted from a study designed to investigate the development of breast cancer in mice.

Sri Lankan Journal of Applied Statistics, Volume 13 (2012), p. 61-85

DOI: http://dx.doi.org/10.4038/sljastats.v13i0.5124

DOI: http://doi.org/10.4038/sljastats.v13i0.5124
How to Cite: Yu, J., Vexler, A. & Hutson, A.D., (2013). A maximum Likelihood Approach to Analyzing Incomplete Longitudinal Data in Mammary Tumor Development Experiments with Mice. Sri Lankan Journal of Applied Statistics. 13, pp.61–85. DOI: http://doi.org/10.4038/sljastats.v13i0.5124
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Published on 09 Jan 2013.
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