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A statistical analysis of the fat mass experimental data using random coefficient model  

Jo, Jin-Nam (Department of Information & Statistics, Dongduk Women's University)
Publication Information
Journal of the Korean Data and Information Science Society / v.22, no.2, 2011 , pp. 287-296 More about this Journal
Abstract
Thirty six female students participated in the experiment of the fat mass weight loss. they kept diary for foods they ate every day, took a picture of the foods, transmitted the picture to the experimenter by the camera phone, and consulted him about fat mass loss once a week for 8 weeks period. Fat mass weight and its related factors of the students had been measured repeatedly every week during 8 weeks, The repeated measurement data were used for applying various random coefficient models. And hence optimal random coefficient model was selected. From the optimal model, the baseline, body mass index, diastolic blood pressure, total cholesterol and time of the fixed factors were very significant. The fixed quadratic time effect existed. The variance components corresponding to the subject effect, linear time effect of the random coefficients were all positive. Thus random coefficients up to the linear terms were considered as the optimal model. The treatment effect reduced the weight loss to an average of 2.1kg at the end of the period.
Keywords
Fat mass; random coefficient model; subject effect; variance-covariance matrix;
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