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Our research is motivated by a dose-finding trial study in standard chemotherapy in melanoma involving 62 patients, whose tumor size as biomarker expression and toxicity grade were measured at two cycles of treatments. The effects of different dose levels of a treatment on tumor development are the purpose of these studies. In this study, we model the clustered tumor data with dropouts by pattern mixture Tweedie mixed models where unobserved latent risks are characterized by random effects. An optimal estimation of our model has been done using the orthodox best linear unbiased predictors (BLUP) of random effects. The predicted latent risks help us classify patients into high- and low-risk groups by using cluster analysis approach. We illustrated the method with analysis of the clustered tumor development data.
Bulletin of the Malaysian Mathematical Sciences Society – Springer Journals
Published: Jan 4, 2022
Keywords: Best linear unbiased predictor; Clustered data; Missing data; Random effects models; Tweedie family; 62F10; 62J12
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