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Abstract:
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We consider hierarchical functional data experiments that arise naturally in our colon carcinogenesis experiments. The data are at three levels: individual rats have multiple colonic crypts, and within each colonic crypt, multiple measurements of biomarkers are made depending on the location of cells. In such experiments, it is typical to assume that conditional on the individual, the functions at the crypt level are independent. However, the biology suggests that the functions probably are not independent conditional on the individual, and it is of considerable interest to understand whether this is true and, if so, to quantify the degree of dependence. We will exhibit a variety of statistically and computationally efficient methods to analyze data such as this.
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