FINDING THE DESIGN MATRIX FOR THE MARGINAL HOMOGENEITY MODEL
成果类型:
Article
署名作者:
LIPSITZ, SR; LAIRD, NM; HARRINGTON, DP
刊物名称:
BIOMETRIKA
ISSN/ISSBN:
0006-3444
DOI:
10.1093/biomet/77.2.353
发表日期:
1990
页码:
353358
关键词:
摘要:
Suppose that a homogeneous group of n subjects is observed on T occasions. Each subject has one of K levels of response at each of the T occasions. The cross-classification of the recorded responses over time forms a KT contingency table. This paper discusses the design matrix for the marginal homogeneity model, which assumes that the first-order marginal probabilities at each time are equal. The marginal homogeneity model is a linear model for the vector of cell probabilities. We obtain the design matrix by linearly transforming the parameter space of the cell probabilities; our method will work for any T and any K.
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