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Full-Text Articles in Physical Sciences and Mathematics
Optimality And Construction Of Designs With Generalized Group Divisible Structure, Sudesh K. Srivastav
Optimality And Construction Of Designs With Generalized Group Divisible Structure, Sudesh K. Srivastav
Mathematics & Statistics Theses & Dissertations
This thesis is an investigation of the optimality and construction problems attendant to the assignment of v treatments to experimental units in b blocks of size k, paying special attention to settings for which equal replication of the treatments is not possible. The model is that of one way elimination of heterogeneity, in which the expectation of an observation on treatment i in block j is Ti + βj (treatment effect + block effect), where Ti and βj are unknown constants, 1 ≤ i ≤ v and 1 ≤ j ≤ b. All observations are assumed to …
Linear Models For Multivariate Repeated Measures Data, Shantha S. Rao
Linear Models For Multivariate Repeated Measures Data, Shantha S. Rao
Mathematics & Statistics Theses & Dissertations
In this dissertation we focus mainly on the analysis of continuous multivariate repeated measurements data based on the assumption of multivariate normality. However certain aspects of the analysis of univariate repeated measures data are also considered. Typically, we have measurements on p variables (possibly correlated) in the form of px1 vectors yijk observed at k = 1,2, ...,tij occasions on j = 1,2, ..., ni individuals from i = 1,2, ..., g groups. We assume a naturally occurring covariance structure Vij ⊗ ∑ among the p variables on the jth individual from ith group …