An Analysis of a Two-Way Model with Interaction and No Replication

Dallas E. Johnson · Franklin A. Graybill

216 citations0/0 files storedJournal of the American Statistical Association

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Optimal Experimental Design Methods Statistical Methods and Applications Statistical Methods and Bayesian Inference

Abstract

In this article the two-way array interaction model with one observation per cell is discussed. The model is given by Likelihood ratio tests are presented for two hypotheses: (1) no interaction (λ = 0) and (2) equality of treatments (τ1 = τ2 = … = τt). Also maximum likelihood estimators are given for all parameters including σ2 when λ ≠ 0.

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1947Journal of Research of the National Bureau of Standards

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