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

Abstract

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.