Two-Way Cross Classification with Multiple Covariates and One Observation Per Cell

Document Type : Original Article

Author

Dep.of Statistics, King Abdul Aziz University, Jeddah, Saudi

Abstract

The two-way cross classification model with multiple covariate and one observation per cell is considered. The model is given by
yᵢⱼ = μ + τᵢ + βⱼ + ∑(r=1)ᵏ δᵢᵣ Xⱼᵣ + λαᵢ Yⱼ + εᵢⱼ,
the εᵢⱼ are independent and εᵢⱼ is N(0, σ2).
Maximum likelihood estimators are developed for all parameters including σ2 when λ ≠ 0. The likelihood ratio test is obtained for the hypothesis: no interaction (λ = 0).

Keywords