Two-Way Cross Classification with Multiple Covariates and One Observation Per Cell | ||
| The Egyptian Statistical Journal | ||
| Article 7, Volume 33, Issue 2, December 1989, Pages 261-279 | ||
| Document Type: Original Article | ||
| DOI: 10.21608/esju.1989.316546 | ||
| Author | ||
| Seham I. Mira | ||
| 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 | ||
| Likelihood Ratio Test; Maximum Likelihood Estimators; Multiple Covariates; Two-Way Cross Classification Model | ||
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