Two-Way Cross Classification with Multiple Covariates and One Observation Per Cell | ||||
| The Egyptian Statistical Journal | ||||
| Article 7, Volume 33, Issue 2, December 1989, Page 261-279 | ||||
| Document Type: Original Article | ||||
| DOI: 10.21608/esju.1989.316546 | ||||
 View on SCiNiTO | ||||
| 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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