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Expected mean squares for model effects in the two-wayANOVA model when sampling from finite populations |
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| รหัสดีโอไอ | |
| Creator | 1. Chawanee Suphirat 2. Boonorm Chomtee 3. John J. Borkowski |
| Title | Expected mean squares for model effects in the two-wayANOVA model when sampling from finite populations |
| Publisher | Research and Development Office, Prince of Songkla University |
| Publication Year | 2564 |
| Journal Title | Songklanakarin Journal of Science and Technology (SJST) |
| Journal Vol. | 43 |
| Journal No. | 1 |
| Page no. | 57-71 |
| Keyword | expected mean square, factorial design, finite population, mixed effect model, variance components |
| URL Website | https://rdo.psu.ac.th/sjstweb/index.php |
| ISSN | 0125-3395 |
| Abstract | The expected mean squares (EMS) for the effects in a two-way ANOVA model are derived when sampling from afinite population, for factors A and B. The A-effects and B-effects are represented byi?and? j, respectively, in the model.Model effects are studied for the random and mixed effects models. Thus, in terms of hypothesis testing, we are interested in theexpected mean square formulas when the random effects are sampled from finite populations. For balanced data, the EMS for theA, B and AB interaction effects when the effects are sampled from a finite population are the same as the EMS for an infinitepopulation. For unbalanced data, the EMS when the effects are sampled from a finite population in factors A, B and the ABinteraction, the EMS are not the same as for an infinite population because the values that multiply the variance componentsdiffer. |
