ASYMPTOTIC QUADRATIC ESTIMATORS IN THE RANDOM, ONE-WAY ANOVA
The paper considers stochastic convergence of certain means used to obtain the between sum of squares in analysis of variance. These limiting random variables are used to obtain a nonnegative estimator of the between component of variance. The usual ANOVA estimator of the within component of varianc...
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| Format: | Article |
| Language: | Arabic |
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College of Computer Science and Mathematics, University of Mosul
2010-06-01
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| Series: | المجلة العراقية للعلوم الاحصائية |
| Online Access: | https://stats.mosuljournals.com/article_30524_d585e9d1d632366e50b21e3d2bebb62c.pdf |
| Summary: | The paper considers stochastic convergence of certain means used to obtain the between sum of squares in analysis of variance. These limiting random variables are used to obtain a nonnegative estimator of the between component of variance. The usual ANOVA estimator of the within component of variance is considered. A nonnegative estimator of heritability is given. Asymptotic tests are derived also. Finally, the paper extends the linear model to allow the number of observations in each cell to be random. |
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| ISSN: | 1680-855X 2664-2956 |