- İstatistik ve Uygulamalı Bilimler Dergisi
- Vol: 1 Issue: 2
- Inference in "One-Way" Random Designs - Discussing Sub-D and ANOVA based Estimators
Inference in "One-Way" Random Designs - Discussing Sub-D and ANOVA based Estimators
Authors : Adilson Silva
Pages : 107-118
View : 8 | Download : 4
Publication Date : 2020-12-31
Article Type : Research
Abstract :Recently it was shown through simulations studies that Sub-D produces estimates with unbiased and lower variance-covariance estimates than the ANOVA-based estimator, ex- cept in case of random "one-way” balanced designs. In this designs the simulations studies suggested they have the same variance-covariance estimates. This paper aims to compare the common ANOVA-based estimator to Sub-D in random "one-way” designs with two groups of treatment and in random "one-way” balanced designs. The comparison will be conducted through theoretical results and corroborated with simulation studies. It will be proved that the ANOVA-base estimator and Sub-D have exactly the same variance- covariance estimates in both above referred designs. The proof will be given firstly for random "one-way” designs with two groups of treatment and then for random "one-way” balanced designs.Keywords : Sub-D, ANOVA, Variance Components, One-way Designs