TY - JOUR TT - Inference in “One-Way” Random Designs - Discussing Sub-D and ANOVA based Estimators AU - Silva, Adilson PY - 2020 DA - December JF - Journal of Statistics and Applied Sciences JO - JSAS PB - Abdulkadir KESKİN WT - DergiPark SN - 2718-0999 SP - 107 EP - 118 VL - 1 IS - 2 LA - en KW - Sub-D KW - ANOVA KW - Variance Components KW - One-way Designs N2 - 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. CR - João Tiago Mexia, Prof. Cat. of New University of Lisbon UR - https://dergipark.org.tr/tr/pub/jsas/article/842456 L1 - https://dergipark.org.tr/tr/download/article-file/1454055 ER -