ROBUST 2k FACTORIAL DESIGNS: NON-NORMAL SYMMETRIC DISTRIBUTIONS

被引：0

作者：

Senoglu, Birdal ^{[1
]}

Acitas, Sukru ^{[2
]}

Kasap, Pelin ^{[3
]}

机构：

[1] Ankara Univ, Dept Stat, TR-06610 Ankara, Turkey

[2] Anadolu Univ, Dept Stat, TR-26470 Eskisehir, Turkey

[3] Ondokuz Mayis Univ, Dept Stat, TR-55139 Samsun, Turkey

来源：

PAKISTAN JOURNAL OF STATISTICS | 2012年 / 28卷 / 01期

关键词：

Modified maximum likelihood; Short-tailed symmetric family; Long-tailed symmetric family; Efficiency; Robustness; Non-normality; LINEAR-REGRESSION MODEL; PARAMETERS; SAMPLES;

D O I：

暂无

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

Senoglu (2005, 2007a) considered the estimation and hypothesis testing procedures for the 2(k) factorial designs when the error distributions are skew. They obtained the modified maximum likelihood (MML) estimators of the model parameters and proposed new test statistics based on them. They show that their solutions are more efficient and robust than the classical solutions based on the least squares (LS) estimators via Monte Carlo simulation. In this study, we extend their studies to non-normal symmetric error distributions and develop new test statistics for testing the main effects and the interactions. Moreover, a real life example is given to illustrate the theoretical results.

引用

页码：93 / 114

页数：22

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