One-way Random Effects ANOVA: An Extension to Samples with Random Size

被引：4

作者：

Nunes, Celia ^{[1
]}

Ferreira, Dario ^{[1
]}

Ferreira, Sandra S. ^{[1
]}

Oliveira, Manuela M. ^{[2
]}

Mexia, Joao T. ^{[3
]}

机构：

[1] Univ Beira Interior, Dept Math, Covilha, Portugal

[2] Univ Evora, Dept Math, Evora, Portugal

[3] Univ Nova Lisboa, Fac Sci & Technol, Dept Math, Lisbon, Portugal

来源：

NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2012), VOLS A AND B | 2012年 / 1479卷

关键词：

F-tests; Random effects model; Random degrees of freedom; Random sample sizes; F-TESTS;

D O I：

10.1063/1.4756492

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to extend one-way random effects ANOVA to situations in which we can not previously know the sample sizes. In this case it is more appropriate to consider the sample sizes as realizations of random variables. We will obtain the distribution of the F-tests, which has random degrees of freedom for the errors. Moreover we will show the equivalence between two expressions for the F-tests.

引用

页码：1678 / 1681

页数：4

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