Approximate tests in unbalanced two-way random models without interaction

被引：0

作者：

Guven, Bilgehan ^{[1
]}

机构：

[1] Canakkale Onsekiz Mart Univ, Dept Math, TR-17100 Canakkale, Turkey

来源：

STATISTICAL PAPERS | 2012年 / 53卷 / 03期

关键词：

Two-way random model; Asymptotic normality; Approximate F test; Robustness of approximate test; ANOVA; VARIANCE; NUMBER;

D O I：

10.1007/s00362-011-0378-1

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：

In the presence of non-normality, we consider testing for the significance of the variance components in the unbalanced two-way random model without interaction. The approximate test is based on the F-statistic for this model. The asymptotic distribution of the F-statistic is derived as the number of treatments tends to infinity while the number of observations for a treatment in any block takes value from a finite set of positive integers. Robustness of the approximate test is given.

引用

页码：753 / 766

页数：14

共 17 条

[1]

Akritas M, 2000, J AM STAT ASSOC, V95, P212

[2] Heteroscedastic one-way ANOVA and lack-of-fit tests [J].

Akritas, MG ;

Papadatos, N .

JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 2004, 99 (466) :368-382

[3]

[Anonymous], 1999, The analysis of variance

[4] The ANOVA F test can still be used in some balanced designs with unequal variances and nonnormal data [J].

Bathke, A .

JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2004, 126 (02) :413-422

[5] TYPE-I ERROR ROBUSTNESS OF ANOVA AND ANOVA ON RANKS WHEN THE NUMBER OF TREATMENTS IS LARGE [J].

BROWNIE, C ;

BOOS, DD .

BIOMETRICS, 1994, 50 (02) :542-549

[6] The limiting distribution of the F-statistic from nonnormal universes [J].

Gueven, Bilgehan .

STATISTICS, 2006, 40 (06) :545-557

[7] SIMPLE SYNTHESIS-BASED METHOD OF VARIANCE COMPONENT ESTIMATION [J].

HARTLEY, HO ;

RAO, JNK ;

LAMOTTE, LR .

BIOMETRICS, 1978, 34 (02) :233-242

[8] A new random permutation test in ANOVA models [J].

Jung, Byoung Cheol ;

Jhun, Myoungshic ;

Song, Seuck Henn .

STATISTICAL PAPERS, 2007, 48 (01) :47-62

[9]

KHURI AI, 1998, STAT TEST MIXED LINE

[10] ASYMPTOTIC PROPERTIES OF MAXIMUM LIKELIHOOD ESTIMATES IN MIXED MODEL OF ANALYSIS OF VARIANCE [J].

MILLER, JJ .

ANNALS OF STATISTICS, 1977, 5 (04) :746-762

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