TESTS OF LINEARITY, MULTIVARIATE NORMALITY AND THE ADEQUACY OF LINEAR SCORES

被引：40

作者：

COX, DR ^{[1
]}

WERMUTH, N ^{[1
]}

机构：

[1] UNIV MAINZ,W-6500 MAINZ,GERMANY

来源：

APPLIED STATISTICS-JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES C | 1994年 / 43卷 / 02期

关键词：

CONSTANCY OF VARIANCE; LINEARITY OF ASSOCIATION; MULTIVARIATE NORMALITY; NORMAL PLOTS; ORDINAL SCALES;

D O I：

10.2307/2986025

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：

After some discussion of the purposes of testing multivariate normality, the paper concentrates on two different approaches to testing linearity: on repeated regression tests of non-linearity and on exploiting properties of a dichotomized normal distribution. Regression tests of linearity are used to examine the adequacy of linear scoring systems for explanatory variables, initially recorded on an ordinal scale. Examples from recent psychological and medical research are given in which the methods have led to some insight into subject-matter.

引用

页码：347 / 355

页数：9

共 13 条

[1] TESTING MULTIVARIATE NORMALITY [J].

COX, DR ;

SMALL, NJH .

BIOMETRIKA, 1978, 65 (02) :263-272

[2]

COX DR, 1992, BIOMETRIKA, V79, P441, DOI 10.1093/biomet/79.3.441

[3]

COX DR, 1974, THEORETICAL STATISTI, P470

[4]

COX DR, 1993, IN PRESS 7TH P INT C

[5]

Ezekiel M, 1926, J AM STAT ASSOC, V21, P310

[6] A connection between correlation and contingency [J].

Hirschfeld, H .

PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1935, 31 :520-524

[7]

KOHLMANN CW, 1987, ANX RES, V1, P53

[8]

KOHLMANN CW, 1993, GESUNDHEITSPSYCHOLOG, V1, P32

[9] GRAPHICAL MODELS FOR ASSOCIATIONS BETWEEN VARIABLES, SOME OF WHICH ARE QUALITATIVE AND SOME QUANTITATIVE [J].

LAURITZEN, SL ;

WERMUTH, N .

ANNALS OF STATISTICS, 1989, 17 (01) :31-57

[10] URN MODELS OF CORRELATION AND A COMPARISON WITH THE MULTIVARIATE NORMAL INTEGRAL [J].

MCFADDEN, JA .

ANNALS OF MATHEMATICAL STATISTICS, 1955, 26 (03) :478-489

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