SOME THEOREMS ON QUADRATIC FORMS APPLIED IN THE STUDY OF ANALYSIS OF VARIANCE PROBLEMS .1. EFFECT OF INEQUALITY OF VARIANCE IN THE ONE-WAY CLASSIFICATION

被引：1028
作者：
BOX, GEP
机构：
来源：
ANNALS OF MATHEMATICAL STATISTICS | 1954年 / 25卷 / 02期
关键词：
D O I：
10.1214/aoms/1177728786
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
引用
收藏
页码：290 / 302
页数：13
相关论文
共 14 条
[1]   The distribution of quadratic forms in a normal system, with applications to the analysis of covariance. [J].
Cochran, WG .
PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1934, 30 :178-191
[2]  
CRAMER H, 1937, RANDOM VARIABLES PRO, P46
[3]   THE EFFECT OF NON-NORMALITY ON THE POWER FUNCTION OF THE F-TEST IN THE ANALYSIS OF VARIANCE [J].
DAVID, FN ;
JOHNSON, NL .
BIOMETRIKA, 1951, 38 (1-2) :43-57
[4]   A METHOD OF INVESTIGATING THE EFFECT OF NONNORMALITY AND HETEROGENEITY OF VARIANCE ON TESTS OF THE GENERAL LINEAR HYPOTHESIS [J].
DAVID, FN ;
JOHNSON, NL .
ANNALS OF MATHEMATICAL STATISTICS, 1951, 22 (03) :382-392
[5]  
DAVID FN, 1951, TRABAJOS ESTADISTICA, V2, P179
[6]   TEST FOR THE SIGNIFICANCE OF THE DIFFERENCE BETWEEN MEANS IN 2 NORMAL POPULATIONS HAVING UNEQUAL VARIANCES [J].
GRONOW, DGC .
BIOMETRIKA, 1951, 38 (1-2) :252-256
[7]  
Hsu P. L., 1938, STATISTICAL RES MEMO, V2, P1
[8]  
PATNAIK PB, 1949, BIOMETRIKA, V36, P202
[9]  
Quensel CE, 1947, SKAND AKTUARIETIDSKR, V30, P44
[10]   APPLICATION OF THE METHOD OF MIXTURES TO QUADRATIC FORMS IN NORMAL VARIATES [J].
ROBBINS, H ;
PITMAN, EJG .
ANNALS OF MATHEMATICAL STATISTICS, 1949, 20 (04) :552-560
12