2-WAY ANOVA MODELS WITH UNBALANCED DATA

被引:61
作者
FUJIKOSHI, Y
机构
[1] Department of Mathematics, Faculty of Science, Hiroshima University, Higashi-Hiroshima
关键词
D O I
10.1016/0012-365X(93)90410-U
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The purpose of this paper is to review two-way analysis of variance (ANOVA) problems with fixed effects and unbalanced data. We investigate the definition of main effects and interactions based on certain restrictions, the testing of ANOVA hypotheses, orthogonality in ANOVA, and the tests of product structures for interactions. The emphasis is on differences among ANOVA problems resulting from the restrictions used.
引用
收藏
页码:315 / 334
页数:20
相关论文
共 51 条
[1]   ANALYSIS OF UNBALANCED CROSS-CLASSIFICATIONS [J].
AITKIN, M .
JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES A-STATISTICS IN SOCIETY, 1978, 141 :195-223
[2]  
[Anonymous], 1981, THEORY LINEAR MODELS
[3]  
BANCROFT TA, 1968, TOPICS INTERMEDIATE
[4]   PROGRAMMING UNIVARIATE AND MULTIVARIATE ANALYSIS OF VARIANCE [J].
BOCK, RD .
TECHNOMETRICS, 1963, 5 (01) :95-&
[7]   SIMULTANEOUS STATISTICAL-INFERENCE ON INTERACTIONS IN 2-WAY ANALYSIS OF VARIANCE [J].
BRADU, D ;
GABRIEL, KR .
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1974, 69 (346) :428-436
[8]  
Corsten L., 1972, STAT NEERL, V26, P61, DOI DOI 10.1111/J.1467-9574.1972.TB00173.X
[9]   INTERACTION [J].
COX, DR ;
ATKINSON, AC ;
BOX, GEP ;
DARROCH, JN ;
SPJOTVOLL, E ;
WAHRENDORF, J .
INTERNATIONAL STATISTICAL REVIEW, 1984, 52 (01) :1-31
[10]   ON TESTING MORE THAN 1 HYPOTHESIS [J].
DARROCH, JN ;
SILVEY, SD .
ANNALS OF MATHEMATICAL STATISTICS, 1963, 34 (02) :555-&