A Structure Diagram Symbolization for Analysis of Variance
作者:
WarrenH. Taylor,
H.Gill Hilton,
期刊:
The American Statistician
(Taylor Available online 1981)
卷期:
Volume 35,
issue 2
页码: 85-93
ISSN:0003-1305
年代: 1981
DOI:10.1080/00031305.1981.10479313
出版商: Taylor & Francis Group
关键词: Analysis of variance;Balanced designs;Structure diagram;Experimental design symbolization;Ftests;Hasse diagram
数据来源: Taylor
摘要:
A structure diagram symbolization for balanced complete experimental designs of the type encountered in standard balanced analysis of variance (ANOVA) calculations is discussed. From the symbolization, rules of formula derivation for obtaining entries in the traditional ANOVA table are introduced. The method requires recognition of characteristic sets of factors which are combined using the concept of formal interaction. Expected mean squares,F-test ratios, and variance component estimates can be quickly derived using the symbolic method.
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