Studies in the history of probability and statistics XLVII. Pizzetti's contributions to the statistical analysis of normally distributed observations, 1891
成果类型：
Article
署名作者：
Hald, A
署名单位：
University of Copenhagen
刊物名称：
BIOMETRIKA
ISSN/ISSBN：
0006-3444
DOI：
10.1093/biomet/87.1.213
发表日期：
2000
页码：
213217
关键词：
摘要：
Pizzetti's work is considered as bridging the gap between Helmert and Fisher. By means of an orthonormal transformation Pizzetti decomposed the total sum of squares in the linear normal model into its constituent and independent parts, thus providing the theoretical basis for the analysis of variance in the fixed effects model. He calculated a table of the chi(2) distribution, which he used for finding probability limits for sla. He derived the estimates of the components of variance in the random effects model for the one-way classification.