Studies in the History of Probability and Statistics XLVII. Pizzetti's Contributions to the Statistical Analysis of Normally Distributed Observations, 1891
You can manage bookmarks using lists, please log in to your user account for this.
Media type:
E-Article
Title:
Studies in the History of Probability and Statistics XLVII. Pizzetti's Contributions to the Statistical Analysis of Normally Distributed Observations, 1891
Contributor:
Hald, Anders
Published:
Biometrika Trust, 2000
Published in:
Biometrika, 87 (2000) 1, Seite 213-217
Description:
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 χ2distribution, which he used for finding probability limits for s/σ. He derived the estimates of the components of variance in the random effects model for the one-way classification.