文章基本信息

标题：A simplified procedure of linear regression in a preliminary analysis
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作者：Silvia Facchinetti ; Umberto Magagnoli
期刊名称：Statistica
印刷版ISSN：1973-2201
出版年度：2010
卷号：70
期号：2
页码：153-170
DOI：10.6092/issn.1973-2201/3579
语种：English
出版社：Dep. of Statistical Sciences "Paolo Fortunati", Università di Bologna
摘要：The analysis of a statistical large data-set can be led by the study of a particularly interesting variable Y – regressed – and an explicative variable X, chosen among the remained variables, conjointly observed. The study gives a simplified procedure to obtain the functional link of the variables y = y (x) by a partition of the data-set into m subsets, in which the observations are synthesized by location indices (mean or median) of X and Y. Polynomial models for y (x) of order r are considered to verify the characteristics of the given procedure, in particular we assume r = 1 and 2. The distributions of the parameter estimators are obtained by simulation, when the fitting is done for m = r + 1. Comparisons of the results, in terms of distribution and efficiency, are made with the results obtained by the ordinary least square methods. The study also gives some considerations on the consistency of the estimated parameters obtained by the given procedure.