10.6092/ISSN.1973-2201/3579
FACCHINETTI, SILVIA; Dipartimento Di Scienze Statistiche-Università Cattolica Del S. Cuore-Milano
MAGAGNOLI, UMBERTO; Dipartimento Di Scienze Statistiche-Università Cattolica Del S. Cuore-Milano
A simplified procedure of linear regression in a preliminary analysis
Dep. of Statistical Sciences "Paolo Fortunati", Università di Bologna
2013
PDF Document
2013
application/pdf
Statistica; Vol 70, No 2 (2010); 153-170
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.
Statistica; Vol 70, No 2 (2010); 153-170