Accession Number : ADA097535
Title : An Empirical Model Building Criterion Based on Prediction with Applications in Parametric Cost Estimation.
Descriptive Note : Technical rept.,
Corporate Author : CLEMSON UNIV SC DEPT OF MATHEMATICAL SCIENCES
Personal Author(s) : Korkotsides,A S ; Wallenius,K T
Report Date : Aug 1980
Pagination or Media Count : 19
Abstract : In the context of multiple linear regression, when a subset of k-out-of-p predictor variables is to be selected for the purpose of predicting the response at some known point in the predictor variables' space, the width of the resulting prediction interval gives an indication of the precision with which the response is predicted and, thus, it may provide a suitable selection criterion. A review of commonly used selection criteria is given, with special emphasis on those which deal with the problem of prediction. The Mahalanobis distance is one of the quantities affecting the width of the prediction interval, and it is studied in some detail. The effects of adding a new variable to a model are investigated and a monotonicity theorem is derived. The influence of an observation on the width of the prediction interval, as measured by the effected change when that observation is set aside, is also investigated and an equivalence beteween observation deletions and variable augmentation is shown.
Descriptors : *COMPUTER PROGRAMS , *MATHEMATICAL MODELS , *COST ESTIMATES , *REGRESSION ANALYSIS , *MATHEMATICAL PREDICTION , ALGORITHMS , PARAMETRIC ANALYSIS , VARIABLES , STATISTICAL ANALYSIS , AIRCRAFT MODELS , DIGITAL COMPUTERS , INFORMATION PROCESSING , FORMULAS(MATHEMATICS) , INTERVALS
Subject Categories : Economics and Cost Analysis
Computer Programming and Software
Air Breathing Engines(unconventional)
Distribution Statement : APPROVED FOR PUBLIC RELEASE