Predictive Modeling of Multivariable and Multivariate Data

Abstract A new inductive statistical technique, MAID-M, performs predictive modeling for a multivariate criterion from a set of predictor variables. Based on additive multivariate measures of association, it identifies the smallest combination of predictor variables accounting for a maximal proportion of the variation space of a given set of criterion variables. Estimates of reliability as well as validity for specific empirical solutions are provided. An example with real data and comparisons with other inductive methods illustrate the technique.

[1]  T. W. Anderson.  An Introduction to Multivariate Statistical Analysis , 1959 .

[2]  H. Hotelling.  The most predictable criterion. , 1935 .

[3]  John A. Sonquist,et al.  Multivariate model building;: The validation of a search strategy , 1970 .

[4]  D. F. Morrison,et al.  Multivariate Statistical Methods , 1968 .

[5]  K. Weick.  The social psychology of organizing , 1969 .

[6]  Peer Soelberg,et al.  On the Interpretation of Factor Analysis , 1968 .

[7]  F. M. Andrews,et al.  A COMMENT ON EINHORN'S “ALCHEMY IN THE BEHAVIORAL SCIENCES” , 1973 .

[8]  S. S. Wilks.  CERTAIN GENERALIZATIONS IN THE ANALYSIS OF VARIANCE , 1932 .

[9]  R. Fisher.  THE USE OF MULTIPLE MEASUREMENTS IN TAXONOMIC PROBLEMS , 1936 .

[10]  B. J. Winer.  Statistical Principles in Experimental Design , 1992 .

[11]  R. Kahn,et al.  The Social Psychology of Organizations , 1966 .

[12]  T. W. Anderson,et al.  An Introduction to Multivariate Statistical Analysis , 1959 .

[13]  James N. Morgan,et al.  Searching for structure (alias-AID-III) : an approach to analysis of substantial bodies of micro-data and documentation for a computer program (successor to the Automatic Interaction Detector Program) , 1971 .

[14]  Juliet Popper Shaffer,et al.  A Multivariate Extension of the Correlation Ratio , 1974 .

[15]  W. Bennis,et al.  The Social Psychology of Organizations , 1966 .

[16]  小郷 直言,et al.  John Sonquist;Multivate Model Building:The Validation of A Search Strategy,Ann Arbor,1970 , 1975 .

[17]  Calyampudi R. Rao,et al.  Advanced Statistical Methods in Biometric Research. , 1953 .

[18]  J. Morgan,et al.  Problems in the Analysis of Survey Data, and a Proposal , 1963 .

[19]  A. Wald.  On a Statistical Problem Arising in the Classification of an Individual into One of Two Groups , 1944 .

[20]  H. Hotelling.  Relations Between Two Sets of Variates , 1936 .

[21]  Philip J. Stone,et al.  Experiments in induction , 1966 .

[22]  H. J. Einhorn.  ALCHEMY IN THE BEHAVIORAL SCIENCES , 1972 .

[23]  R. C. Messenger,et al.  A Modal Search Technique for Predictive Nominal Scale Multivariate Analysis , 1972 .

[24]  Gerald H. Shure,et al.  An interactive technique for the analysis of multivariate data , 1969 .