Stepwise variable selection in factor analysis

Psychometrika ◽  
2000 ◽  
Vol 65 (1) ◽  
pp. 7-22 ◽  
Author(s):  
Yutaka Kano ◽  
Akira Harada
2019 ◽  
Vol 2019 ◽  
pp. 1-14 ◽  
Author(s):  
Meseret Getnet Meharie ◽  
Zachary C. Abiero Gariy ◽  
Raphael Ngumbau Ndisya Mutuku ◽  
Wubshet Jekale Mengesha

Accurate cost estimates are vital to the effective realisation of construction projects. Extended knowledge, wide-ranging information, substantial expertise, and continuous improvement are required to attain accurate cost estimation. Cost estimation at the preliminary phase of the project is always a challenge as only limited information is available. Hence, rational selection of input variables for preliminary cost estimation could be imperative. A systematic input variable selection approach for preliminary estimating using an integrated methodology of factor analysis and fuzzy AHP is presented in this paper. First, the factor analysis is used to classify and reduce the input variables and their variable coefficients are determined. Second, fuzzy AHP based on the geometric mean method is employed to determine the weights of input variables in a fuzzy environment where the subjectivity and vagueness are handled with natural language expressions parameterized by triangular fuzzy numbers. Then, the input variables are suggested to be selected starting with those having high coefficient and high importance weight. A set of three variables, one from each group, can be added to the estimating model at a time so that the problem of collinearity can vanish and good accuracy of the estimate can be ensured. The proposed approach enables cost estimators to better understand the complete input variable selection process at the early stage of project development and provide a more accurate, rational, and systematic decision support tool.


1991 ◽  
Vol 16 (1) ◽  
pp. 35-52 ◽  
Author(s):  
Robert Cudeck

Noniterative estimators of the unrestricted factor analysis model have been developed by, among others, Hägglund (1982) and Ihara and Kano (1986) that are consistent and very efficient computationally. Whereas each of these methods has several desirable properties, both require a subjective decision regarding the selection of subsets of variables that are needed to compute estimates of the parameters. An algorithm called PACE, based on an application of the sweep operator, is presented that automatically selects subsets of variables used for the Ihara-Kano estimator. A second algorithm initially presented by Du Toit (1986) is also described that automatically selects reference variables used in Hägglund’s Fabin estimators. A Monte Carlo experiment is reviewed that compares the relative performance of these estimators in addition to several others. Both new methods performed well in this experiment. Their relative merits on other criteria are discussed.


1983 ◽  
Vol 10 (13) ◽  
pp. 31-45 ◽  
Author(s):  
Yutaka Tanaka

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