The Construct Validity of Higher Order Structure-of-Intellect Abilities in a Battery of Tests Emphasizing the Product of Transformations: A Confirmatory Maximum Likelihood Factor Analysis

Abstract

Within the context of a causal modeling system involving use of Joreskog's confirmatory maximum likelihood factor analysis in conjunction with the LISREL IV computer program devised by Joreskog and Sorbom an evaluation was made of the construct validity underlying the higher order factor structure of a given correlation matrix of 46 structure-of-intellect (SOI) tests emphasizing the product of transformations. The tenability of four alternative factor models was examined relative to their accounting for the intercorrelations among the 46 tests that had been hypothesized to represent first-order abilities involving one kind of operation, one type of content, and one form of product. The major elements of each of the three postulated dimensions of the SOI model (the five operations, the five contents, and the six products) were defined as the 16 possible third-order factors. The following conclusions resulted: (a) the five third-order SOI factors comprising operations of cognition, convergent production, divergent production, memory, and evaluation do not appear to be highly differentiated (with the cognition and convergent production factors being substantially correlated); (b) the two third-order factors of symbolic and semantic content are relatively discrete; (c) the third-order product factor involving the ability to complete tasks requiring hypothesized transformations is an identifiable construct; and (d) evidence of the construct validity of the third-order factors in the SOI test battery analyzed appears to be at best only equivocal. The predominance of tests intended to reflect the product of transformations (32 out of 46) very possibly created inflated levels of intercorrelations among SOI tests that prevented the emergence of distinct higher order dimensions. New confirmatory maximum likelihood factor analyses of correlational matrices derived from SOI tests in which a careful balance has been achieved in the representation of hypothesized third-order factors across the three basic dimensions of the SOI model are expected to demonstrate differentiability among the higher order constructs.

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References

Bentler, P. M. Multivariate analysis with latent variables: Causal modeling. In M. R. Rosenzweig and L. W. Porter (Eds.), Annual review of psychology (Vol. 31). Palo Alto, Calif.: Annual Reviews, 1980, pp. 419-456.

Guilford, J. P. The structure of intellect . Psychological Bulletin, 1956, 53, 267-293.

Guilford, J. P. Three faces of intellect . American Psychologist, 1959, 14, 469-479.

Guilford, J. P. The nature of human intelligence. New York: McGraw-Hill, 1967.

Guilford, J. P. Cognitive psychology with a frame of reference. San Diego: EdITS, 1979.

Guilford, J. P. Higher-order structure-of-intellect abilities . Multivariate Behavioral Research, 1981, 16, 411-435.

Guilford, J. P. and Hoepfner, R. The analysis of intelligence. New York: McGraw-Hill, 1971.

Harris, M. L. and Harris, C. W. A factor analytic interpretation strategy. EDUCATIONAL AND PSYCHOLOGICAL MEASUREMENT, 1971, 31, 589-606.

Hoepfner, R. , Guilford, J. P. , and Bradley, P. A. Identification of transformation abilities in the structure-of-intellect model. Reportfrom the Psychological Laboratory, University of Southern California, No. 41, 1968.

10.

Jöreskog, K. G. A general approach to confirmatory maximum likelihood factor analysis . Psychometrika, 1969, 34, 183-202.

11.

Jöreskog, K. G. Structural analysis of covariance and correlation matrices . Psychometrika, 1978, 43, 443-477.

12.

Jöreskog, K. G. and Goldberger, A. S. Estimation of a model with multiple indicators and multiple causes of a single latent variable. Journal of the American Statistical Association, 1975, 70, 631-639.

13.

Jöreskog, K. G. and Sorbom, D. Lisrel IV: Analysis of linear structural relationships by method of maximum likelihood. Chicago: National Educational Resources (Distribution by International Educational Services), 1978.

14.

Jöreskog, K. G. and Sorbom, D. Advances in factor analysis and structural equation models. Cambridge, Mass: Abt Books, 1979.

15.

Kelderman, H. , Mellenbergh, G. J. , and Elshout, J. J. Guilford's facet theory of intelligence: An empirical comparison of models. Multivariate Behavioral Research, 1981, 16, 37-61.

16.

Kenny, D. A. An empirical application of confirmatory factor analysis to the multitrait-multimethod matrix , Journal of Experimental Social Psychology, 1976, 12, 247-252.

17.

Lomax, R. G. A guide to LISREL-type structural equation modeling . Paper presented at the annual meeting of the American Educational Research Association, Los Angeles, April 1981.

18.

Tucker, L. R. and Lewis, C. A. A reliability coefficient for maximum likelihood factor analysis. Psychometrika, 1973, 38, 1-10.

19.

Wolfle, L. M. and Robertshaw, D. Latent causal structures in panel surveys. Paper presented at the annual meeting of the American Educational Research Association, Los Angeles, April 1981.