Hostname: page-component-745bb68f8f-l4dxg Total loading time: 0 Render date: 2025-01-08T16:21:34.716Z Has data issue: false hasContentIssue false

A Synthesis of Two Factor Analyses of Intermediate Algebra

Published online by Cambridge University Press:  01 January 2025

William E. Kline*
Affiliation:
Board of Education of Baltimore County, Maryland

Abstract

A battery of 18 tests of intermediate algebra and 20 reference tests was administered to two successive second-year algebra classes. Each battery was separately factor analyzed by Thurstone methods, and the two analyses were synthesized by the Tucker method. The five congruent factors obtained were identified as: Verbal Comprehension, Deductive Reasoning, Algebraic Manipulative Skill, Number Ability, and Adaptability to a New Task.

Type
Original Paper
Copyright
Copyright © 1959 The Psychometric Society

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Footnotes

*

This paper is a condensation of a thesis. The work was begun while the author was a Psychometrics Fellow of the Educational Testing Service. The work was further supported by Contract N6onr-270-20 of the Office of Naval Research and by Grant NSF G-642 of the National Science Foundation. The writer is indebted to Professors Harold Gulliksen and Ledyard R Tucker for their guidance throughout this study.

References

Army Air Force Aviation Psychology Program Research Reports. Printed classification tests. Report No. 5, 1947, 113–122..Google Scholar
Coombs, C. H. A factorial study of number ability. Psychometrika, 1941, 6, 161189.CrossRefGoogle Scholar
French, J. W. The West Point tryout of the guidance battery, Part 2. Princeton: Educ. Test. Serv. Res. Bull., 1955, 55–6.Google Scholar
Garrett, H. E. Differential mental traits. Psychol. Rec., 1938, 2, 259298.CrossRefGoogle Scholar
Goodman, C. H. A factorial analysis of Thurstone's sixteen primary mental abilities tests. Psychometrika, 1943, 8, 141151.CrossRefGoogle Scholar
Harrell, W. A factor analysis of mechanical ability tests. Psychometrika, 1940, 5, 1734.CrossRefGoogle Scholar
Michael, W. B. Factor analyses of tests and criteria: a comparative study of two AAF populations. Psychol. Monogr., 1949, 63, 3.CrossRefGoogle Scholar
Peterson, D. A. Factor analysis of the new United States Navy basic classification test battery, Washington: U. S. Dept. of Commerce, 1946.Google Scholar
Sisk, H. L. A multiple factor analysis of mental abilities in the freshman engineering curriculum. J. Psychol., 1940, 9, 165177.CrossRefGoogle Scholar
Taylor, C. W. A factorial study of fluency in writing. Psychometrika, 1947, 13, 239262.CrossRefGoogle Scholar
Thurstone, L. L. Multiple-factor analysis, Chicago: Univ. Chicago Press, 1947.Google Scholar
Thurstone, L. L. Primary mental abilities, Chicago: Univ. Chicago Press, 1938.Google Scholar
Thurstone, L. L. and Thurstone, T. G. Factorial studies of intelligence, Chicago: Univ. Chicago Press, 1941.Google Scholar
Tucker, L. R. A method for synthesis of factor analysis studies. Dept. of the Army, A.G.O. Personnel Res. Sec., Rep. No. 984, 1951.CrossRefGoogle Scholar