Chapter VI: Factor Analytic Methodology

The authors of each of the 10 chapters of "Statistical Methodology" in the REVIEW OF EDUCATIONAL RESEARCH, 1963, were praised for mini­ mizing the use of mathematical symbolism, mathematical argument, and criticism in comparison with description (Brown, 1964). We have at­ tempted a similar treatment of the development of factor analytic meth­ odology in the period 1963-66 in hopes of reaching and informing the widest possible audience. However, since a review totally lacking in criticism and evaluation is little more than a search of the literature, we have striven to obtain an end product which is a hybrid of a catalogue and a critical review. The reader cannot hope to gain a comprehensive view of the develop­ ment of factor analysis over the last three years from this review. This is even too much to hope for from any one of several reviews of factor analytic methodology which have appeared recently (Harris, 1964; Merrifield and Cliff, 1963; Michael and Hunka, 1960; Michael, Kaiser, and Clark, 1957; Tucker, 1963b). The field has grown too broad and too deep to permit study of it at secondhand or from a compendium.

[1]  A S Jackson,et al.  Factor analytic methodology. , 1968, Research quarterly.

[2]  Raymond B. Cattell,et al.  Handbook of multivariate experimental psychology , 1968 .

[3]  C. Coombs,et al.  A theory of data. , 1960, Psychological review.

[4]  L. Tucker.  Three-Mode Factor Analysis Of Parker-Fleishman Complex Tracking Behavior Data. , 1967, Multivariate behavioral research.

[5]  G. Glass.  Alpha factor analysis of infallible variables , 1966, Psychometrika.

[6]  Gene V. Glass,et al.  Abuses of Factor Scores , 1966 .

[7]  J. Horn,et al.  Evidence on Problems in Estimating Common Factor Scores , 1966 .

[8]  L. Tucker,et al.  Some mathematical notes on three-mode factor analysis , 1966, Psychometrika.

[9]  K. Jöreskog.  Testing a simple structure hypothesis in factor analysis , 1966, Psychometrika.

[10]  P. Schönemann.  Varisim: A new machine method for orthogonal rotation , 1966, Psychometrika.

[11]  W. Hemmerle,et al.  Robustness of the maximum-likelihood estimation procedure in factor analysis , 1966, Psychometrika.

[12]  J. Srivastava,et al.  On testing hypotheses regarding a class of covariance structures , 1966, Psychometrika.

[13]  R. Cattell.  The Scree Test For The Number Of Factors. , 1966, Multivariate behavioral research.

[14]  N. Cliff.  Orthogonal rotation to congruence , 1966 .

[15]  P. Schönemann,et al.  A generalized solution of the orthogonal procrustes problem , 1966 .

[16]  Daniel Solomon,et al.  Teacher Behavior Dimensions, Course Characteristics, and Student Evaluations of Teachers , 1966 .

[17]  A. Madansky.  On admissible communalities in factor analysis , 1965, Psychometrika.

[18]  J. Darroch.  A set of inequalities in factor analysis , 1965, Psychometrika.

[19]  M. Regan.  Development and Classification of Models for Multivariate Analysis , 1965 .

[20]  J. Levin.  Three-mode factor analysis. , 1965, Psychological bulletin.

[21]  W. Hemmerle.  Obtaining maximum-likelihood estimates of factor loadings and communalities using an easily implemented iterative computer procedure , 1965, Psychometrika.

[22]  J. Horn.  An Empirical Comparison of Methods for Estimating Factor Scores , 1965 .

[23]  J. Horn.  A rationale and test for the number of factors in factor analysis , 1965, Psychometrika.

[24]  R. Cattell.  FACTOR ANALYIS: AN INTRODUCTION TO ESSENTIALS. II. THE ROLE OF FACTOR ANALYSIS IN RESEARCH. , 1965, Biometrics.

[25]  Henry F. Kaiser,et al.  Alpha factor analysis , 1965, Psychometrika.

[26]  Andrew Robert Baggaley,et al.  Intermediate Correlational Methods , 1964 .

[27]  H. Kaiser,et al.  Oblique factor analytic solutions by orthogonal transformations , 1964 .

[28]  J. Butler.  Simplest Data Factors and Simple Structure in Factor Analysis , 1964 .

[29]  E. Heermann.  The geometry of factorial indeterminancy , 1964 .

[30]  James A. Walsh,et al.  An IBM 709 Program for Factor Analyzing Three-Mode Matrices , 1964 .

[31]  Lloyd G. Humphreys,et al.  Number of Cases and Number of Factors: an Example Where N is Very Large , 1964 .

[32]  J. Horn.  A Note on the Estimation of Factor Scores , 1964 .

[33]  J. Block.  RECOGNIZING ATTENUATION EFFECTS IN THE STRATEGY OF RESEARCH. , 1964, Psychological bulletin.

[34]  D. Crowne,et al.  CORRECTION FOR ATTENUATION AND THE EQUIVALENCE OF TESTS. , 1964, Psychological bulletin.

[35]  Albert Newhouse,et al.  Measures of invariance and comparability in factor analysis for fixed variables , 1964 .

[36]  C. Harris.  Some Recent Developments in Factor Analysis , 1964 .

[37]  William Meredith,et al.  Notes on factorial invariance , 1964 .

[38]  Albert Madansky,et al.  Instrumental variables in factor analysis , 1964 .

[39]  William Meredith,et al.  Rotation to achieve factorial invariance , 1964 .

[40]  P. Horst.  Matrix Algebra for Social Scientists , 1964 .

[41]  J. Ross,et al.  Mean performance and the factor analysis of learning data , 1964 .

[42]  William F. Massy,et al.  Multivariate Procedures for the Behavioral Sciences. , 1964 .

[43]  William Meredith,et al.  Canonical correlations with fallible data , 1964 .

[44]  A. E. Maxwell,et al.  Factor Analysis as a Statistical Method. , 1964 .

[45]  R. M. Johnson.  On a theorem stated by eckart and young , 1963 .

[46]  W. Michael,et al.  A Comparison of Two Computer-Based Procedures of Orthogonal Analytic Rotation with a Graphical Method When a General Factor is Present1 , 1963 .

[47]  M. E. Baehr.  A comparison of graphic and analytic solutions for both oblique and orthogonal simple structures for factors of employee morale , 1963 .

[48]  E. Heermann.  Univocal or orthogonal estimators of orthogonal factors , 1963 .

[49]  J. Horn.  Second-Order Factors in Questionnaire Data , 1963 .

[50]  R. Weitzman.  A factor analytic method for investigating differences between groups of individual learning curves , 1963 .

[51]  J. Block.  The equivalence of measures and the correction for attenuation. , 1963, Psychological bulletin.

[52]  Raymond B. Cattell,et al.  The Basis of Recognition and Interpretation of Factors , 1962 .

[53]  Chester W. Harris,et al.  Some rao-guttman relationships , 1962 .

[54]  H. Harman.  Modern factor analysis , 1961 .

[55]  H. Kaiser.  The Application of Electronic Computers to Factor Analysis , 1960 .

[56]  H. Kaiser,et al.  Research Tools: Statistical Methods , 1957 .

[57]  Calyampudi R. Rao.  Estimation and tests of significance in factor analysis , 1955 .

[58]  Louis Guttman,et al.  Image theory for the structure of quantitative variates , 1953 .

[59]  B. Green.  The orthogonal approximation of an oblique structure in factor analysis , 1952 .

[60]  William Vance Clemans,et al.  An analytical and empirical examination of some properties of ipsative measures , 1967 .

[61]  Herbert W. Eber,et al.  Toward Oblique Simple Structure : Maxplane , 1966 .

[62]  Nícia Maria Bessa,et al.  An Introduction to Psychological Statistics , 1965 .

[63]  Paul Horst,et al.  Factor analysis of data matrices , 1965 .

[64]  W. Torgerson.  Scaling and test theory. , 1961, Annual review of psychology.