An investigation into Ledermann structure in the oblique factor model.
Published: 1973
Language: eng
Number of pages: 90
Subjects: Factor analysis.
Description: The object of the paper is to investigate a method, based on a theorem proposed by Ledermann, for reaching simple structure in factor analysis.  The aim is to find out:

1.  if the method (or some modification of it) produces a simple structure solution satisfying the condition laid down by Thurstone (1947).  (The question is, can the method recover perfect simple structure when it exists?);
2.  if the method can produce a unique transformation matriz which produces in effect a unique cluster solution when it exists;
3.  if there is the problem of "rotating to singularity", (i.e., the reference factor correlation matrix becomes singular), and if so, how we are to avoid it;
4.  if there could be more than one transformation which yields a matrix satisfying some of Thurstone's criteria for simple structure.

Practical comparisons of the solutions would be made with solutions from other methods used in rotation to simple structure, such as, Oblimax, Quartimin, Covarimin, Biquartimin and Jennrich and Sampson's (1966) simple loadings method, by using well known examples of orthogonal factor patterns.  In addition, approximations would be found to the best-fitting orthogonal simple structure from the oblique solutions obtained for some of the factor patterns and compare the results obtained with those obtained by Varimax.
Notes: Thesis (M.A.)--University of Toronto, 1973.

References: leaves 79-80.
Table of contents: pagenum: (i)
class: part
title: Acknowledgements; pagenum: (iii)
class: part
title: List of Tables; pagenum: 1
title: GENERAL INTRODUCTION
class: part
label: 1; pagenum: 1
label: 1.0
class: part
title: Introduction; pagenum: 2
label: 1.1
class: part
title: The Factor Analysis Model and the Principle of Simple Structure; pagenum: 7
label: 1.2
class: part
title: The Oblique Factor Model; pagenum: 9
title: The Oblique Multiple-factor  Solution
class: part
label: 1.3; pagenum: 12
label: 1.4
class: part
title: Analytical methods for the Oblique Factor Solution; pagenum: 20
label: 2
class: part
title: LEDERMANN'S SIMPLE STRUCTURE AND PATTERN; pagenum: 20
label: 2.0
class: part
title: Introduction; pagenum: 20
title: Existence of a Pattern Matric Statisfying Thurstone's Second Condition for Simple Structure
class: part
label: 2.1; pagenum: 24
title: The Determinant Method for Reaching Simple Structure
class: part
label: 2.2; pagenum: 30
title: The Minimum Eigenvalue Method
class: part
label: 2.3; pagenum: 36
label: 2.4
class: part
title: Summary of the Minimum Eigenvalue method; pagenum: 37
title: Minimization of Near-Zero Entries of Ledermann Structure
class: part
label: 2.5; pagenum: 42
label: 2.6
class: part
title: Approximation of the Best-fitting Orthogonal Structure From Oblique Solution; pagenum: 48
title: RESULTS
class: part
label: 3; pagenum: 77
title: SUMMARY AND CONCLUSIONS
class: part
label: 4; pagenum: 79
class: part
title: REFERENCES; pagenum: 81
class: part
title: APPENDIX A; pagenum: 88
class: part
title: APPENDIX B