Factor Analysis The purpose of factor analysis is

  • Slides: 16
Download presentation
Factor Analysis The purpose of factor analysis is to discover patterns in the relationships

Factor Analysis The purpose of factor analysis is to discover patterns in the relationships among the variables

Factor Analysis Form of multiple correlations n Checking for construct validity n Do questions

Factor Analysis Form of multiple correlations n Checking for construct validity n Do questions measure the same dimension? n For use between or within a test n Identify items which cluster together n

Correlation Matrix 1 2 3 4 5 1. Vocab 1. 00. 22. 77. 20.

Correlation Matrix 1 2 3 4 5 1. Vocab 1. 00. 22. 77. 20. 50 2. Algebra. 22 1. 00. 21. 65. 48 3. Analogy. 77. 21 1. 00. 19. 52 4. Geom. 20. 65. 19 1. 00. 47 5. Alg-wrd. 50. 48. 52. 47 1. 00

Factor analysis of 5 items Factors Vocabulary Algebra Analogy Geometry Algebra-Word % of variance

Factor analysis of 5 items Factors Vocabulary Algebra Analogy Geometry Algebra-Word % of variance I. 917. 113. 925. 086. 594 54. 00 II. 101. 885. 094. 891. 573 26. 00

Factor loadings Identify clusters of questions n correlations n positive or negative n may

Factor loadings Identify clusters of questions n correlations n positive or negative n may load on more than one factor n score indicates strength of question n

Types of factor analysis Exploratory factor analysis n Confirmatory factor analysis n

Types of factor analysis Exploratory factor analysis n Confirmatory factor analysis n

Confirmatory factor analysis Strong hypothesis -- There are two factors in this test --

Confirmatory factor analysis Strong hypothesis -- There are two factors in this test -- questions 1 -5 load onto one factor -- questions 6 -10 load onto the other factor

Factor loadings - 1 Qs# 1 2 3 4 5 6 7 8 9

Factor loadings - 1 Qs# 1 2 3 4 5 6 7 8 9 10 Factor 1. 63. 52. 43. 89. 74 Factor 2 . 36. 74. 86. 64. 52

Factor loadings - 2 Qs# 1 2 3 4 5 6 7 8 9

Factor loadings - 2 Qs# 1 2 3 4 5 6 7 8 9 10 Factor 1. 63. 52 Factor 2 . 43. 89. 74. 36. 74. 86. 64. 52

Factor loadings - 3 Qs# 1 2 3 4 5 6 7 8 9

Factor loadings - 3 Qs# 1 2 3 4 5 6 7 8 9 10 Factor 1. 63 -. 52. 43. 89 -. 74 Factor 2 . 36. 74 -. 86. 64 -. 52

Locus of Control – 1 factor Qs# 1 2 3 4 5 6 7

Locus of Control – 1 factor Qs# 1 2 3 4 5 6 7 8 9 10 Factor 1. 63. 52 -. 43 -. 89 -. 74. 32. 26. 75. 19 -. 80

Locus of Control multiple factors Qs# 1 1. 56 2 3 4 5 6

Locus of Control multiple factors Qs# 1 1. 56 2 3 4 5 6 8 9 14 18 2 3 4 5 6 . 45. 34. 78. 39. 40. 67. 50. 34. 75

Need for Closure – factors example Qs# 1 2 3 4 x x x

Need for Closure – factors example Qs# 1 2 3 4 x x x x x 45 46 47 Order. xxx Predict Decisive Ambiguity Closed minded -. xxx. xxx -. x . xxx -. xxx

Hypothesis n This test measures 4 different factors questions 1 -5 are one factor

Hypothesis n This test measures 4 different factors questions 1 -5 are one factor questions 6 -10 are a second factor questions 11 -15 are a third factor questions 16 -20 are a fourth factor

Project question n What do you think the factor structure of your test would

Project question n What do you think the factor structure of your test would look like?