Factor Analysis The purpose of factor analysis is
- Slides: 16
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 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. 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 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 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
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 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 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 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 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 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 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 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 look like?
- Factor analysis assumptions
- What is the purpose of factor analysis
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