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Gilles Raîche, Martin Riopel, Jean-Guy Blais Non Graphical Solutions for the Cattells Scree Test Gilles Raîche, UQAM Martin Riopel, UQAM Jean-Guy Blais,

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Presentation on theme: "Gilles Raîche, Martin Riopel, Jean-Guy Blais Non Graphical Solutions for the Cattells Scree Test Gilles Raîche, UQAM Martin Riopel, UQAM Jean-Guy Blais,"— Presentation transcript:

1 Gilles Raîche, Martin Riopel, Jean-Guy Blais Non Graphical Solutions for the Cattells Scree Test Gilles Raîche, UQAM Martin Riopel, UQAM Jean-Guy Blais, Université de Montréal Montréal June 16 th 2006

2 Gilles Raîche, Martin Riopel, Jean-Guy Blais STEPS Scree test weekness Classical strategies for the number of components to retain Non graphical solutions for the scree test

3 Gilles Raîche, Martin Riopel, Jean-Guy Blais Scree Test Weekness Figural non numeric solution Subjectivity Low inter-rater agreement (from a low 0.60, mean of 0.80)

4 Gilles Raîche, Martin Riopel, Jean-Guy Blais Classical Strategies for the Number of Components to Retain Kaiser-Guttman rule

5 Gilles Raîche, Martin Riopel, Jean-Guy Blais Classical Strategies for the Number of Components to Retain Parallel Analysis i. Generate n random observations according to a N(0,1) distribution independently for p variates ii. Compute the Pearson correlation matrix iii. Compute the eigenvalues of the Pearson correlation matrix iv. Repeat steps 1 to 3 k times v. Compute a location statistic () on the p vectors of k eigenvalues : mean, median, 5 th centile, 95 th centile, etc. vi. Replace the value 1.00 by the location statistic in the Kaiser-Guttman formula.

6 Gilles Raîche, Martin Riopel, Jean-Guy Blais Classical Strategies for the Number of Components to Retain Parallel Analysis

7 Gilles Raîche, Martin Riopel, Jean-Guy Blais Classical Strategies for the Number of Components to Retain Cattells Scree Test

8 Gilles Raîche, Martin Riopel, Jean-Guy Blais Non Graphical Solutions to the Scree Test Optimal Coordinates

9 Gilles Raîche, Martin Riopel, Jean-Guy Blais Non Graphical Solutions to the Scree Test Acceleration Factor

10 Gilles Raîche, Martin Riopel, Jean-Guy Blais Non Graphical Solutions to the Scree Test Example I

11 Gilles Raîche, Martin Riopel, Jean-Guy Blais Non Graphical Solutions to the Scree Test ComponentEigenvalueParallel Analysis Optimal Coordinate Acceleration Factor na na

12 Gilles Raîche, Martin Riopel, Jean-Guy Blais Conclusion Parsimonious solutions Easy to implement More comparisons have to be done with other solutions

13 Gilles Raîche, Martin Riopel, Jean-Guy Blais To Join Us


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