Non Graphical Solutions for the Cattells Scree Test

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Non Graphical Solutions for the Cattell’s Scree Test Gilles Raîche, UQAM Martin Riopel, UQAM

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

STEPS Scree test weekness n Classical strategies for the number of components to retain

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

Scree Test Weekness Figural non numeric solution n Subjectivity n Low inter-rater agreement (from

Scree Test Weekness Figural non numeric solution n Subjectivity n Low inter-rater agreement (from a low 0. 60, mean of 0. 80) n Gilles Raîche, Martin Riopel, Jean-Guy Blais

Classical Strategies for the Number of Components to Retain n Kaiser-Guttman rule Gilles Raîche,

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

Classical Strategies for the Number of Components to Retain Parallel Analysis n i. ii.

Classical Strategies for the Number of Components to Retain Parallel Analysis n i. ii. iv. v. vi. Generate n random observations according to a N(0, 1) distribution independently for p variates Compute the Pearson correlation matrix Compute the eigenvalues of the Pearson correlation matrix Repeat steps 1 to 3 k times Compute a location statistic () on the p vectors of k eigenvalues : mean, median, 5 th centile, 95 th centile, etc. Replace the value 1. 00 by the location statistic in the Kaiser-Guttman formula. Gilles Raîche, Martin Riopel, Jean-Guy Blais

Classical Strategies for the Number of Components to Retain n Parallel Analysis Gilles Raîche,

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

Classical Strategies for the Number of Components to Retain n Cattell’s Scree Test Gilles

Classical Strategies for the Number of Components to Retain n Cattell’s Scree Test Gilles Raîche, Martin Riopel, Jean-Guy Blais

Non Graphical Solutions to the Scree Test n Optimal Coordinates Gilles Raîche, Martin Riopel,

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

Non Graphical Solutions to the Scree Test n Acceleration Factor Gilles Raîche, Martin Riopel,

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

Non Graphical Solutions to the Scree Test n Example I Gilles Raîche, Martin Riopel,

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

Non Graphical Solutions to the Scree Test Component Eigenvalue Parallel Analysis Optimal Coordinate Acceleration

Non Graphical Solutions to the Scree Test Component Eigenvalue Parallel Analysis Optimal Coordinate Acceleration Factor 1 2 3 4 5 6 7 8 9 10 11 3. 12 2. 70 1. 22 1. 16 0. 88 0. 76 0. 70 0. 59 0. 45 0. 40 0. 35 2. 15 1. 75 1. 47 1. 26 1. 05 0. 89 0. 76 0. 62 0. 48 0. 35 0. 23 2. 96 1. 33 1. 28 na na na -1. 06 1. 42 na na Gilles Raîche, Martin Riopel, Jean-Guy Blais

Conclusion Parsimonious solutions n Easy to implement n More comparisons have to be done

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

To Join Us n Raiche. Gilles@uqam. ca http: //www. er. uqam. ca/nobel/r 17165/ n

To Join Us n Raiche. Gilles@uqam. ca http: //www. er. uqam. ca/nobel/r 17165/ n Riopel. Martin@uqam. ca http: //camri. uqam. ca/camri/membre/riopel/ n Jean-Guy. Blais@umontreal. ca Gilles Raîche, Martin Riopel, Jean-Guy Blais

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