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Factor Analysis

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April 21, 2008
PSYC500 – Advanced Statistics

HW7: Regression with Categorical Predictors

Using Personality Inventory variables and perform two factor analysis, one using unrotated solution, and another using rotated orthogonal solution.

Q1. Are the communalities the same using either method?

Factor Analysis 1 – Unrotated Solution

Communalities | | Initial | Extraction | Beck's Depression Inventory | 1.000 | .666 | measures the extent to which a person is impulsive the higher the value the more impulsive the person is | 1.000 | .643 | Rotter Locus of Control Measure | 1.000 | .666 | Life Optimism Test | 1.000 | .798 | indicator for whether the South Oaks Gambling Screen suggests that the person is a probable pathological gambler | 1.000 | .654 | Extraction Method: Principal Component Analysis. |

Factor Analysis 2 – Rotated Orthogonal Solution

Communalities | | Initial | Extraction | Beck's Depression Inventory | 1.000 | .666 | measures the extent to which a person is impulsive the higher the value the more impulsive the person is | 1.000 | .643 | Rotter Locus of Control Measure | 1.000 | .666 | Life Optimism Test | 1.000 | .798 | indicator for whether the South Oaks Gambling Screen suggests that the person is a probable pathological gambler | 1.000 | .654 | Extraction Method: Principal Component Analysis. |

Yes; the communalites are the same.

Q2: Using unrotated solution, for the first factor, calculate extraction communalities from component matrix.

Component Matrixa | | Component | | 1 | 2 | Beck's Depression Inventory | .797 | -.177 | measures the extent to which a person is impulsive the higher the value the more impulsive the person is | .622 | .506 | Rotter Locus of Control Measure | -.806 | .124 | Life Optimism Test | -.688 | .569 | indicator for whether the South Oaks Gambling…...

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