CH 5 Exploratory Factor Analysis Common Factor Model

CH 5— Exploratory Factor Analysis

Common Factor Model Principal Components Model

5. 2. 2 Mechanics 主成份分析

5. 2. 2 Mechanics (續)

Rotational indeterminacy n n In PCA, we choose each component in sequential fashion to account for the maximum possible amount of variation in our original data, subject to the constraint of being uncorrelated with all previously selected components. This ensures a unique solution. With the common factor model, we impose no such constraint. Therefore, there are effectively an infinite number of solutions that are identical to the extent to which they are able to approximate the matrix

Rotational indeterminacy Note: T is a orthogonal rotation matrix.

5. 2. 2 Mechanics (續)

5. 2. 2 Mechanics (續)

5. 2. 2 Mechanics (續)

5. 3 SAMPLE PROBLEM

25個屬性 Filling Family Natural Fibre Sweet Calories Plain Crisp Easy Salt Satisfying Energy Fun Kids Soggy Economical Health Regular Sugar Fruit Process Quality Treat Boring Nutritious

SMC (squared multiple correlation) n Which is the amount of variation in one variable explained by all other variables in the data set.

(轉軸後 ) Healthful Artificial Non-Adult Intersting

The end