Answer to Question #258346 in Statistics and Probability for Madimetja

Question

QUESTION 1. Exploratory factor analysis is a statistical approach that can be used to analyse interrelationships among several variables and to explain these variables in terms of their common underlying dimensions (factors).

QUESTION 2. Multiple regression is an analytical technique for developing meaningful subgroups of individuals or objects. 

QUESTION 3. Multiple discriminant analysis is a statistical technique to predict the changes in the dependent variable in response to changes in the independent variables. 

Answer 1

1.

Exploratory factor analysis is a statistical approach that can be used to analyze interrelationships among a large number of variables and to explain these variables in terms of a smaller number of common underlying dimensions. This involves finding a way of condensing the information contained in some of the original variables into a smaller set of implicit variables (called factors) with a minimum loss of information.

2.

Regression analysis is a statistical learning technique useful to infer the relationship between a dependent variable Y and p independent variables X.

3.

Multiple discriminant analysis is a multivariate technique that helps the user explain group membership as a function of multiple independent variables. In particular, discriminant analysis is appropriate when the user is faced with a situation involving a categorical (nominal or ordinal) dependent variable and independent variables that are primarily continuous (interval or ratio) although categorical independent variables can be included under some conditions.