Question

Of the analysis methods listed [Principal Component Analysis, Factor Analysis, Cluster Analysis, Discriminative Analysis, Logistic Regression, MANOVA, Canonical Correlation] The data consist of 130 observations generated by scores on a psychological test administered to Peruvian teenagers. For each of these teenagers the gender (male = 1, female =2) and socioeconomic status (low=1, Medium =2) were recorded. The scores were accumulated into five subscale sores labeled Independence, support, benevolence, conformity, and leadership.

Answer 1

Here the suitable analysis method is Discriminative analysis.

Discriminant Analysis is a technique used to find a set of prediction equations based on one or more independent variables. These prediction equations are then used to classify individuals into groups. There are two common objectives in discriminant analysis: 1. finding a predictive equation for classifying new individuals, and 2. interpreting the predictive equation to better understand the relationships among the variables.

In many ways, discriminant analysis is much like logistic regression analysis. The methodology used to complete a discriminant analysis is similar to logistic regression analysis. You often plot each independent variable versus the group variable, go through a variable selection phase to determine which independent variables are beneficial, and conduct a residual analysis to determine the accuracy of the discriminant equations.