develop a research problem that requires the use of discriminate analysis.use 'entered college''did not enter college'as dependent variables. Discuss with basis functions
Answers
Use of discriminate analysis along with examples is given below.
Explanation:
Discriminant function analysis is used to predict group membership based on a linear combination of the interval variables. The procedure begins with a set of observations where both group membership and the values of the interval variables are known. The end result of the procedure is a model that allows prediction of group membership when only the interval variables are known. A second purpose of discriminant function analysis is an understanding of the data set, as a careful examination of the prediction model that results from the procedure can give insight into the relationship between group membership and the variables used to predict group membership.
For example, a researcher might have a large data set of information from a high school about their former students. Each student belongs to a single group: (1) did not graduate from high school (2) graduated from high school or obtained a GED (3) attended.
The researcher wishes to predict student outcome group using interval predictor variables such as: grade point average, attendance, degree of participation in various extra-curricular activities (band, athletics, etc.), weekly amount of screen time, and parental educational level. Given this complex multivariate data set and the discriminant function analysis procedure, the researcher can find a subset of variables that in a linear combination allows prediction of group membership. As a bonus, the relative importance of each variable in this subset is part of the output. Often researchers are satisfied with this understanding of the data set and stop at this point.
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