Discriminant Analysis Introduction This chapter introduces another extension of regression where the DV may have more than two conditions at a categorical level and IV’s are scale data. DISCRIMINANT FUNCTION ANALYSIS (DA) John Poulsen and Aaron French Key words: assumptions, further reading, computations, standardized coefficents, structure matrix, tests of signficance Introduction Discriminant function analysis is used to determine which continuous variables discriminate between two or more naturally occurring groups. Discriminant Function Analysis Discriminant function A latent variable of a linear combination of independent variables One discriminant function for 2-group discriminant analysis For higher order discriminant analysis, the number of discriminant function is equal to g-1 (g is the number of categories of dependent/grouping variable). If (In the graphical user interface, check Fisher's under Function Coefficients in the Analyze->Classify->Discriminant dialog box.) In SPSS, this test is based on Wilks’ λ. The overall covariance matrix, , is given by: T T = 1 N -1 S T Few Examples of discriminant analysis in marketing research. Multivariate Data Analysis Using SPSS. Canonical Discriminant Function Coefficients Function 1 Writtentest GD PI (Constant) .136 .250 -.039 -13.230 Unstandardized coefficients Functions at Group Centroids Function R Pass Fail 1 .335 -1.101. Wilks' lambda is a measure of how well each function separates cases Discriminant analysis Discriminant Analysis. Discriminant function analysis is found in SPSS under Analyze>Classify>Discriminant. Discriminant analysis builds a predictive model for group membership. Linear discriminant performs a multivariate test of difference between groups. The SPSS DISCRIMINANT procedure will display the Fisher Classification Coefficients if you specify the keyword COEFF on the /STATISTICS subcommand. Discriminant Function Analysis SPSS output: summary of canonical discriminant functions When there are two groups, the canonical correlation is the most useful measure in the table, and it is equivalent to Pearson's correlation between the discriminant scores and the groups. Chapter 6 Discriminant Analyses. The purposes of discriminant analysis (DA) Discriminant Function Analysis (DA) undertakes the same task as multiple linear regression by predicting an outcome. Chapter 6 Discriminant Analyses SPSS - Discriminant Analyses Data file used: graduate.sav In this example the topic is criteria for acceptance into a graduate program. If discriminant function analysis is effective for a set of data, the classification table of correct and incorrect estimates will yield a high percentage correct. Discriminant Function Analysis •Discriminant function analysis (DFA) builds a predictive model for group membership •The model is composed of a discriminant function based on linear combinations of predictor variables. Data file used: In this example the topic is criteria for acceptance into a graduate. The canonical correlation between the jth discriminant function and the independent variables is related to these eigenvalues as follows: c j j j r = 1+ λ λ Various other matrices are often considered during a discriminant analysis. This analysis is used when you have one or more normally distributed interval independent variables and a categorical variable. Discriminant analysis is a technique for analyzing data when the criterion ... multiple discriminant analysis more than one function may be computed. The model is composed of a discriminant function (or, for more than two groups, a set of. SPSS 16 Made Simple – Paul R. Kinnear & Colin D. 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