Exam 18: Discriminant and Logit
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Discriminant functions are linear combinations of the predictor or independent variables, which will best discriminate between the categories of the criterion or dependent variable (groups).
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The procedure that is used to estimate the parameters of the binary logit model is called the
maximum likelihood method.
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D is the in the model D = b0 + b1X1 + b2X2 + b3X3 + ... + bkXk.
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In discriminant analysis, we can obtain some idea of the relative importance of the variables by .
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The logit model falls somewhere between regression and discriminant analysis in application.
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The first step in discriminant analysis is to formulate the problem by identifying the objectives, the criterion variable, and the independent variables.
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In discriminant analysis, the value of the coefficient for a particular predictor depends on the other predictors included in the discriminant function.
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When conducting discriminant analysis, the analysis sample is that part of the total sample used to check the results of the estimation sample.
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If you are using the direct method or stepwise discriminant analysis, you are at the step of conducting discriminant analysis.
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When the dependent variable is binary and there is one independent variable that is nonmetric, in addition to two- group discriminant analysis, one can also use OLS regression, logit, and probit models for estimation.
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In discriminant analysis, rejecting the null hypothesis means there is significant discrimination between groups.
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In discriminant analysis, there is no multicollinearity in the predictor variables. Therefore, there is no ambiguous measure of the relative importance of the predictors in discriminating between groups.
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Discriminant/logit analysis is similar to regression and ANOVA in which of the areas stated below (Table 18.1 in the text)?
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Discriminant/logit analysis is similar to regression and ANOVA in which of the areas stated below (Table 18.1 in the text)?
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The is a test of significance of the logistic regression coefficient based on the asymptotic normality property of maximum likelihood estimates.
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As one of the statistics associated with discriminant analysis, the _ (unstandardized) are the multipliers of variables when the variables are in the original units of measurement.
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The null hypothesis in discriminant analysis, that in the population, the means of all discriminant functions in all groups are not equal, can be statistically tested.
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The hit ratio is the number of variables found to be significant by the discriminant analysis.
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A characteristic profile is an aid to interpreting discriminant analysis results by describing each group in terms of the group means for the predictor variables..
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