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In: Statistics and Probability

Circle the letter of the best answer. Discriminant functions are: Linear combinations of the original (predictor)...

Circle the letter of the best answer.

  1. Discriminant functions are:
  1. Linear combinations of the original (predictor) variables that maximize the between-to-within association, as measured by the sum-of-squares and cross-products (SSCP) matrices.
  2. Uncorrelated linear combinations of the original (predictor) variables that maximize the between-to-within association, as measured by the sum-of-squares and cross-products (SSCP) matrices.
  3. Correlated linear combinations of the original (predictor) variables that maximize the between-to-within association, as measured by the sum-of-squares and cross-products (SSCP) matrices.
  4. Uncorrelated linear combinations of the original dependent variables that maximize the between-to-within association, as measured by the sum-of-squares and cross-products (SSCP) matrices.
  1. The logic behind discriminant analysis involves finding:
  1. The function with the smallest eigenvalue.
  2. The function with the largest eigenvalue.
  3. Discriminant functions that are related.
  4. None of the above.
  1. A discriminant analysis output typically has four parts. Which one of the four described below is incorrect?
  1. Preliminary statistics that describe group membership and covariances.
  2. Significance tests and strength of relationship statistics for each discriminant function.
  3. Discriminant function coefficients.
  4. Group classification.
  1. Discriminant analysis produces a series of preliminary statistics that assist in interpreting the overall analysis results, which include all but which of the following?
  1. Table of means and standard deviations for each DV by group.
  2. ANOVA analysis testing for group differences among the IVs.
  3. Covariance matrices.
  4. Box’s test.
  1. The final step in the interpretation of discriminant analysis results is to:
  1. Determine the extent to which group differences support the functions generated by reviewing group variance for each function as presented in the table of Functions at Group centroids.
  2. Determine the extent to which group differences support the functions generated by reviewing group means for each function as presented in the table of Functions at Group centroids.
  3. Determine the extent to which groups support the functions generated by reviewing group means for each function as presented in the table of Functions at Group centroids.
  4. Determine the extent to which groups support the functions generated by reviewing group variance for each function as presented in the table of Functions at Group centroids.

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