Multivariate Analysis: Discrimination and Classification
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Questions and Answers

What is the primary goal of assigning new objects to labeled classes?

  • To derive a function or rule (correct)
  • To separate two populations
  • To evaluate the classification procedure
  • To calculate the cost of misclassification

What is represented by 𝝅𝟏 and 𝝅𝟐 in the text?

  • The probabilities of misclassification
  • The random variables
  • The populations being classified (correct)
  • The cost of misclassification

What is the purpose of evaluating a classification rule?

  • To result in few misclassifications (correct)
  • To minimize the cost of misclassification
  • To compare two populations
  • To maximize the number of misclassifications

What is the formula for the expected cost of misclassification (ECM)?

<p>c21p2 + c12p1 (B)</p> Signup and view all the answers

What is the purpose of a confusion matrix?

<p>To evaluate the classification rule (C)</p> Signup and view all the answers

What approach to classification is mentioned in the text?

<p>Fisher's approach (B)</p> Signup and view all the answers

What is a key assumption of Linear Discriminant Analysis (LDA)?

<p>The population covariance matrices are equal. (A)</p> Signup and view all the answers

What is the goal of Linear Discriminant Analysis (LDA)?

<p>To maximize the separation between classes. (C)</p> Signup and view all the answers

When should you transform your predictor variables before performing LDA?

<p>When the predictors are not normally distributed. (D)</p> Signup and view all the answers

What should you do to the predictor variables before performing LDA?

<p>Remove outliers and standardize them. (B)</p> Signup and view all the answers

What is the purpose of finding linear combinations of predictors in LDA?

<p>To predict the class of a given observation. (C)</p> Signup and view all the answers

What should you check before performing LDA?

<p>The normality of the predictor variables. (D)</p> Signup and view all the answers

Who originally developed discriminant analysis in 1936?

<p>R A Fisher (D)</p> Signup and view all the answers

What is the main purpose of discriminant analysis?

<p>To predict the probability of belonging to a given class (D)</p> Signup and view all the answers

What type of predictor variables can discriminant analysis work with?

<p>Both continuous and categorical predictor variables (A)</p> Signup and view all the answers

When can logistic regression be used?

<p>For binary classification problems (D)</p> Signup and view all the answers

What is the goal of classification in discriminant analysis?

<p>To allocate objects into 2 or more labeled classes (B)</p> Signup and view all the answers

What is the advantage of discriminant analysis over logistic regression?

<p>Discriminant analysis can handle more than two classes (D)</p> Signup and view all the answers

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