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</p> Signup and view all the answers

    What is the purpose of a confusion matrix?

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

    What approach to classification is mentioned in the text?

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

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

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

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

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

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

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

    What should you check before performing LDA?

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

    Who originally developed discriminant analysis in 1936?

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

    What type of predictor variables can discriminant analysis work with?

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

    When can logistic regression be used?

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

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