Multivariate Analysis: Discrimination and Classification

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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)?

c21p2 + c12p1 Signup and view all the answers

What is the purpose of a confusion matrix?

To evaluate the classification rule Signup and view all the answers

What approach to classification is mentioned in the text?

Fisher's approach Signup and view all the answers

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

The population covariance matrices are equal. Signup and view all the answers

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

To maximize the separation between classes. Signup and view all the answers

When should you transform your predictor variables before performing LDA?

When the predictors are not normally distributed. Signup and view all the answers

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

Remove outliers and standardize them. Signup and view all the answers

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

To predict the class of a given observation. Signup and view all the answers

What should you check before performing LDA?

The normality of the predictor variables. Signup and view all the answers

Who originally developed discriminant analysis in 1936?

R A Fisher Signup and view all the answers

What is the main purpose of discriminant analysis?

To predict the probability of belonging to a given class Signup and view all the answers

What type of predictor variables can discriminant analysis work with?

Both continuous and categorical predictor variables Signup and view all the answers

When can logistic regression be used?

For binary classification problems Signup and view all the answers

What is the goal of classification in discriminant analysis?

To allocate objects into 2 or more labeled classes Signup and view all the answers

What is the advantage of discriminant analysis over logistic regression?

Discriminant analysis can handle more than two classes Signup and view all the answers

Multivariate Analysis: Discrimination and Classification

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Questions and Answers

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

What is represented by 𝝅𝟏 and 𝝅𝟐 in the text?

What is the purpose of evaluating a classification rule?

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

What is the purpose of a confusion matrix?

What approach to classification is mentioned in the text?

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

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

When should you transform your predictor variables before performing LDA?

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

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

What should you check before performing LDA?

Who originally developed discriminant analysis in 1936?

What is the main purpose of discriminant analysis?

What type of predictor variables can discriminant analysis work with?

When can logistic regression be used?

What is the goal of classification in discriminant analysis?

What is the advantage of discriminant analysis over logistic regression?

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