Bayesian Classifier Example on Football Game

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Questions and Answers

What is the main purpose of a Naive Bayes Classifier?

  • To identify a model that best fits the relationship between variables
  • To predict the class label of unknown records (correct)
  • To draw the decision boundary in the feature space
  • To calculate the Bayes Error Rate accurately

In a Naive Bayes Classifier, how is the relationship between variables X and class variable Y defined?

  • $P(Y|X)$: The conditional probability/posterior probability for Y (correct)
  • $P(X|Y)$: The likelihood of Y given X
  • $P(X)$: The prior probability of X
  • $P(Y)$: The posterior probability of Y

What is the purpose of Laplacian correction in a Naive Bayes Classifier?

  • To increase the prior probabilities for all classes
  • To reduce the Bayes Error Rate significantly
  • To adjust probabilities to avoid zero-probability issues (correct)
  • To draw the decision boundary more accurately

Which theorem is used for combining prior knowledge of classes with new evidence in a Naive Bayes Classifier?

<p>Bayes' Theorem (D)</p> Signup and view all the answers

What does the Bayes Error Rate represent in classification models?

<p>The highest possible error rate achievable by any classifier (D)</p> Signup and view all the answers

How does a Bayesian Classifier example differ from a non-Bayesian classifier?

<p>It assumes that data features are independent given the class label (C)</p> Signup and view all the answers

What is the objective of a Bayesian classifier?

<p>Predict class membership probabilities (D)</p> Signup and view all the answers

Why is the Naive Bayes Classifier considered 'naive'?

<p>It assumes class conditional independence of variables (D)</p> Signup and view all the answers

What does a Bayesian Classifier predict?

<p>Class membership probabilities (C)</p> Signup and view all the answers

In a Naive Bayes Classifier, how is the most likely class determined?

<p>The class with the highest probability is chosen (C)</p> Signup and view all the answers

Which assumption does the Naive Bayes Classifier make regarding variable effects?

<p>Assumes independence of variable effects on class (A)</p> Signup and view all the answers

In the Bayesian Classifier example provided, if Team B hosts the next match, which team is most likely to win?

<p>Team B (A)</p> Signup and view all the answers

What property of the naive Bayesian classifier makes computation of P(X|Ci) less expensive?

<p>Reduction in computation due to the class-conditional assumption (C)</p> Signup and view all the answers

Which technique in naive Bayesian classifiers can help handle the issue of class-conditional probability becoming zero?

<p>Laplacian correction (D)</p> Signup and view all the answers

What is Laplacian correction in the context of probability estimation?

<p>Adding one to the count in the computation of conditional probability (A)</p> Signup and view all the answers

Why does naive Bayesian classifier provide a theoretical justification for other non-Bayesian classifiers?

<p>From adopting the class-conditional assumption (A)</p> Signup and view all the answers

How do correlated variables affect the performance of naive Bayes classifiers?

<p>Degrade classifier performance (A)</p> Signup and view all the answers

In a Bayesian classifier example, when 'Marital status=Married' is never associated with 'Defaulted borrower class=Yes', what issue does this represent?

<p>'Martial status=Married' has zero class-conditional probability (B)</p> Signup and view all the answers

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