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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What does the likelihood function represent?
💡 Hint: Think about what we want to evaluate regarding data and models.
Question 2
Easy
Define log-likelihood.
💡 Hint: Consider how logarithms are used to transform products into sums.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What does the likelihood function measure?
- Probability of parameters given the data
- Probability of data given the parameters
- Complexity of the model
💡 Hint: Focus on the direction of probability.
Question 2
True or False? The log-likelihood can be used to simplify the calculation process in maximum likelihood estimation.
- True
- False
💡 Hint: Consider how switching to logs affects multiplication.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
You have a dataset with an equal number of binary outcomes (e.g., success and failure). Explain how you would use maximum likelihood estimation to quantify the success rate.
💡 Hint: Focus on calculating the proportion from your dataset.
Question 2
Given a scenario where you have multiple model candidates judging the same dataset, describe how you would use AIC and BIC to determine the best model.
💡 Hint: Remember to balance model complexity with fit!
Challenge and get performance evaluation