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Mathematics & Statistics

Inferential Statistics

Interview questions on Inferential Statistics.

7 questions

All subtopicsIntroductionPoint EstimationInterval EstimationHypothesis TestingInference for Relationship

Inference for Relationship

Q1. Variable correlation.

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  1. What happens to a regression model if two of their supposedly independent variables are strongly correlated?
  2. How do we test for independence between two categorical variables?
  3. How do we test for independence between two continuous variables?

Inference for Relationship

Q2. What is the difference between parametric and non-parametric tests in machine learning?

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Inference for Relationship

Q3. A/B testing is a method of comparing two versions of a solution against each other to determine which one performs better. What are some of the pros and cons of A/B testing?

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Inference for Relationship

Q4. You want to test which of the two ad placements on your website is better. How many visitors and/or how many times each ad is clicked do we need so that we can be $95%$ sure that one placement is better?

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Inference for Relationship

Q5. Your company runs a social network whose revenue comes from showing ads in newsfeeds. To double revenue, your coworker suggests that you should just double the number of ads shown. Is that a good idea? How do you find out?

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Inference for Relationship

Q6. Imagine that you have the prices of $10,000 stocks over the last 24-month period and you only have the price at the end of each month, which means you have 24 price points for each stock. After calculating the correlations of $10,000 * 9,9992$ pairs of stock, you found a pair that has a correlation to be above 0.8.

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  1. What’s the probability that this happens by chance?
  2. How to avoid this kind of accidental pattern?

Inference for Relationship

Q7. How are sufficient statistics and the Information Bottleneck Principle used in machine learning?

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