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A/B Testing

Algorithms

Analytics

Machine Learning

Probability

Product Metrics

Python

Statistics

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You have a function that outputs a random integer between a minimum value, \(N\), and a maximum value, \(M\). Call this function \(X\).

Take the output from the random integer function and place it into another random function as the max value with the same min value \(N\). This second function you can call \(Y\).

<ol>
<li>What would the distribution of the samples look like?</li>

<li>What would be the expected value?</li>
</ol>

Given a function that outputs a random integer between a min value N and a max value M, and then uses the output as the max value for a second function with the same min N, what is the expected value?

Given a function that outputs a random integer between a min value N and a max value M, and then uses the output as the max value for a second function with the same min N, what is the expected value?

Random Seed Function I

What does the Law of Iterated Expectation state for two random variables X and Y?

What does the Law of Iterated Expectation state for two random variables X and Y?

Random Seed Function II

Random Seed Function

Suppose there exists a new airline named Jetco that flies domestically across North America. Jetco recently had a study commissioned that tested the boarding time of every airline, and it came out that Jetco had the fastest average boarding times of any airline.

What factors could have biased this result, and what would you look into?

What could potentially bias the average boarding time in favor of an airline that only flies domestically?

What could potentially bias the average boarding time in favor of an airline that only flies domestically?

Boarding Times Bias

A new airline came out as the fastest average boarding times compared to other airlines.  What factors could have biased this result and what would you look into?

You are testing hundreds of hypotheses with many t-tests. What considerations should be made?

What is a key disadvantage of the F-test when compared to multiple t-tests?

What is a key disadvantage of the F-test when compared to multiple t-tests?

Hundreds of Hypotheses

You are testing hundreds of hypotheses with many t-tests. What considerations should be made?

Question	Topic	Difficulty	Ask Chance
Random Seed Function	Probability	Medium	Very High
Boarding Times Bias	Statistics	Medium	Low
Hundreds of Hypotheses	Statistics	Medium	Low