Other Statistics & Math Interview Questions
Practice the exact questions companies are asking right now.
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Diagnose and fix linear regression violations
Given a linear model y = Xβ + ε on 10,000 observations: (a) State all Gauss–Markov assumptions and which are needed for BLUE vs inference. (b) Show wh...
Simulate via inverse transform and Gibbs
Inverse transform: (a) Derive an algorithm to simulate from the Logistic(μ, s) distribution using its CDF and inverse CDF; show how to obtain samples ...
Compute counts and pacing for verbal section
Verbal Section Allocation and Time Optimization You are designing a 15-minute verbal section (900 seconds total) with 19 questions across four subtype...
Apply Bayes theorem with conjugate priors
A website’s true daily purchase conversion p is unknown. Prior: p ~ Beta(2, 8). Day 1: 10 purchases out of 120 visits; Day 2: 18 purchases out of 150 ...
Compute p-values and adjust multiplicity
You test if a coin is fair after 20 flips and observe 17 heads. (a) Compute the exact two-sided p-value under a Binomial(20, 0.5) model. (b) Approxima...
Compare LLN and CLT with heavy tails
Explain the Law of Large Numbers vs the Central Limit Theorem, including their assumptions and convergence guarantees. Construct a concrete counterexa...
Interpret p=0.10 rigorously
A/B Test on Monthly Churn: Inference, Power, and Testing Choices You ran a 28-day A/B test to reduce monthly churn among subscribers, randomizing 150,...
Compute multi-step Markov probabilities and estimate transitions
Problem (Markov Chain) Assume a discrete-time Markov chain over a finite set of states \(S = \{s_1, \dots, s_n\}\). Part A — Multi-step transition pro...