Hard-level statistics interview questions covering advanced inference, multiple comparisons, non-parametric methods, and complex experimental design. Q1: Explain the multiple comparisons problem and how to address it. Answer: The Problem When testing multiple hypotheses simultaneously, probability of at least one Type …

Medium-level statistics interview questions covering hypothesis testing, regression analysis, and statistical inference. Q1: Explain hypothesis testing: null hypothesis, alternative hypothesis, p-value, and significance level. Answer: Key Concepts Null Hypothesis (H₀): Statement being tested (usually "no …

Visual guide to Bayesian reasoning and updating beliefs with evidence. Formula $$ P(H|E) = \frac{P(E|H) \cdot P(H)}{P(E)} $$ $P(H|E)$: Posterior (probability of hypothesis given evidence) $P(E|H)$: Likelihood (probability of evidence given hypothesis) $P(H)$: Prior (initial probability of hypothesis) $P(E)$: Marginal …