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Apply Multiple Testing Corrections for Valid Results Analysis

Last updated: Mar 29, 2026

Quick Overview

This question evaluates competency in statistical inference for experimentation, focusing on multiple testing corrections, interpretation of parallel A/B test outcomes, and the distinction between controlling family-wise error rate and false discovery rate.

  • medium
  • Attentive
  • Analytics & Experimentation
  • Data Scientist

Apply Multiple Testing Corrections for Valid Results Analysis

Company: Attentive

Role: Data Scientist

Category: Analytics & Experimentation

Difficulty: medium

Interview Round: Technical Screen

##### Scenario A new message-sending feature is A/B-tested separately inside 30 companies (50/50 split, α = 0. 05). Results show 2 significant uplifts, 1 significant decline, and the rest are not significant. ##### Question What conclusions, if any, can you draw from these results? How should multiple testing be addressed, and which correction methods (e.g., Bonferroni, Benjamini–Hochberg) would you apply before declaring the feature effective? ##### Hints Compare expected false positives (30 × 0. 05) with observed, discuss family-wise vs. FDR control, and explain implications for rollout decisions.

Quick Answer: This question evaluates competency in statistical inference for experimentation, focusing on multiple testing corrections, interpretation of parallel A/B test outcomes, and the distinction between controlling family-wise error rate and false discovery rate.

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Attentive
Aug 4, 2025, 10:55 AM
Data Scientist
Technical Screen
Analytics & Experimentation
79
0

Interpreting 30 Parallel A/B Tests With Mixed Results

Context

  • You ran 30 independent within-company A/B tests of a new message-sending feature (50/50 split).
  • Per-test significance level: α = 0.05 (assume two-sided unless pre-specified otherwise).
  • Outcomes: 2 significant uplifts, 1 significant decline, and 27 non-significant effects.

Tasks

  1. What conclusions can you draw from these results before and after accounting for multiple testing?
  2. How should multiple testing be addressed (family-wise error vs. false discovery rate), and which correction methods (e.g., Bonferroni, Holm, Benjamini–Hochberg) would you apply before declaring the feature effective?
  3. What are the implications for rollout decisions?

Hint: Compare expected false positives (30 × 0.05) with observed, discuss family-wise vs. FDR control, and explain implications for rollout decisions.

Solution

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