Interpret no significant difference from an experiment

Last updated: September 24, 2025

Quick Overview

An experiment shows conflicting results. What conclusions can you draw? What are the caveats?

Morgan Stanley
Statistics & Math
Data Scientist
Morgan Stanley
September 24, 2025
Data Scientist
Onsite
Statistics & Math
Easy

56

4

2,121 solved


An experiment shows conflicting results. What conclusions can you draw? What are the caveats?

Statistics questions at Morgan Stanley test your ability to reason quantitatively and design rigorous experiments. This Onsite question evaluates your understanding of statistical inference and its application to business decisions.

What the Interviewer Expects
  • State the correct formula or theorem with clear definitions
  • Apply the concept to the given scenario step by step
  • Interpret the result in plain language
  • Identify assumptions and when they might be violated
Key Topics to Cover
Conditional probability and Bayes theorem
Probability distributions
Power analysis and sample size calculation
Hypothesis testing (H0, H1, p-values)
Bayesian vs frequentist inference
How to Approach This
  1. Define your hypotheses (H0 and H1) clearly before performing any test.
  2. Calculate required sample size BEFORE running an experiment, using power analysis.
  3. Remember the Central Limit Theorem: sample means become approximately normal with large n.
  4. Watch for Simpson's paradox. Always segment data by key dimensions.
  5. Distinguish between statistical significance and practical significance.
Possible Follow-up Questions
  • How would you handle multiple comparisons?
  • What if the sample size is very small?
  • How would you design a follow-up experiment based on these results?
  • What alternative statistical method could you use here?
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Sample Answer
Problem Formulation

In the context of this experiment, we define our null hypothesis H0H_0 as 'there is no significant difference between the groups being tested', and our alternative hypothesis H1H_1 as 'there i...

Solution Approach

To analyze the conflicting results from the experiment, we will follow these steps:

  1. Calculate the test statistic based on the data (e.g., t-test, ANOVA).
  2. Compute the p-value corresponding to the...

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