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Data Interview Question

Sign-Up Funnel A/B Testing

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Solution & Explanation

1. Understand the Objective & Context:

  • The primary goal is to increase the click-through rate (CTR) by modifying the button's color and position on a sign-up funnel page.
  • The experiment involves testing two independent variables: button color (red vs. blue) and button position (top vs. bottom).

2. Experiment Design:

  • Identify Variants: Since there are two independent variables, a 2x2 factorial design is appropriate. This results in four combinations:
    • Variant 1: Red button - Top of the page (Control)
    • Variant 2: Red button - Bottom of the page
    • Variant 3: Blue button - Top of the page
    • Variant 4: Blue button - Bottom of the page
  • Hypotheses:
    • Null Hypothesis (H0): Changes in button color and/or position do not affect the CTR.
    • Alternative Hypothesis (H1): Changes in button color and/or position affect the CTR.

3. Statistical Considerations:

  • Significance Level (α): Typically set at 0.05, meaning a 5% risk of concluding that a difference exists when there is none.
  • Power (1-β): Usually set at 0.8, indicating an 80% probability of detecting a true effect.
  • Minimum Detectable Effect (MDE): Determine the smallest effect size that would be practically significant for the business.
  • Sample Size Calculation: Use power analysis to calculate the required sample size for each variant to ensure results are statistically significant. Consider using tools or statistical software for precise calculations.

4. Randomization & Execution:

  • Random Assignment: Ensure users are randomly assigned to one of the four variants to avoid selection bias.
  • Duration: Run the experiment long enough to collect sufficient data to reach statistical significance, accounting for daily traffic variations.

5. Data Collection & Analysis:

  • Metrics: Track CTR as the primary metric. Consider secondary metrics like bounce rate and conversion rate to provide context.
  • Data Analysis:
    • Use statistical tests (e.g., ANOVA) to determine if there are significant differences between variants.
    • Consider interaction effects between button color and position.
    • Apply corrections for multiple comparisons if necessary (e.g., Bonferroni correction).

6. Addressing Potential Biases:

  • Novelty Effect: Users might initially react positively to changes simply because they are new. Consider running the test long enough to mitigate this effect.
  • Change Aversion: Users might resist changes initially, affecting short-term results.

7. Interpretation & Recommendations:

  • Analyze Results: Determine which variant(s) significantly improve CTR compared to the control.
  • Make Data-Driven Decisions: Recommend implementing the variant that maximizes CTR while considering business implications and user experience.

8. Reporting & Next Steps:

  • Document Findings: Clearly communicate the experiment's results, methodology, and implications.
  • Iterate: Use insights to inform future tests, potentially exploring other elements of the sign-up funnel for optimization.