I knew the textbook answer here but fumbled explaining it cleanly.
Start by defining statistical significance and practical significance, then explain how large sample sizes can make tiny effects statistically significant. Use a concrete example to illustrate the difference, and emphasize the importance of effect size and business impact.
Pro tip: Always tie statistical significance back to business metrics—ask 'so what?' and quantify the impact in terms of revenue, user engagement, or other KPIs. This shows you think like a product analyst, not just a statistician.
Clearly distinguish between statistical significance (probability the result is not due to chance) and practical significance (whether the effect is large enough to matter in the real world).
Highlight that with very large samples, even trivial effects can become statistically significant because the standard error shrinks. This is common in big tech companies like Google.
Discuss how effect size (e.g., Cohen's d, relative lift) and confidence intervals provide a range of plausible effects, helping assess practical relevance.
Translate the effect into business terms: does a 0.1% increase in click-through rate justify the engineering cost? Consider implementation costs, opportunity costs, and strategic alignment.
Illustrate with a scenario: e.g., a new feature increases average revenue per user by $0.01, statistically significant with millions of users, but the cost to build and maintain it far exceeds the gain.
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