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Understanding Significance

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Overview & learning objective

⏱ 25 min · This module is aimed at shop owners.

After completing this module, you'll be able to correctly interpret the p-value, confidence interval, and sample size of a test result, distinguish statistical significance from practical significance, and use the MDE to decide whether a significant winner actually justifies a rollout.

Prerequisites: A/B Testing for Non-Statisticians
Start

When is a test result truly reliable, and when is it just an illusion?

26 53 79 105 95 Certain 5 Chance
95% confidence as the decision threshold
Learning objective

Learning objective

You'll correctly interpret p-values, confidence intervals, and sample size.

  • You'll distinguish statistical significance from practical significance.
  • You'll spot common misinterpretations before they cost you money.
1
Check the p-value
2
Read the confidence interval
3
Assess the MDE
4
Make a decision
Self-check

Activate prior knowledge

What does it mean when a test is "99% significant"?

  • Why isn't a large uplift alone enough to justify a rollout?
Key Points

Activate prior knowledge

  • 1 What does it mean when a test is "99% significant"?
  • 2 Why isn't a large uplift alone enough to justify a rollout?
Concept

The p-value: a probability statement

The p-value answers this question: what's the probability of seeing the observed difference if there's actually no effect at all?

  • A p-value of 0.03 means a 3% probability that the result is due to chance.
  • A low p-value means the effect is likely real.
4 9 13 17 15 p = 0.15 5 p = 0.05 1 p = 0.01
The smaller the p-value, the lower the probability it's just chance
Concept

Why 95% is the JDKRUEGER&CO minimum

95% significance corresponds to a p-value of 0.05 or lower.

  • That means in only 5 out of 100 cases is chance fooling us.
  • Below that threshold, we consider the test not yet ready for a decision.
Certain 95 (95%) Chance 5 (5%)
95% confidence, 5% residual risk
Concept

Confidence intervals: where the true effect most likely lives

A 95% confidence interval gives you a range for the true effect.

  • Example: +3% with an interval of -1% to +7%.
  • If zero falls within the interval, the effect is not significant.
2 4 6 8 -1 Lower bound 3 Estimate 7 Upper bound
Confidence interval overlapping zero
Example

Example: two variants, different confidence levels

Variant A: 2.00% conversion rate, 1,000 conversions.

  • Variant B: 2.44% conversion rate, 1,100 conversions.
  • Result: +12% uplift, but p = 0.08. Not significant yet.
1 2 2 3 2 Variant A 2.24 Variant B
12% uplift without sufficient significance
Concept

Statistically significant doesn't automatically mean important

A +1% uplift can be statistically significant if you have enough data.

  • If the implementation costs €1,000 and the effect generates €500, it makes no economic sense.
  • Statistical significance only tells you that an effect is probably real. Not that it's large.
Statistical Certainty vs. Business Relevance
Concept

Practical Significance: When Does It Actually Count?

Practical significance asks: Does the effect justify the effort and the risk?

  • An MDE of fifteen percent defines the smallest economically relevant change.
  • Below the MDE, even a significant winner won't be rolled out.
1
Calculate the effect
2
Estimate costs
3
Assess the risk
4
Compare the MDE
Common misconception

Common Misinterpretations

Mistake one: Significance is the probability that the hypothesis is true.

  • Mistake two: A non-significant result proves that nothing happened.
  • Mistake three: The smaller the p-value, the larger the effect.
Three Dangerous Misconceptions About Significance
Concept

What Significance Definitely Does Not Mean

It doesn't mean that Variant B works better for 99% of all users.

  • It doesn't mean the effect will be just as large six months from now.
  • It doesn't mean the gain is guaranteed to repeat in the next quarter.
Significance Is No Guarantee for the Future
Concept

Sample Size: Why More Conversions Bring More Certainty

As the sample size grows, the confidence interval shrinks.

  • At 100 conversions per variant, the statistical power is low.
  • At 1,000 conversions per variant, the estimate becomes more stable.
275 550 825 1100 100 100conversions 500 500conversions 1000 1,000conversions
Growing Sample, Shrinking Interval
Interim check

Quick Check-In: What Have We Learned?

The p-value measures the probability of chance, not the probability of the hypothesis.

  • The confidence interval shows the range of the true effect.
  • Statistical significance alone is not enough to justify a rollout.
1
p-value
2
Interval
3
MDE
4
Business case
Scenario

Scenario: 88% Significance

A test shows a +15% uplift at 88% significance.

  • Management wants to roll it out immediately.
  • The right call: keep the test running until you reach 95% or the interval becomes clear.
26 53 79 105 88 Now 95 Goal
88% Is Not Yet a Basis for a Decision
Example

Example: Keeping MDE, Costs, and ROI in View

Baseline conversion: 3%. MDE: 15% relative.

  • The target is therefore an absolute increase to 3.45%.
  • Development and QA cost €8,000. The expected annual revenue uplift needs to be at least three times that.
1 2 3 4 3 Baseline 3.45 Goal afterMDE
Minimum Detectable Effect as an Economic Threshold
Concept

Alpha, Beta, and Power, Briefly Explained

Alpha is the error risk at five percent, which means the ninety-five percent confidence threshold.

  • Beta is the risk of missing a real effect, typically twenty percent.
  • A power of eighty percent means we detect a real effect in four out of five cases.
1
Alpha: false alarm
2
Beta: missed opportunity
3
Power: probability of detection
Concept

The Peeking Effect: Why Checking Daily Is Costly

Checking results every day and stopping at significance massively inflates your error risk.

  • With twenty looks at live data, the alpha level climbs well above five percent.
  • Fixed runtimes and pre-defined stopping rules protect against this mistake.
7 13 20 26 5 Change the three labels to '1 peek', '5 peeks', and '20 peeks'.Change the threelabels to '1 peek',… 12 5 looks 23 20 looks
More looks push the error risk above five percent
Exercise

Your Exercise: Evaluate a Test Result

Given: Variant B shows plus eight percent uplift, p = 0.03, n = eight hundred conversions per variant.

  • Check: Is the result statistically significant?
  • Check: What's missing to assess practical relevance?
1
Check the p-value
2
Check the interval
3
Check the MDE
4
Check the business case
Concept

When Is a Test Ready for a Decision?

At least ninety-five percent significance.

  • At least one hundred conversions per variant, preferably more.
  • The confidence interval falls entirely on the desired side of zero.
1
Significance >= 95%
2
Conversions >= 100
3
Interval clear
4
MDE reached
Summary

Summary: Reading Significance Correctly

The p-value measures the probability of a chance result, not the probability that the hypothesis is true.

  • Ninety-five percent significance and sufficient conversions are the JDKRUEGER&CO minimum.
  • Statistical significance without practical relevance doesn't justify a rollout.
1
Read the p-value
2
Check the interval
3
Assess the MDE
4
Make disciplined decisions
Summary

What You're Taking Away

Never look at uplift alone. Always check the p-value and the confidence interval too.

  • Compare the measured effect against the MDE you defined before the test.
  • Set your runtime and stopping rules before the test starts, and stick to them.
From Uplift to a Valid Decision
Intermediate step

The JDKRUEGER&CO Promise

We validate every test with ninety-five percent significance, clear confidence intervals, and a documented business case before anything goes live.

Measurable. Proven. Scalable.
Quiz

Quiz

Test your knowledge.

An A/B test shows a p-value of 0.03. What does this number actually tell you?

A 95% confidence interval for the uplift runs from -1% to +7%. What does that tell you?

A test reaches 99% significance with an uplift of +1%. Implementation and QA cost €10,000, and the expected annual revenue gain is €4,000. What do you do?

A team sets a significance threshold of 5% before starting a test. After two weeks, the variant shows what looks like a significant effect. What does the pre-set alpha level mean for how you evaluate this?

A team checks the live test data every morning and stops the test as soon as significance is reached. What problem does this create?

Exercise

Exercise

Apply what you have learned right away.

  • 1
    Evaluate the test result
    calculation · approx. 25 min
    Take a real or fictional test result with the following data: uplift in percent, p-value, lower and upper bound of the confidence interval, estimated implementation costs, and expected annual revenue uplift. Using the four criteria from this module, decide whether the test is ready for a decision and explain your reasoning in three sentences.
  • 2
    Peeking in your organization
    reflection · approx. 15 min
    or are tests stopped as soon as a result
Reflection

Reflection

A quick look back before you continue.

  • Would your last rolled-out test pass the threshold of ninety-five percent significance and enough conversions per variant?
  • Which guardrail metric (such as order value) do you need to track in your shop so that a conversion gain doesn't turn out to be a margin loss?
  • How would you explain to your management why an eighty-eight percent result can't be rolled out yet?
Feedback

Feedback

Was this module helpful for your shop?

Sources

Sources & further reading

Here you will find links and materials to explore the topic in more depth. Take your time.

No time to implement this yourself?

In the Dropoff Analysis, Jörg Dennis Krüger shows you where your shop loses buyers. His team builds the changes, each on a fixed delivery date.

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