Back to Lessons Effect Size vs P-Value 0 pts Module 3 · Lesson 1
Introduction

Effect Size vs P-Value

Why statistical significance isn't the same as clinical importance

What You Were Taught

p < 0.05 = significant = real finding = publish
p 0.05 = not significant = no effect = move on

What We're Going to Show You

That framework is incomplete at best, misleading at worst. By the end of this lesson, you'll understand why a p=0.001 result can be meaningless, and why a p=0.09 result might be the one that should change your practice.

Consider These Two Trials

Both tested Drug X for claudication. Look at the results:

Trial A

Patients
10,000
6-Min Walk Improvement
4 meters
P-Value
0.001

Trial B

Patients
80
6-Min Walk Improvement
85 meters
P-Value
0.09

Which drug works better? Which result should change your practice?

Hold that thought. We'll come back to it.

What the P-Value Actually Tells You

1

The definition

The p-value is the probability of seeing this result (or something more extreme) if the null hypothesis were true.

In other words: "If there's actually no difference, how often would we see data like this by chance?"

2

What it does NOT tell you

The p-value does not tell you:

• The probability that your finding is true
• The size of the effect
• Whether the effect matters clinically

3

The question it answers

"Is this likely due to chance?"

That's it. Nothing about importance. Nothing about magnitude.

The p-value answers the wrong question. You want to know if the effect matters. The p-value only tells you if it's probably real.

The Large-N Trap

With enough patients, any difference becomes statistically significant.

Same effect (2 mg/dL LDL reduction), different sample sizes:

N = 50
2 mg/dL drop
p = 0.40
N = 500
2 mg/dL drop
p = 0.08
N = 5,000
2 mg/dL drop
p = 0.003
N = 50,000
2 mg/dL drop
p < 0.001

The effect didn't change. Your certainty about a trivial effect increased.

The p-value is a function of sample size. Effect size is not.

Effect Size Is the Clinical Question

Effect size answers "how much?"—the question you actually care about.

1

Common effect size measures

• Absolute difference (e.g., 4 meters vs 85 meters)
• Relative risk or hazard ratio
• Number needed to treat (NNT)
• Odds ratio

2

Minimum Clinically Important Difference (MCID)

Below this threshold, who cares if it's significant?

For 6-minute walk distance in PAD: the MCID is roughly 30-50 meters.

A 4-meter improvement? Statistically significant noise.

The question to always ask:

"Is this difference big enough to change what I do for my patient?"

If the answer is no, the p-value is irrelevant.

Confidence Intervals Give You Everything

The 95% CI is more informative than the p-value alone.

1

Point estimate = effect size

The middle of the CI is your best guess at the true effect.

2

Width = precision

Narrow CI = large sample, precise estimate.
Wide CI = small sample, uncertain estimate.

3

Crossing the null = not significant

If the 95% CI for a difference includes zero (or 1.0 for ratios), p > 0.05.

If the entire CI falls within a clinically meaningless range, the study is definitively negative—even if p < 0.05.

Example

A study shows: Effect: 2 mg/dL, 95% CI: 1.5 to 2.5, p < 0.001

The entire confidence interval is below any meaningful LDL reduction. This is a confident null—we're certain the effect is too small to matter.

Exercise: Significant or Important?

Classify each scenario into one of four categories.

Significant AND Important
Significant but NOT Important
Not Significant but Potentially Important
Neither
Question 1 of 8

Back to Our Two Trials

Trial A

Patients
10,000
6-Min Walk Improvement
4 meters
P-Value
0.001

Trial B

Patients
80
6-Min Walk Improvement
85 meters
P-Value
0.09

Now you can answer:

Trial A is statistically significant but not clinically important. A 4-meter improvement is far below the MCID of 30-50 meters. With 10,000 patients, you've achieved high confidence in a trivial effect.

Trial B is not statistically significant but potentially important. An 85-meter improvement is clinically meaningful—nearly double the MCID. The p=0.09 reflects an underpowered study, not an absent effect.

Trial B should influence your thinking more. It suggests a meaningful effect that deserves a larger study.

The Bottom Line

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  • P-value tells you about chance, not importance. A small p-value means you're confident the effect isn't zero—not that it matters.
  • Always ask: "How big is the effect? Is that big enough to matter?" If the effect is below the MCID, significance is irrelevant.
  • A confident null is more informative than a shaky significant result. A tight CI around zero tells you more than a wide CI that barely excludes it.
  • Look at the confidence interval. It gives you effect size, precision, and significance in one measure.

You Now Know

How to look past p-values and evaluate what a study actually found. You won't be fooled by significant-but-trivial results, and you'll recognize potentially important findings that failed to reach significance due to sample size.