Understanding P-Values in Research: Interpretation of P < 0.05
A p-value less than 0.05 indicates a significant result that would have happened only 5/100 times through chance alone. 1
What P-Values Mean
P-values represent the probability of obtaining a result at least as extreme as what was observed when the null hypothesis is true. 1 This statistical measure helps researchers determine if their findings are likely due to chance or represent a true effect.
When interpreting p-values:
- A p-value < 0.05 means there is less than a 5% probability (5 out of 100) that the observed difference occurred by chance alone 1
- Small p-values provide evidence against the null hypothesis (of no difference or no effect) 1
- The smaller the p-value, the stronger the evidence against the null hypothesis 1
Significance Thresholds and Interpretation
The conventional threshold for statistical significance is p < 0.05, though this is somewhat arbitrary:
- P-values between 0.05 and 0.01 represent modest evidence against the null hypothesis 1
- P-values < 0.001 represent strong evidence against the null hypothesis 1
- When p < 0.05, we reject the null hypothesis and consider the result "statistically significant" 2
Common Pitfalls in P-Value Interpretation
It's important to avoid these common misunderstandings:
- A p-value does not measure the size or clinical importance of an effect 3
- Statistical significance (p < 0.05) does not automatically mean clinical significance 3
- P-values should not be used as a crude decision-making tool that categorizes results as simply "positive" or "negative" 1
- P-values should be reported precisely (e.g., p = 0.03) rather than just stating p < 0.05 1
Beyond P-Values: Complete Statistical Reporting
For comprehensive interpretation of research findings:
- Effect sizes should be reported alongside p-values to understand the magnitude of differences 3
- Confidence intervals provide information about the precision of the estimated effect 3
- Point estimates (mean differences, odds ratios, hazard ratios) give the actual measured effect 1
Application to Clinical Decision-Making
When evaluating research for clinical application:
- Consider both statistical significance (p < 0.05) and clinical significance (meaningful impact on patient outcomes) 2
- Evaluate the quality and design of the study, not just the p-value 1
- Remember that a single study with p < 0.05 doesn't provide definitive proof 2
Conclusion for AGACNP Interpretation
When an AGACNP reads a research report with p < 0.05, they should conclude that:
- The result is statistically significant 1
- The finding would occur by chance alone only 5 out of 100 times (or less) 1, 2
- The evidence suggests rejecting the null hypothesis of no difference 1
- Further evaluation of effect size and clinical significance is still necessary 3
Therefore, option D is correct: "A significant result that would have happened only 5/100 times through chance."