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results-interpretation Interpret statistical results correctly and comprehensively. Use when: (1) Writing results sections, (2) Discussing findings, (3) Avoiding common misinterpretations, (4) Reporting effect sizes and confidence intervals. Read, Write 1.0.0

Results Interpretation Skill

Purpose

Correctly interpret and report statistical findings with appropriate nuance.

Key Principles

1. Effect Size > p-value

  • Report effect sizes with 95% CI
  • Statistical significance ≠ practical importance

2. Confidence Intervals

  • Range of plausible values
  • Precision of estimate
  • If CI includes 0, not statistically significant

3. P-values

  • Probability of data given H0
  • NOT: Probability H0 is true
  • NOT: Probability of replication

4. Multiple Comparisons

  • Adjust alpha if running many tests
  • Distinguish primary vs exploratory

Correct Reporting

Example: "The intervention group showed higher scores (M=45.2, SD=8.3) than control (M=37.8, SD=9.1), t(98)=3.45, p<.001, d=0.69, 95% CI[0.29, 1.09]. This represents a medium-to-large effect."

Include:

  • Descriptive statistics
  • Test statistic and df
  • P-value
  • Effect size with CI
  • Interpretation

Version: 1.0.0