Section 11.5
Putting It Together: Which Method Do I Use?
A decision framework for choosing the correct two-sample inference procedure.
1
Two-Step Decision Framework
Step 1: Identify the Parameter
- • Proportion (p)
- • Mean (μ)
- • Standard Deviation (σ)
Step 2: Dependent or Independent?
- • Matched pairs → Dependent
- • Two separate groups → Independent
p
Comparing Two Proportions
Independent Proportions Z-Test
Section 11.1 • Use pooled p̄ for H₀: p₁ = p₂
μ
Comparing Two Means
Dependent (Matched-Pairs) t-Test
Section 11.2 • Work with differences d = x₁ - x₂
Independent Two-Sample t-Test
Section 11.3 • df = min(n₁-1, n₂-1) or Welch's
σ
Comparing Two Standard Deviations
F-Test for Two Variances
Section 11.4 • Strict normality required!
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