What you are given
- Group A: 5.1, 5.4, 4.9, 5.2
- Group B: 6.2, 6.0, 6.5, 6.3
Formula: t = (x̄_A − x̄_B) / √(s_A²/n_A + s_B²/n_B)
Statistics
How do you calculate significance quick-test (t)?
Welch's t-test for two groups: p-value, effect size, and a plain verdict. The relationship used is t = (x̄_A − x̄_B) / √(s_A²/n_A + s_B²/n_B).
Worked example
Every number below is computed by the calculator, not typed in
The working
- Means:
A vs B=5.15 vs 6.25 - t:
Δ / SE=-7.473 - df (Welch):
Satterthwaite=6 - p (two-tailed):
Student t=0 - Cohen's d:
Δ / pooled SD=-5.284
p = 0 (a significant difference at α = 0.05)
Do it with your own numbers.
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