Chi-Square Goodness of Fit

STA-215 · Semester III · Statistics II

Chi-square Goodness of Fit

Do observed counts match the expected distribution?

Observed (Oᵢ)

Expected (Eᵢ)

df = categories − 1 = 1. Add/remove categories by toggling — but chi-square needs Eᵢ ≥ 5 to be valid.

χ² statistic

1.440

Σ (Oᵢ − Eᵢ)² / Eᵢ, df = 1

Fail to reject H₀ — 1.44 ≤ 3.84: fit is plausible.

Critical χ²(0.05, df=1) = 3.84.