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Midterm

# Test statistic, p-values, bivariate categorical data

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Department
Statistics
Course
STAT 301
Professor
Brett Hunter
Semester
Fall

Description
26 October Test Statistic k 2 2 (observedcount −exiected count ) i X = ∑ expectedcount i=1 i 2 X has an approximately chi-squared distribution with df = k – 1 (for k categories), assuming a large sample size (expected counts ≥ 5 in each category) 2 2 2 Notation: X ~ χ (k – 1) ≡ χ k - 1 The chi-squared distribution Is positively (or right) skewed 2 Is always non-negative (X ≥ 0) Has a shape determined by the degrees of freedom. It approaches a normal distribution as the degrees of freedom increase. P-values P-values = P(χ k – 1 X )
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