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Download A Teacher's Guide to The Struggle against Slavery: A History by Diane N. Palmer PDF

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By Diane N. Palmer

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0000 THE t-DISTRIBUTION The function tabulated is the inverse cumulative distribution function of Student’s t-distribution having ν degrees of freedom. It is defined by 1 Γ( 12 ν + 12 ) P =√ νπ Γ( 12 ν) x −∞ 1 (1 + t2 /ν)− 2 (ν+1) dt. (X ≤ x) = P . 291 THE χ2 (CHI-SQUARED) DISTRIBUTION The function tabulated is the inverse cumulative distribution function of a Chisquared distribution having ν degrees of freedom. It is defined by x 1 1 1 P = u 2 ν−1 e− 2 u du. (X ≤ x) = P . For √ √ ν > 100, 2X is approximately normally distributed with mean 2ν − 1 and unit variance.

For √ √ ν > 100, 2X is approximately normally distributed with mean 2ν − 1 and unit variance.

60 1 NORMAL DISTRIBUTION The function tabulated is the cumulative distribution function of a standard N (0, 1) random variable, namely x 1 2 1 Φ(x) = √ e− 2 t dt. (X ≤ x). 0000 THE t-DISTRIBUTION The function tabulated is the inverse cumulative distribution function of Student’s t-distribution having ν degrees of freedom. It is defined by 1 Γ( 12 ν + 12 ) P =√ νπ Γ( 12 ν) x −∞ 1 (1 + t2 /ν)− 2 (ν+1) dt. (X ≤ x) = P . 291 THE χ2 (CHI-SQUARED) DISTRIBUTION The function tabulated is the inverse cumulative distribution function of a Chisquared distribution having ν degrees of freedom.

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