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PSY207Formulae

# PSY207Formulae - PSY 207 Psychological Statistics M= =...

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1 PSY 207: Psychological Statistics Formula Sheet M = X n Sample Mean N X = μ Population Mean SS = ( X μ ) 2 Sum of Squared Deviations (Definitional; Population) SS = ( X M ) 2 Sum of Squared Deviations (Definitional; Sample) SS = X 2 ( X ) 2 N Sum of Squared Deviations (Computational; Population) SS = X 2 ( X ) 2 n Sum of Squared Deviations (Computational; Sample) σ 2 = SS N Population Variance σ = SS N Population Standard Deviation s 2 = SS n 1 Sample Variance s = SS n 1 Sample Standard Deviation z = X μ σ z -Score (for Raw Score) X = μ + z σ Raw Score (from z -Score) σ M = σ n Standard Error of the Mean z = M μ σ M z-Score (for Sample Mean) d = M μ σ Cohen’s d (for z -Scores) t = M μ s M t Test for a Single Sample s M = s 2 n = s n Estimated Standard Error (Single Sample) d = M μ s Cohen’s d (for t for Single Sample)

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2 r 2 = t 2 t 2 + df Proportion of Variance Accounted for t = M 1 M 2 ( ) μ 1 μ 2 ( ) s M 1 M s ( ) t Test for Two Independent Samples s ( M 1 M 2 ) = s p 2 n
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PSY207Formulae - PSY 207 Psychological Statistics M= =...

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