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Formula_ttests comparison-1

Formula_ttests comparison-1 - Comparison among t Tests 1...

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Comparison among t Tests 1 sample 2 independent samples 2 dependent samples Mean n X M = n X M 1 1 1 = ; n X M 2 2 2 = n D M D = Estimation of σ s s p s SS (Sum of Squares) Definitional formula: = 2 ) ( M X SS Computational formula: SS = X 2 X ( ) 2 n Definitional formula: SS = ( D M D ) 2 Computational formula: SS = D 2 D ( ) 2 n Standard Deviation s = SS n 1 2 1 2 1 df df SS SS s p + + = s = SS n 1 Variance 1 2 = n SS s 2 1 2 1 2 df df SS SS s p + + = 1 2 = n SS s Standard Error n s s M = 2 2 1 2 ) ( 2 1 n s n s s p p M M + = n s s D M = Statistic t = M μ s M ) ( 2 1 2 1 2 1 ) ( ) ( M M s M M t = μ μ D M D D s M t μ = Reference t Table Level of significance ( α ) Two-tailed or one-tailed Degrees of freedom (df) = n-1 t Table Level of significance ( α ) Two-tailed or one-tailed
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