Casio FX-CG10 Software User Guide - Page 261
Statistic Formula
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9. Statistic Formula k Test Test 1-Sample Z Test 2-Sample Z Test 1-Prop Z Test 2-Prop Z Test 1-Sample t Test z = (o - μ0)/(σ/'n ) z = (o1 - o2)/ (σ 12/n1) + (σ 22/n2) z = (x/n - p0)/ p0(1 - p0)/n z = (x1/n1 - x2/n2)/ pˆ (1 - pˆ )(1/n1 + 1/n2) t = (o - μ0)/(sx/'n ) 2-Sample t Test (pooled) t = (o1 - o2)/ sp2(1/n1 + 1/n2) sp = ((n1 - 1)sx12 + (n2 - 1)sx22)/(n1 + n2 - 2) df = n1 + n2 − 2 t = (o1 - o2)/ sx12/n1 + sx22/n2 2-Sample t Test (not pooled) df = 1/(C2/(n1 - 1) + (1 - C )2/(n2 - 1)) C = (sx12/n1)/(sx12/n1 + sx22/n2) LinearReg t Test χ2 GOF Test χ2 two-way Test n n b = Σ(xi - o)(yi - p)/Σ(xi - o)2 a = p - bo i=1 i=1 t = r (n - 2)/(1 - r2) k Σ χ2 = (Oi − Ei)2/Ei i Oi: The i-th element of the observed list Ei: The i-th element of the expected list kR Σ Σ χ2 = (Oij − Eij)2/Eij ij Oij: The element at row i, column j of the observed matrix Σ Σ Σ Σ k R kR Eij = Oij • Oij / Oij i=1 j=1 i=1 j=1 Eij: The element at row i, column j of the expected matrix 2-Sample F Test ANOVA Test F = sx12/sx22 F = MS/MSe MS = SS/Fdf MSe = SSe/Edf k SS = Σ ni (oi − o)2 i=1 Fdf = k − 1 k Σ SSe = (ni - 1)sxi2 i=1 k Edf = Σ (ni - 1) i=1 6-68