Casio fx-CG20 9. Statistic Formula, kTest

9. Statistic FormulakTest

Test
1-Sample Z Test	z = (o – μ0)/(σ/'n )
2-Sample Z Test	z = (o1 – o2)/		(σ 12/n1) + (σ 22/n2)
1-Prop Z Test	z = (x/n – p0)/		p0(1 – p0)/n
2-Prop Z Test	z = (x1/n1 – x2/n2)/			pˆ (1 – pˆ )(1/n1 + 1/n2)
1-Sample t Test	t = (o – μ0)/(sx/'n )
	t = (o1 – o2)/ sp2(1/n1 + 1/n2)
2-Sample t Test (pooled)	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)
	n			n
	b = Σ(xi – o)(yi – p)/Σ(xi – o)2					a = p – bo
LinearReg t Test	i=1			i=1
	t = r n – 2)/(1 – r2)
					Oi: The i-th element of the
χ2 GOF Test	k					observed list
	χ2 = Σ(Oi − Ei)2 /Ei				Ei: The i-th element of the
	i
						expected list
	k	R			Oij: The element at row i, column
	χ2 = ΣΣ(Oij		− Eij)2 /Eij
χ2 two-way Test	i	j				j of the observed matrix
	k	R		k R	Eij: The element at row i, column
	Eij = ΣOij • ΣOij /			Σ ΣOij
	i=1	j=1		i=1 j=1		j of the expected matrix
2-Sample F Test	F = sx12/sx22
	F = MS/MSe		MS = SS/Fdf			MSe = SSe/Edf
	k				k
ANOVA Test	SS = Σni (oi − o)2			SSe = Σ(ni – 1)sxi2
	i=1				i=1
					k
	Fdf = k − 1			Edf = Σ(ni – 1)
					i=1

6-68