nsxr 1 n016xi022x2sps n101s21n201s22 n101n201yb0b1xb16xi022xyi022y 6xi022x2b022y0b122xr1 n01618xi022x ID: 823907
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APStatisticsFormulaSheetFormulas(I)Descr
APStatisticsFormulaSheetFormulas(I)DescriptiveStatisticsx=xinsx=r1n�1(xi�x)2sp=s(n1�1)s21+(n2�1)s22(n1�1)+(n2�1)^y=b0+b1xb1=(xi�x)(yi�y)(xi�x)2b0=y�b1xr=1n�1xi�xsxyi�ysyb1=rsysxsb1=r(yi�^yi)2n�2p(xi�x)21(II)ProbabilityP(A[B)=P(A)+P(B)�P(A\B)P(AjB)=P(A\B)P(B)E(X)=x=xipiVar(X)=2x=(xi&
#0;x)2piIfXhasabinomialdistribution
#0;x)2piIfXhasabinomialdistributionwithparametersnandp,then:P(X=k)=nkpk(1�p)n�kx=npx=pnp(1�p)^p=p^p=rp(1�p)nIfxisthemeanofarandomsampleofsizenfromaninnitepopulationwithmeanandstandarddeviation,then:x=x=pn2(III)InferentialStatisticsStandardizedteststatistic:estimate�parameterstandarddeviationofestimateCondenceinterval:estimate(criticalvalue)(sta
ndarddeviationofestimate)Single-SampleS
ndarddeviationofestimate)Single-SampleStatisticStandardDeviationMeanpnProportionrp(1�p)nTwo-SampleStatisticStandardDeviationDi erenceofmeans(unequalvariances)r21n1+22n2Di erenceofmeans(equalvariances)r1n1+1n2Di erenceofproportions(unequalvariances)rp1(1�p1)n1+p2(1�p2)n2Di erenceofproportions(equalvariances)pp(1�p)r1n1+1n2Chi-squareteststatistic=X(observed�expected)2expecte