sas_stat

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TDistributionFunction ContentsIndex probt(x,df,nc)returnsthevalueofthedistributionfunctionofthetdistribut ionwithdfdegreesoffreedomandoptionalnon-centralityparameternc.Ifnot specified,nc=0.ncisthevalueofthemean.Examples: y=probt(1.96,10); z=probt(1.96,10,3); TDistributionQuantiles ContentsIndex tinv(p,df,nc)returnsthepthquantile,0<p<1,ofthetdistributionwithdfdeg reesoffreedomandoptionalnon-centralitync.Ifnotspecifiednc=0.ncisthe valueofthemean.Examples: y=tinv(.95,10); z=tinv(.95,10,5); NormalDistributionFunction ContentsIndex probnorm(x)returnsthevalueofthedistributionfunctionofthestandardnorma ldistribution.Example: y=probnorm(1.96); NormalDistributionQuantiles ContentsIndex probit(p)returnsthepthquantile,0<p<1,ofthestandardnormaldistribution. Example: y=probit(.975); FDistributionFunction ContentsIndex probf(x,ndf,ddf,nc)returnsthevalueofthedistributionfunctionoftheFdist ributionwithndfnumeratordegreesoffreedom,ddfdenominatordegreesoffreed om,andoptionalnon-centralityparameternc.Ifnotspecified,nc=0.ncisthe sumofthesquaresofthemeans.Examples: y=probf(3.57,4,12); z=probf(3.57,4,12,2); FDistributionQuantiles ContentsIndex

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TDistributionFunction

ContentsIndex

probt(x,df,nc)returnsthevalueofthedistributionfunctionofthetdistributionwithdfdegreesoffreedomandoptionalnon-centralityparameternc.Ifnotspecified,nc=0.ncisthevalueofthemean.Examples:

y=probt(1.96,10);z=probt(1.96,10,3);

TDistributionQuantiles

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tinv(p,df,nc)returnsthepthquantile,0<p<1,ofthetdistributionwithdfdegreesoffreedomandoptionalnon-centralitync.Ifnotspecifiednc=0.ncisthevalueofthemean.Examples:

y=tinv(.95,10);z=tinv(.95,10,5);

NormalDistributionFunction

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probnorm(x)returnsthevalueofthedistributionfunctionofthestandardnormaldistribution.Example:

y=probnorm(1.96);

NormalDistributionQuantiles

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probit(p)returnsthepthquantile,0<p<1,ofthestandardnormaldistribution.Example:

y=probit(.975);

FDistributionFunction

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probf(x,ndf,ddf,nc)returnsthevalueofthedistributionfunctionoftheFdistributionwithndfnumeratordegreesoffreedom,ddfdenominatordegreesoffreedom,andoptionalnon-centralityparameternc.Ifnotspecified,nc=0.ncisthesumofthesquaresofthemeans.Examples:

y=probf(3.57,4,12);z=probf(3.57,4,12,2);

FDistributionQuantiles

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finv(p,ndf,ddf,nc)returnsthepthquantile,0<p<1,oftheFdistributionwithndfnumeratordegreesoffreedom,ddfdenominatordegreesoffreedom,andoptionalncasthenon-centralityparameter.Ifnotspecified,nc=0.ncisthesumofthesquaresofthemeans.Examples:

y=finv(.95,3,12);z=finv(.95,3,12,4);

Chi-SquareQuantiles

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cinv(p,df,nc)returnsthepthquantile,0<p<1,ofthechi-squaredistributionwithdegreesoffreedomdf.Iftheoptionalnon-centralityparameterncisnotspecified,nc=0.ncisthesumofthesquaresofthemeans.Examples:

y=cinv(0.95,5);z=cinv(0.95,5,3);

Chi-SquareDistributionFunction

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probchi(x,df,nc)returnsthevalueofthedistributionfunctionofthechi-squaredistributionwithdfdegreesoffreedomandoptionalnon-centralityparameternc.Ifnotspecified,nc=0.ncisthesumofthesquaresofthemeans.Examples:

y=probchi(3,17);z=probchi(3,17,5);

PoissonDistributionFunction

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poisson(m,n)returnsthevalueofthedistributionfunctionofthepoissondistributionwithparameterm.Example:

y=poisson(3.2,10);

ProcTtest

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Procttestisusedtotestthehypothesisofequalityofmeansfortwonormalpopulationsfromwhichindependentsampleshavebeenobtained.Theteststatisticiscomputedunderthehypothesisthatthetwopopulationshaveequalvariances,andanapproximateteststatisticiscomputedundernoassumptionabouttheequalityofvariances.Typicalinvocationis

procttestdata=second;classtype;varxy;run;

THECLASSSPECIFICATIONISREQUIRED.Theclassstatementspecifiesavariable(heretype)inthedatasetwhichtakesexactlytwovalues.Thevaluesofthisclassvariabledefinethetwopopulationstobecompared.

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Theoptionalvarstatementrestrictscomparisonstothevariableslisted;ifnotused,allvariablesinthedataset(execpttheclassvariable)arecomparedpairwise.

RandomUniformDeviate

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ranuni(seed)returnsapseudoobservationofauniformrandomvariableontheinterval(0,1).Example:

y=ranuni(0);

RandomPoissonDeviate

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ranpoi(seed,m)returnsapseudoobservationofapoissonrandomvariablewithparameterm.Example:

y=ranpoi(0,3.2);

RandomNormalDeviate

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rannor(seed)returnsapseudoobservationofastandardnormalrandomvariable.Example:

y=rannor(0);

StdFunction

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TheStdfunctionreturnsthestandarddeviationofargumentvariableswhichhavenonmissingvalues.Thedivisorisn()-1.Examples:

sdev=Std(x,y,z);sdev=Std(ofx1-x10);sdev=Std(ofxyz);

Thefirstandlastexampleassignsdevthestandarddeviationofthevariablesx,y,andzwhichhavenonmissingvalues.Notethedifferencesinsyntax.Thelastexamplereturnsthestandarddeviationofthevariablesamongx1,...,x10whichhavenonmissingvalues.

RandomCauchyDeviate

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rancau(seed)returnsapseudoobservationofacauchyrandomvariable.Example:

y=rancau(0);

StopStatement

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Thestopstatementendsprocessingofadatastep.Processingcontinueswiththefirstcommandfollowingthedatastep.