V9.4 SAS System Output



Dependent Variable BoxCox(CLnr)Number of Observations Read43Number of Observations Used43TRANSREG Univariate Algorithm Iteration History for BoxCox(CLnr)IterationNumberAverageChangeMaximumChangeR-SquareCriterionChangeNote10.396751.859190.2264020.000000.000000.342920.11652ConvergedAlgorithm converged.The TRANSREG Procedure Hypothesis Tests for BoxCox(CLnr)Univariate ANOVA Table Based on the Usual Degrees of FreedomSourceDFSum of SquaresMean SquareF ValueLiberal pModel111.6847711.6847721.40>= <.0001Error4122.390030.54610Corrected Total4234.07481The above statistics are not adjusted for the fact that the dependent variable was transformed and so are generally liberal.Root MSE0.73898R-Square0.3429Dependent Mean-1.53129Adj R-Sq0.3269Coeff Var-48.25896Lambda0.0000Adjusted Multivariate ANOVA Table Based on the Usual Degrees of FreedomDependent Variable Scoring Parameters=8 S=1 M=3 N=16StatisticValueF ValueNum DFDen DFpWilks' Lambda0.6570852.228340.0507Pillai's Trace0.3429152.228340.0507Hotelling-Lawley Trace0.5218742.228340.0507Roy's Greatest Root0.5218742.228340.0507The Wilks' Lambda, Pillai's Trace, and Hotelling-Lawley Trace statistics are a conservative adjustment of the normal statistics. Roy's Greatest Root is liberal. These statistics are normally defined in terms of the squared canonical correlations which are the eigenvalues of the matrix H*inv(H+E). Here the R-Square is used for the first eigenvalue and all other eigenvalues are set to zero since only one linear combination is used. Degrees of freedom are computed assuming all linear combinations contribute to the Lambda and Trace statistics, so the F tests for those statistics are conservative. The p values for the liberal and conservative statistics provide approximate lower and upper bounds on p. A liberal test statistic with conservative degrees of freedom and a conservative test statistic with liberal degrees of freedom yield at best an approximate p value, which is indicated by a "~" before the p value. The multivariate F tests are all the same since S=1.0.Univariate Regression Table Based on the Usual Degrees of FreedomVariableDFCoefficient95% Confidence LimitsType?IISum?ofSquaresMean SquareF ValueLiberal pIntercept1-2.1651854-2.5235019-1.806868981.326681.3266148.92>= <.0001Identity(GFR1)10.01454740.00819610.020898711.684811.684821.40>= <.0001The above statistics are not adjusted for the fact that the dependent variable was transformed and so are generally liberal.Adjusted Multivariate Regression Table Based on the Usual Degrees of FreedomVariableCoefficientStatisticValueF ValueNum DFDen DFpIntercept-2.1651854Wilks' Lambda0.21587715.44834<.0001Pillai's Trace0.78412315.44834<.0001Hotelling-Lawley Trace3.63226915.44834<.0001Roy's Greatest Root3.63226915.44834<.0001Identity(GFR1)0.0145474Wilks' Lambda0.6570852.228340.0507Pillai's Trace0.3429152.228340.0507Hotelling-Lawley Trace0.5218742.228340.0507Roy's Greatest Root0.5218742.228340.0507These statistics are adjusted in the same way as the multivariate statistics above.ObsDependentLabel1Value1Label2Value21BoxCox(CLnr)Root MSE0.73898R-Square0.34292BoxCox(CLnr)Dependent Mean-1.53129Adj R-Sq0.32693BoxCox(CLnr)Coeff Var-48.25896Lambda0.0000ObsModelDependentVariableDFEstimateStdErrtValueProbtLowerCLUpperCL1MODEL1CLrIntercept1-0.050290.05996-0.840.4065-0.171380.070802MODEL1CLrGFR110.014490.0008387017.27<.00010.012790.01618Obs_TYPE__NAME_CLnrTCLnrInterceptGFR1TInterceptTGFR11SCOREROW10.29-1.086861125.51125.52SCOREROW20.55-0.517171114.31114.33SCOREROW30.67-0.341501102.21102.24SCOREROW40.67-0.341501101.61101.65SCOREROW50.17-1.56224196.6196.66SCOREROW60.22-1.33275190.7190.77SCOREROW70.51-0.58437187.8187.88SCOREROW80.6-0.43972184.5184.59SCOREROW90.06-2.48922184.2184.210SCOREROW100.16-1.61620177.7177.711SCOREROW110.47-0.65708175.6175.612SCOREROW120.7-0.30251168168.013SCOREROW130.35-0.91947166.5166.514SCOREROW140.18-1.51136164.4164.415SCOREROW15.-0.83447160160.016SCOREROW161.20.17724152.3152.317SCOREROW170.15-1.67364152152.018SCOREROW180.32-0.99924151.7151.719SCOREROW190.17-1.56224149.3149.320SCOREROW200.51-0.58437137.5137.521SCOREROW210.19-1.46324135.5135.522SCOREROW22.-1.92474134.3134.323SCOREROW230.07-2.35202131131.024SCOREROW240.61-0.42501128.1128.125SCOREROW250.28-1.11809126.6126.626SCOREROW260.1-2.03454124.8124.827SCOREROW27.-2.61623118118.028SCOREROW280.29-1.08686116.3116.329SCOREROW290.27-1.15046116116.030SCOREROW300.19-1.46324112.7112.731SCOREROW31.-2.84107112.7112.732SCOREROW32.-2.84107112.7112.733SCOREROW330.12-1.87226110.3110.334SCOREROW340.23-1.2931819.819.835SCOREROW350.12-1.872261818.036SCOREROW36.-3.0531817.717.737SCOREROW370.058-2.5194016.516.538SCOREROW380.018-3.5608714.714.739SCOREROW39.-3.2059014.114.140SCOREROW400.042-2.8067014.114.141SCOREROW410.122-1.8575514.114.142SCOREROW420.145-1.7038211.811.843SCOREROW430.162-1.6051411.511.5 ................
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