TABLES for Math439 Test (October 26, 2010) (Fragments of SAS outputs are between lines `+++++++....') \lv ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ TABLE 1: A REGRESSION ON FOUR VARIABLES \lm The GLM Procedure \lm Dependent Variable: YY \lm \leftline{\hskip 190pt Sum of} Source DF Squares Mean Square F Value Pr > F \ls Model 4 251964.2869 62991.0717 52.57 <.0001 Error 30 35948.3989 1198.2800 Corrected Total 34 287912.6857 \lv R-Square Coeff Var Root MSE YY Mean 0.875141 13.59935 34.61618 254.5429 \lv Source DF Type I SS Mean Square F Value Pr > F AA1 1 191825.5879 191825.5879 160.08 <.0001 BB1 1 10643.9755 10643.9755 8.88 0.0057 CC1 1 39283.4613 39283.4613 32.78 <.0001 DD1 1 10211.2623 10211.2623 8.52 0.0066 \lv Source DF Type III SS Mean Square F Value Pr > F AA1 1 41.84821 41.84821 0.03 0.8530 BB1 1 5192.73623 5192.73623 4.33 0.0460 CC1 1 3551.59838 3551.59838 2.96 0.0954 DD1 1 10211.26226 10211.26226 8.52 0.0066 \lv\lm \leftline{\hskip 177pt Standard} Parameter Estimate Error t Value Pr > |t| Intercept -123.8539216 97.06298515 -1.28 0.2117 AA1 0.3124323 1.67184758 0.19 0.8530 BB1 1.7435831 0.83757493 2.08 0.0460 CC1 -1.5975936 0.92796913 -1.72 0.0954 DD1 15.8182755 5.41874319 2.92 0.0066 \vfill\break ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ TABLE 2: A PAIRED-SAMPLE TEST \lm The GLM Procedure Multivariate Analysis of Variance \lv \leftline{\obeyspaces Characteristic Roots and Vectors of: E Inverse * H, where} \leftline{\obeyspaces H = Type III SSCP Matrix for Intercept} \leftline{\obeyspaces E = Error SSCP Matrix} \lv \def\ta{\hskip55pt} \def\tb{\hskip20pt} Characteristic Characteristic Vector V'EV=1 \ta Root Percent Z1 Z2 Z3 \lm \tb 0.32376494 100.00 -0.10319951 0.14692074 0.06428113 \tb 0.00000000 0.00 0.01289965 -0.01927309 0.16256580 \tb 0.00000000 0.00 0.14156496 0.11743846 0.00000000 \lv\lv \leftline{\obeyspaces MANOVA Test Criteria and Exact F Statistics for} \leftline{\obeyspaces the Hypothesis of No Overall Intercept Effect} \leftline{\obeyspaces H = Type III SSCP Matrix for Intercept} \leftline{\obeyspaces E = Error SSCP Matrix} \lm \leftline{\obeyspaces S=1 M=0.5 N=16} \lm Statistic Value F Value Num DF Den DF Pr > F \lm Wilks' Lambda 0.75542112 3.67 3 34 0.0216 Pillai's Trace 0.24457888 3.67 3 34 0.0216 Hotelling-Lawley Trace 0.32376494 3.67 3 34 0.0216 Roy's Greatest Root 0.32376494 3.67 3 34 0.0216