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Class Level Information Class Levels Values CYL 2 4 6 OIL 3 GASMISER MULTI STANDARD Number of Observations Read 30 Number of Observations Used 30 The GLM Procedure Dependent Variable: MPG Sum of Source DF Squares Mean Square F Value Pr > F Model 5 66.52266667 13.30453333 12.27 <.0001 Error 24 26.02400000 1.08433333 Corrected Total 29 92.54666667 R-Square Coeff Var Root MSE MPG Mean 0.718801 4.456405 1.041313 23.36667 Source DF Type I SS Mean Square F Value Pr > F CYL 1 37.63200000 37.63200000 34.71 <.0001 OIL 2 8.56266667 4.28133333 3.95 0.0329 CYL*OIL 2 20.32800000 10.16400000 9.37 0.0010 Source DF Type III SS Mean Square F Value Pr > F CYL 1 37.63200000 37.63200000 34.71 <.0001 OIL 2 8.56266667 4.28133333 3.95 0.0329 CYL*OIL 2 20.32800000 10.16400000 9.37 0.0010   The GLM Procedure Level of Level of -------------MPG------------- CYL OIL N Mean Std Dev 4 GASMISER 5 25.8600000 0.71972217 4 MULTI 5 24.0800000 0.74632433 4 STANDARD 5 23.5200000 1.33865604 6 GASMISER 5 21.4200000 1.06630202 6 MULTI 5 23.6000000 0.98234414 6 STANDARD 5 21.7200000 1.23975804 The GLM Procedure Dependent Variable: MPG Sum of Source DF Squares Mean Square F Value Pr > F Model 5 66.52266667 13.30453333 12.27 <.0001 Error 24 26.02400000 1.08433333 Corrected Total 29 92.54666667 R-Square Coeff Var Root MSE MPG Mean 0.718801 4.456405 1.041313 23.36667 Source DF Type I SS Mean Square F Value Pr > F CYL 1 37.63200000 37.63200000 34.71 <.0001 OIL 2 8.56266667 4.28133333 3.95 0.0329 CYL*OIL 2 20.32800000 10.16400000 9.37 0.0010 Source DF Type III SS Mean Square F Value Pr > F CYL 1 37.63200000 37.63200000 34.71 <.0001 OIL 2 8.56266667 4.28133333 3.95 0.0329 CYL*OIL 2 20.32800000 10.16400000 9.37 0.0010 Standard Parameter Estimate Error t Value Pr > |t| 4cyl Vs 6cyl 2.24000000 0.38023385 5.89 <.0001 Cheap Vs Expensive -1.12000000 0.40329890 -2.78 0.0105 The GLM Procedure Dependent Variable: MPG Sum of Source DF Squares Mean Square F Value Pr > F Model 5 66.52266667 13.30453333 12.27 <.0001 Error 24 26.02400000 1.08433333 Corrected Total 29 92.54666667 R-Square Coeff Var Root MSE MPG Mean 0.718801 4.456405 1.041313 23.36667 Source DF Type I SS Mean Square F Value Pr > F CYL 1 37.63200000 37.63200000 34.71 <.0001 OIL 2 8.56266667 4.28133333 3.95 0.0329 CYL*OIL 2 20.32800000 10.16400000 9.37 0.0010 Source DF Type III SS Mean Square F Value Pr > F CYL 1 37.63200000 37.63200000 34.71 <.0001 OIL 2 8.56266667 4.28133333 3.95 0.0329 CYL*OIL 2 20.32800000 10.16400000 9.37 0.0010 Standard Parameter Estimate Error t Value Pr > |t| 4cyl Vs 6cyl, Gasmiser 4.44000000 0.65858434 6.74 <.0001 4cyl Vs 6cyl, Multi 0.48000000 0.65858434 0.73 0.4732 4cyl Vs 6cyl, Standard 1.80000000 0.65858434 2.73 0.0116 Cheap Vs Expensive, 4-cyl -1.45000000 0.57035077 -2.54 0.0179 Cheap Vs Expensive, 6-cyl -0.79000000 0.57035077 -1.39 0.1788 The GLM Procedure Tukey's Studentized Range (HSD) Test for MPG NOTE: This test controls the Type I experimentwise error rate, but it generally has a higher Type II error rate than REGWQ. Alpha 0.05 Error Degrees of Freedom 24 Error Mean Square 1.084333 Critical Value of Studentized Range 2.91880 Minimum Significant Difference 0.7848 Means with the same letter are not significantly different. Tukey Grouping Mean N CYL A 24.4867 15 4 B 22.2467 15 6 The GLM Procedure Tukey's Studentized Range (HSD) Test for MPG NOTE: This test controls the Type I experimentwise error rate, but it generally has a higher Type II error rate than REGWQ. Alpha 0.05 Error Degrees of Freedom 24 Error Mean Square 1.084333 Critical Value of Studentized Range 3.53170 Minimum Significant Difference 1.163 Means with the same letter are not significantly different. Tukey Grouping Mean N OIL A 23.8400 10 MULTI A B A 23.6400 10 GASMISER B B 22.6200 10 STANDARD The GLM Procedure Tukey's Studentized Range (HSD) Test for MPG NOTE: This test controls the Type I experimentwise error rate. Alpha 0.05 Error Degrees of Freedom 24 Error Mean Square 1.084333 Critical Value of Studentized Range 3.53170 Minimum Significant Difference 1.163 Comparisons significant at the 0.05 level are indicated by ***. Difference OIL Between Simultaneous 95% Comparison Means Confidence Limits MULTI - GASMISER 0.2000 -0.9630 1.3630 MULTI - STANDARD 1.2200 0.0570 2.3830 *** GASMISER - MULTI -0.2000 -1.3630 0.9630 GASMISER - STANDARD 1.0200 -0.1430 2.1830 STANDARD - MULTI -1.2200 -2.3830 -0.0570 *** STANDARD - GASMISER -1.0200 -2.1830 0.1430 The GLM Procedure Least Squares Means Adjustment for Multiple Comparisons: Tukey LSMEAN CYL OIL MPG LSMEAN Number 4 GASMISER 25.8600000 1 4 MULTI 24.0800000 2 4 STANDARD 23.5200000 3 6 GASMISER 21.4200000 4 6 MULTI 23.6000000 5 6 STANDARD 21.7200000 6 Least Squares Means for effect CYL*OIL Pr > |t| for H0: LSMean(i)=LSMean(j) Dependent Variable: MPG i/j 1 2 3 4 5 6 1 0.1115 0.0178 <.0001 0.0235 <.0001 2 0.1115 0.9546 0.0056 0.9763 0.0166 3 0.0178 0.9546 0.0405 1.0000 0.1050 4 <.0001 0.0056 0.0405 0.0310 0.9972 5 0.0235 0.9763 1.0000 0.0310 0.0823 6 <.0001 0.0166 0.1050 0.9972 0.0823 Class Level Information Class Levels Values L 4 B C E K VARIETY 3 B L N NIT 4 60 90 120 150 Number of Observations Read 48 Number of Observations Used 48 12:01 Monday, February 18, 2008 70 The GLM Procedure Dependent Variable: YIELD Sum of Source DF Squares Mean Square F Value Pr > F Model 47 75391008.48 1604064.01 . . Error 0 0.00 . Corrected Total 47 75391008.48 R-Square Coeff Var Root MSE YIELD Mean 1.000000 . . 4241.104 Source DF Type I SS Mean Square F Value Pr > F L 3 34397399.06 11465799.69 . . VARIETY 2 12429614.04 6214807.02 . . NIT 3 3428486.56 1142828.85 . . L*VARIETY 6 17855604.13 2975934.02 . . L*NIT 9 3415525.52 379502.84 . . VARIETY*NIT 6 415137.13 69189.52 . . L*VARIETY*NIT 18 3449242.04 191624.56 . . Source DF Type III SS Mean Square F Value Pr > F L 3 34397399.06 11465799.69 . . VARIETY 2 12429614.04 6214807.02 . . NIT 3 3428486.56 1142828.85 . . L*VARIETY 6 17855604.12 2975934.02 . . L*NIT 9 3415525.52 379502.84 . . VARIETY*NIT 6 415137.13 69189.52 . . L*VARIETY*NIT 18 3449242.04 191624.56 . . The GLM Procedure Dependent Variable: YIELD Sum of Source DF Squares Mean Square F Value Pr > F Model 29 71941766.44 2480750.57 12.95 <.0001 Error 18 3449242.04 191624.56 Corrected Total 47 75391008.48 R-Square Coeff Var Root MSE YIELD Mean 0.954249 10.32159 437.7494 4241.104 Source DF Type I SS Mean Square F Value Pr > F L 3 34397399.06 11465799.69 59.83 <.0001 VARIETY 2 12429614.04 6214807.02 32.43 <.0001 NIT 3 3428486.56 1142828.85 5.96 0.0052 L*VARIETY 6 17855604.13 2975934.02 15.53 <.0001 L*NIT 9 3415525.52 379502.84 1.98 0.1039 VARIETY*NIT 6 415137.13 69189.52 0.36 0.8940 Source DF Type III SS Mean Square F Value Pr > F L 3 34397399.06 11465799.69 59.83 <.0001 VARIETY 2 12429614.04 6214807.02 32.43 <.0001 NIT 3 3428486.56 1142828.85 5.96 0.0052 L*VARIETY 6 17855604.13 2975934.02 15.53 <.0001 L*NIT 9 3415525.52 379502.84 1.98 0.1039 VARIETY*NIT 6 415137.13 69189.52 0.36 0.8940 EEho#ho#CJaJ)j8 ho#ho#CJOJQJU^JaJ)jho#ho#CJOJQJU^JaJho#CJOJQJ^JaJ ho#ho#CJOJQJ^JaJ<=wxD  w x   W X Y 7$8$H$gdo#E S T  k l m (!"tkagdo# 7$8$H$gdo#@DE}~yz4 7$8$H$gdo#gdo#N  LXYCD#$%rsgdo# 7$8$H$gdo#s }789QQR f  \ gdo# 7$8$H$gdo#\ ] !L!M!N!!!,"v""""###W#X######$$b$c$ 7$8$H$gdo#c$$%% %S%%%1&{&|&}&&&&''W'}''',(-(.(j(k((( ) 7$8$H$gdo# ) ) )U)))3*}*~***** +W++++A,,,*-v-w---8.9..gdo# 7$8$H$gdo#.../^///90000011Q1R1112s2233333"4#4b4c4gdo# 7$8$H$gdo#c44444)5*5+5r555"6#6_6`6z6{6677j7k77777798:8 7$8$H$gdo#:888888@999K:::V;W;X;;;<h<<=s==%>&>a>b>|>}>gdo# 7$8$H$gdo#}>>??p?q??????A@B@@@@@@LAABcBBCCC|C}CC 7$8$H$gdo#C7DDDNEEgdo# 7$8$H$gdo#,1h/ =!"#$% 8 Dd :t1,,0  # A" oRN+CX( Dj@= oRN+CX()M1zV x{LWG@CUWmhX,*k"]Z۬JqM qB4TRפtnL}lⓍVU{Jؖ?l/99{ܹ9sE  qt}^N/k $|\Hq%Xgxg c ~y/.tt#uf81K?8Pr']bx],S4zx\gҙwėsu aؐaX/} s/a_3pm>W7)iOuav%Pآpy_]Z9-SP+OCs$mmad 9)͝M.1PE}:JcJQ,IP- %Q$I|K8֯l~9q.\sqy8mI:eI}-ڒ$urp_>r:W:0us~o ƿ-IPגZAÒ+ۇ7VZ:0v9ö. 7]LncTL2Lw(`6LwPeBLo0]L4NJvŊFhWH3'~ b9V+VQsibI{~Mq-=DbaHMbL zkn 35Dq3UT LÔ3Snr0RÔ)0L)`0` <ff %&ɑyb&s9'4' ~<a`&8ā0o`{pf &3l`0Ff)fj5L-ZSLaT{1sy>Dl7~vSLayfJ S2ShB0&|0&Lf&0`=L&3aI6L2dyL<^i!61]Gv'yUԖuh`0ft0^ޣFBٌnB ~u Ab[k[LDC׊f=59I>W>3t̀+]"tlkuMLve\MJKSa@헛ۿTܴ-ow ?8pøf#!/Zy2@ Ģ ]%Qk-hJwȮ qd K C(EDKeݵ$CE%q } 8}+Dkj9UeW-,-HoCidZA{,cކ}|^G0S{LƮo"165(H,d,>%4c1rUK Q͌"/J.yu!7B~q3d?(afPal>CfmC<GFA#7+=LWڌü9A{ h/1j0de}Kݸ_F_c^_Arғ9}/G׊̜^t抾 fe {XuMsȩkci7L-]S3*PL0L&>Lس03Vv233a s)C9tÜ2h2sBfi90gٖj3gaOT 3mY|fÞ&mh_e& LaÖC3Uu:nؖ}oݸN+ SjC>}Vs냿KV&A3 K_ Z~\ q-i]C5"f"UK)+xawX!+jsiUPdZ*S fQb֨-rדNLa|a(Dz:Z]CI>\ZuׇzתSΓ%:~N}Kיl@s[+GF@qݼ&:I ި&k 3_2͠d#"-a@UΡjJ CgfO{I;I{!Ii/\^֑~:?5J3Yr9azAJבhe\E仆}*gk(J6>όr-l[Z/Fz^_Y)jy0k< Zi#-aZ+PP;FWel$k2Xޒ! !9&;2gq &:"'Dd6Nub23j 3 0>23CMTa]oCLJTa+{w -]kp7x KwF(tZt_KٷFH{rw##]e h|2i~n&x_sDd :t10  # A" _޸ ?ES?E2>~g.|9~O~??$:̔bnOs&r $N5\gغ$"q:f,S.2SkZ0Ԁ 0T[Lub2U`L3S`J)L)SLe yvC;af3~3!˄L*3I`22]t 0Z&Llb&2Q`{85LLL3 i`02{n;bfyL~0?[jfV[f5f3, ̲SLe*T9̱0sL13Ŗ)S`ɷL>3f|d&2`2Lm4sZO"3O"$8f,&.tde:` Ü>seiL#ʍf?3-:ԡ\`v02;P`jL 5mjfWT1SeT\`*L˔\` )L!ʅ&<.d3mlLeB(L*3IE953oxLmXckF7|]s~tF^a'Z]'-nÊd\돶ƤZzn5NR0&mk~b]ў"9)-đߦ8^8>&㨓mcn!PAx8V1љBqmc`qy :=[ 4)(53:=&@3Y0[0[0[0G90G;0]at3])"#L3Y&aJ)q0% ga;̥d|)5ѥiA3N T f,af,ajuZ0ssqWѩīS"L39&af33af0kY0ku}o}SgDa7G fiږԆaFSǬqo|o{Ѷ+YZ_'Ơ2u -1 İWcж0P-<1|O@wt!'CI"ZzFK/Xϴ}߬!sOm$S7hZ YCB>Azy-5ml'szXϯޓG2h07$YK &YKeY y h*Qż6k, %y2C@f2<4P='}D5̼ q|{=&d3Cs %9٨m(b 4$߲Ll)M}6|2wvBid.y哖(M,S<)X6xA C2b3w|j˼ R;cMsu~C4UFLAgtK~ #A$X/.}oWt>e4cLfzUs_V]K`qjd9374{ gnaJa"O[DgְMhjDd<}mۄW P)Ꮷ$ xB"!v_mCqyCq9620+ˬdzHfV¾^Fmuou=}2Q˒ c^dM)y/gmq }L^%=7?Uʵl{\<]|,mfP [we[m9%O7U@|Ҕy}i2lr3/WEmüjY&oM<-sZ˹.s93Xc\ a,{On-kA`n.ϣ{ps1z.iNzmE9ƋZ-\4hB'ͻ?33 j7%iƍYs)s &sv=]9zeY%z'^n 2}=f' rr-4Ts!2Hm/yE/-m)M*;S=%kU,]B:k+%_W^F]P^Nt˩zXFuصғ(SOCE$&'()*+,-./01E%iJ&4jJ&|kJ&$lJ&TmJ&nJ&oJ&pJ&$qJ&,rJ&sJ&4tJ&8uJ&DhvJ&$%%()Y)\).!./a/t//071I11111B2T22223M3344_4q4445#5j5|5556=33333333333333333333333333333===o#@<=P@UnknownGz Times New Roman5Symbol3& z ArialC5  SAS Monospace"qh††4 w4o4 w4o!24==2HP)?o#2; Class Level Information Math Dept Math DeptOh+'0$ 8D d p |< Class Level Information Math DeptNormal Math Dept1Microsoft Office Word@V@t@t4 w4՜.+,0@ hp   University of South Carolinao= < Class Level Information Title  !"#$%&'()*+,-./012456789:;<=>?@BCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`bcdefghjklmnopsRoot Entry FV@tuData 31TableA?WordDocument.dSummaryInformation(aDocumentSummaryInformation8iCompObjq  FMicrosoft Office Word Document MSWordDocWord.Document.89q