(*********************************************************************** Mathematica-Compatible Notebook This notebook can be used on any computer system with Mathematica 3.0, MathReader 3.0, or any compatible application. The data for the notebook starts with the line of stars above. To get the notebook into a Mathematica-compatible application, do one of the following: * Save the data starting with the line of stars above into a file with a name ending in .nb, then open the file inside the application; * Copy the data starting with the line of stars above to the clipboard, then use the Paste menu command inside the application. Data for notebooks contains only printable 7-bit ASCII and can be sent directly in email or through ftp in text mode. Newlines can be CR, LF or CRLF (Unix, Macintosh or MS-DOS style). 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For more information on notebooks and Mathematica-compatible applications, contact Wolfram Research: web: http://www.wolfram.com email: info@wolfram.com phone: +1-217-398-0700 (U.S.) Notebook reader applications are available free of charge from Wolfram Research. ***********************************************************************) (*CacheID: 232*) (*NotebookFileLineBreakTest NotebookFileLineBreakTest*) (*NotebookOptionsPosition[ 533455, 22844]*) (*NotebookOutlinePosition[ 534509, 22880]*) (* CellTagsIndexPosition[ 534465, 22876]*) (*WindowFrame->Normal*) Notebook[{ Cell[CellGroupData[{Cell[TextData[ "Ancova Program for solving the Johnson-Neyman Problem for 1 and 2 \ Covariates"], "Section", Evaluatable->False, AspectRatioFixed->True], Cell[TextData[ "Steve Hunka, University of Alberta, Edmonton, AB, Canada, T6G 2G5,\ne-mail: \ steve.hunka@ualberta.ca"], "Subsubsection", Evaluatable->False, AspectRatioFixed->True], Cell[TextData[ "Program Description: The program handles the 1 and 2 covariate case of \ analysis of covariance when homogeneity of regression coefficients does not \ exist. Arguments to the program are the data matrix and a vector of the \ number of observations per group. Parameters are estimated using the general \ linear model approach. The significance of each covariate is tested, and a \ plot is made of the regression lines or planes. In the case of one covariate \ the unknown is solved directly and plotted to show the boundaries for the \ region of significance. In the two covariate case, the polynomial surface is \ plotted including a plot of the surface defining the region of significance \ as well as a contour plot identifying various levels of the significance \ regions as a function of the two covariates. \nRevised: June 1995"], "Subsection", Evaluatable->False, AspectRatioFixed->True, FontSize->12], Cell[TextData[{ StyleBox["References:\nS. Hunka. Using ", Evaluatable->False, AspectRatioFixed->True], StyleBox["Mathematica", Evaluatable->False, AspectRatioFixed->True, FontSlant->"Italic"], StyleBox[" to solve Johnson-Neyman Problems, ", Evaluatable->False, AspectRatioFixed->True], StyleBox["Mathematica", Evaluatable->False, AspectRatioFixed->True, FontSlant->"Italic"], StyleBox[ " in Education, Vol. 3, No. 3, 32-36, Summer 1994.\nS. Hunka. Identifying \ regions of significance in ANCOVA problems having non-homogeneous \ regressions. Br. Jr. Math. Stat. Psych., 48, 161-188, 1995.\nR.F. Potthoff. \ Johnson-Neyman Technique, in Encyclopedia of Statistical Sciences, Eds. S. \ Kotz and N.L. Johnson, 4, 299-303, John Wiley & Sons, New York, 1983.", Evaluatable->False, AspectRatioFixed->True] }], "Subsubsection", Evaluatable->False, AspectRatioFixed->True], Cell[TextData[ "Program Name: ancvjn[d_,ng_]\nCalling arguments: d_ is the data matrix in \ which each row is an observation holding the dependent variable followed by \ one or two covariates. The rows are ordered by groups. ng_ is a vector in \ which each element is the number of observations in each group.\nFunctions \ called: getMp, cradd, ssk, knTrst, plotLines, plotRp, int3dplot,chkPts, as \ described below.\nPackages: Statistics`ContinuousDistributions` "], "Subsection", Evaluatable->False, AspectRatioFixed->True, FontSize->12], Cell[TextData[ "Interactive Input: In the 1 covariate case the user inputs an alpha level \ for the desired region of significance and if a particular value of the \ covariate is to be tested for significance, the value to be used. In the 2 \ covariate case the following are requested of the user:\n1) an alpha value \ for the surface plot\n2) the minimum and maximum values of each covariate for \ plotting purposes\n3) the number of plot points\n4) a vector of alpha values \ for the contour plot and whether shading is desired\n5) to replot at a \ different of alpha using sequence starting at (1)\n6) calculate significance \ of a covariate pair of values"], "Subsubsection", Evaluatable->False, AspectRatioFixed->True], Cell[TextData[ "Program Output:\n1) the parameter estimates\n2) a test of SSmcfm (at \ covariate values of zero) including contrast used\n3) test of regression \ homogeneity for each covariate\n4) symbolic contrast matrix to test SSmcfm \ for covariate adjustment to p and q\n5) points of significance for user \ selected alpha values\n6) plot of regression lines or planes\n7) a plots of \ the polynomial or polynomial surfaces\n8) contour plot of user selected \ regions of significance (2 covariate case only)\n9) the polynomial \ representing SSmcfm for defining region of significance"], "Subsubsection", Evaluatable->False, AspectRatioFixed->True], Cell[TextData["Package calls, Functions, and Program follow:"], "Subsection", Evaluatable->False, AspectRatioFixed->True], Cell[TextData["<True], Cell[CellGroupData[{Cell[TextData[ "getMp[p_,x_,n_] gets the pth part of matrix x; x has {n1,n2,...np} rows\n \ in each part. Operates on vectors also."], "Subsubsection", Evaluatable->False, AspectRatioFixed->True], Cell[TextData[ "getMp[p_,x_,n_]:= \n Module[{inx,mp},\n inx=Drop[FoldList[Plus,0,n],-1];\n\ mp=Take[Drop[x,inx[[p]]],n[[p]]];\n Return[mp];\n ];"], "Input", AspectRatioFixed->True]}, Open]], Cell[CellGroupData[{Cell[TextData[ " cradd[a_,b_]\n Carries out circle + operation using matrix a and b. Used to \ form a linear model design matrix where a and b appear as block diagonals in \ the result."], "Subsubsection", Evaluatable->False, AspectRatioFixed->True], Cell[TextData[ "\ncradd[a_,b_]:=\nJoin[\nTranspose[\n Join[\n Transpose[a],\n \ Transpose[Table[i j 0,\n {i,Dimensions[a][[1]]},\n \ {Dimensions[b][[2]]}]]]],\nTranspose[\n Join[\n Table[i j \ 0,\n {i,Dimensions[a][[2]]},\n {Dimensions[b][[1]]}],\ \n Transpose[b] ]]]\n\n \n "], "Input", AspectRatioFixed->True]}, Open]], Cell[CellGroupData[{Cell[TextData[ "ssk[k_,xx_,pb_]\nFunction ssk calculates sum of squares for contrast matrix \ k, X'X, and parameters bp."], "Subsection", Evaluatable->False, AspectRatioFixed->True, FontSize->12], Cell[TextData[ "ssk[k_,xx_,pb_]:=\n(k.pb).(Inverse[k.Inverse[xx].Transpose[k]]).\n \ (k.pb);\n"], "Input", AspectRatioFixed->True]}, Open]], Cell[TextData[ "knTrst[k_,ng_]\n creates a contrast matrix;k_ holds pattern e.g., {0,p,q}, \ and ng is the number of groups.\n"], "Subsection", Evaluatable->False, AspectRatioFixed->True, FontSize->12], Cell[TextData[ "knTrst[k_,ng_]:=\n Module[{t},\n t=Table[\n Join[k,-k,Table[0,{Length[k] \ (ng-2)}]],\n {ng-1}];(*end Table*)\n Do[\n \ t[[j]]=RotateRight[t[[j]],{(j-1) (Length[k])}],\n {j,1,ng-1}];\n \ Return[t];\n ];\n "], "Input", AspectRatioFixed->True], Cell[CellGroupData[{Cell[TextData[ "plotLines[p_,rng_,ttl_] plots regression lines in one plot. The arguments \ are defined as follows: p is a matrix in which each row represents the \ parameters of each line, i.e., {{c1,x1},{c2,x2}}, rng is a vector of 2 \ elements giving the range (min,max) for x over which each line is to be \ plotted, and ttl is a title for the plot. ttl can be defined as simply title=\ \"yourtitle\", and then title is used in the argument list. Each line is \ colored differently."], "Subsubsection", Evaluatable->False, AspectRatioFixed->True], Cell[TextData[ "plotLines[p_,rng_,ttl_]:=\n Module[{i,pobj,np,xv,ev},\n pobj=List[];\n \ np=Length[p]; (*# param/grp*)\n xv={1,x1}; (*symbolic const & predictor*)\n \ ex=p.xv;\n Do[\n AppendTo[pobj,\n \ Plot[ex[[i]],{x1,rng[[1]],rng[[2]]},\n DisplayFunction->Identity,\n \ PlotStyle->{RGBColor[Random[Real,{0,1}],\n \ Random[Real,{0,1}],\n Random[Real,{0,1}]]}]],\n \ {i,1,np}];\n Show[pobj,DisplayFunction->$DisplayFunction,\n \ AxesLabel->{\"x\",\"y\"},\n PlotLabel->ttl\n ];\n ]; (*end \ Module*)\n "], "Input", AspectRatioFixed->True]}, Open]], Cell[CellGroupData[{Cell[TextData[ "plotRp[p_,rng_,ttl_] plots regression planes in one 3d cube. The arguments \ are defined as follows: p is a matrix in which each row represents the \ parameters of each plane, i.e., {{c,x1,x2},{c,x1,x2}..{}}, and rng is a \ matrix of order (2,2) in which each row gives the range (min,max) for x1 and \ x2 over which each plane is to be plotted.ttl is a title,e.g, \ title=\"yourtitle\". "], "Subsubsection", Evaluatable->False, AspectRatioFixed->True], Cell[TextData[ "plotRp[p_,rng_,ttl_]:=\n Module[{i,pobj,np,xv,ev},\n pobj=List[];\n \ np=Length[p]; (*# param/grp*)\n xv={1,x1,x2}; (*symbolic const & covars*)\n \ ex=p.xv;\n Do[\n AppendTo[pobj,\n \ Plot3D[ex[[i]],{x1,rng[[1]][[1]],rng[[1]][[2]]},\n \ {x2,rng[[2]][[1]],rng[[2]][[2]]},\n DisplayFunction->Identity]],\n \ {i,1,np}];\n Show[pobj,DisplayFunction->$DisplayFunction,\n \ AxesLabel->{\"x1\",\"x2\",\"y\"},\n PlotLabel->ttl\n ];\n ]; \ (*end Module*)\n "], "Input", AspectRatioFixed->True]}, Open]], Cell[TextData[ "int3dplot[pmm_,ss_,mse_,dfc_,dfe_] is used to plot the expression ss having \ unknowns p and q. The argument pmm is a vector containing the minimum and \ maximum values of p and q respectively; ss is the expression; mse is means \ square error; dfc is degrees of freedom for contrast; dfe is error degrees of \ freedom. For each variable p and q (x1 and x2) the user is presented with the \ currently set minimum and maximum values and allowed to change them. The user \ could save the expression output by ancvjn2, and after defining the matrix \ for pmm, use the function to further explore the polynomial surface and \ regions of significance of ss-siglev independently of ancvjn. "], "Subsubsection", Evaluatable->False, AspectRatioFixed->True], Cell[CellGroupData[{Cell[TextData[ "int3dplot[pmm_,ss_,mse_,dfc_,dfe_]:=\n \ Module[{rpq,pp,vminmax,q1,mw,vw,par,q3,q2,q4,pobj,\n siglev,alf},\n \ rpq=\"y\";\n pp=10;\n q4=\"Do you want to replot with new values? y/n\";\n \ vminmax=pmm;\n q1=\"Type a value of to use.It currently is \";\n \ mw=Flatten[Table[{\"minimum \",\"maximum \"},{2}]];\n vw={\"x1 \",\"x1 \ \",\"x2 \",\"x2 \"};\n \n While[rpq==\"y\",\n alf=Input[\"Type alpha for \ surface plot, e.g.,.05\"];\n Print[\"Alpha=\",alf];\n siglev=mse dfc \n \ Quantile[FRatioDistribution[dfc,dfe],1-alf];\n Print[\"Point of Signficance \ (c): MSe x dfc x F=\",siglev]; \n par=List[];\n Do[\n \ q2=StringInsert[q1,vw[[i]],17];(*insert x1 or x2*)\n \ q2=StringInsert[q2,mw[[i]],8];(*insert min or max*)\n \ q2=StringJoin[q2,ToString[vminmax[[i]]]];\n par=Append[par,Input[q2]];\n \ ,{i,1,4}]; (*end Do *)\n vminmax=par;\n Print[\"Plot ranges are:\",par];\n \ q3=\"How many PlotPoints do you want? Currently it is \";\n \ q3=StringJoin[q3,ToString[pp]];\n pp=Input[q3];\n \ Print[\"PlotPoints=\",pp];\n pobj=Plot3D[ss-siglev,\n \ {p,par[[1]],par[[2]]},{q,par[[3]],par[[4]]},\n PlotPoints->pp,\n \ AxesLabel->{\"x1\",\"x2\",\"ss-c\"},\n PlotLabel->\"Polynomial \ Surface of ss-c\"];\n Show[pobj,PlotRange->{-1,0},\n \ PlotLabel->\"Polynomial Surface at ss-c=0\"];\n \n (* now do contour \ plot *)\n alf=Input[\"Type alpha for contours, e.g.,{.05,.01}\"];\n Print[\ \"Alpha=\",alf];\n siglev=mse dfc \n \ Quantile[FRatioDistribution[dfc,dfe],1-alf];\n Print[\"Points of \ Signficance: MSe x dfc x F are\"];\n Print[siglev];\n \n \ cs=\"y\"==InputString[\"Contour shading? y/n\"];\n ContourPlot[ss,\n \ {p,par[[1]],par[[2]]},{q,par[[3]],par[[4]]},\n Contours->siglev,\n \ ContourShading->cs,\n \ FrameLabel->{\"x1\",\"x2\"},ColorFunction->Hue,\n PlotLabel->\"Regions \ of Signficance\"];\n \n rpq=InputString[q4]; (*quest to repeat *)\n \ ]; (*end While*)\n ]; (* end Module *)\n "], "Input", AspectRatioFixed->True], Cell[TextData[ "Syntax::newl: \n The newline character after \" siglev=mse dfc \"\n \ is understood as a multiplication operator."], "Message", Evaluatable->False, AspectRatioFixed->True], Cell[TextData[ "Syntax::newl: \n The newline character after \" siglev=mse dfc \"\n \ is understood as a multiplication operator."], "Message", Evaluatable->False, AspectRatioFixed->True]}, Open]], Cell[CellGroupData[{Cell[TextData[ "chkPts[x,b,mse,dfe,ng] calculates the probability in testing SSmcfm \ associated with a particular set of covariate values input by user. x is X'X \ where X is the design matrix; b is a vector of parameter estimates; mse is \ the mean square error; dfe is the degree of freedom for mse; ng is the number \ of groups. chkPts calls knTrst and ssk."], "Subsubsection", Evaluatable->False, AspectRatioFixed->True], Cell[TextData[ "chkPts[x_,b_,mse_,dfe_,ng_]:=\nModule[{cpat,rpq,con,ms,dfc,f,fdist,prob},\n \ rpq=\"y\";\n Print[\"\"];Print[\"Probability of Covariate set points\"];\n \ While[rpq==\"y\",\n cpat=Join[{1},\n \tInput[\"Type vector of covariate \ values,eg.{2,3}\"]];\n con=knTrst[cpat,ng];\n Print[\"Contrast \ Matrix\"];Print[con];\n dfc=Length[con];\n ms=ssk[con,x,b]/dfc; (*get \ Mean square *)\n f=ms/mse;\n Print[\"MS=\",ms,\",df=\",dfc,\",F=\",f];\n \ fdist=FRatioDistribution[dfc,dfe];\n prob=1-CDF[fdist,f];\n \ Print[\"Probability=\",prob];\n rpq=InputString[\"Do you have more values? \ y/n\"];\n ];(*end While*)\n ];(*end Module*)"], "Input", AspectRatioFixed->True]}, Open]], Cell[TextData[{ StyleBox["The ", Evaluatable->False, AspectRatioFixed->True], StyleBox["Mathematica", Evaluatable->False, AspectRatioFixed->True, FontSlant->"Italic"], StyleBox[" program.", Evaluatable->False, AspectRatioFixed->True] }], "Subsection", Evaluatable->False, AspectRatioFixed->True], Cell[CellGroupData[{Cell[TextData[ "\nancvjn[d_,ng_]:= (*Johnson-Neyman Ancova*)\n \ Module[{nt,ngrp,x,y,ncv,xtx,dm,b,dfc,dfe,j,mse,con,\n \ concv,ss1,f1,fdist,prob,ss2,siglev,b1,mnx,dt,\n soln,pobj,title,alf},\n \ y=Flatten[Take[Transpose[d],1]];\n x=Drop[Transpose[d],1];\n \ nt=Length[d];(*N total*)\n ngrp=Length[ng];\n \ ncv=-1+Last[Dimensions[d]];(*# covariates *)\n x=Transpose[\n \ Partition[Join[Table[1,{nt}],Flatten[x]],nt]];\n \n (*now set up the design \ matrix*)\n dm=cradd[getMp[1,x,ng],getMp[2,x,ng]];\n \ Do[dm=cradd[dm,getMp[j,x,ng]],{j,3,ngrp}];\n xtx=Transpose[dm].dm;\n \ b=N[Inverse[xtx].Transpose[dm].y];\n Print[\"Mu-Model Parameter \ Estimates\"];\n Print[TableForm[b,TableSpacing->{0},\n \ TableHeadings->Automatic]];\n ssmcfm=(b.xtx.b)-(Apply[Plus,y]^2)/nt;\n \ dfm=Length[xtx]-1;Print[\"\"];\n Print[\"SSmcfm=\",ssmcfm,\" dfm=\",dfm];\n \ dfe=Dimensions[dm].{1,-1};\n mse=((y.y)-b.Transpose[dm].y)/dfe;\n \ Print[\"Mean Square Error=\",mse,\" dfe=\",dfe];\n \ f1=(ssmcfm/dfm)/mse;Print[\"Fmodel=\",f1];\n \ fdist=FRatioDistribution[dfm,dfe];\n prob=1-CDF[fdist,f1];\n \ Print[\"Probability=\",prob];\n (*now plot the lines or planes*)\n \ dt=Transpose[d]; (*for convenience*)\n mnx=List[];\n \ Do[AppendTo[mnx,Min[dt[[i]]]];\n \ AppendTo[mnx,Max[dt[[i]]]],{i,2,Length[dt]}];\n Print[\"Covariate Range\"];\n\ Print[mnx]; \n (*Plot regression lines or planes *)\n Which[ncv==1, \ title=\"Regression Lines\";\n b1=Partition[Flatten[b],2]; \n \ plotLines[b1,mnx,title],\n ncv==2, title=\"Regression Planes\";\n \ b1=Partition[Flatten[b],3];\n \ plotRp[b1,Table[mnx,{2}],title];,\n ncv>2, Print[\"#cov>2,so no \ plots\"];\n ]; (*end Which*)\n \n (*now test each cov regr coeff*)\n \ con=Join[{1,0},Table[0,{ncv-1}]];\n Do[con=RotateRight[con,1];\n \ concv=knTrst[con,ngrp];\n Print[\"Contrast matrix covariate \",j];\n \ Print[TableForm[concv,TableSpacing->{0,4}]];\n ss1=ssk[concv,xtx,b];\n \ dfc=Length[concv];\n Print[\"SS covariate=\",ss1,\" dfc=\",dfc];\n \ f1=(ss1/dfc)/mse;\n Print[\"F1=\",f1];\n \ Needs[\"Statistics`ContinuousDistributions`\"];\n \ fdist=FRatioDistribution[dfc,dfe];\n prob=1-CDF[fdist,f1];\n \ Print[\"Probability=\",prob];\n ,{j,1,ncv}];(*end do*)\n \n (*Now do the \ symbolic processing*)\n concv=knTrst[Join[{1},Take[{p,q},ncv]],ngrp];\n \ Print[\"Symbolic Contrast Matrix\"];\n \ Print[TableForm[concv,TableSpacing->{0,4}]];\n \ ss2=Simplify[ssk[concv,xtx,b]]; (*symbolic sum of squares*)\n \n (*Do 2D \ plot & Solve, or 3D plots*)\n Which[ncv==1,\n alf=Input[\"Type the level \ of alpha, e.g.,.05\"];\n Print[\"Alpha=\",alf];\n siglev=mse dfc \n \ Quantile[FRatioDistribution[dfc,dfe],1-alf];\n Print[\"Point of \ Signficance: MSe x dfc x F=\",siglev]; \n \ Plot[ss2-siglev,{p,mnx[[1]],mnx[[2]]},\n PlotLabel->\"Quadratic \ Plot\",\n AxesLabel->{\"x\",\"ss-c\"}];\n \ soln=Solve[ss2-siglev==0,p];\n Print[\"Solution to Quadratic \ is\",soln];,\n ncv==2,\n int3dplot[mnx,ss2,mse,dfc,dfe];\n \ ]; (*end Which*)\n \n If[\"y\"==InputString[\"Check covariate \ point sets? y/n\"],\n chkPts[xtx,b,mse,dfe,ngrp]];\n \n \ Return[ss2];\n ]; (*end module *)\n "], "Input", AspectRatioFixed->True], Cell[TextData[ "Syntax::newl: \n The newline character after \" siglev=mse dfc \"\n \ is understood as a multiplication operator."], "Message", Evaluatable->False, AspectRatioFixed->True]}, Open]], Cell[TextData[ "Data matrix: {y,cov1,cov2} one observation per row as shown below for 2 \ covariate case."], "Subsubsection", Evaluatable->False, AspectRatioFixed->True], Cell[CellGroupData[{Cell[TextData[ "data={{7,4,5},{10,6,5},{9,8,9},{11,9,8},{14,12,11},\n \ {6,4,3},{7,6,7},{8,8,7},{8,10,11},{9,12,10},\n \ {6,4,3},{6,6,7},{5,7,6},{5,10,11},{4,13,12}}"], "Input", AspectRatioFixed->True], Cell[OutputFormData[ "\<\ {{7, 4, 5}, {10, 6, 5}, {9, 8, 9}, {11, 9, 8}, {14, 12, 11}, {6, 4, 3}, {7, 6, 7}, {8, 8, 7}, {8, 10, 11}, {9, 12, 10}, {6, 4, 3}, {6, 6, 7}, {5, 7, 6}, {5, 10, 11}, {4, 13, 12}}\ \>", "\<\ {{7, 4, 5}, {10, 6, 5}, {9, 8, 9}, {11, 9, 8}, {14, 12, 11}, {6, 4, 3}, {7, 6, 7}, {8, 8, 7}, {8, 10, 11}, {9, 12, 10}, {6, 4, 3}, {6, 6, 7}, {5, 7, 6}, {5, 10, 11}, {4, 13, 12}}\ \>"], "Output", Evaluatable->False, AspectRatioFixed->True]}, Open]], Cell[CellGroupData[{Cell[TextData["ssjn=ancvjn[data,{5,5,5}] (*2 covariate case*)"], "Input", AspectRatioFixed->True], Cell[TextData[ "Mu-Model Parameter Estimates\n\n1 5.21795\n2 1.52564\n3 -0.910256\n4 \ 4.82353\n5 0.402941\n6 -0.0588235\n7 7.01\n8 -0.47\n9 0.25\n\n\ SSmcfm=96.1563 dfm=8\nMean Square Error=0.196164 dfe=6\nFmodel=61.273\n\ Probability=0.0000344107\nCovariate Range\n{4, 13, 3, 12}\nContrast matrix \ covariate 1\n0 1 0 0 -1 0 0 0 0\n0 0 0 0 \ 1 0 0 -1 0\nSS covariate=9.00972 dfc=2\nF1=22.9648\n\ Probability=0.00154245\nContrast matrix covariate 2\n0 0 1 0 0 \ -1 0 0 0\n0 0 0 0 0 1 0 0 -1\nSS \ covariate=2.78457 dfc=2\nF1=7.09756\nProbability=0.0262249\nSymbolic Contrast \ Matrix\n1 p q -1 -p -q 0 0 0\n0 0 0 1 \ p q -1 -p -q\nAlpha=0.05\nPoint of Signficance (c): MSe x dfc x \ F=2.01784\nPlot ranges are:{0, 15, 0, 15}\nPlotPoints=15\nAlpha={0.05, 0.01, \ 0.001, 0.0001}\nPoints of Signficance: MSe x dfc x F are\n{2.01784, 4.28609, \ 10.5929, 24.1804}\nAlpha=0.01\nPoint of Signficance (c): MSe x dfc x \ F=4.28609\nPlot ranges are:{0, 15, 0, 15}\nPlotPoints=15\nAlpha={0.01, 0.001, \ 0.0001}\nPoints of Signficance: MSe x dfc x F are\n{4.28609, 10.5929, \ 24.1804}\n\nProbability of Covariate set points\nContrast Matrix\n{{1, 8, 8, \ -1, -8, -8, 0, 0, 0}, {0, 0, 0, 1, 8, 8, -1, -8, -8}}\n\ MS=28.0652,df=2,F=143.07\n -6\nProbability=8.6632 10"], "Print", Evaluatable->False, AspectRatioFixed->True], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: .82055 MathPictureStart %% Graphics3D /Courier findfont 10 scalefont setfont % Scaling calculations 0.0249355 0.99742 -0.0396341 0.99742 [ [(Regression Planes)] .5 .82055 0 -1.5 Msboxa [(4)] .06425 .25367 1 .94269 Msboxa [(6)] .18413 .20649 .97255 1 Msboxa [(8)] .31021 .1569 .8843 1 Msboxa [(10)] .44296 .10469 .79605 1 Msboxa [(12)] .58294 .04968 .7078 1 Msboxa [(x1)] .30204 .09689 .86223 1 Msboxa [(4)] .69877 .03239 -1 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m .6816 .55575 L p .6794 .55891 L .632 .743 .928 r F P s P p .66166 .58439 m .67428 .55744 L .6794 .55891 L .632 .743 .928 r F P p .002 w .67428 .55744 m .68166 .55698 L p .6794 .55891 L .505 .75 .983 r F P s P p .002 w .39884 .55511 m .42018 .57687 L .38452 .59034 L p .685 .742 .894 r F P s P p .002 w .38452 .59034 m .36287 .56888 L .39884 .55511 L p .685 .742 .894 r F P s P p .002 w .58698 .55316 m .60598 .57324 L .56904 .58179 L p .632 .743 .928 r F P s P p .002 w .56904 .58179 m .5497 .56198 L .58698 .55316 L p .632 .743 .928 r F P s P p .002 w .34126 .53655 m .36347 .55685 L .32836 .56553 L p .632 .743 .928 r F P s P p .002 w .32836 .56553 m .30587 .54549 L .34126 .53655 L p .632 .743 .928 r F P s P p .002 w .43533 .53909 m .45636 .55941 L .42046 .56809 L p .632 .743 .928 r F P s P p .002 w .42046 .56809 m .39912 .54804 L .43533 .53909 L p .632 .743 .928 r F P s P p .002 w .31971 .49629 m .34263 .51245 L .30792 .51523 L p .505 .75 .983 r F P s P p .002 w .30792 .51523 m .28471 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.742 .894 r F P s P p .002 w .58685 .54639 m .62484 .54388 L p .60985 .55781 L .505 .75 .983 r F P s P p .002 w .5944 .55252 m .58685 .54639 L p .60985 .55781 L .505 .75 .983 r F P s P p .002 w .71891 .52403 m .73636 .54631 L .69855 .56004 L p .685 .742 .894 r F P s P p .002 w .69855 .56004 m .68074 .53808 L .71891 .52403 L p .685 .742 .894 r F P s P p .002 w .52985 .53545 m .54967 .55759 L .51739 .56962 L p .685 .742 .894 r F P s P p .002 w .51739 .56962 m .513 .57066 L p .51447 .56812 L .632 .743 .928 r F P s P p .002 w .51739 .56962 m .513 .57126 L p .51447 .56812 L .685 .742 .894 r F P s P p .51447 .56812 m .52985 .53545 L .51739 .56962 L .685 .742 .894 r F P p .002 w .52986 .54164 m .5497 .56198 L .51739 .56962 L p .632 .743 .928 r F P s P p .51447 .56812 m .52986 .54164 L .51739 .56962 L .632 .743 .928 r F P p .002 w .49283 .54943 m .52985 .53545 L p .51447 .56812 L .685 .742 .894 r F P s P p .002 w .513 .57066 m .50618 .56388 L p .51447 .56812 L .632 .743 .928 r F P s P p .002 w 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L .67428 .55744 L p .632 .743 .928 r F P s P p .002 w .67428 .55744 m .6433 .55935 L p .65251 .55117 L .505 .75 .983 r F P s P p .002 w .67428 .55744 m .6435 .56456 L p .65251 .55117 L .632 .743 .928 r F P s P p .65251 .55117 m .66332 .53511 L .67428 .55744 L .632 .743 .928 r F P p .002 w .66359 .54132 m .68166 .55698 L .67428 .55744 L p .505 .75 .983 r F P s P p .65251 .55117 m .66359 .54132 L .67428 .55744 L .505 .75 .983 r F P p .002 w .6433 .55935 m .62484 .54388 L .62679 .54375 L p .505 .75 .983 r F P s P p .002 w .6435 .56456 m .62485 .54421 L .62679 .54375 L p .632 .743 .928 r F P s P p .002 w .62679 .54375 m .66332 .53511 L p .65251 .55117 L .632 .743 .928 r F P s P p .6433 .55935 m .62679 .54375 L .65251 .55117 L .505 .75 .983 r F P p .6435 .56456 m .62679 .54375 L .65251 .55117 L .632 .743 .928 r F P p .002 w .62679 .54375 m .66359 .54132 L p .65251 .55117 L .505 .75 .983 r F P s P p .002 w .41373 .51822 m .43533 .53909 L .39912 .54804 L p .632 .743 .928 r F P s P p .002 w 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p .54271 .51952 L .632 .743 .928 r F P s P p .002 w .54747 .51443 m .55982 .52446 L p .54426 .51997 L .505 .75 .983 r F P s P p .002 w .70313 .53871 m .72079 .55457 L .68166 .55698 L p .505 .75 .983 r F P s P p .002 w .68166 .55698 m .66359 .54132 L .70313 .53871 L p .505 .75 .983 r F P s P p .002 w .45095 .50407 m .47216 .52704 L .45045 .53535 L p .685 .742 .894 r F P s P p .002 w .45045 .53535 m .43533 .53909 L p .43999 .53 L .632 .743 .928 r F P s P p .002 w .45045 .53535 m .43527 .54116 L p .43999 .53 L .685 .742 .894 r F P s P p .43999 .53 m .45095 .50407 L .45045 .53535 L .685 .742 .894 r F P p .002 w .45084 .50884 m .47211 .53 L .45045 .53535 L p .632 .743 .928 r F P s P p .43999 .53 m .45084 .50884 L .45045 .53535 L .632 .743 .928 r F P p .002 w .43533 .53909 m .41373 .51822 L .41591 .51767 L p .632 .743 .928 r F P s P p .002 w .43527 .54116 m .41372 .51852 L .41591 .51767 L p .685 .742 .894 r F P s P p .002 w .41591 .51767 m .45095 .50407 L p .43999 .53 L .685 .742 .894 r F P 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L .36763 .47486 L .505 .75 .983 r F P p .002 w .35471 .50632 m .33159 .4846 L .34459 .48116 L p .632 .743 .928 r F P s P p .002 w .34459 .48116 m .36372 .47352 L p .35981 .48895 L .685 .742 .894 r F P s P p .35471 .50632 m .34459 .48116 L .36195 .49005 L .632 .743 .928 r F P p .36195 .49005 m .36372 .47352 L .36763 .47486 L .685 .742 .894 r F P p .35452 .50989 m .35981 .48895 L .36195 .49005 L .685 .742 .894 r F P p .35981 .48895 m .36372 .47352 L .36195 .49005 L .685 .742 .894 r F P p .002 w .36372 .47352 m .36891 .47145 L p .36763 .47486 L .685 .742 .894 r F P s P p .002 w .36372 .47352 m .36883 .47306 L p .36763 .47486 L .505 .75 .983 r F P s P p .002 w .34561 .44697 m .36891 .47145 L .36372 .47352 L p .685 .742 .894 r F P s P p .002 w .36372 .47352 m .33209 .47638 L p .33911 .4651 L .505 .75 .983 r F P s P p .002 w .34459 .48116 m .33159 .4846 L p .3351 .4763 L .632 .743 .928 r F P s P p .002 w .36372 .47352 m .34459 .48116 L p .33911 .4651 L .685 .742 .894 r F P s P p .3351 .4763 m .33911 .4651 L .34459 .48116 L .685 .742 .894 r F P p .33911 .4651 m .34561 .44697 L .36372 .47352 L .685 .742 .894 r F P p .33911 .4651 m .34135 .4615 L .36372 .47352 L .505 .75 .983 r F P p .002 w .30806 .45899 m .33209 .47638 L .29609 .47963 L p .505 .75 .983 r F P s P p .002 w .33159 .4846 m .29503 .49428 L p .30781 .46233 L .632 .743 .928 r F P s P p .002 w .33148 .48639 m .29453 .50115 L p .30781 .46233 L .685 .742 .894 r F P s P p .002 w .30783 .46227 m .30797 .46242 L p .30781 .46233 L .685 .742 .894 r F P s P p .002 w .30797 .46242 m .33159 .4846 L p .30781 .46233 L .632 .743 .928 r F P s P p .002 w .30797 .46242 m .33148 .48639 L p .30781 .46233 L .685 .742 .894 r F P s P p .002 w .30783 .46228 m .30797 .46242 L p .30781 .46233 L .632 .743 .928 r F P s P p .002 w .33209 .47638 m .30806 .45899 L .31838 .458 L p .505 .75 .983 r F P s P p .33209 .47638 m .31838 .458 L .32766 .46118 L .505 .75 .983 r F P p .002 w .31838 .458 m .34561 .44697 L p .33911 .4651 L .685 .742 .894 r F 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r F P s P p .002 w .36891 .47145 m .34561 .44697 L .38388 .43146 L p .685 .742 .894 r F P s P p .002 w .40683 .45631 m .42918 .4805 L .40821 .48876 L p .685 .742 .894 r F P s P p .39582 .48452 m .40683 .45631 L .40821 .48876 L .685 .742 .894 r F P p .002 w .42898 .48699 m .40821 .48876 L p .4074 .48053 L .505 .75 .983 r F P s P p .002 w .40821 .48876 m .39182 .49015 L p .39582 .48452 L .505 .75 .983 r F P s P p .002 w .40652 .46476 m .42848 .48661 L p .40012 .47843 L .632 .743 .928 r F P s P p .39582 .48452 m .40012 .47843 L .40821 .48876 L .505 .75 .983 r F P p .40012 .47843 m .40633 .46967 L .4074 .48053 L .505 .75 .983 r F P p .40012 .47843 m .4074 .48053 L .40821 .48876 L .505 .75 .983 r F P p .002 w .36891 .47145 m .40683 .45631 L p .39582 .48452 L .685 .742 .894 r F P s P p .39182 .49015 m .38483 .48075 L .39582 .48452 L .505 .75 .983 r F P p .002 w .37435 .47717 m .36891 .47145 L p .39582 .48452 L .685 .742 .894 r F P s P p .002 w .39182 .49015 m .36883 .47306 L .37846 .47219 L p .505 .75 .983 r F P s P p .002 w .39161 .49529 m .37435 .47717 L p .39582 .48452 L .685 .742 .894 r F P s P p .002 w .39154 .49679 m .36875 .47476 L .37846 .47219 L p .632 .743 .928 r F P s P p .002 w .37846 .47219 m .40652 .46476 L p .40012 .47843 L .632 .743 .928 r F P s P p .002 w .40821 .48876 m .39161 .49529 L p .39582 .48452 L .685 .742 .894 r F P s P p .39582 .48452 m .37846 .47219 L .40012 .47843 L .505 .75 .983 r F P p .38483 .48075 m .37846 .47219 L .39582 .48452 L .505 .75 .983 r F P p .39154 .49679 m .37846 .47219 L .40012 .47843 L .632 .743 .928 r F P p .002 w .42898 .4871 m .39154 .49679 L p .40012 .47843 L .632 .743 .928 r F P s P p .002 w .42848 .48661 m .42898 .48699 L p .4074 .48053 L .505 .75 .983 r F P s P p .002 w .42848 .48661 m .42898 .4871 L p .40012 .47843 L .632 .743 .928 r F P s P p .002 w .40633 .46967 m .42848 .48661 L p .4074 .48053 L .505 .75 .983 r F P s P p .002 w .38342 .44179 m .40652 .46476 L .37846 .47219 L p .632 .743 .928 r F P s P p .37086 .47 m .38342 .44179 L .37846 .47219 L .632 .743 .928 r F P p .002 w .38296 .45181 m .40633 .46967 L .37846 .47219 L p .505 .75 .983 r F P s P p .002 w .37846 .47219 m .36883 .47306 L p .37086 .47 L .505 .75 .983 r F P s P p .37086 .47 m .38296 .45181 L .37846 .47219 L .505 .75 .983 r F P p .002 w .34531 .45212 m .38342 .44179 L p .37086 .47 L .632 .743 .928 r F P s P p .002 w .36883 .47306 m .36082 .46711 L p .37086 .47 L .505 .75 .983 r F P s P p .002 w .36875 .47476 m .36082 .46711 L p .37086 .47 L .632 .743 .928 r F P s P p .002 w .36082 .46711 m .34531 .45212 L p .37086 .47 L .632 .743 .928 r F P s P p .002 w .37846 .47219 m .36875 .47476 L p .37086 .47 L .632 .743 .928 r F P s P p .002 w .37846 .47219 m .40633 .46967 L p .40012 .47843 L .505 .75 .983 r F P s P p .002 w .34512 .45544 m .38296 .45181 L p .37086 .47 L .505 .75 .983 r F P s P p .002 w .36082 .46711 m .34512 .45544 L p .37086 .47 L .505 .75 .983 r F P s P p .002 w .32651 .45722 m .34512 .45544 L p .34135 .4615 L .505 .75 .983 r F P s P p .002 w .30783 .46228 m .32651 .45722 L p .3351 .4763 L .632 .743 .928 r F P s P p .3351 .4763 m .32651 .45722 L .34135 .4615 L .632 .743 .928 r F P p .002 w .30797 .46242 m .30783 .46228 L p .3351 .4763 L .632 .743 .928 r F P s P p .002 w .34459 .48116 m .33148 .48639 L p .3351 .4763 L .685 .742 .894 r F P s P p .002 w .34512 .45544 m .36082 .46711 L p .34135 .4615 L .505 .75 .983 r F P s P p .002 w .36875 .47476 m .34459 .48116 L p .34505 .46256 L .632 .743 .928 r F P s P p .002 w .36082 .46711 m .36875 .47476 L p .34505 .46256 L .632 .743 .928 r F P s P p .002 w .34459 .48116 m .36875 .47476 L p .36195 .49005 L .632 .743 .928 r F P s P p .002 w .35452 .50989 m .33148 .48639 L .34459 .48116 L p .685 .742 .894 r F P s P p .35452 .50989 m .34459 .48116 L .35981 .48895 L .685 .742 .894 r F P p .002 w .52686 .48962 m .54745 .51137 L .52967 .51577 L p .632 .743 .928 r F P s P p .002 w .52967 .51577 m .50949 .51728 L p .51468 .51145 L .505 .75 .983 r F P s P p .002 w .52967 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L .74007 .48663 L p .685 .742 .894 r F P s P p .002 w .74007 .48663 m .7221 .46284 L .76205 .44775 L p .685 .742 .894 r F P s P p .002 w .66381 .45367 m .68266 .47774 L .64372 .49244 L p .685 .742 .894 r F P s P p .002 w .64372 .49244 m .62449 .46873 L .66381 .45367 L p .685 .742 .894 r F P s P p .002 w .56554 .4596 m .58567 .48359 L .54735 .49826 L p .685 .742 .894 r F P s P p .002 w .54735 .49826 m .52685 .47461 L .56554 .4596 L p .685 .742 .894 r F P s P p .002 w .29609 .47963 m .27176 .46247 L .30806 .45899 L p .505 .75 .983 r F P s P p .002 w .46724 .46552 m .48865 .48944 L .45187 .50371 L p .685 .742 .894 r F P s P p .002 w .45187 .50371 m .45095 .50379 L p .4512 .50348 L .505 .75 .983 r F P s P p .002 w .45187 .50371 m .45095 .50407 L p .4512 .50348 L .685 .742 .894 r F P s P p .4512 .50348 m .46724 .46552 L .45187 .50371 L .685 .742 .894 r F P p .002 w .46703 .47726 m .48854 .49931 L .48003 .50146 L p .632 .743 .928 r F P s P p .002 w .48003 .50146 m .45187 .50371 L p .45829 .4952 L .505 .75 .983 r F P s P p .45789 .49508 m .46703 .47726 L .48003 .50146 L .632 .743 .928 r F P p .4512 .50348 m .45789 .49508 L .45187 .50371 L .505 .75 .983 r F P p .45789 .49508 m .46691 .48376 L .45829 .4952 L .505 .75 .983 r F P p .45789 .49508 m .45829 .4952 L .45187 .50371 L .505 .75 .983 r F P p .002 w .42918 .4805 m .46724 .46552 L p .4512 .50348 L .685 .742 .894 r F P s P p .002 w .45003 .50308 m .42918 .4805 L p .4512 .50348 L .685 .742 .894 r F P s P p .002 w .42963 .48694 m .46703 .47726 L p .45789 .49508 L .632 .743 .928 r F P s P p .002 w .42898 .48699 m .42963 .48694 L p .4512 .50348 L .505 .75 .983 r F P s P p .002 w .42963 .48694 m .46691 .48376 L p .45789 .49508 L .505 .75 .983 r F P s P p .4512 .50348 m .42963 .48694 L .45789 .49508 L .505 .75 .983 r F P p .002 w .45095 .50379 m .45003 .50308 L p .4512 .50348 L .505 .75 .983 r F P s P p .002 w .45003 .50308 m .42898 .48699 L p .4512 .50348 L .505 .75 .983 r F P s P p .002 w .45095 .50407 m .45003 .50308 L p .4512 .50348 L .685 .742 .894 r F P s P p .002 w .45084 .50884 m .42898 .4871 L .42963 .48694 L p .632 .743 .928 r F P s P p .45084 .50884 m .42963 .48694 L .45789 .49508 L .632 .743 .928 r F P p .002 w .48003 .50146 m .45084 .50884 L p .45789 .49508 L .632 .743 .928 r F P s P p .002 w .46691 .48376 m .48853 .50078 L .48003 .50146 L p .505 .75 .983 r F P s P p .45829 .4952 m .46691 .48376 L .48003 .50146 L .505 .75 .983 r F P p .002 w .62577 .50854 m .64497 .52518 L .60582 .52794 L p .505 .75 .983 r F P s P p .002 w .60582 .52794 m .58622 .51152 L .62577 .50854 L p .505 .75 .983 r F P s P p .002 w .78464 .53332 m .80142 .54958 L .7607 .5521 L p .505 .75 .983 r F P s P p .002 w .7607 .5521 m .74347 .53604 L .78464 .53332 L p .505 .75 .983 r F P s P p .002 w .27055 .47738 m .29453 .50115 L .25806 .51571 L p .685 .742 .894 r F P s P p .002 w .25806 .51571 m .23375 .49229 L .27055 .47738 L p .685 .742 .894 r F P s P p .002 w .72412 .49468 m .74212 .51648 L .70241 .52587 L p .632 .743 .928 r F P s P p .002 w .70241 .52587 m .68401 .50438 L .72412 .49468 L p .632 .743 .928 r F P s P p .002 w .82351 .49724 m .84019 .51905 L .79959 .52845 L p .632 .743 .928 r F P s P p .002 w .79959 .52845 m .78248 .50694 L .82351 .49724 L p .632 .743 .928 r F P s P p .002 w .56581 .47977 m .58603 .50184 L .54745 .51137 L p .632 .743 .928 r F P s P p .002 w .54745 .51137 m .52686 .48962 L .56581 .47977 L p .632 .743 .928 r F P s P p .002 w .29503 .49428 m .27096 .47228 L .30775 .4623 L p .632 .743 .928 r F P s P p .29503 .49428 m .30775 .4623 L .30781 .46233 L .632 .743 .928 r F P p .002 w .29453 .50115 m .27055 .47738 L .30775 .4623 L p .685 .742 .894 r F P s P p .002 w .30775 .4623 m .30783 .46227 L p .30781 .46233 L .685 .742 .894 r F P s P p .29453 .50115 m .30775 .4623 L .30781 .46233 L .685 .742 .894 r F P p .002 w .30775 .4623 m .30783 .46228 L p .30781 .46233 L .632 .743 .928 r F P s P p .002 w .24666 .44477 m .27176 .46247 L .23618 .46588 L p .505 .75 .983 r F P s P p .002 w .23618 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.56581 .47977 L .6054 .46976 L p .632 .743 .928 r F P s P p .002 w .84354 .41697 m .86026 .44183 L .81968 .45696 L p .685 .742 .894 r F P s P p .002 w .81968 .45696 m .80253 .43246 L .84354 .41697 L p .685 .742 .894 r F P s P p .002 w .74402 .42297 m .76205 .44775 L .7221 .46284 L p .685 .742 .894 r F P s P p .002 w .7221 .46284 m .70365 .43842 L .74402 .42297 L p .685 .742 .894 r F P s P p .002 w .64446 .42896 m .66381 .45367 L .62449 .46873 L p .685 .742 .894 r F P s P p .002 w .62449 .46873 m .60474 .44438 L .64446 .42896 L p .685 .742 .894 r F P s P p .002 w .54487 .43496 m .56554 .4596 L .52685 .47461 L p .685 .742 .894 r F P s P p .002 w .52685 .47461 m .5058 .45034 L .54487 .43496 L p .685 .742 .894 r F P s P p .002 w .44526 .44096 m .46724 .46552 L .42918 .4805 L p .685 .742 .894 r F P s P p .002 w .42918 .4805 m .40683 .45631 L .44526 .44096 L p .685 .742 .894 r F P s P p .002 w .24593 .45297 m .27055 .47738 L .23375 .49229 L p .685 .742 .894 r F P s P p .002 w .23375 .49229 m 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r F P s P p .002 w .32121 .42884 m .34531 .45212 L .32651 .45722 L p .632 .743 .928 r F P s P p .002 w .32651 .45722 m .31838 .458 L p .31871 .45497 L .505 .75 .983 r F P s P p .002 w .31838 .458 m .30806 .45899 L p .31025 .45521 L .505 .75 .983 r F P s P p .31025 .45521 m .32167 .42182 L .31838 .458 L .685 .742 .894 r F P p .31158 .45292 m .32121 .42884 L .32651 .45722 L .632 .743 .928 r F P p .31025 .45521 m .31158 .45292 L .31838 .458 L .505 .75 .983 r F P p .31158 .45292 m .32066 .43725 L .31871 .45497 L .505 .75 .983 r F P p .31158 .45292 m .31871 .45497 L .31838 .458 L .505 .75 .983 r F P p .002 w .29619 .4504 m .28355 .4375 L p .31025 .45521 L .685 .742 .894 r F P s P p .002 w .28341 .43934 m .32121 .42884 L p .31158 .45292 L .632 .743 .928 r F P s P p .002 w .31838 .458 m .30783 .46227 L p .31025 .45521 L .685 .742 .894 r F P s P p .002 w .29179 .44721 m .28341 .43934 L p .31158 .45292 L .632 .743 .928 r F P s P p .002 w .28341 .43934 m .29179 .44721 L p .28154 .44426 L .632 .743 .928 r F P s P p .002 w .30806 .45899 m .28327 .44105 L .32066 .43725 L p .505 .75 .983 r F P s P p .002 w .30783 .46227 m .29619 .4504 L p .31025 .45521 L .685 .742 .894 r F P s P p .28104 .44521 m .2946 .44986 L .30779 .46225 L .685 .742 .894 r F P p .2946 .44986 m .29619 .4504 L .30779 .46225 L .685 .742 .894 r F P p .002 w .29619 .4504 m .30783 .46227 L p .30779 .46225 L .685 .742 .894 r F P s P p .002 w .30783 .46228 m .29179 .44721 L p .31158 .45292 L .632 .743 .928 r F P s P p .002 w .32651 .45722 m .30783 .46228 L p .31158 .45292 L .632 .743 .928 r F P s P p .002 w .32066 .43725 m .34512 .45544 L .32651 .45722 L p .505 .75 .983 r F P s P p .31871 .45497 m .32066 .43725 L .32651 .45722 L .505 .75 .983 r F P p .002 w .30783 .46228 m .30775 .4623 L p .28154 .44426 L .632 .743 .928 r F P s P p .002 w .30775 .4623 m .27096 .47228 L p .28008 .44814 L .632 .743 .928 r F P s P p .28008 .44814 m .28104 .44521 L .30775 .4623 L .685 .742 .894 r F P p .28008 .44814 m .28154 .44426 L .30775 .4623 L .632 .743 .928 r F P p .002 w .30775 .4623 m .27055 .47738 L p .28008 .44814 L .685 .742 .894 r F P s P p .002 w .29179 .44721 m .30783 .46228 L p .28154 .44426 L .632 .743 .928 r F P s P p .002 w .28327 .44105 m .29179 .44721 L p .28154 .44426 L .505 .75 .983 r F P s P p .002 w .27176 .46247 m .24666 .44477 L .27218 .44218 L p .505 .75 .983 r F P s P p .002 w .27218 .44218 m .28355 .4375 L p .28104 .44521 L .685 .742 .894 r F P s P p .002 w .27218 .44218 m .27375 .44202 L p .27369 .44269 L .505 .75 .983 r F P s P p .27176 .46247 m .27218 .44218 L .27369 .44269 L .505 .75 .983 r F P p .002 w .27096 .47228 m .24622 .44966 L .2701 .44303 L p .632 .743 .928 r F P s P p .002 w .2701 .44303 m .27218 .44218 L p .27209 .44405 L .685 .742 .894 r F P s P p .27176 .46247 m .27375 .44202 L .28154 .44426 L .505 .75 .983 r F P p .27096 .47228 m .2701 .44303 L .2735 .44477 L .632 .743 .928 r F P p .28008 .44814 m .27218 .44218 L .28104 .44521 L .685 .742 .894 r F P p .27096 .47228 m .2735 .44477 L .28008 .44814 L .632 .743 .928 r F P p .27055 .47738 m .27209 .44405 L .28008 .44814 L .685 .742 .894 r F P p .27209 .44405 m .27218 .44218 L .28008 .44814 L .685 .742 .894 r F P p .28008 .44814 m .27375 .44202 L .28154 .44426 L .632 .743 .928 r F P p .2735 .44477 m .27375 .44202 L .28008 .44814 L .632 .743 .928 r F P p .002 w .2701 .44303 m .27375 .44202 L p .2735 .44477 L .632 .743 .928 r F P s P p .002 w .27055 .47738 m .24593 .45297 L .2701 .44303 L p .685 .742 .894 r F P s P p .27055 .47738 m .2701 .44303 L .27209 .44405 L .685 .742 .894 r F P p .002 w .27375 .44202 m .28341 .43934 L p .28154 .44426 L .632 .743 .928 r F P s P p .002 w .27375 .44202 m .28327 .44105 L p .28154 .44426 L .505 .75 .983 r F P s P p .002 w .44491 .4546 m .46703 .47726 L .42963 .48694 L p .632 .743 .928 r F P s P p .002 w .42963 .48694 m .42898 .48699 L p .42913 .48679 L .505 .75 .983 r F P s P p .002 w .42963 .48694 m .42898 .4871 L p .42913 .48679 L .632 .743 .928 r F P s P p .42913 .48679 m .44491 .4546 L .42963 .48694 L .632 .743 .928 r F P p .002 w .44462 .46621 m .46691 .48376 L .42963 .48694 L p .505 .75 .983 r F P s P p .42913 .48679 m .44462 .46621 L .42963 .48694 L .505 .75 .983 r F P p .002 w .40652 .46476 m .44491 .4546 L p .42913 .48679 L .632 .743 .928 r F P s P p .002 w .42898 .48699 m .42848 .48661 L p .42913 .48679 L .505 .75 .983 r F P s P p .002 w .42898 .4871 m .42848 .48661 L p .42913 .48679 L .632 .743 .928 r F P s P p .002 w .42848 .48661 m .40652 .46476 L p .42913 .48679 L .632 .743 .928 r F P s P p .002 w .40633 .46967 m .44462 .46621 L p .42913 .48679 L .505 .75 .983 r F P s P p .002 w .42848 .48661 m .40633 .46967 L p .42913 .48679 L .505 .75 .983 r F P s P p .002 w .60597 .49138 m .62577 .50854 L .58622 .51152 L p .505 .75 .983 r F P s P p .002 w .58622 .51152 m .56601 .49458 L .60597 .49138 L p .505 .75 .983 r F P s P p .002 w .76733 .51655 m .78464 .53332 L .74347 .53604 L p .505 .75 .983 r F P s P p .002 w .74347 .53604 m .7257 .51949 L .76733 .51655 L p .505 .75 .983 r F P s P p .002 w .92871 .54172 m .94352 .5581 L .90072 .56057 L p .505 .75 .983 r F P s P p .002 w .90072 .56057 m .8854 .5444 L .92871 .54172 L p .505 .75 .983 r F P s P p .002 w .80635 .47481 m .82351 .49724 L .78248 .50694 L p .632 .743 .928 r F P s P p .002 w .78248 .50694 m .7649 .48483 L .80635 .47481 L p .632 .743 .928 r F P s P p .002 w .54503 .45708 m .56581 .47977 L .52686 .48962 L p .632 .743 .928 r F P s P p .002 w .52686 .48962 m .5057 .46725 L .54503 .45708 L p .632 .743 .928 r F P s P p .002 w .8851 .40128 m .90138 .42651 L .86026 .44183 L p .685 .742 .894 r F P s P p .002 w .86026 .44183 m .84354 .41697 L .8851 .40128 L p .685 .742 .894 r F P s P p .002 w .78492 .40731 m .80253 .43246 L .76205 .44775 L p .685 .742 .894 r F P s P p .002 w .76205 .44775 m .74402 .42297 L .78492 .40731 L p .685 .742 .894 r F P s P p .002 w .68471 .41334 m .70365 .43842 L .66381 .45367 L p .685 .742 .894 r F P s P p .002 w .66381 .45367 m .64446 .42896 L 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p .505 .75 .983 r F P s P p .002 w .20401 .38369 m .17582 .36329 L .21452 .35835 L p .505 .75 .983 r F P s P p .002 w .38862 .38551 m .41358 .40577 L .37333 .4101 L p .505 .75 .983 r F P s P p .002 w .37333 .4101 m .34797 .39014 L .38862 .38551 L p .505 .75 .983 r F P s P p .002 w .56273 .41266 m .58479 .43247 L .54265 .43651 L p .505 .75 .983 r F P s P p .002 w .54265 .43651 m .52013 .41699 L .56273 .41266 L p .505 .75 .983 r F P s P p .002 w .73685 .43982 m .75602 .45917 L .71199 .46292 L p .505 .75 .983 r F P s P p .002 w .71199 .46292 m .69231 .44384 L .73685 .43982 L p .505 .75 .983 r F P s P p .002 w .15019 .31419 m .17842 .34071 L .13996 .35251 L p .632 .743 .928 r F P s P p .002 w .13996 .35251 m .1114 .3264 L .15019 .31419 L p .632 .743 .928 r F P s P p .002 w .82147 .35488 m .83972 .38084 L .79541 .3923 L p .632 .743 .928 r F P s P p .002 w .79541 .3923 m .77665 .36675 L .82147 .35488 L p .632 .743 .928 r F P s P p .002 w .53961 .33569 m .56209 .36195 L .52018 .37359 L p .632 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F P s P p .002 w .34987 .3572 m .32432 .33102 L .36524 .31878 L p .632 .743 .928 r F P s P p .002 w .29992 .27863 m .32588 .30762 L .28556 .325 L p .685 .742 .894 r F P s P p .002 w .28556 .325 m .2592 .29646 L .29992 .27863 L p .685 .742 .894 r F P s P p .002 w .19155 .28513 m .21907 .31404 L .17949 .33136 L p .685 .742 .894 r F P s P p .002 w .17949 .33136 m .1516 .30292 L .19155 .28513 L p .685 .742 .894 r F P s P p .002 w .75732 .34042 m .77665 .36675 L .73263 .37841 L p .632 .743 .928 r F P s P p .002 w .73263 .37841 m .7128 .35249 L .75732 .34042 L p .632 .743 .928 r F P s P p .002 w .47367 .3211 m .49728 .34774 L .45569 .35957 L p .632 .743 .928 r F P s P p .002 w .45569 .35957 m .43166 .33335 L .47367 .3211 L p .632 .743 .928 r F P s P p .002 w .18967 .30176 m .21756 .3287 L .17842 .34071 L p .632 .743 .928 r F P s P p .002 w .17842 .34071 m .15019 .31419 L .18967 .30176 L p .632 .743 .928 r F P s P p .002 w .25411 .35331 m .28162 .37434 L .24238 .37906 L p .505 .75 .983 r F P 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.66907 .36434 m .64816 .33805 L .69237 .32577 L p .632 .743 .928 r F P s P p .002 w .4069 .30633 m .43166 .33335 L .3904 .34538 L p .632 .743 .928 r F P s P p .002 w .3904 .34538 m .36524 .31878 L .4069 .30633 L p .632 .743 .928 r F P s P p .002 w .1857 .33693 m .21452 .35835 L .17582 .36329 L p .505 .75 .983 r F P s P p .002 w .17582 .36329 m .14667 .34219 L .1857 .33693 L p .505 .75 .983 r F P s P p .002 w .3628 .36455 m .38862 .38551 L .34797 .39014 L p .505 .75 .983 r F P s P p .002 w .34797 .39014 m .32175 .3695 L .3628 .36455 L p .505 .75 .983 r F P s P p .002 w .53991 .39217 m .56273 .41266 L .52013 .41699 L p .505 .75 .983 r F P s P p .002 w .52013 .41699 m .49684 .39681 L .53991 .39217 L p .505 .75 .983 r F P s P p .002 w .71703 .4198 m .73685 .43982 L .69231 .44384 L p .505 .75 .983 r F P s P p .002 w .69231 .44384 m .67195 .42412 L .71703 .4198 L p .505 .75 .983 r F P s P p .002 w .80265 .32813 m .82147 .35488 L .77665 .36675 L p .632 .743 .928 r F P s P p .002 w .77665 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L p .632 .743 .928 r F P s P p .002 w .74322 .39433 m .76316 .41537 L .71703 .4198 L p .505 .75 .983 r F P s P p .002 w .71703 .4198 m .69652 .39907 L .74322 .39433 L p .505 .75 .983 r F P s P p .002 w .76322 .27207 m .78324 .30054 L .73739 .31327 L p .632 .743 .928 r F P s P p .002 w .73739 .31327 m .71683 .28527 L .76322 .27207 L p .632 .743 .928 r F P s P p .002 w .4679 .25192 m .49255 .28072 L .44933 .29364 L p .632 .743 .928 r F P s P p .002 w .44933 .29364 m .42423 .26531 L .4679 .25192 L p .632 .743 .928 r F P s P p .002 w .67021 .15926 m .69178 .19132 L .64701 .21031 L p .685 .742 .894 r F P s P p .002 w .64701 .21031 m .62493 .17877 L .67021 .15926 L p .685 .742 .894 r F P s P p .002 w .55705 .16603 m .58031 .198 L .53635 .21694 L p .685 .742 .894 r F P s P p .002 w .53635 .21694 m .51259 .1855 L .55705 .16603 L p .685 .742 .894 r F P s P p .002 w .44384 .1728 m .4688 .20468 L .42565 .22357 L p .685 .742 .894 r F P s P p .002 w .42565 .22357 m .40022 .19222 L .44384 .1728 L p .685 .742 .894 r F P s P p .002 w .3084 .32039 m .33608 .34286 L .29462 .34814 L p .505 .75 .983 r F P s P p .002 w .29462 .34814 m .26654 .32604 L .3084 .32039 L p .505 .75 .983 r F P s P p .002 w .58142 .25414 m .60437 .28299 L .56 .29593 L p .632 .743 .928 r F P s P p .002 w .56 .29593 m .53657 .26755 L .58142 .25414 L p .632 .743 .928 r F P s P p .002 w .49182 .349 m .51629 .37096 L .47275 .37592 L p .505 .75 .983 r F P s P p .002 w .47275 .37592 m .4478 .35431 L .49182 .349 L p .505 .75 .983 r F P s P p .002 w .67527 .37761 m .69652 .39907 L .65089 .40371 L p .505 .75 .983 r F P s P p .002 w .65089 .40371 m .62909 .38258 L .67527 .37761 L p .505 .75 .983 r F P s P p .002 w .69562 .25638 m .71683 .28527 L .6713 .29823 L p .632 .743 .928 r F P s P p .002 w .6713 .29823 m .64957 .26981 L .69562 .25638 L p .632 .743 .928 r F P s P p .002 w .39832 .23608 m .42423 .26531 L .38137 .27846 L p .632 .743 .928 r F P s P p .002 w .38137 .27846 m .35503 .24971 L .39832 .23608 L p .632 .743 .928 r F P s P p .002 w .71619 .13945 m .73722 .17205 L .69178 .19132 L p .685 .742 .894 r F P s P p .002 w .69178 .19132 m .67021 .15926 L .71619 .13945 L p .685 .742 .894 r F P s P p .002 w .60217 .14627 m .62493 .17877 L .58031 .198 L p .685 .742 .894 r F P s P p .002 w .58031 .198 m .55705 .16603 L .60217 .14627 L p .685 .742 .894 r F P s P p .002 w .48812 .15309 m .51259 .1855 L .4688 .20468 L p .685 .742 .894 r F P s P p .002 w .4688 .20468 m .44384 .1728 L .48812 .15309 L p .685 .742 .894 r F P s P p .002 w .42196 .33191 m .4478 .35431 L .40481 .35949 L p .505 .75 .983 r F P s P p .002 w .40481 .35949 m .37851 .33745 L .42196 .33191 L p .505 .75 .983 r F P s P p .002 w .6065 .36069 m .62909 .38258 L .58398 .38743 L p .505 .75 .983 r F P s P p .002 w .58398 .38743 m .56086 .36589 L .6065 .36069 L p .505 .75 .983 r F P s P p .002 w .79105 .38947 m .81038 .41085 L .76316 .41537 L p .505 .75 .983 r F P s P p .002 w .76316 .41537 m .74322 .39433 L .79105 .38947 L p .505 .75 .983 r F P s P p .002 w .51239 .23827 m .53657 .26755 L .49255 .28072 L p .632 .743 .928 r F P s P p .002 w .49255 .28072 m .4679 .25192 L .51239 .23827 L p .632 .743 .928 r F P s P p .002 w .62713 .24047 m .64957 .26981 L .60437 .28299 L p .632 .743 .928 r F P s P p .002 w .60437 .28299 m .58142 .25414 L .62713 .24047 L p .632 .743 .928 r F P s P p .002 w .35126 .31462 m .37851 .33745 L .33608 .34286 L p .505 .75 .983 r F P s P p .002 w .33608 .34286 m .3084 .32039 L .35126 .31462 L p .505 .75 .983 r F P s P p .002 w .53691 .34357 m .56086 .36589 L .51629 .37096 L p .505 .75 .983 r F P s P p .002 w .51629 .37096 m .49182 .349 L .53691 .34357 L p .505 .75 .983 r F P s P p .002 w .72256 .37252 m .74322 .39433 L .69652 .39907 L p .505 .75 .983 r F P s P p .002 w .69652 .39907 m .67527 .37761 L .72256 .37252 L p .505 .75 .983 r F P s P p .002 w .74255 .24269 m .76322 .27207 L .71683 .28527 L p .632 .743 .928 r F P s P p .002 w .71683 .28527 m .69562 .25638 L .74255 .24269 L p .632 .743 .928 r F P 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.001 w .03771 .40953 m .04123 .40826 L s P p .001 w .03487 .42745 m .03839 .42618 L s P p .001 w .032 .44557 m .03552 .44432 L s P p .001 w .05929 .27338 m .06277 .27202 L s P p .001 w .02615 .48247 m .02968 .48123 L s P [(ss-c)] -0.02691 .40064 1 -0.37036 Mshowa P 0 0 m 1 0 L 1 .82055 L 0 .82055 L closepath clip newpath p .002 w .06024 .26735 m .02494 .49015 L s .02494 .49015 m .40296 .79562 L s .40296 .79562 m .41001 .59401 L s .41001 .59401 m .06024 .26735 L s .67932 .02494 m .94594 .43277 L s .94594 .43277 m .97506 .64585 L s .97506 .64585 m .69286 .25814 L s .69286 .25814 m .67932 .02494 L s .06024 .26735 m .02494 .49015 L s .02494 .49015 m .69286 .25814 L s .69286 .25814 m .67932 .02494 L s .67932 .02494 m .06024 .26735 L s .41001 .59401 m .94594 .43277 L s .94594 .43277 m .97506 .64585 L s .97506 .64585 m .40296 .79562 L s .40296 .79562 m .41001 .59401 L s P p .676 .748 .905 r .0015 w .3884 .59251 .40939 .61168 .44449 .60007 .42381 .58054 Metetra .677 .747 .904 r .42381 .58054 .44449 .60007 .48005 .5882 .4597 .56827 Metetra .678 .746 .902 r .4597 .56827 .48005 .5882 .51608 .57604 .49606 .55568 Metetra .68 .746 .901 r .49606 .55568 .51608 .57604 .55258 .56359 .5329 .54277 Metetra .681 .744 .899 r .5329 .54277 .55258 .56359 .58955 .55085 .57022 .52956 Metetra .681 .743 .897 r .57022 .52956 .58955 .55085 .62701 .53788 .60804 .51609 Metetra .68 .741 .897 r .60804 .51609 .62701 .53788 .66496 .52478 .64636 .50259 Metetra .674 .738 .898 r .64636 .50259 .66496 .52478 .70343 .51184 .68522 .48958 Metetra .655 .734 .907 r .68522 .48958 .70343 .51184 .74249 .49971 .72476 .4784 Metetra .592 .722 .934 r .72476 .4784 .74249 .49971 .78233 .48999 .76533 .47263 Metetra .305 .624 .96 r .76533 .47263 .78233 .48999 .8234 .48635 .808 .48127 Metetra .629 .07 0 r .808 .48127 .8234 .48635 .86684 .49679 .85511 .52097 Metetra .784 .359 .242 r .85511 .52097 .86684 .49679 .91458 .53198 .90742 .58675 Metetra .635 .279 .35 r .90742 .58675 .91458 .53198 .9664 .58244 .95778 .61558 Metetra .677 .748 .905 r .36685 .57288 .3884 .59251 .42381 .58054 .40259 .56052 Metetra .678 .748 .903 r .40259 .56052 .42381 .58054 .4597 .56827 .43881 .54782 Metetra .68 .747 .902 r .43881 .54782 .4597 .56827 .49606 .55568 .47551 .53476 Metetra .682 .746 .9 r .47551 .53476 .49606 .55568 .5329 .54277 .51271 .52134 Metetra .683 .744 .898 r .51271 .52134 .5329 .54277 .57022 .52956 .55039 .50758 Metetra .683 .742 .896 r .55039 .50758 .57022 .52956 .60804 .51609 .58857 .4936 Metetra .68 .74 .896 r .58857 .4936 .60804 .51609 .64636 .50259 .62726 .47978 Metetra .667 .735 .901 r .62726 .47978 .64636 .50259 .68522 .48958 .66655 .4672 Metetra .62 .725 .922 r .66655 .4672 .68522 .48958 .72476 .4784 .70668 .45907 Metetra .383 .65 .962 r .70668 .45907 .72476 .4784 .76533 .47263 .74854 .46486 Metetra .648 .1 0 r .74854 .46486 .76533 .47263 .808 .48127 .79474 .50814 Metetra .819 .416 .286 r .79474 .50814 .808 .48127 .85511 .52097 .84753 .59544 Metetra .592 .268 .39 r .84753 .59544 .85511 .52097 .90742 .58675 .89594 .61311 Metetra .194 0 0 r .89594 .61311 .90742 .58675 .95778 .61558 .94089 .59101 Metetra .678 .749 .905 r .34474 .55276 .36685 .57288 .40259 .56052 .38081 .53998 Metetra .68 .748 .903 r .38081 .53998 .40259 .56052 .43881 .54782 .41737 .52681 Metetra .682 .747 .901 r .41737 .52681 .43881 .54782 .47551 .53476 .45442 .51324 Metetra .684 .746 .898 r .45442 .51324 .47551 .53476 .51271 .52134 .49197 .49924 Metetra .685 .744 .896 r .49197 .49924 .51271 .52134 .55039 .50758 .53002 .48487 Metetra .685 .741 .894 r .53002 .48487 .55039 .50758 .58857 .4936 .56857 .47036 Metetra .677 .737 .896 r .56857 .47036 .58857 .4936 .62726 .47978 .60766 .4565 Metetra .644 .729 .91 r .60766 .4565 .62726 .47978 .66655 .4672 .64743 .44593 Metetra .467 .676 .955 r .64743 .44593 .66655 .4672 .70668 .45907 .68852 .44782 Metetra .637 .098 0 r .68852 .44782 .70668 .45907 .74854 .46486 .73347 .49239 Metetra .853 .469 .318 r .73347 .49239 .74854 .46486 .79474 .50814 .78653 .6098 Metetra .519 .23 .415 r .78653 .6098 .79474 .50814 .84753 .59544 .83217 .60252 Metetra .83217 .60252 .84753 .59544 .89594 .61311 .87796 .58818 Metetra .891 .81 .762 r .87796 .58818 .89594 .61311 .94089 .59101 .91862 .52647 Metetra .679 .75 .904 r .32203 .53215 .34474 .55276 .38081 .53998 .35844 .51891 Metetra .682 .749 .902 r .35844 .51891 .38081 .53998 .41737 .52681 .39535 .50522 Metetra .684 .748 .899 r .39535 .50522 .41737 .52681 .45442 .51324 .43277 .49106 Metetra .687 .746 .896 r .43277 .49106 .45442 .51324 .49197 .49924 .47069 .47639 Metetra .688 .743 .893 r .47069 .47639 .49197 .49924 .53002 .48487 .50911 .46133 Metetra .685 .74 .892 r .50911 .46133 .53002 .48487 .56857 .47036 .54804 .44638 Metetra .665 .733 .9 r .54804 .44638 .56857 .47036 .60766 .4565 .58753 .43349 Metetra .545 .698 .94 r .58753 .43349 .60766 .4565 .64743 .44593 .62797 .4307 Metetra .568 .036 0 r .62797 .4307 .64743 .44593 .68852 .44782 .67141 .47249 Metetra .87 .492 .328 r .67141 .47249 .68852 .44782 .73347 .49239 .7225 .60446 Metetra .502 .218 .416 r .7225 .60446 .73347 .49239 .78653 .6098 .7675 .59178 Metetra .632 .811 .969 r .7675 .59178 .78653 .6098 .83217 .60252 .81325 .5789 Metetra .91 .814 .74 r .81325 .5789 .83217 .60252 .87796 .58818 .85382 .50865 Metetra .716 .573 .692 r .85382 .50865 .87796 .58818 .91862 .52647 .8963 .4621 Metetra .681 .75 .904 r .2987 .51104 .32203 .53215 .35844 .51891 .33546 .49729 Metetra .684 .75 .901 r .33546 .49729 .35844 .51891 .39535 .50522 .37274 .48302 Metetra .687 .748 .898 r .37274 .48302 .39535 .50522 .43277 .49106 .41053 .46816 Metetra .69 .746 .894 r .41053 .46816 .43277 .49106 .47069 .47639 .44883 .45271 Metetra .691 .742 .89 r .44883 .45271 .47069 .47639 .50911 .46133 .48763 .43689 Metetra .682 .736 .892 r .48763 .43689 .50911 .46133 .54804 .44638 .52694 .42199 Metetra .609 .715 .92 r .52694 .42199 .54804 .44638 .58753 .43349 .5669 .41422 Metetra 0 .13 .617 r .5669 .41422 .58753 .43349 .62797 .4307 .60876 .44787 Metetra .89 .517 .326 r .60876 .44787 .62797 .4307 .67141 .47249 .65714 .59375 Metetra .499 .217 .416 r .65714 .59375 .67141 .47249 .7225 .60446 .70192 .58089 Metetra .701 .782 .914 r .70192 .58089 .7225 .60446 .7675 .59178 .74702 .56164 Metetra .894 .774 .722 r .74702 .56164 .7675 .59178 .81325 .5789 .78799 .48613 Metetra .697 .545 .678 r .78799 .48613 .81325 .5789 .85382 .50865 .83088 .44062 Metetra .693 .579 .724 r .83088 .44062 .85382 .50865 .8963 .4621 .8751 .40816 Metetra .683 .751 .903 r .27473 .48941 .2987 .51104 .33546 .49729 .31185 .47509 Metetra .687 .75 .9 r .31185 .47509 .33546 .49729 .37274 .48302 .3495 .46013 Metetra .691 .748 .895 r .3495 .46013 .37274 .48302 .41053 .46816 .38768 .44444 Metetra .695 .745 .89 r .38768 .44444 .41053 .46816 .44883 .45271 .42638 .42803 Metetra .693 .74 .887 r .42638 .42803 .44883 .45271 .48763 .43689 .46557 .41155 Metetra .655 .726 .901 r .46557 .41155 .48763 .43689 .52694 .42199 .50525 .39919 Metetra .008 .405 .854 r .50525 .39919 .52694 .42199 .5669 .41422 .5458 .4198 Metetra .913 .545 .319 r .5458 .4198 .5669 .41422 .60876 .44787 .59087 .58289 Metetra .498 .218 .42 r .59087 .58289 .60876 .44787 .65714 .59375 .6354 .56985 Metetra .818 .804 .839 r .6354 .56985 .65714 .59375 .70192 .58089 .67942 .53052 Metetra .828 .685 .706 r .67942 .53052 .70192 .58089 .74702 .56164 .72142 .45904 Metetra .678 .524 .669 r .72142 .45904 .74702 .56164 .78799 .48613 .76481 .41714 Metetra .683 .573 .725 r .76481 .41714 .78799 .48613 .83088 .44062 .80924 .387 Metetra .685 .614 .771 r .80924 .387 .83088 .44062 .8751 .40816 .85458 .36233 Metetra .686 .753 .902 r .25009 .46725 .27473 .48941 .31185 .47509 .28758 .45227 Metetra .691 .751 .898 r .28758 .45227 .31185 .47509 .3495 .46013 .32563 .43649 Metetra .697 .749 .892 r .32563 .43649 .3495 .46013 .38768 .44444 .36422 .41974 Metetra .701 .744 .885 r .36422 .41974 .38768 .44444 .42638 .42803 .40333 .40218 Metetra .686 .734 .887 r .40333 .40218 .42638 .42803 .46557 .41155 .44289 .38615 Metetra .393 .619 .942 r .44289 .38615 .46557 .41155 .50525 .39919 .48269 .39177 Metetra .93 .566 .304 r .48269 .39177 .50525 .39919 .5458 .4198 .52365 .56127 Metetra .519 .234 .422 r .52365 .56127 .5458 .4198 .59087 .58289 .56793 .55865 Metetra .895 .795 .741 r .56793 .55865 .59087 .58289 .6354 .56985 .61136 .48742 Metetra .74 .584 .68 r .61136 .48742 .6354 .56985 .67942 .53052 .65442 .4284 Metetra .664 .515 .672 r .65442 .4284 .67942 .53052 .72142 .45904 .69822 .39219 Metetra .675 .574 .733 r .69822 .39219 .72142 .45904 .76481 .41714 .7428 .36505 Metetra .679 .617 .78 r .7428 .36505 .76481 .41714 .80924 .387 .78815 .34213 Metetra .678 .647 .812 r .78815 .34213 .80924 .387 .85458 .36233 .83429 .3214 Metetra .69 .754 .901 r .22474 .44452 .25009 .46725 .28758 .45227 .26263 .42875 Metetra .697 .752 .894 r .26263 .42875 .28758 .45227 .32563 .43649 .3011 .4119 Metetra .704 .748 .886 r .3011 .4119 .32563 .43649 .36422 .41974 .34014 .39376 Metetra .704 .74 .88 r .34014 .39376 .36422 .41974 .40333 .40218 .37966 .37525 Metetra .595 .701 .917 r .37966 .37525 .40333 .40218 .44289 .38615 .41928 .36797 Metetra .875 .436 .078 r .41928 .36797 .44289 .38615 .48269 .39177 .45776 .4521 Metetra .682 .322 .357 r .45776 .4521 .48269 .39177 .52365 .56127 .49983 .50157 Metetra .788 .646 .705 r .49983 .50157 .52365 .56127 .56793 .55865 .54365 .43832 Metetra .663 .499 .653 r .54365 .43832 .56793 .55865 .61136 .48742 .58724 .39598 Metetra .655 .521 .688 r .58724 .39598 .61136 .48742 .65442 .4284 .63123 .36645 Metetra .668 .582 .749 r .63123 .36645 .65442 .4284 .69822 .39219 .67582 .34264 Metetra .673 .625 .793 r .67582 .34264 .69822 .39219 .7428 .36505 .7211 .3216 Metetra .673 .654 .823 r .7211 .3216 .7428 .36505 .78815 .34213 .76711 .30203 Metetra .672 .673 .842 r .76711 .30203 .78815 .34213 .83429 .3214 .8139 .28324 Metetra .695 .755 .898 r .19866 .42114 .22474 .44452 .26263 .42875 .23698 .40435 Metetra .705 .752 .888 r .23698 .40435 .26263 .42875 .3011 .4119 .27593 .38602 Metetra .713 .745 .877 r .27593 .38602 .3011 .4119 .34014 .39376 .31545 .36616 Metetra .678 .726 .887 r .31545 .36616 .34014 .39376 .37966 .37525 .35518 .35042 Metetra 0 .261 .747 r .35518 .35042 .37966 .37525 .41928 .36797 .39372 .37613 Metetra .708 .212 .061 r .39372 .37613 .41928 .36797 .45776 .4521 .43364 .41304 Metetra .7 .677 .825 r .43364 .41304 .45776 .4521 .49983 .50157 .47658 .39052 Metetra .631 .484 .665 r .47658 .39052 .49983 .50157 .54365 .43832 .52001 .36366 Metetra .65 .543 .72 r .52001 .36366 .54365 .43832 .58724 .39598 .56387 .34063 Metetra .662 .599 .774 r .56387 .34063 .58724 .39598 .63123 .36645 .60831 .32009 Metetra .667 .637 .811 r .60831 .32009 .63123 .36645 .67582 .34264 .65342 .30092 Metetra .668 .662 .835 r .65342 .30092 .67582 .34264 .7211 .3216 .69925 .28248 Metetra .667 .679 .852 r .69925 .28248 .7211 .3216 .76711 .30203 .74583 .26442 Metetra .667 .691 .863 r .74583 .26442 .76711 .30203 .8139 .28324 .7932 .24652 Metetra .704 .755 .892 r .17183 .39692 .19866 .42114 .23698 .40435 .21065 .37864 Metetra .717 .749 .878 r .21065 .37864 .23698 .40435 .27593 .38602 .25014 .35821 Metetra .71 .736 .871 r .25014 .35821 .27593 .38602 .31545 .36616 .29005 .33804 Metetra .514 .669 .933 r .29005 .33804 .31545 .36616 .35518 .35042 .32923 .33605 Metetra 0 .333 .716 r .32923 .33605 .35518 .35042 .39372 .37613 .36838 .35348 Metetra .524 .732 .969 r .36838 .35348 .39372 .37613 .43364 .41304 .4099 .34885 Metetra .629 .554 .751 r .4099 .34885 .43364 .41304 .47658 .39052 .45267 .33298 Metetra .644 .582 .77 r .45267 .33298 .47658 .39052 .52001 .36366 .49614 .31535 Metetra .655 .623 .805 r .49614 .31535 .52001 .36366 .56387 .34063 .54028 .29771 Metetra .66 .652 .831 r .54028 .29771 .56387 .34063 .60831 .32009 .58511 .28024 Metetra .662 .672 .849 r .58511 .28024 .60831 .32009 .65342 .30092 .63068 .26286 Metetra .663 .686 .861 r .63068 .26286 .65342 .30092 .69925 .28248 .67701 .24548 Metetra .663 .696 .87 r .67701 .24548 .69925 .28248 .74583 .26442 .72414 .22801 Metetra .663 .703 .877 r .72414 .22801 .74583 .26442 .7932 .24652 .77208 .21041 Metetra .717 .752 .88 r .1443 .37128 .17183 .39692 .21065 .37864 .18373 .35072 Metetra .723 .74 .865 r .18373 .35072 .21065 .37864 .25014 .35821 .22375 .32853 Metetra .658 .714 .889 r .22375 .32853 .25014 .35821 .29005 .33804 .26348 .31428 Metetra .404 .667 .967 r .26348 .31428 .29005 .33804 .32923 .33605 .30266 .31607 Metetra .434 .722 .986 r .30266 .31607 .32923 .33605 .36838 .35348 .34313 .31476 Metetra .609 .647 .863 r .34313 .31476 .36838 .35348 .4099 .34885 .38506 .30486 Metetra .635 .633 .831 r .38506 .30486 .4099 .34885 .45267 .33298 .42797 .29107 Metetra .646 .651 .84 r .42797 .29107 .45267 .33298 .49614 .31535 .47168 .27575 Metetra .653 .669 .853 r .47168 .27575 .49614 .31535 .54028 .29771 .51616 .25972 Metetra .656 .683 .864 r .51616 .25972 .54028 .29771 .58511 .28024 .5614 .24327 Metetra .658 .693 .872 r .5614 .24327 .58511 .28024 .63068 .26286 .60743 .22648 Metetra .659 .701 .878 r .60743 .22648 .63068 .26286 .67701 .24548 .65426 .2094 Metetra .66 .707 .882 r .65426 .2094 .67701 .24548 .72414 .22801 .70191 .19204 Metetra .66 .712 .886 r .70191 .19204 .72414 .22801 .77208 .21041 .75042 .17439 Metetra .727 .741 .863 r .1162 .34313 .1443 .37128 .18373 .35072 .15627 .32008 Metetra .701 .722 .866 r .15627 .32008 .18373 .35072 .22375 .32853 .19638 .30019 Metetra .593 .71 .925 r .19638 .30019 .22375 .32853 .26348 .31428 .23588 .29161 Metetra .503 .729 .974 r .23588 .29161 .26348 .31428 .30266 .31607 .27581 .28751 Metetra .579 .71 .932 r .27581 .28751 .30266 .31607 .34313 .31476 .31698 .27963 Metetra .62 .68 .885 r .31698 .27963 .34313 .31476 .38506 .30486 .35926 .26808 Metetra .637 .679 .873 r .35926 .26808 .38506 .30486 .42797 .29107 .40247 .25439 Metetra .645 .686 .874 r .40247 .25439 .42797 .29107 .47168 .27575 .44652 .23947 Metetra .65 .694 .878 r .44652 .23947 .47168 .27575 .51616 .25972 .49138 .22376 Metetra .653 .701 .882 r .49138 .22376 .51616 .25972 .5614 .24327 .53705 .20747 Metetra .655 .707 .885 r .53705 .20747 .5614 .24327 .60743 .22648 .58355 .19072 Metetra .656 .711 .888 r .58355 .19072 .60743 .22648 .65426 .2094 .63088 .17356 Metetra .657 .715 .89 r .63088 .17356 .65426 .2094 .70191 .19204 .67908 .15601 Metetra .658 .718 .893 r .67908 .15601 .70191 .19204 .75042 .17439 .72816 .13809 Metetra .717 .723 .855 r .08766 .31171 .1162 .34313 .15627 .32008 .128 .28907 Metetra .659 .714 .889 r .128 .28907 .15627 .32008 .19638 .30019 .16784 .274 Metetra .581 .73 .945 r .16784 .274 .19638 .30019 .23588 .29161 .20761 .26554 Metetra .576 .733 .949 r .20761 .26554 .23588 .29161 .27581 .28751 .24821 .25718 Metetra .608 .713 .919 r .24821 .25718 .27581 .28751 .31698 .27963 .28989 .24648 Metetra .628 .703 .9 r .28989 .24648 .31698 .27963 .35926 .26808 .33256 .23374 Metetra .638 .702 .892 r .33256 .23374 .35926 .26808 .40247 .25439 .37614 .21958 Metetra .645 .705 .891 r .37614 .21958 .40247 .25439 .44652 .23947 .42057 .20441 Metetra .649 .709 .891 r .42057 .20441 .44652 .23947 .49138 .22376 .46585 .1885 Metetra .652 .712 .892 r .46585 .1885 .49138 .22376 .53705 .20747 .51198 .17199 Metetra .654 .715 .893 r .51198 .17199 .53705 .20747 .58355 .19072 .55896 .15497 Metetra .655 .718 .895 r .55896 .15497 .58355 .19072 .63088 .17356 .60682 .13749 Metetra .656 .72 .896 r .60682 .13749 .63088 .17356 .67908 .15601 .65557 .11958 Metetra .657 .722 .897 r .65557 .11958 .67908 .15601 .72816 .13809 .70523 .10125 Metetra .688 .713 .868 r .05841 .27893 .08766 .31171 .128 .28907 .09854 .25984 Metetra .631 .725 .915 r .09854 .25984 .128 .28907 .16784 .274 .13835 .24726 Metetra .597 .738 .943 r .13835 .24726 .16784 .274 .20761 .26554 .17859 .23715 Metetra .606 .731 .934 r .17859 .23715 .20761 .26554 .24821 .25718 .21974 .22626 Metetra .621 .72 .917 r .21974 .22626 .24821 .25718 .28989 .24648 .26188 .21385 Metetra .633 .715 .907 r .26188 .21385 .28989 .24648 .33256 .23374 .30496 .20009 Metetra .64 .715 .902 r .30496 .20009 .33256 .23374 .37614 .21958 .34894 .18526 Metetra .645 .716 .899 r .34894 .18526 .37614 .21958 .42057 .20441 .3938 .1696 Metetra .648 .717 .898 r .3938 .1696 .42057 .20441 .46585 .1885 .43952 .15325 Metetra .651 .719 .898 r .43952 .15325 .46585 .1885 .51198 .17199 .48612 .13632 Metetra .653 .721 .899 r .48612 .13632 .51198 .17199 .55896 .15497 .53361 .11886 Metetra .654 .723 .899 r .53361 .11886 .55896 .15497 .60682 .13749 .582 .10091 Metetra .655 .724 .9 r .582 .10091 .60682 .13749 .65557 .11958 .63132 .08251 Metetra .656 .726 .9 r .63132 .08251 .65557 .11958 .70523 .10125 .68157 .06367 Metetra P p .002 w .67932 .02494 m .94594 .43277 L s .94594 .43277 m .97506 .64585 L s .97506 .64585 m .69286 .25814 L s .69286 .25814 m .67932 .02494 L s .06024 .26735 m .02494 .49015 L s .02494 .49015 m .69286 .25814 L s .69286 .25814 m .67932 .02494 L s .67932 .02494 m .06024 .26735 L s P p p .002 w .06024 .26735 m .67932 .02494 L s P p .002 w .06024 .26735 m .0648 .2716 L s P [(0)] .05113 .25884 1 .93395 Mshowa p .002 w .25014 .19299 m .25439 .19755 L s P [(5)] .24165 .18387 .93173 1 Mshowa p .002 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