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Notebook[{
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}, Open  ]],

Cell[BoxData[
    StyleBox[
      \( (*\ Select\ Genes\ by\ Number\ of\ Missing\ Data\ Points\ *) \),
      FontColor->RGBColor[0, 0, 1]]], "Input",
  PageBreakAbove->True,
  PageBreakBelow->False],

Cell[BoxData[
    \(matrix = 
      AppendRows[Table[{counter[\([a]\)]}, {a, 1, genes}], genenames, 
        matrix]; \nmatrix = Sort[matrix, OrderedQ[{#1, #2}]&]; \n
    fullgenenames = 
      TakeColumns[\n\t\tTakeRows[matrix, {1, numbers[\([1]\)]}], \n
        \t\t{2, 2}]; \n
    fullmatrix = 
      TakeColumns[\n\t\tTakeRows[matrix, {1, numbers[\([1]\)]}], \n
        \t\t{3, arrays + 2}]; \n
    missinggenenames = 
      TakeColumns[\n\t\t
        TakeRows[
          matrix, {numbers[\([1]\)] + 1, 
            numbers[\([1]\)] + numbers[\([2]\)]}], \n\t\t{2, 2}]; \n
    missingmatrix = 
      TakeColumns[\n\t\t
        TakeRows[
          matrix, {numbers[\([1]\)] + 1, 
            numbers[\([1]\)] + numbers[\([2]\)]}], \n\t\t{3, arrays + 2}]; 
    \)], "Input",
  PageBreakAbove->Automatic],

Cell[BoxData[
    StyleBox[\( (*\ Locate\ Array\ Position\ of\ Null\ Data\ *) \),
      FontColor->RGBColor[0, 0, 1]]], "Input",
  PageBreakAbove->Automatic],

Cell[BoxData[
    \(locator = Table[0, {numbers[\([2]\)]}]; \n
    Do[\n\tlocator[\([a]\)] = 
        locator[\([a]\)] + 
          \(Position[missingmatrix[\([a]\)], Null]\)[\([1]\)], \n
      \t{a, 1, numbers[\([2]\)]}]; \)], "Input",
  PageBreakAbove->Automatic],

Cell[BoxData[
    StyleBox[
      \( (*\ Sort\ Raw\ Data\ According\ to\ the\ Position\ of\ Missing\ Data
          \ Points\ for\ Each\ Gene\ *) \),
      FontColor->RGBColor[0, 0, 1]]], "Input",
  PageBreakAbove->Automatic],

Cell[BoxData[
    \(missingmatrix = AppendRows[locator, missinggenenames, missingmatrix]; \n
    missingmatrix = Sort[missingmatrix, OrderedQ[{#1, #2}]&]; \n
    locator = TakeColumns[missingmatrix, {1, 1}]; \n
    missinggenenames = TakeColumns[missingmatrix, {2, 2}]; \n
    missingmatrix = TakeColumns[missingmatrix, {3, arrays + 2}]; \)], "Input",\

  PageBreakAbove->Automatic],

Cell[BoxData[
    StyleBox[\( (*\ Examine\ Subset\ of\ Genes\ with\ Full\ Data\ *) \),
      FontColor->RGBColor[1, 0, 0]]], "Input",
  PageBreakAbove->Automatic,
  PageBreakBelow->False],

Cell[BoxData[
    StyleBox[\( (*\ Calculate\ Singular\ Value\ Decomposition\ *) \),
      FontColor->RGBColor[0, 0, 1]]], "Input",
  PageBreakAbove->Automatic,
  PageBreakBelow->False],

Cell[CellGroupData[{

Cell[BoxData[
    \(correlation = Dot[Transpose[fullmatrix], fullmatrix]/\((arrays - 1)\); 
    \n{eigenexpressions, eigengenes} = Eigensystem[correlation]; \n
    eigenexpressions = Sqrt[\((arrays - 1)\)*eigenexpressions]; \n
    Clear[correlation]; \n
    Do[eigengenes[\([a]\)] = \(-eigengenes[\([a]\)]\), \n\t{a, 1, arrays}]; \n
    eigenarrays = Dot[eigengenes, Transpose[fullmatrix]]; \n
    Do[\n\teigenarrays[\([a]\)] = 
        eigenarrays[\([a]\)]/eigenexpressions[\([a]\)], \n\t{a, 1, arrays}]; 
    \neigenarrays = Transpose[eigenarrays]; \n
    arraycorrelations = Dot[DiagonalMatrix[eigenexpressions], eigengenes]; \n
    genecorrelations = Dot[eigenarrays, DiagonalMatrix[eigenexpressions]]; \n
    genecorrelations = Transpose[genecorrelations]; \n
    probabilities = 
      eigenexpressions^2/Sum[eigenexpressions[\([a]\)]^2, {a, 1, arrays}]; \n
    entropy = 
      \(-N[Sum[probabilities[\([a]\)]*Log[probabilities[\([a]\)]], {a, 1, 
                arrays}]/Log[arrays]]\); \n
    entropy = N[Round[100*entropy]/100]\)], "Input",
  PageBreakAbove->Automatic,
  PageBreakBelow->False],

Cell[BoxData[
    \(0.140000000000000017`\)], "Output",
  PageBreakAbove->Automatic]
}, Open  ]],

Cell[BoxData[
    \( (*\ Create\ Probabilities\ Bar\ Charts\ Displays\ *) \)], "Input",
  PageBreakAbove->True,
  PageBreakBelow->False,
  FontColor->RGBColor[0, 0, 1]],

Cell[CellGroupData[{

Cell[BoxData[
    \(probabilities[\([2]\)]\)], "Input",
  PageBreakAbove->Automatic,
  PageBreakBelow->False],

Cell[BoxData[
    \(0.0311498654695615684`\)], "Output",
  PageBreakAbove->Automatic]
}, Open  ]],

Cell[BoxData[
    \(\(limit = 0.04; \)\)], "Input",
  PageBreakAbove->False,
  PageBreakBelow->False],

Cell[BoxData[
    \(Clear[gridx, framex, framey, sizes]; \n
    gridx = Table[a, {a, 0, limit, N[limit/4]}]; \nframex = gridx; \n
    sizes = Flatten[\n\t\t
        Table[\n\t\t\t
          Dimensions[\n\t\t\t\t
            Characters[\n\t\t\t\t\tToString[framex[\([a]\)]]\n\t\t\t\t]\n
            \t\t\t], {a, 1, 5}]]; \n
    Do[\n\tDo[
        framex[\([a]\)] = StringJoin[ToString[framex[\([a]\)]], "\< \>"], \n
        \t\ \ \ \ \ \ \ {b, 1, 4 - sizes[\([a]\)]}], \n\ \ \ \ \t{a, 1, 5}]; 
    \nframex = Table[{gridx[\([a]\)], framex[\([a]\)]}, {a, 1, 5}]; \n
    gridx = Table[{gridx[\([a]\)], RGBColor[0, 0, 0]}, {a, 1, 5}]; \n
    framey = Table[{a + 1, arrays - a}, {a, 0, arrays - 2}]; \n
    table = Table[probabilities[\([arrays - a]\)], {a, 0, arrays - 2}]; \n
    g = BarChart[\n\t\ttable, \n\t\tBarOrientation -> Horizontal, \n\t\t
        PlotRange -> {{0, limit*1.0001}, {0.5, arrays - 1 + 0.5}}, \n\t\t
        AspectRatio -> 1, \n\t\tAxes -> False, \n\t\tFrame -> True, \n\t\t
        FrameTicks -> {None, framey, framex, None}, \n\t\t
        FrameLabel -> {None, None, None, None}, \t\t\n\t\t
        GridLines -> {gridx, None}, \n\t\tDisplayFunction -> Identity]; \n
    g = FullGraphics[g]; \n
    g[\([1, 2]\)] = 
      g[\([1, 2]\)] /. \n\t\t
        Text[a_, {b_, c_}, {0. , \(-1. \)}] -> \n\t\t\t
          Text[a, {b, c + 1.5}, {0, 0}, {0, 1}]; \n
    g1 = Show[g, \n\tAspectRatio -> 1.25, \n\tPlotRange -> All, \n\t
        DisplayFunction -> Identity]; \)], "Input",
  PageBreakAbove->Automatic,
  PageBreakBelow->False],

Cell[BoxData[
    \(gridx = Table[a, {a, 0, 1, 0.2}]; \nframex = gridx; \n
    sizes = Flatten[\n\t\t
        Table[\n\t\t\t
          Dimensions[\n\t\t\t\t
            Characters[\n\t\t\t\t\tToString[framex[\([a]\)]]\n\t\t\t\t]\n
            \t\t\t], {a, 1, 6}]]; \n
    Do[\n\tDo[
        framex[\([a]\)] = StringJoin[ToString[framex[\([a]\)]], "\< \>"], \n
        \t\ \ \ \ \ \ \ {b, 1, size - sizes[\([a]\)]}], \n
      \ \ \ \ \t{a, 1, 6}]; \n
    framex = Table[{gridx[\([a]\)], \n\t\t\tframex[\([a]\)]}, {a, 1, 6}]; \n
    gridx = Table[{gridx[\([a]\)], RGBColor[0, 0, 0]}, {a, 1, 6}]; \n
    framey = Table[{a + 1, arrays - a}, {a, 0, arrays - 1}]; \n
    labelx = ColumnForm[\n
        \t\t{"\<(b) Eigenexpression Probability\>", 
          StringJoin["\<d = \>", ToString[entropy]], "\< \>"}, Center]; \n
    g = BarChart[\n\t\t
        Table[probabilities[\([arrays - a]\)], {a, 0, arrays - 1}], \n\t\t
        BarOrientation -> Horizontal, \n\t\t
        PlotRange -> {{0, 1.0001}, {0.5, arrays + 0.5}}, \n\t\t
        AspectRatio -> 1, \n\t\tAxes -> False, \n\t\tFrame -> True, \n\t\t
        FrameTicks -> {None, framey, framex, None}, \n\t\t
        FrameLabel -> {None, None, labelx, None}, \n\t\t
        GridLines -> {gridx, None}, \n\tDisplayFunction -> Identity]; \n
    g = FullGraphics[g]; \n
    g[\([1, 2]\)] = 
      g[\([1, 2]\)] /. \n\t\t
        Text[labelx, {b_, c_}, {0. , \(-1. \)}] -> \n\t\t\t
          Text[labelx, {b, c + 2}, {0, \(-1\)}, {1, 0}]; \n
    g[\([1, 2]\)] = 
      g[\([1, 2]\)] /. \n\t\t
        Text[a_, {b_, c_}, {0. , \(-1. \)}] -> \n\t\t\t
          Text[a, {b, c + 1.8}, {0, 0}, {0, 1}]; \n
    g2 = Show[{g, \n\t\t\t
          Graphics[{RGBColor[1, 1, 0.8], 
              Rectangle[{0.1, 0.6}, {0.98, 12.6}]}], \n\t\t\t
          Graphics[{Rectangle[{0.1, 0.6}, {0.98, 12.6}, g1]}]}, \n\t
        AspectRatio -> 1.35, \n\tPlotRange -> All, \n\t
        DisplayFunction -> Identity]; \)], "Input",
  PageBreakAbove->True,
  PageBreakBelow->False],

Cell[BoxData[
    \( (*\ \(Create\ Eigengenes\ 2  D\ Red\ &\)\ Green\ Raster\ Display\ *) 
      \)], "Input",
  PageBreakAbove->True,
  PageBreakBelow->False,
  FontColor->RGBColor[0, 0, 1]],

Cell[BoxData[
    \(contrast = 3; \n
    displaying = 
      Table[\n\t\t
        If[contrast*eigengenes[\([i, j]\)] > 0, \n\t\t\t
          If[contrast*eigengenes[\([i, j]\)] < 1, {
              contrast*eigengenes[\([i, j]\)], 0}, {1, 0}], \n\t\t\t
          If[contrast*eigengenes[\([i, j]\)] > \(-1\), {0, 
              \(-contrast\)*eigengenes[\([i, j]\)]}, {0, 1}]], \n
        \t\t{i, 1, arrays}, {j, 1, arrays}]; \n
    framex = Table[{a - 0.5, arraynames[\([2, a]\)]}, {a, 1, arrays}]; \n
    framey = Table[{a + 1 - 0.5, arrays - a}, {a, 0, arrays - 1}]; \n
    labely = "\<Eigengenes\>"; \n
    labelx = ColumnForm[{"\<(a) Arrays\>", "\< \>", "\< \>"}, Center]; \n
    g = Show[\n\t
        Graphics[\n\t\t
          RasterArray[\n\t\t\t
            Table[\n\t\t\t\t
              RGBColor[\n\t\t\t\t\tdisplaying[\([i, j, 1]\)], 
                displaying[\([i, j, 2]\)], 0\n\t\t\t\t\t], \n
              \t\t\t\t{i, arrays, 1, \(-1\)}, {j, 1, arrays}\n\t\t\t]]], \n\t
        AspectRatio -> 1, Frame -> True, \n\t
        FrameTicks -> {None, framey, framex, None}, \n\t
        FrameLabel -> {None, labely, labelx, None}, \n\t
        DisplayFunction -> Identity]; \ng = FullGraphics[g]; \n
    g[\([1, 2]\)] = 
      g[\([1, 2]\)] /. \n\t\t
        Text[labely, {b_, c_}, {1. , 0. }] -> \n\t\t\t
          Text[labely, {b - 2, c}, {0, 0}, {0, 1}]; \n
    g[\([1, 2]\)] = 
      g[\([1, 2]\)] /. \n\t\t
        Text[labelx, {b_, c_}, {0. , \(-1. \)}] -> \n\t\t\t
          Text[labelx, {b, c + 2}, {0, \(-1\)}, {1, 0}]; \n
    g[\([1, 2]\)] = 
      g[\([1, 2]\)] /. \n\t\t
        Text[a_, {b_, c_}, {0. , \(-1. \)}] -> \n\t\t\t
          Text[a, {b, c + 1.8}, {0, 0}, {0, 1}]; \n
    g1 = Show[g, \n\tAspectRatio -> 1.05, \n\tPlotRange -> All, \n\t
        DisplayFunction -> Identity]; \)], "Input",
  PageBreakAbove->Automatic,
  PageBreakBelow->False],

Cell[BoxData[
    \( (*\ Create\ Selected\ Eigengenes\ Graph\ Display\ *) \)], "Input",
  PageBreakAbove->Automatic,
  PageBreakBelow->False,
  FontColor->RGBColor[0, 0, 1]],

Cell[CellGroupData[{

Cell[BoxData[{
    \(eigengenes1 = 
      Chop[TrigFit[eigengenes[\([1]\)], 2, {x, arrays - 1}], 0.05]\), 
    \(eigengenes2 = 
      Chop[TrigFit[eigengenes[\([2]\)], 2, {x, arrays - 1}], 0.175]\), 
    \(eigengenes3 = 
      Chop[TrigFit[eigengenes[\([3]\)], 4, {x, arrays - 1}], 0.15]\), 
    \(eigengenes4 = 
      Chop[TrigFit[eigengenes[\([4]\)], 4, {x, arrays - 1}], 0.15]\)}], 
  "Input",
  PageBreakAbove->Automatic,
  PageBreakBelow->False],

Cell[BoxData[
    \(0.266134748919646657`\)], "Output",
  PageBreakAbove->Automatic],

Cell[BoxData[
    \(0.241245660525145177`\ Cos[\(2\ \[Pi]\ x\)\/13]\)], "Output",
  PageBreakAbove->Automatic],

Cell[BoxData[
    \(0.322334254207753678`\ Sin[\(2\ \[Pi]\ x\)\/13]\)], "Output",
  PageBreakAbove->Automatic],

Cell[BoxData[
    \(0.19030606607463639`\ Cos[\(2\ \[Pi]\ x\)\/13]\)], "Output",
  PageBreakAbove->Automatic]
}, Open  ]],

Cell[BoxData[
    \(eigengenes2 = 0.276*Cos[2*Pi*x/13]; \n
    eigengenes3 = 0.39*Sin[2*Pi*x/13]; \neigengenes4 = 0.276*Cos[2*Pi*x/13]; 
    \)], "Input",
  PageBreakAbove->True,
  PageBreakBelow->False],

Cell[CellGroupData[{

Cell[BoxData[
    \(labelx = ColumnForm[{"\<(c) Arrays\>"}, Center]; \n
    labely = ColumnForm[{"\< \>", "\<Expression Level\>"}, Center]; \n
    framex = Table[{a - 1, arraynames[\([2, a]\)]}, {a, 1, arrays}]; \n
    framey = {\(-1\), \(-0.5\), 0, 0.5, 1}; \n
    coordinates = Table[{a - 1, eigengenes[\([1, a]\)]}, \t{a, 1, arrays}]; \n
    points = Table[Point[coordinates[\([a]\)]], \t{a, 1, arrays}]; \n
    line = Line[coordinates]; \n
    g = Show[\n
        \t\t{Graphics[{RGBColor[0, 0.5, 0], PointSize[0.022], points}], \n
          \t\t\tGraphics[{RGBColor[0, 0.5, 0], line}]}, \n\tFrame -> True, \n
        \tFrameLabel -> {None, labely, labelx, None}, \n\t
        GridLines -> {None, {{0, RGBColor[0, 0, 0]}}}, \n\t
        FrameTicks -> {None, framey, framex, None}, \n\t
        PlotRange -> {\(-1.05\), 1.05}, \n\tDisplayFunction -> Identity]; \n
    g = FullGraphics[g]; \n
    g[\([1, 2]\)] = 
      g[\([1, 2]\)] /. \n\t\t
        Text[labely, {b_, c_}, {1. , 0. }] -> \n\t\t\t
          Text[labely, {b - 3.6, c}, {0, 0}, {0, 1}]; \n
    g[\([1, 2]\)] = 
      g[\([1, 2]\)] /. \n\t\t
        Text[labelx, {b_, c_}, {0. , \(-1. \)}] -> \n\t\t\t
          Text[labelx, {b, c + 0.6}, {0, \(-1\)}, {1, 0}]; \n
    g[\([1, 2]\)] = 
      g[\([1, 2]\)] /. \n\t\t
        Text[a_, {b_, c_}, {0. , \(-1. \)}] -> \n\t\t\t
          Text[a, {b, c + 0.24}, {0, 0}, {0, 1}]; \n
    p1 = Show[g, \n\t\tAspectRatio -> 1.05, \n\t\tPlotRange -> All]; \)], 
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  PageBreakAbove->Automatic,
  PageBreakBelow->False],

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