(************** Content-type: application/mathematica **************
                     CreatedBy='Mathematica 4.2'

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Notebook[{

Cell[CellGroupData[{
Cell["Census Simulations", "Title"],

Cell[CellGroupData[{

Cell["Capture-Recapture", "Section",
  FontSize->24],

Cell["\<\
Here's a straight capture-recapture procedure.  Each person has a 98.4% \
chance of responding to our initial enumeration (this is roughly equivalent \
to the actual census response rate after followup).  Then we take 5000 people \
at random and administer the PES, and determine from the overlap with the \
original enumeration what the total underlying population is.\
\>", "Text",
  FontSize->19],

Cell[BoxData[{
    \(\(population\  = \ 100000;\)\), "\[IndentingNewLine]", 
    \(\(ResponseProbability\  = \ 0.984;\)\), "\[IndentingNewLine]", 
    \(\(EnumeratedList = 
        Table[0, {i, 1, population}];\)\), "\[IndentingNewLine]", 
    \(\(Enumeration\  = \ 0;\)\), "\[IndentingNewLine]", 
    \(Do[\[IndentingNewLine]If[
        Random[] < ResponseProbability, \[IndentingNewLine]Enumeration = 
          Enumeration + 1; 
        EnumeratedList[\([i]\)] = 
          1\[IndentingNewLine]]\[IndentingNewLine], {i, 1, 
        population}\[IndentingNewLine]]\), "\[IndentingNewLine]", 
    \(Print["\<Initial enumeration is \>", 
      Enumeration, "\< out of an actual population of \>", 
      population, "\<.  Undercount rate is \>", 
      N[\((Enumeration - population)\)*100/
            population], "\<%\>"]\), "\[IndentingNewLine]", 
    \(\(PESList = Table[0, {i, 1, population}];\)\), "\[IndentingNewLine]", 
    \(\(PEScount\  = \ 0;\)\), "\[IndentingNewLine]", 
    \(While[
      PEScount\  < \ 5000, \[IndentingNewLine]Person\  = \ 
        Random[Integer, population]; \[IndentingNewLine]If[
        PESList[\([Person]\)]\  \[Equal] \ 0, PESList[\([Person]\)] = 1; 
        PEScount = 
          PEScount + 1]\[IndentingNewLine]]\), "\[IndentingNewLine]", 
    \(\(InEnumInPES\  = \ 0;\)\), "\[IndentingNewLine]", 
    \(\(InEnumNotInPES\  = \ 0;\)\), "\[IndentingNewLine]", 
    \(\(InPESNotInEnum\  = \ 0;\)\), "\[IndentingNewLine]", 
    \(\(Do[\[IndentingNewLine]If[
          EnumeratedList[\([i]\)] \[Equal] 1\  && \ 
            PESList[\([i]\)] \[Equal] 1, 
          InEnumInPES = InEnumInPES + 1]; \[IndentingNewLine]If[
          EnumeratedList[\([i]\)] \[Equal] 1\  && \ 
            PESList[\([i]\)] \[Equal] 0, 
          InEnumNotInPES = InEnumNotInPES + 1]; \[IndentingNewLine]If[
          EnumeratedList[\([i]\)] \[Equal] 0\  && \ 
            PESList[\([i]\)] \[Equal] 1, 
          InPESNotInEnum = InPESNotInEnum + 1];\[IndentingNewLine], {i, 1, 
          population}\[IndentingNewLine]];\)\), "\[IndentingNewLine]", 
    \(\(Print[InEnumInPES, "\< in enum and PES;  \>", 
        InEnumNotInPES, "\< in enum but not in PES;  \>", 
        InPESNotInEnum, "\< in PES but not in enum\>"];\)\), "\
\[IndentingNewLine]", 
    \(\(Print["\<Ratio of nonenumerated to enumerated in PES sample: \>", \ 
        InPESNotInEnum, "\</\>", InEnumInPES, "\< = \>", \ 
        N[InPESNotInEnum/InEnumInPES]];\)\), "\[IndentingNewLine]", 
    \(\(Print["\<Projected number of people not enumerated or in PES: \>", 
        N[InPESNotInEnum/InEnumInPES], "\<*\>", InEnumNotInPES, "\< = \>", 
        N[InEnumNotInPES*
            InPESNotInEnum/InEnumInPES]];\)\), "\[IndentingNewLine]", 
    \(\(projpop = 
        N[InEnumNotInPES*InPESNotInEnum/InEnumInPES + InEnumNotInPES + 
            InPESNotInEnum + InEnumInPES];\)\), "\[IndentingNewLine]", 
    \(Print["\<Sampling-corrected census: \>", 
      N[InEnumNotInPES*InPESNotInEnum/InEnumInPES], "\<+\>", 
      InEnumNotInPES, "\<+\>", InPESNotInEnum, "\<+\>", 
      InEnumInPES, "\< = \>", 
      projpop, "\< out of an actual population of \>", 
      population, "\<.  Undercount rate for corrected census is \>", \
\((projpop - population)\)*100/population, "\<%\>"]\)}], "Input"]
}, Closed]],

Cell[CellGroupData[{

Cell["Capture-Recapture with two races", "Section",
  FontSize->24],

Cell["\<\
Now we do the same thing, but also treat two \"races\" separately.  For this \
first run, we assume no underlying differential rate of response:\
\>", "Text",
  FontSize->19],

Cell[BoxData[{
    \(\(population\  = \ 100000;\)\), "\[IndentingNewLine]", 
    \(\(Bpop\  = \ 15000;\)\), "\[IndentingNewLine]", 
    \(\(ResponseProbabilityB\  = \ 0.984;\)\), "\[IndentingNewLine]", 
    \(\(ResponseProbabilityW\  = \ 0.984;\)\), "\[IndentingNewLine]", 
    \(\(EnumeratedList = 
        Table[0, {i, 1, population}];\)\), "\[IndentingNewLine]", 
    \(\(EnumerationB\  = \ 0;\)\), "\[IndentingNewLine]", 
    \(\(EnumerationW\  = \ 0;\)\), "\[IndentingNewLine]", 
    \(\(Do[\[IndentingNewLine]\(If[
            i \[LessEqual] Bpop, \[IndentingNewLine]If[
              Random[] < 
                ResponseProbabilityB, \[IndentingNewLine]EnumeratedList[\([i]\
\)] = 1; EnumerationB = EnumerationB + 1], \[IndentingNewLine]If[
              Random[] < ResponseProbabilityW, EnumeratedList[\([i]\)] = 1; 
              EnumerationW = 
                EnumerationW + 
                  1]\[IndentingNewLine]];\)\[IndentingNewLine], {i, 1, 
          population}\[IndentingNewLine]];\)\), "\[IndentingNewLine]", 
    \(\(Print["\<Initial black enumeration is \>", 
        EnumerationB, "\< out of an actual population of \>", 
        Bpop, "\<.  Undercount rate is \>", 
        N[\((EnumerationB - Bpop)\)*100/
              Bpop], "\<%\>"];\)\), "\[IndentingNewLine]", 
    \(\(Print["\<Initial white enumeration is \>", 
        EnumerationW, "\< out of an actual population of \>", 
        population - Bpop, "\<.  Undercount rate is \>", 
        N[\((EnumerationW - population + 
                Bpop)\)*100/\((population - 
                  Bpop)\)], "\<%\>"];\)\), "\[IndentingNewLine]", 
    \(\(PESList = Table[0, {i, 1, population}];\)\), "\[IndentingNewLine]", 
    \(\(PEScount\  = \ 0;\)\), "\[IndentingNewLine]", 
    \(\(While[
        PEScount\  < \ 5000, \[IndentingNewLine]Person\  = \ 
          Random[Integer, population]; \[IndentingNewLine]If[
          PESList[\([Person]\)]\  \[Equal] \ 0, PESList[\([Person]\)] = 1; 
          PEScount = 
            PEScount + 1]\[IndentingNewLine]];\)\), "\[IndentingNewLine]", 
    \(\(InEnumInPESW\  = \ 0;\)\), "\[IndentingNewLine]", 
    \(\(InEnumNotInPESW\  = \ 0;\)\), "\[IndentingNewLine]", 
    \(\(InPESNotInEnumW\  = \ 0;\)\), "\[IndentingNewLine]", 
    \(\(InEnumInPESB\  = \ 0;\)\), "\[IndentingNewLine]", 
    \(\(InEnumNotInPESB\  = \ 0;\)\), "\[IndentingNewLine]", 
    \(\(InPESNotInEnumB\  = \ 0;\)\), "\[IndentingNewLine]", 
    \(\(Do[\[IndentingNewLine]If[
          EnumeratedList[\([i]\)] \[Equal] 1\  && \ 
            PESList[\([i]\)] \[Equal] 1, 
          If[i \[LessEqual] Bpop, InEnumInPESB = InEnumInPESB + 1, 
            InEnumInPESW = InEnumInPESW + 1]]; \[IndentingNewLine]If[
          EnumeratedList[\([i]\)] \[Equal] 1\  && \ 
            PESList[\([i]\)] \[Equal] 0, 
          If[i \[LessEqual] Bpop, InEnumNotInPESB = InEnumNotInPESB + 1, 
            InEnumNotInPESW = InEnumNotInPESW + 1]]; \[IndentingNewLine]If[
          EnumeratedList[\([i]\)] \[Equal] 0\  && \ 
            PESList[\([i]\)] \[Equal] 1, 
          If[i \[LessEqual] Bpop, InPESNotInEnumB = InPESNotInEnumB + 1, 
            InPESNotInEnumW = InPESNotInEnumW + 1]];\[IndentingNewLine], {i, 
          1, population}\[IndentingNewLine]];\)\), "\[IndentingNewLine]", 
    \(\(Print["\<ANALYSIS OF BLACK POPULATION\>"];\)\), \
"\[IndentingNewLine]", 
    \(\(Print[InEnumInPESB, "\< in enum and PES;  \>", 
        InEnumNotInPESB, "\< in enum but not in PES;  \>", 
        InPESNotInEnumB, "\< in PES but not in enum\>"];\)\), "\
\[IndentingNewLine]", 
    \(\(projpop = \ 
        N[InEnumNotInPESB*InPESNotInEnumB/InEnumInPESB + InEnumNotInPESB + 
            InPESNotInEnumB + InEnumInPESB];\)\), "\[IndentingNewLine]", 
    \(Print["\<Sampling-corrected black census: \>", 
      InEnumNotInPESB, "\<*\>", InPESNotInEnumB, "\</\>", 
      InEnumInPESB, "\<+\>", InEnumNotInPESB, "\<+\>", 
      InPESNotInEnumB, "\<+\>", InEnumInPESB, "\< = \>", 
      projpop, "\< out of an actual black population of \>", 
      Bpop, "\<.  Undercount rate for corrected census is \>", \((projpop - 
            Bpop)\)*100/Bpop, "\<%\>"]\), "\[IndentingNewLine]", 
    \(\(Print["\<ANALYSIS OF WHITE POPULATION\>"];\)\), \
"\[IndentingNewLine]", 
    \(\(Print[InEnumInPESW, "\< in enum and PES;  \>", 
        InEnumNotInPESW, "\< in enum but not in PES;  \>", 
        InPESNotInEnumW, "\< in PES but not in enum\>"];\)\), "\
\[IndentingNewLine]", 
    \(\(projpop = 
        N[InEnumNotInPESW*InPESNotInEnumW/InEnumInPESW + InEnumNotInPESW + 
            InPESNotInEnumW + InEnumInPESW];\)\), "\[IndentingNewLine]", 
    \(Print["\<Sampling-corrected white census: \>", 
      InEnumNotInPESW, "\<*\>", InPESNotInEnumW, "\</\>", 
      InEnumInPESW, "\<+\>", InEnumNotInPESW, "\<+\>", 
      InPESNotInEnumW, "\<+\>", InEnumInPESW, "\< = \>", 
      projpop, "\< out of an actual white population of \>", 
      population - 
        Bpop, "\<.  Undercount rate for corrected census is \>", \((projpop - 
            population + 
            Bpop)\)*100/\((population - Bpop)\), "\<%\>"]\)}], "Input"]
}, Closed]],

Cell[CellGroupData[{

Cell["Capture-Recapture with two races, different response rates", "Section",
  FontSize->24],

Cell["\<\
Now we do the same thing, but with an underlying differential rate of \
response:\
\>", "Text",
  FontSize->19],

Cell[BoxData[{
    \(\(population\  = \ 100000;\)\), "\[IndentingNewLine]", 
    \(\(Bpop\  = \ 15000;\)\), "\[IndentingNewLine]", 
    \(\(ResponseProbabilityW\  = \ 0.984;\)\), "\[IndentingNewLine]", 
    \(\(ResponseProbabilityB\  = \ 0.956;\)\), "\[IndentingNewLine]", 
    \(\(EnumeratedList = 
        Table[0, {i, 1, population}];\)\), "\[IndentingNewLine]", 
    \(\(EnumerationB\  = \ 0;\)\), "\[IndentingNewLine]", 
    \(\(EnumerationW\  = \ 0;\)\), "\[IndentingNewLine]", 
    \(\(Do[\[IndentingNewLine]\(If[
            i \[LessEqual] Bpop, \[IndentingNewLine]If[
              Random[] < 
                ResponseProbabilityB, \[IndentingNewLine]EnumeratedList[\([i]\
\)] = 1; EnumerationB = EnumerationB + 1], \[IndentingNewLine]If[
              Random[] < ResponseProbabilityW, EnumeratedList[\([i]\)] = 1; 
              EnumerationW = 
                EnumerationW + 
                  1]\[IndentingNewLine]];\)\[IndentingNewLine], {i, 1, 
          population}\[IndentingNewLine]];\)\), "\[IndentingNewLine]", 
    \(\(Print["\<Initial black enumeration is \>", 
        EnumerationB, "\< out of an actual population of \>", 
        Bpop, "\<.  Undercount rate is \>", 
        N[\((EnumerationB - Bpop)\)*100/
              Bpop], "\<%\>"];\)\), "\[IndentingNewLine]", 
    \(\(Print["\<Initial white enumeration is \>", 
        EnumerationW, "\< out of an actual population of \>", 
        population - Bpop, "\<.  Undercount rate is \>", 
        N[\((EnumerationW - population + 
                Bpop)\)*100/\((population - 
                  Bpop)\)], "\<%\>"];\)\), "\[IndentingNewLine]", 
    \(\(PESList = Table[0, {i, 1, population}];\)\), "\[IndentingNewLine]", 
    \(\(PEScount\  = \ 0;\)\), "\[IndentingNewLine]", 
    \(\(While[
        PEScount\  < \ 5000, \[IndentingNewLine]Person\  = \ 
          Random[Integer, population]; \[IndentingNewLine]If[
          PESList[\([Person]\)]\  \[Equal] \ 0, PESList[\([Person]\)] = 1; 
          PEScount = 
            PEScount + 1]\[IndentingNewLine]];\)\), "\[IndentingNewLine]", 
    \(\(InEnumInPESW\  = \ 0;\)\), "\[IndentingNewLine]", 
    \(\(InEnumNotInPESW\  = \ 0;\)\), "\[IndentingNewLine]", 
    \(\(InPESNotInEnumW\  = \ 0;\)\), "\[IndentingNewLine]", 
    \(\(InEnumInPESB\  = \ 0;\)\), "\[IndentingNewLine]", 
    \(\(InEnumNotInPESB\  = \ 0;\)\), "\[IndentingNewLine]", 
    \(\(InPESNotInEnumB\  = \ 0;\)\), "\[IndentingNewLine]", 
    \(\(Do[\[IndentingNewLine]If[
          EnumeratedList[\([i]\)] \[Equal] 1\  && \ 
            PESList[\([i]\)] \[Equal] 1, 
          If[i \[LessEqual] Bpop, InEnumInPESB = InEnumInPESB + 1, 
            InEnumInPESW = InEnumInPESW + 1]]; \[IndentingNewLine]If[
          EnumeratedList[\([i]\)] \[Equal] 1\  && \ 
            PESList[\([i]\)] \[Equal] 0, 
          If[i \[LessEqual] Bpop, InEnumNotInPESB = InEnumNotInPESB + 1, 
            InEnumNotInPESW = InEnumNotInPESW + 1]]; \[IndentingNewLine]If[
          EnumeratedList[\([i]\)] \[Equal] 0\  && \ 
            PESList[\([i]\)] \[Equal] 1, 
          If[i \[LessEqual] Bpop, InPESNotInEnumB = InPESNotInEnumB + 1, 
            InPESNotInEnumW = InPESNotInEnumW + 1]];\[IndentingNewLine], {i, 
          1, population}\[IndentingNewLine]];\)\), "\[IndentingNewLine]", 
    \(\(Print["\<ANALYSIS OF BLACK POPULATION\>"];\)\), \
"\[IndentingNewLine]", 
    \(\(Print[InEnumInPESB, "\< in enum and PES;  \>", 
        InEnumNotInPESB, "\< in enum but not in PES;  \>", 
        InPESNotInEnumB, "\< in PES but not in enum\>"];\)\), "\
\[IndentingNewLine]", 
    \(\(projpop = \ 
        N[InEnumNotInPESB*InPESNotInEnumB/InEnumInPESB + InEnumNotInPESB + 
            InPESNotInEnumB + InEnumInPESB];\)\), "\[IndentingNewLine]", 
    \(Print["\<Sampling-corrected black census: \>", 
      InEnumNotInPESB, "\<*\>", InPESNotInEnumB, "\</\>", 
      InEnumInPESB, "\<+\>", InEnumNotInPESB, "\<+\>", 
      InPESNotInEnumB, "\<+\>", InEnumInPESB, "\< = \>", 
      projpop, "\< out of an actual black population of \>", 
      Bpop, "\<.  Undercount rate for corrected census is \>", \((projpop - 
            Bpop)\)*100/Bpop, "\<%\>"]\), "\[IndentingNewLine]", 
    \(\(Print["\<ANALYSIS OF WHITE POPULATION\>"];\)\), \
"\[IndentingNewLine]", 
    \(\(Print[InEnumInPESW, "\< in enum and PES;  \>", 
        InEnumNotInPESW, "\< in enum but not in PES;  \>", 
        InPESNotInEnumW, "\< in PES but not in enum\>"];\)\), "\
\[IndentingNewLine]", 
    \(\(projpop = 
        N[InEnumNotInPESW*InPESNotInEnumW/InEnumInPESW + InEnumNotInPESW + 
            InPESNotInEnumW + InEnumInPESW];\)\), "\[IndentingNewLine]", 
    \(Print["\<Sampling-corrected white census: \>", 
      InEnumNotInPESW, "\<*\>", InPESNotInEnumW, "\</\>", 
      InEnumInPESW, "\<+\>", InEnumNotInPESW, "\<+\>", 
      InPESNotInEnumW, "\<+\>", InEnumInPESW, "\< = \>", 
      projpop, "\< out of an actual white population of \>", 
      population - 
        Bpop, "\<.  Undercount rate for corrected census is \>", \((projpop - 
            population + 
            Bpop)\)*100/\((population - Bpop)\), "\<%\>"]\)}], "Input"]
}, Closed]],

Cell[CellGroupData[{

Cell["Assumption of independence violated", "Section",
  FontSize->24],

Cell["\<\
Now we do violate the assumption of independence and see if that really does \
screw up the fix of the differential undercount:\
\>", "Text",
  FontSize->19],

Cell[BoxData[{
    \(\(population\  = \ 100000;\)\), "\[IndentingNewLine]", 
    \(\(Bpop\  = \ 15000;\)\), "\[IndentingNewLine]", 
    \(\(ResponseProbabilityW\  = \ 0.984;\)\), "\[IndentingNewLine]", 
    \(\(ResponseProbabilityB\  = \ 0.956;\)\), "\[IndentingNewLine]", 
    \(\(EnumeratedList = 
        Table[0, {i, 1, population}];\)\), "\[IndentingNewLine]", 
    \(\(EnumerationB\  = \ 0;\)\), "\[IndentingNewLine]", 
    \(\(EnumerationW\  = \ 0;\)\), "\[IndentingNewLine]", 
    \(\(Do[\[IndentingNewLine]\(If[
            i \[LessEqual] Bpop, \[IndentingNewLine]If[
              Random[] < 
                ResponseProbabilityB, \[IndentingNewLine]EnumeratedList[\([i]\
\)] = 1; EnumerationB = EnumerationB + 1], \[IndentingNewLine]If[
              Random[] < ResponseProbabilityW, EnumeratedList[\([i]\)] = 1; 
              EnumerationW = 
                EnumerationW + 
                  1]\[IndentingNewLine]];\)\[IndentingNewLine], {i, 1, 
          population}\[IndentingNewLine]];\)\), "\[IndentingNewLine]", 
    \(\(Print["\<Initial black enumeration is \>", 
        EnumerationB, "\< out of an actual population of \>", 
        Bpop, "\<.  Undercount rate is \>", 
        N[\((EnumerationB - Bpop)\)*100/
              Bpop], "\<%\>"];\)\), "\[IndentingNewLine]", 
    \(\(Print["\<Initial white enumeration is \>", 
        EnumerationW, "\< out of an actual population of \>", 
        population - Bpop, "\<.  Undercount rate is \>", 
        N[\((EnumerationW - population + 
                Bpop)\)*100/\((population - 
                  Bpop)\)], "\<%\>"];\)\), "\[IndentingNewLine]", 
    \(\(PESList = Table[0, {i, 1, population}];\)\), "\[IndentingNewLine]", 
    \(\(PEScount\  = \ 0;\)\), "\[IndentingNewLine]", 
    \(\(While[
        PEScount\  < \ 5000, \[IndentingNewLine]Person\  = \ 
          Random[Integer, 
            population]; \[IndentingNewLine]If[\((PESList[\([Person]\)]\  \
\[Equal] \ 0\  && \ 
                EnumeratedList[\([Person]\)] \[Equal] 
                  1)\) || \((PESList[\([Person]\)] \[Equal] 0\  && \ 
                EnumeratedList[\([Person]\)] \[Equal] 0\  && \ 
                Random[] < 0.6)\), PESList[\([Person]\)] = 1; 
          PEScount = 
            PEScount + 1]\[IndentingNewLine]];\)\), "\[IndentingNewLine]", 
    \(\(InEnumInPESW\  = \ 0;\)\), "\[IndentingNewLine]", 
    \(\(InEnumNotInPESW\  = \ 0;\)\), "\[IndentingNewLine]", 
    \(\(InPESNotInEnumW\  = \ 0;\)\), "\[IndentingNewLine]", 
    \(\(InEnumInPESB\  = \ 0;\)\), "\[IndentingNewLine]", 
    \(\(InEnumNotInPESB\  = \ 0;\)\), "\[IndentingNewLine]", 
    \(\(InPESNotInEnumB\  = \ 0;\)\), "\[IndentingNewLine]", 
    \(\(Do[\[IndentingNewLine]If[
          EnumeratedList[\([i]\)] \[Equal] 1\  && \ 
            PESList[\([i]\)] \[Equal] 1, 
          If[i \[LessEqual] Bpop, InEnumInPESB = InEnumInPESB + 1, 
            InEnumInPESW = InEnumInPESW + 1]]; \[IndentingNewLine]If[
          EnumeratedList[\([i]\)] \[Equal] 1\  && \ 
            PESList[\([i]\)] \[Equal] 0, 
          If[i \[LessEqual] Bpop, InEnumNotInPESB = InEnumNotInPESB + 1, 
            InEnumNotInPESW = InEnumNotInPESW + 1]]; \[IndentingNewLine]If[
          EnumeratedList[\([i]\)] \[Equal] 0\  && \ 
            PESList[\([i]\)] \[Equal] 1, 
          If[i \[LessEqual] Bpop, InPESNotInEnumB = InPESNotInEnumB + 1, 
            InPESNotInEnumW = InPESNotInEnumW + 1]];\[IndentingNewLine], {i, 
          1, population}\[IndentingNewLine]];\)\), "\[IndentingNewLine]", 
    \(\(Print["\<ANALYSIS OF BLACK POPULATION\>"];\)\), \
"\[IndentingNewLine]", 
    \(\(Print[InEnumInPESB, "\< in enum and PES;  \>", 
        InEnumNotInPESB, "\< in enum but not in PES;  \>", 
        InPESNotInEnumB, "\< in PES but not in enum\>"];\)\), "\
\[IndentingNewLine]", 
    \(\(projpop = \ 
        N[InEnumNotInPESB*InPESNotInEnumB/InEnumInPESB + InEnumNotInPESB + 
            InPESNotInEnumB + InEnumInPESB];\)\), "\[IndentingNewLine]", 
    \(Print["\<Sampling-corrected black census: \>", 
      InEnumNotInPESB, "\<*\>", InPESNotInEnumB, "\</\>", 
      InEnumInPESB, "\<+\>", InEnumNotInPESB, "\<+\>", 
      InPESNotInEnumB, "\<+\>", InEnumInPESB, "\< = \>", 
      projpop, "\< out of an actual black population of \>", 
      Bpop, "\<.  Undercount rate for corrected census is \>", \((projpop - 
            Bpop)\)*100/Bpop, "\<%\>"]\), "\[IndentingNewLine]", 
    \(\(Print["\<ANALYSIS OF WHITE POPULATION\>"];\)\), \
"\[IndentingNewLine]", 
    \(\(Print[InEnumInPESW, "\< in enum and PES;  \>", 
        InEnumNotInPESW, "\< in enum but not in PES;  \>", 
        InPESNotInEnumW, "\< in PES but not in enum\>"];\)\), "\
\[IndentingNewLine]", 
    \(\(projpop = 
        N[InEnumNotInPESW*InPESNotInEnumW/InEnumInPESW + InEnumNotInPESW + 
            InPESNotInEnumW + InEnumInPESW];\)\), "\[IndentingNewLine]", 
    \(Print["\<Sampling-corrected white census: \>", 
      InEnumNotInPESW, "\<*\>", InPESNotInEnumW, "\</\>", 
      InEnumInPESW, "\<+\>", InEnumNotInPESW, "\<+\>", 
      InPESNotInEnumW, "\<+\>", InEnumInPESW, "\< = \>", 
      projpop, "\< out of an actual white population of \>", 
      population - 
        Bpop, "\<.  Undercount rate for corrected census is \>", \((projpop - 
            population + 
            Bpop)\)*100/\((population - Bpop)\), "\<%\>"]\)}], "Input"]
}, Closed]]
}, Open  ]]
},
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WindowSize->{1162, 814},
WindowMargins->{{0, Automatic}, {Automatic, 0}},
Magnification->1.5,
StyleDefinitions -> "NaturalColor.nb"
]

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Cached data follows.  If you edit this Notebook file directly, not
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Cell[CellGroupData[{
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Cell[2303, 69, 3274, 59, 1693, "Input"]
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Cell[CellGroupData[{
Cell[5614, 133, 67, 1, 76, "Section"],
Cell[5684, 136, 184, 4, 98, "Text"],
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Cell[CellGroupData[{
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Cell[11097, 241, 121, 4, 55, "Text"],
Cell[11221, 247, 5093, 91, 2475, "Input"]
}, Closed]],

Cell[CellGroupData[{
Cell[16351, 343, 70, 1, 76, "Section"],
Cell[16424, 346, 167, 4, 98, "Text"],
Cell[16594, 352, 5331, 96, 2543, "Input"]
}, Closed]]
}, Open  ]]
}
]
*)



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