(* Content-type: application/vnd.wolfram.mathematica *) (*** Wolfram Notebook File ***) (* http://www.wolfram.com/nb *) (* CreatedBy='Mathematica 12.0' *) (*CacheID: 234*) (* Internal cache information: NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] NotebookDataLength[ 1153197, 20860] NotebookOptionsPosition[ 1145068, 20725] NotebookOutlinePosition[ 1145457, 20742] CellTagsIndexPosition[ 1145414, 20739] WindowFrame->Normal*) (* Beginning of Notebook Content *) Notebook[{ Cell[CellGroupData[{ Cell[TextData[{ "Code for Simulations in ", StyleBox["Asymmetrical Reliability of the Alda Score favours a Dichotomous \ Representation of Lithium Response", FontSlant->"Italic"] }], "Title", CellChangeTimes->{{3.778106025192375*^9, 3.778106040751792*^9}, { 3.778437110170042*^9, 3.7784371128571777`*^9}, {3.778439352598514*^9, 3.778439395940172*^9}},ExpressionUUID->"1b73d40c-3d59-49a1-93dc-\ 2bdb6f495bdb"], Cell[TextData[StyleBox["Abraham Nunes (nunes@dal.ca), Thomas Trappenberg, and \ Martin Alda\nDalhousie University, Halifax, Nova Scotia, Canada", FontSlant->"Italic"]], "Subtitle", CellChangeTimes->{{3.778439372828755*^9, 3.778439432675152*^9}, 3.7806867747170897`*^9},ExpressionUUID->"3783cb5f-2ea1-48f6-b250-\ 457407e26093"], Cell[CellGroupData[{ Cell["Preliminaries", "Section", CellChangeTimes->{{3.778439446946288*^9, 3.778439449166504*^9}},ExpressionUUID->"6de519b3-ad31-44bf-9ef4-\ a7a4eb86f9a0"], Cell[BoxData[ RowBox[{ RowBox[{"SeedRandom", "[", "865", "]"}], ";"}]], "Code", CellChangeTimes->{{3.778439451970237*^9, 3.77843946527372*^9}, { 3.778440151765648*^9, 3.778440152058103*^9}, {3.77844040722153*^9, 3.778440407288782*^9}}, CellLabel-> "In[210]:=",ExpressionUUID->"a88fdbb1-a087-4f3b-9491-4c078926508e"] }, Open ]], Cell[CellGroupData[{ Cell["Data generating process", "Section", CellChangeTimes->{{3.778106049423394*^9, 3.778106079182672*^9}, { 3.778325786357572*^9, 3.778325790405654*^9}},ExpressionUUID->"ad0b16b7-d00f-4298-98dd-\ 65522242f57a"], Cell["\<\ The reflection function simply keeps points within a certain bounded box [l, \ u] by reflecting points that exceed those bounds back into the box.\ \>", "Text", CellChangeTimes->{{3.778437298691311*^9, 3.778437343338166*^9}, { 3.7784387439732323`*^9, 3.778438745597292*^9}},ExpressionUUID->"8ba5aacd-388b-4a50-9eec-\ a34249a06c7f"], Cell[BoxData[ StyleBox[ RowBox[{ RowBox[{ RowBox[{"Reflection", "[", RowBox[{"l_", ",", " ", "u_"}], "]"}], "[", "x_", "]"}], ":=", RowBox[{"Max", "[", RowBox[{"{", RowBox[{ RowBox[{"Min", "[", RowBox[{"{", RowBox[{"x", ",", " ", RowBox[{"Max", "[", RowBox[{"{", RowBox[{ RowBox[{ RowBox[{"2", "u"}], "-", "x"}], ",", " ", "l"}], "}"}], "]"}]}], "}"}], "]"}], ",", " ", RowBox[{"Min", "[", RowBox[{"{", RowBox[{ RowBox[{ RowBox[{"2", "l"}], "-", "x"}], ",", " ", "u"}], "}"}], "]"}]}], "}"}], "]"}]}], "Code"]], "Code", CellChangeTimes->{3.778437294404607*^9}, CellLabel-> "In[211]:=",ExpressionUUID->"418907f8-a60b-440b-8809-c9996c5b622f"], Cell[TextData[{ "Now we define the data generators. 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