(* Content-type: application/vnd.wolfram.cdf.text *) (*** Wolfram CDF File ***) (* http://www.wolfram.com/cdf *) (* CreatedBy='Mathematica 9.0' *) (*************************************************************************) (* *) (* The Mathematica License under which this file was created prohibits *) (* restricting third parties in receipt of this file from republishing *) (* or redistributing it by any means, including but not limited to *) (* rights management or terms of use, without the express consent of *) (* Wolfram Research, Inc. For additional information concerning CDF *) (* licensing and redistribution see: *) (* *) (* www.wolfram.com/cdf/adopting-cdf/licensing-options.html *) (* *) (*************************************************************************) (*CacheID: 234*) (* Internal cache information: NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 1063, 20] NotebookDataLength[ 1241289, 21411] NotebookOptionsPosition[ 1237807, 21282] NotebookOutlinePosition[ 1239578, 21342] CellTagsIndexPosition[ 1239535, 21339] WindowFrame->Normal*) (* Beginning of Notebook Content *) Notebook[{ Cell[CellGroupData[{ Cell[TextData[{ "Introducci\[OAcute]n a la estad\[IAcute]stica con ", StyleBox["Mathematica", FontSlant->"Italic"], "." }], "Title", Evaluatable->False, FontFamily->"Arial"], Cell[TextData[{ "por ", StyleBox["Guillermo S\[AAcute]nchez", FontSlant->"Italic"], " " }], "Subtitle"], Cell[TextData[ButtonBox["http://diarium.usal.es/guillermo", BaseStyle->"Hyperlink", ButtonData->{ URL["http://diarium.usal.es/guillermo"], None}, ButtonNote->"http://diarium.usal.es/guillermo"]], "Subsubtitle"], Cell[TextData[{ "Universidad de Salamanca\n", ButtonBox["http://www.usal.es", BaseStyle->"Hyperlink", ButtonData:>{"www.usal.es", None}] }], "Subsubtitle"], Cell["Actualizado : 2013 - 09-23", "Text", FontSize->12], Cell[TextData[{ StyleBox["Este tutorial es una versi\[OAcute]n muy abrevida del \ cap\[IAcute]tulo que sobre estad\[IAcute]stica se incluye en el libro del \ autor ", FontSlant->"Plain"], StyleBox["Mathematica", FontWeight->"Bold", FontSlant->"Italic"], StyleBox[" m\[AAcute]s all\[AAcute] de las matem\[AAcute]ticas", FontWeight->"Bold", FontSlant->"Plain"], StyleBox[" (editado por ", FontSlant->"Plain"], ButtonBox["http://www.addlink.es", BaseStyle->"Hyperlink", ButtonData->{ URL["http://www.addlink.es"], None}, ButtonNote->"http://www.addlink.es"], StyleBox[")", FontSlant->"Plain"] }], "ItemParagraph"], Cell[CellGroupData[{ Cell["Estad\[IAcute]stica descriptiva", "Section"], Cell[BoxData[ RowBox[{"Clear", "[", "\"\\"", "]"}]], "Input"], Cell[TextData[{ "Cuando se trabaja con gran n\[UAcute]mero de datos uno de sus destinos m\ \[AAcute]s frecuentes es su tratamiento estad\[IAcute]stico, del que forma \ parte fundamental la representaci\[OAcute]n gr\[AAcute]fica de los datos. En \ esta secci\[OAcute]n vamos a utilizar alguna de las funciones m\[AAcute]s \ comunes para estudios estad\[IAcute]stico b\[AAcute]sicos: ", ButtonBox["tutorial/BasicStatistics", BaseStyle->"Link", ButtonData->"paclet:tutorial/BasicStatistics"], "." }], "Text"], Cell[TextData[{ "La instrucci\[OAcute]n ", Cell[BoxData[ RowBox[{ ButtonBox["RandomReal", BaseStyle->"Link", ButtonData->"paclet:ref/RandomReal"], "[", "]"}]], "InlineFormula"], "permite generar n\[UAcute]meros aleatorios reales que siguen una distribuci\ \[OAcute]n uniforme (aquella que toma un determinado valor constante ", Cell[BoxData[ RowBox[{ StyleBox["min", "TI"], "<", StyleBox["x", "TI"], "<", StyleBox["max", "TI"]}]], "InlineFormula"], ", y es 0 para ", Cell[BoxData[ RowBox[{ StyleBox["x", "TI"], "<", StyleBox["min", "TI"]}]], "InlineFormula"], " o ", Cell[BoxData[ RowBox[{ StyleBox["x", "TI"], ">", StyleBox["max", "TI"]}]], "InlineFormula"], "). En el ejemplo generamos dos listas con 20 n\[UAcute]meros comprendidos \ entre 0 y 10. 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Sin embargo, para la \ gran mayoria de aplicaciones pr\[AAcute]cticas pueden considerase a todos los \ efectos n\[UAcute]meros aleatorios.\ \>", "Text"], Cell[TextData[{ "Calculamos algunos de los estad\[IAcute]sticos m\[AAcute]s comunes de la \ primera lista (", StyleBox["data1", "Input"], "). Observe que empleamos la sintaxis ", StyleBox["{f1[#], ..., fn[#]}&[data1]", "Input"], " que es equivalente a ", StyleBox["{f1[data1], ..., fn[data1]}", "Input"], ", simplificando la escritura. A esta forma de definir las funciones, que se \ conoce como funciones puras, nos referiremos en el pr\[OAcute]ximo cap\ \[IAcute]tulo. 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Si posiciona el cursor dentro de cada barra se le mostrar\[AAcute] el \ valor que toma \[EAcute]sta." }], "Text"], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"Histogram", "[", RowBox[{"data1", ",", "5"}], "]"}]], "Input"], Cell[BoxData[ GraphicsBox[ {RGBColor[0.798413061722744, 0.824719615472648, 0.968322270542458], EdgeForm[Opacity[0.6649999999999999]], {}, {RGBColor[0.798413061722744, 0.824719615472648, 0.968322270542458], EdgeForm[Opacity[0.6649999999999999]], TagBox[ TooltipBox[ TagBox[ DynamicBox[{ FEPrivate`If[ CurrentValue["MouseOver"], EdgeForm[{ GrayLevel[0.5], AbsoluteThickness[1.5], Opacity[0.66]}], {}, {}], RectangleBox[{0., 0}, {2., 1}, "RoundingRadius" -> 0]}, ImageSizeCache->{{15., 154.69142857142856`}, {125.54888375291321`, 192.55428729342594`}}], StatusArea[#, 1]& , TagBoxNote->"1"], StyleBox["1", { GrayLevel[0]}, StripOnInput -> False]], Annotation[#, Style[1, { GrayLevel[0]}], "Tooltip"]& ], TagBox[ TooltipBox[ TagBox[ DynamicBox[{ FEPrivate`If[ 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