{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Mann-Whitney U test\n", "\n", "Example illustrating Mann-Whitney U test with statsample.\n", "\n", "#### References\n", "\n", "http://en.wikipedia.org/wiki/Mann%E2%80%93Whitney_U_test" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [ { "data": { "application/javascript": [ "if(window['d3'] === undefined ||\n", " window['Nyaplot'] === undefined){\n", " var path = {\"d3\":\"https://cdnjs.cloudflare.com/ajax/libs/d3/3.5.5/d3.min\",\"downloadable\":\"https://cdn.rawgit.com/domitry/d3-downloadable/master/d3-downloadable\"};\n", "\n", "\n", "\n", " var shim = {\"d3\":{\"exports\":\"d3\"},\"downloadable\":{\"exports\":\"downloadable\"}};\n", "\n", " require.config({paths: path, shim:shim});\n", "\n", "\n", "require(['d3'], function(d3){window['d3']=d3;console.log('finished loading d3');require(['downloadable'], function(downloadable){window['downloadable']=downloadable;console.log('finished loading downloadable');\n", "\n", "\tvar script = d3.select(\"head\")\n", "\t .append(\"script\")\n", "\t .attr(\"src\", \"https://cdn.rawgit.com/domitry/Nyaplotjs/master/release/nyaplot.js\")\n", "\t .attr(\"async\", true);\n", "\n", "\tscript[0][0].onload = script[0][0].onreadystatechange = function(){\n", "\n", "\n", "\t var event = document.createEvent(\"HTMLEvents\");\n", "\t event.initEvent(\"load_nyaplot\",false,false);\n", "\t window.dispatchEvent(event);\n", "\t console.log('Finished loading Nyaplotjs');\n", "\n", "\t};\n", "\n", "\n", "});});\n", "}\n" ], "text/plain": [ "\"if(window['d3'] === undefined ||\\n window['Nyaplot'] === undefined){\\n var path = {\\\"d3\\\":\\\"https://cdnjs.cloudflare.com/ajax/libs/d3/3.5.5/d3.min\\\",\\\"downloadable\\\":\\\"https://cdn.rawgit.com/domitry/d3-downloadable/master/d3-downloadable\\\"};\\n\\n\\n\\n var shim = {\\\"d3\\\":{\\\"exports\\\":\\\"d3\\\"},\\\"downloadable\\\":{\\\"exports\\\":\\\"downloadable\\\"}};\\n\\n require.config({paths: path, shim:shim});\\n\\n\\nrequire(['d3'], function(d3){window['d3']=d3;console.log('finished loading d3');require(['downloadable'], function(downloadable){window['downloadable']=downloadable;console.log('finished loading downloadable');\\n\\n\\tvar script = d3.select(\\\"head\\\")\\n\\t .append(\\\"script\\\")\\n\\t .attr(\\\"src\\\", \\\"https://cdn.rawgit.com/domitry/Nyaplotjs/master/release/nyaplot.js\\\")\\n\\t .attr(\\\"async\\\", true);\\n\\n\\tscript[0][0].onload = script[0][0].onreadystatechange = function(){\\n\\n\\n\\t var event = document.createEvent(\\\"HTMLEvents\\\");\\n\\t event.initEvent(\\\"load_nyaplot\\\",false,false);\\n\\t window.dispatchEvent(event);\\n\\t console.log('Finished loading Nyaplotjs');\\n\\n\\t};\\n\\n\\n});});\\n}\\n\"" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Analysis 2016-03-26 02:37:49 +0000\n", "= Statsample::Test::UMannWhitney\n", " == Mann-Whitney's U\n", " Mann-Whitney's U results\n", "+--------------------------------------+-------------------+\n", "| Sum of ranks | 81.000 |\n", "| Sum of ranks | 384.000 |\n", "| U Value | 26.000 |\n", "| Z | -3.258 (p: 0.001) |\n", "| Exact p (Dinneen & Blakesley, 1973): | 0.001 |\n", "+--------------------------------------+-------------------+\n", "\n", "\n" ] } ], "source": [ "require 'statsample'\n", "\n", "Statsample::Analysis.store(Statsample::Test::UMannWhitney) do\n", "\n", " a = Daru::Vector.new(10.times.map {rand(100)})\n", " b = Daru::Vector.new(20.times.map {(rand(20))**2+50})\n", "\n", " u=Statsample::Test::UMannWhitney.new(a,b)\n", " summary u\n", "end\n", " Statsample::Analysis.run_batch" ] } ], "metadata": { "kernelspec": { "display_name": "Ruby 2.2.1", "language": "ruby", "name": "ruby" }, "language_info": { "file_extension": ".rb", "mimetype": "application/x-ruby", "name": "ruby", "version": "2.2.1" } }, "nbformat": 4, "nbformat_minor": 0 }