{"id":596,"date":"2023-07-29T09:18:19","date_gmt":"2023-07-29T09:18:19","guid":{"rendered":"https:\/\/statorials.org\/ja\/%e5%b0%8e%e9%80%9a%e8%a3%9c%e6%ad%a3%e8%a8%88%e7%ae%97%e6%a9%9f\/"},"modified":"2023-07-29T09:18:19","modified_gmt":"2023-07-29T09:18:19","slug":"%e5%b0%8e%e9%80%9a%e8%a3%9c%e6%ad%a3%e8%a8%88%e7%ae%97%e6%a9%9f","status":"publish","type":"post","link":"https:\/\/statorials.org\/ja\/%e5%b0%8e%e9%80%9a%e8%a3%9c%e6%ad%a3%e8%a8%88%e7%ae%97%e6%a9%9f\/","title":{"rendered":"\u5c0e\u901a\u88dc\u6b63\u8a08\u7b97\u6a5f"},"content":{"rendered":"<p><script src=\"https:\/\/cdnjs.cloudflare.com\/ajax\/libs\/mathjs\/5.1.1\/math.js\"><\/script><script src=\"https:\/\/cdn.jsdelivr.net\/npm\/jstat@latest\/dist\/jstat.min.js\"><\/script><\/p>\n<style>\n@import url('https:\/\/fonts.googleapis.com\/css?family=Droid+Serif|Raleway');<\/p>\n<p>.axis--y .domain {\n  display: none;\n}<\/p>\n<p>h1 {\ntext-align: center;\nfont-size: 50px;\nmargin-bottom: 0px;\nfont-family: 'Raleway', serif;\n}<\/p>\n<p>p {\ncolor: black;\ntext-align: center;\nmargin-bottom: 15px;\nmargin-top: 15px;\nfont-family: 'Raleway', sans-serif;\n}<\/p>\n<p>#words {\ncolor: black;\nfont-family: Raleway;\nmax-width: 550px;\nmargin: 25px auto;\nline-height: 1.75;\npadding-left: 100px;\n}<\/p>\n<p>#calcTitle {\ntext-align: center;\nfont-size: 20px;\nmargin-bottom: 0px;\nfont-family: 'Raleway', serif;\n}<\/p>\n<p>#hr_top {\nwidth: 30%;\nmargin-bottom: 0px;\nborder: none;\nheight: 2px;\ncolor: black;\nbackground-color: black;\n}<\/p>\n<p>#hr_bottom {\nwidth: 30%;\nmargin-top: 15px;\nborder: none;\nheight: 2px;\ncolor: black;\nbackground-color: black;\n}<\/p>\n<p>label, input {\n    display: inline-block;\n    vertical-align: baseline;\n    width: 350px;\n}<\/p>\n<p>    #button {\n      border: 1px solid;\n      border-radius: 10px;\n      margin-top: 20px;\n      padding: 10px 10px;\n      cursor: pointer;\n      outline: none;\n      background-color: white;\n      color: black;\n      font-family: 'Work Sans', sans-serif;\n      border: 1px solid grey;\n      \/* Green *\/\n    }<\/p>\n<p>    #button:hover {\n      background-color: #f6f6f6;\n      border: 1px solid black;\n    }\n#words_intro {\ncolor: black;\nfont-family: Raleway;\nmax-width: 550px;\nmargin: 25px auto;\nline-height: 1.75;\n}\n<\/style>\n<div id=\"words_intro\"><b><a href=\"https:\/\/statorials.org\/ja\/\u5c0e\u901a\u88dc\u6b63\/\" target=\"_blank\" rel=\"noopener\">\u9023\u7d9a\u6027\u88dc\u6b63\u306f\u3001<\/a><\/b>\u6b63\u898f\u5206\u5e03\u3092\u4f7f\u7528\u3057\u3066\u4e8c\u9805\u5206\u5e03\u3092\u8fd1\u4f3c\u3059\u308b\u5834\u5408\u306b\u4f7f\u7528\u3057\u307e\u3059\u3002<\/div>\n<div id=\"words_intro\">\u3053\u306e\u8a08\u7b97\u30c4\u30fc\u30eb\u3092\u4f7f\u7528\u3059\u308b\u3068\u3001\u6b63\u898f\u5206\u5e03\u306b\u9023\u7d9a\u6027\u88dc\u6b63\u3092\u9069\u7528\u3057\u3066\u3001\u4e8c\u9805\u5206\u5e03\u306e\u8fd1\u4f3c\u78ba\u7387\u3092\u898b\u3064\u3051\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/div>\n<div id=\"words_intro\">\u4ee5\u4e0b\u306e\u7279\u5b9a\u306e\u4e8c\u9805\u5206\u5e03\u306b\u9069\u5207\u306a\u5024\u3092\u5165\u529b\u3057\u3001\u300c\u8a08\u7b97\u300d\u30dc\u30bf\u30f3\u3092\u30af\u30ea\u30c3\u30af\u3059\u308b\u3060\u3051\u3067\u3059\u3002<\/div>\n<div id=\"words\"> <label for=\"n\"><b>n<\/b> (\u8a66\u884c\u56de\u6570)<\/label><input type=\"number\" id=\"n\" min=\"0\" value=\"5\"><\/div>\n<div id=\"words\"> <label for=\"X\"><b>X<\/b> (\u6210\u529f\u6570)<\/label><input type=\"number\" id=\"X\" min=\"0\" value=\"3\"><\/div>\n<div id=\"words\"> <label for=\"p\"><b>p<\/b> (\u7279\u5b9a\u306e\u8a66\u884c\u306b\u304a\u3051\u308b\u6210\u529f\u306e\u78ba\u7387)<\/label> <input type=\"number\" id=\"p\" min=\"0\" value=\"0.4\" step=\".01\"><\/div>\n<div id=\"words\"><input type=\"button\" id=\"button\" onclick=\"binomialCalc()\" value=\"Calculate\"><\/div>\n<div id=\"words\"><b>\u6b63\u78ba\u306a\u4e8c\u9805\u78ba\u7387:<\/b><\/div>\n<div>\n<p> P(X = <span class=\"user_X\">3<\/span> ): <span id=\"exactProb\">0.23040<\/span><\/p>\n<\/div>\n<div>\n<p> P(X \u2264 <span class=\"user_X\">3<\/span> ): <span id=\"lessEqualProb\">0.92196<\/span><\/p>\n<\/div>\n<div>\n<p> P(X &lt; <span class=\"user_X\">3<\/span> ): <span id=\"lessProb\">0.68256<\/span><\/p>\n<\/div>\n<div>\n<p> P( <span class=\"user_X\">X\u22653<\/span> ): <span id=\"greaterEqualProb\">0.31744<\/span><\/p>\n<\/div>\n<div>\n<p> P(X &gt; <span class=\"user_X\">3<\/span> ): <span id=\"greaterProb\">0.08704<\/span><\/p>\n<\/div>\n<div id=\"words\"><b>\u9023\u7d9a\u6027\u88dc\u6b63\u3092\u4f7f\u7528\u3057\u305f\u304a\u304a\u3088\u305d\u306e\u78ba\u7387:<\/b><\/div>\n<div>\n<p> P( <span id=\"user_X1\">2.5<\/span> &lt; X &lt; <span id=\"user_X2\">3.5<\/span> ): <span id=\"approxProb1\">0.23040<\/span><\/p>\n<\/div>\n<div>\n<p> P(X&lt; <span id=\"user_X3\">3.5<\/span> ): <span id=\"approxProb2\">0.92196<\/span><\/p>\n<\/div>\n<div>\n<p> P(X &lt; <span id=\"user_X4\">2.5<\/span> ): <span id=\"approxProb3\">0.68256<\/span><\/p>\n<\/div>\n<div>\n<p> P(X &gt; <span id=\"user_X5\">2.5<\/span> ): <span id=\"approxProb4\">0.31744<\/span><\/p>\n<\/div>\n<div>\n<p> P(X &gt; <span id=\"user_X6\">3.5<\/span> ): <span id=\"approxProb5\">0.08704<\/span><\/p>\n<\/div>\n<p><script><\/p>\n<p>function binomialCalc() {<\/p>\n<p>\/\/get input values\nvar X = document.getElementById('X').value;\nvar p = document.getElementById('p').value;\nvar n = document.getElementById('n').value;<\/p>\n<p>\/\/calculate cumulative probabilities\t\nvar probArray = [];\nfor (var i = 0; i <= X; i++) {\n\tprobArray[i] = (math.factorial(n) \/ (math.factorial(n-i) * math.factorial(i))) * Math.pow(p, i) * Math.pow((1-p), (n-i));\n\t}\n\n\/\/assign probabilities to variable names\nvar exactProb = (math.factorial(n) \/ (math.factorial(n-X) * math.factorial(X))) * Math.pow(p, X) * Math.pow((1-p), (n-X));\nvar lessEqualProb = math.sum(probArray);\nvar lessProb = lessEqualProb - exactProb;\nvar greaterEqualProb = 1 - lessProb;\nvar greaterProb = 1 - lessEqualProb;\n\n\/\/output probabilities\ndocument.getElementById('exactProb').innerHTML = exactProb.toFixed(5);\ndocument.getElementById('lessEqualProb').innerHTML = lessEqualProb.toFixed(5);\ndocument.getElementById('lessProb').innerHTML = lessProb.toFixed(5);\ndocument.getElementById('greaterEqualProb').innerHTML = greaterEqualProb.toFixed(5);\ndocument.getElementById('greaterProb').innerHTML = greaterProb.toFixed(5);\n\n\/\/change X to reflect value that user entered\ndocument.getElementsByClassName('user_X')[0].innerHTML = X;\ndocument.getElementsByClassName('user_X')[1].innerHTML = X;\ndocument.getElementsByClassName('user_X')[2].innerHTML = X;\ndocument.getElementsByClassName('user_X')[3].innerHTML = X;\ndocument.getElementsByClassName('user_X')[4].innerHTML = X;\n\n\/\/find correct continuity correction values\nvar user_X1 = X-.5;\nvar user_X2 = X-(-.5);\nvar user_X3 = X-(-.5);\nvar user_X4 = X-.5;\nvar user_X5 = X-.5;\nvar user_X6 = X-(-.5);\n\n\/\/apply continuity correction values\ndocument.getElementById('user_X1').innerHTML = (user_X1).toFixed(1);\ndocument.getElementById('user_X2').innerHTML = (user_X2).toFixed(1);\ndocument.getElementById('user_X3').innerHTML = (user_X3).toFixed(1);\ndocument.getElementById('user_X4').innerHTML = (user_X4).toFixed(1);\ndocument.getElementById('user_X5').innerHTML = (user_X5).toFixed(1);\ndocument.getElementById('user_X6').innerHTML = (user_X6).toFixed(1);\n\n\/\/find z scores\nvar mean_z = n*p;\nvar stdev_z = Math.sqrt(n*p*(1-p));\n\n\/\/find z-scores\nvar approxProb1 = jStat.normal.cdf(user_X2, mean_z, stdev_z) - jStat.normal.cdf(user_X1, mean_z, stdev_z);\nvar approxProb2 = jStat.normal.cdf(user_X3, mean_z, stdev_z);\nvar approxProb3 = jStat.normal.cdf(user_X4, mean_z, stdev_z);\nvar approxProb4 = 1-jStat.normal.cdf(user_X5, mean_z, stdev_z);\nvar approxProb5 = 1-jStat.normal.cdf(user_X6, mean_z, stdev_z);\n\n\/\/output probabilities\ndocument.getElementById('approxProb1').innerHTML = approxProb1.toFixed(5);\ndocument.getElementById('approxProb2').innerHTML = approxProb2.toFixed(5);\ndocument.getElementById('approxProb3').innerHTML = approxProb3.toFixed(5);\ndocument.getElementById('approxProb4').innerHTML = approxProb4.toFixed(5);\ndocument.getElementById('approxProb5').innerHTML = approxProb5.toFixed(5);\n}\n\n<\/script><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u9023\u7d9a\u6027\u88dc\u6b63\u306f\u3001\u6b63\u898f\u5206\u5e03\u3092\u4f7f\u7528\u3057\u3066\u4e8c\u9805\u5206\u5e03\u3092\u8fd1\u4f3c\u3059\u308b\u5834\u5408\u306b\u4f7f\u7528\u3057\u307e\u3059\u3002 \u3053\u306e\u8a08\u7b97\u30c4\u30fc\u30eb\u3092\u4f7f\u7528\u3059\u308b\u3068\u3001\u6b63\u898f\u5206\u5e03\u306b\u9023\u7d9a\u6027\u88dc\u6b63\u3092\u9069\u7528\u3057\u3066\u3001\u4e8c\u9805\u5206\u5e03\u306e\u8fd1\u4f3c\u78ba\u7387\u3092\u898b\u3064\u3051\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 \u4ee5\u4e0b\u306e\u7279\u5b9a\u306e\u4e8c\u9805\u5206\u5e03\u306b\u9069\u5207\u306a\u5024\u3092\u5165\u529b\u3057\u3001\u300c\u8a08 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[16],"tags":[],"class_list":["post-596","post","type-post","status-publish","format-standard","hentry","category-16"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u9023\u7d9a\u6027\u88dc\u6b63\u8a08\u7b97\u6a5f - \u30b9\u30c6\u30fc\u30bf\u30b9<\/title>\n<meta name=\"description\" content=\"\u3053\u306e\u8a08\u7b97\u6a5f\u306f\u3001\u6b63\u898f\u5206\u5e03\u306b\u9023\u7d9a\u6027\u88dc\u6b63\u3092\u9069\u7528\u3059\u308b\u3053\u3068\u306b\u3088\u308a\u3001\u8fd1\u4f3c\u306e\u4e8c\u9805\u78ba\u7387\u3092\u6c42\u3081\u307e\u3059\u3002\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" 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