{"id":515,"date":"2023-07-29T15:49:51","date_gmt":"2023-07-29T15:49:51","guid":{"rendered":"https:\/\/statorials.org\/my\/%e1%80%86%e1%80%af%e1%80%b6%e1%80%b8%e1%80%96%e1%80%bc%e1%80%90%e1%80%ba%e1%80%81%e1%80%bb%e1%80%80%e1%80%ba%e1%80%85%e1%80%8a%e1%80%ba%e1%80%b8%e1%80%99%e1%80%bb%e1%80%89%e1%80%ba%e1%80%b8%e1%80%82\/"},"modified":"2023-07-29T15:49:51","modified_gmt":"2023-07-29T15:49:51","slug":"%e1%80%86%e1%80%af%e1%80%b6%e1%80%b8%e1%80%96%e1%80%bc%e1%80%90%e1%80%ba%e1%80%81%e1%80%bb%e1%80%80%e1%80%ba%e1%80%85%e1%80%8a%e1%80%ba%e1%80%b8%e1%80%99%e1%80%bb%e1%80%89%e1%80%ba%e1%80%b8%e1%80%82","status":"publish","type":"post","link":"https:\/\/statorials.org\/my\/%e1%80%86%e1%80%af%e1%80%b6%e1%80%b8%e1%80%96%e1%80%bc%e1%80%90%e1%80%ba%e1%80%81%e1%80%bb%e1%80%80%e1%80%ba%e1%80%85%e1%80%8a%e1%80%ba%e1%80%b8%e1%80%99%e1%80%bb%e1%80%89%e1%80%ba%e1%80%b8%e1%80%82\/","title":{"rendered":"\u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u1001\u103b\u1000\u103a\u1005\u100a\u103a\u1038\u1000\u1019\u103a\u1038\u1019\u103b\u102c\u1038\u1002\u100f\u1014\u103a\u1038\u1010\u103d\u1000\u103a\u1005\u1000\u103a"},"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>h1 {\ncolor: black;\ntext-align: center;\nmargin-top: 15px;\nmargin-bottom: 0px;\nfont-family: 'Raleway', sans-serif;\n}<\/p>\n<p>h2 {\ncolor: black;\nfont-size: 20px;\ntext-align: center;\nmargin-bottom: 15px;\nmargin-top: 15px;\nfont-family: 'Raleway', sans-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_intro {\ncolor: black;\nfont-family: Raleway;\nmax-width: 550px;\nmargin: 25px auto;\nline-height: 1.75;\n}<\/p>\n<p>#words_outro {\ncolor: black;\nfont-family: Raleway;\nmax-width: 550px;\nmargin: 25px auto;\nline-height: 1.75;\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>#words_t {\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;\nmargin-top: 10px;\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>#words label, input {\n    display: inline-block;\n    vertical-align: baseline;\n    width: 350px;\n}<\/p>\n<p>.input_label_calc {\n    display: inline-block;\n    vertical-align: baseline;\n    width: 350px;\n}<\/p>\n<p>    #button_calc {\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_calc:hover {\n      background-color: #f6f6f6;\n      border: 1px solid black;\n    }<\/p>\n<p>\t    .label_radio {\n\ttext-align: center;\n}\n<\/style>\n<div id=\"words_intro\"><a href=\"https:\/\/statorials.org\" target=\"_blank\" rel=\"noopener\">\u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f<\/a> \u1010\u103d\u1004\u103a\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1006\u102d\u102f\u1004\u103a\u101b\u102c \u101a\u1030\u1006\u1001\u103b\u1000\u103a\u1010\u1005\u103a\u1001\u102f\u1000\u102d\u102f \u1004\u103c\u1004\u103a\u1038\u1015\u101a\u103a\u101e\u1004\u1037\u103a\u101e\u100a\u103a \u101b\u103e\u102d\u1019\u101b\u103e\u102d\u1000\u102d\u102f \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037 \u101e\u102d\u101c\u102d\u102f\u1015\u102b\u101e\u100a\u103a\u104b<\/div>\n<div id=\"words_intro\"> \u1024\u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u1001\u103b\u1000\u103a\u1000\u102d\u102f\u1001\u103b\u101b\u1014\u103a\u1021\u1010\u103d\u1000\u103a\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032\u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u104f p-\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1000\u102d\u102f \u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032\u1021\u1010\u103d\u1000\u103a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101b\u1014\u103a \u101b\u103d\u1031\u1038\u1001\u103b\u101a\u103a\u1011\u102c\u1038\u101e\u1031\u102c \u1021\u101b\u1031\u1038\u1015\u102b\u101e\u100a\u1037\u103a\u1021\u1006\u1004\u1037\u103a\u1010\u1005\u103a\u1001\u102f\u1014\u103e\u1004\u1037\u103a \u1014\u103e\u102d\u102f\u1004\u103a\u1038\u101a\u103e\u1009\u103a\u1015\u102b\u101e\u100a\u103a\u104b p-value \u101e\u100a\u103a \u1021\u101b\u1031\u1038\u1015\u102b\u1019\u103e\u102f\u1021\u1006\u1004\u1037\u103a\u1011\u1000\u103a\u1014\u100a\u103a\u1038\u1015\u102b\u1000\u104a null hypothesis \u1000\u102d\u102f \u1004\u103c\u1004\u103a\u1038\u1015\u101a\u103a\u1015\u102b\u101e\u100a\u103a\u104b \u1019\u101f\u102f\u1010\u103a\u1015\u102b\u1000\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a null hypothesis \u1000\u102d\u102f \u1004\u103c\u1004\u103a\u1038\u1015\u101a\u103a\u101b\u1014\u103a \u1015\u103b\u1000\u103a\u1000\u103d\u1000\u103a\u1019\u100a\u103a\u1016\u103c\u1005\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/div>\n<div id=\"words_intro\"> \u1024\u1002\u100f\u1014\u103a\u1038\u1010\u103d\u1000\u103a\u1005\u1000\u103a\u101e\u100a\u103a \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u104a \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1015\u102f\u1036\u1005\u1036 (\u1021\u1019\u103c\u102e\u1038\u1010\u1005\u103a\u1015\u102d\u102f\u1004\u103a\u1038 \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u1014\u103e\u1005\u103a\u1019\u103c\u102e\u1038\u1015\u102b) \u1014\u103e\u1004\u1037\u103a \u101e\u1004\u103a\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101b\u1014\u103a \u101b\u103d\u1031\u1038\u1001\u103b\u101a\u103a\u1001\u1032\u1037\u101e\u100a\u1037\u103a \u1021\u101b\u1031\u1038\u1015\u102b\u1019\u103e\u102f\u1021\u1006\u1004\u1037\u103a\u1021\u1015\u1031\u102b\u103a \u1021\u1001\u103c\u1031\u1001\u1036\u104d \u1021\u1001\u103b\u100a\u103a\u1038\u1014\u103e\u102e\u1038\u101e\u1031\u102c\u101a\u1030\u1006\u1001\u103b\u1000\u103a\u1010\u1005\u103a\u1001\u102f\u1000\u102d\u102f \u1004\u103c\u1004\u103a\u1038\u1015\u101a\u103a\u101e\u1004\u1037\u103a\u101e\u100a\u103a\u1016\u103c\u1005\u103a\u1005\u1031 \u1024\u1002\u100f\u1014\u103a\u1038\u1015\u1031\u102b\u1004\u103a\u1038\u1005\u1000\u103a\u1000 \u101e\u1004\u1037\u103a\u1021\u102c\u1038 \u1015\u103c\u1031\u102c\u1015\u103c\u101e\u100a\u103a\u104b<\/div>\n<div id=\"words\">\n<p style=\"text-align: left\"> <b>\u1010\u1005\u103a\u1016\u1000\u103a\u101e\u1010\u103a \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u1021\u1015\u103c\u1014\u103a\u1021\u101c\u103e\u1014\u103a \u101a\u1030\u1006\u1001\u103b\u1000\u103a\u104b<\/b><\/p>\n<p> <label class=\"label_radio\" for=\"one_tailed\">\u1010\u1005\u103a\u1016\u1000\u103a\u101e\u1010\u103a<\/label><input type=\"radio\" id=\"one_tailed\" name=\"tails\"> <label class=\"label_radio\" for=\"two_tailed\">\u1014\u103e\u1005\u103a\u1019\u103c\u102e\u1038<\/label> <input type=\"radio\" id=\"two_tailed\" name=\"tails\" checked=\"\"><\/p>\n<\/div>\n<div id=\"words\">\n<p style=\"text-align: left\"> <b>\u1021\u101b\u1031\u1038\u1015\u102b\u1019\u103e\u102f\u1021\u1006\u1004\u1037\u103a<\/b><\/p>\n<p> <label class=\"label_radio\" for=\"one\">\u1040.\u1040\u1041<\/label><input type=\"radio\" id=\"one\" name=\"sig\" value=\"0.01\"> <label class=\"label_radio\" for=\"five\">\u1040.\u1040\u1045<\/label><input type=\"radio\" id=\"five\" name=\"sig\" value=\"0.05\" checked=\"\"> <label class=\"label_radio\" for=\"ten\">\u1040.\u1041\u1040<\/label> <input type=\"radio\" id=\"ten\" name=\"sig\" value=\"0.10\"><\/p>\n<\/div>\n<div id=\"words\">\n<p style=\"text-align: left\"> <b>Z \u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038 \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a T \u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038?<\/b><\/p>\n<p> <label class=\"label_radio\" for=\"z\">Z-\u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038<\/label><input type=\"radio\" id=\"z\" name=\"test_stats\" onclick=\"dataOption()\" checked=\"\"> <label class=\"label_radio\" for=\"t\">t-\u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038<\/label><input type=\"radio\" id=\"t\" name=\"test_stats\" onclick=\"dataOption()\"><\/p>\n<\/div>\n<div id=\"words_t\"> <label class=\"input_label_calc\" for=\"dof\"><b>\u101c\u103d\u1010\u103a\u101c\u1015\u103a\u1019\u103e\u102f\u1012\u102e\u1002\u101b\u102e<\/b><\/label><input class=\"input_label_calc\" type=\"number\" id=\"dof\" value=\"17\"><\/div>\n<div id=\"words\"><label class=\"input_label_calc\" for=\"stat\"><b>\u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1000\u102d\u102f \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1015\u102b\u104b<\/b><\/label> <input class=\"input_label_calc\" type=\"number\" id=\"stat\" value=\"1.34\"><\/div>\n<div id=\"words\"><input class=\"input_label_calc\" type=\"button\" id=\"button_calc\" onclick=\"calc()\" value=\"Find Decision Rule\"><\/div>\n<div id=\"words_outro\">\n<p> \u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u1001\u103b\u1000\u103a\u1005\u100a\u103a\u1038\u1019\u103b\u1009\u103a\u1038- <b><span id=\"decision\">null hypothesis \u1000\u102d\u102f \u1019\u1004\u103c\u1004\u103a\u1038\u1015\u101a\u103a\u1015\u102b\u1014\u103e\u1004\u1037\u103a<\/span><\/b><\/p>\n<\/div>\n<hr>\n<div id=\"words_outro\">\n<p> <b>\u101b\u103e\u1004\u103a\u1038\u101c\u1004\u103a\u1038\u1001\u103b\u1000\u103a<\/b><\/p>\n<\/div>\n<div id=\"words_intro\">\n<p> <span id=\"test_output_tail\">\u1021\u1019\u103c\u102e\u1038\u1014\u103e\u1005\u103a\u1015\u102d\u102f\u1004\u103a\u1038<\/span> \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1010\u1005\u103a\u1001\u102f\u1021\u1010\u103d\u1000\u103a <span id=\"test_output_name\">Z \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038<\/span> \u1010\u1005\u103a\u1001\u102f\u1021\u1010\u103d\u1000\u103a p-\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u101e\u100a\u103a <span id=\"test_output\">0.18025<\/span> <b><span id=\"p_output\">\u1016\u103c\u1005\u103a\u101e\u100a\u103a<\/span><\/b> \u104b \u1024 p-value \u101e\u100a\u103a <span id=\"test_output_sig\">0.05<\/span> <span id=\"test_output_sign\">\u1011\u1000\u103a \u1000\u103c\u102e\u1038\u101e\u1031\u102c<\/span> \u1000\u103c\u1031\u102c\u1004\u1037\u103a\u104a <b><span id=\"test_output_decision\">null hypothesis \u1000\u102d\u102f \u1004\u103c\u1004\u103a\u1038\u1015\u101a\u103a\u101b\u1014\u103a \u1015\u103b\u1000\u103a\u1000\u103d\u1000\u103a\u1015\u102b\u101e\u100a\u103a<\/span><\/b> \u104b<\/p>\n<\/div>\n<p><script>\n\/\/create function that shows or hides elements based on button click\nvar div_table = document.getElementById('words_t');\ndiv_table.style.display = 'none';\nfunction dataOption() {\n    if (document.getElementById('t').checked) {\n\tdiv_table.style.display = 'block';\n       } else {\n\tdiv_table.style.display = 'none';\n      }\n}<\/p>\n<p>function calc() {\t\n\/\/get test statistic\nvar input_test_stat = document.getElementById('stat').value*1;\nvar dof = document.getElementById('dof').value*1;<\/p>\n<p>\/\/get tails input\nvar input_tails = 1;\nvar output_tail = 'one-tailed';\nif (document.getElementById('two_tailed').checked) {\n  input_tails = 2;\n  output_tail = 'two-tailed';\n}\t<\/p>\n<p>\/\/get significance level input\nvar input_sig = 0;\nif (document.getElementById('one').checked) {\n  sig_level = 0.01;\n} else if (document.getElementById('five').checked) {\n  sig_level = 0.05;\n} else {\n  sig_level = 0.10;\n}<\/p>\n<p>\/\/compute p-value\nvar p_output = jStat.normal.cdf(Math.abs(input_test_stat), 0, 1)*input_tails;\nvar input_test_name = 'Z-statistic';<\/p>\n<p>if (document.getElementById('t').checked) {\n  p_output = jStat.studentt.cdf(Math.abs(input_test_stat), dof)*input_tails;\n  var input_test_name = 't-statistic';\n}<\/p>\n<p>if (p_output >= 1) {\n  p_output = 2 - p_output;\n}<\/p>\n<p>\/\/last correction for one-tailed\nif (input_tails == 1) {\n  p_output = 1 - p_output;\n}\t\t<\/p>\n<p>\/\/compute decision rule\nvar test_output_sign = 'greater than';\nvar test_output_decision = 'fail to reject the null hypothesis';<\/p>\n<p>if (p_output < sig_level) {\nvar test_output_sign = 'less than';\nvar test_output_decision = 'reject the null hypothesis';}\n\n\/\/output\ndocument.getElementById('p_output').innerHTML = p_output.toFixed(5);\ndocument.getElementById('test_output_name').innerHTML = input_test_name;\ndocument.getElementById('test_output').innerHTML = input_test_stat;\ndocument.getElementById('test_output_tail').innerHTML = output_tail;\ndocument.getElementById('test_output_sign').innerHTML = test_output_sign;\ndocument.getElementById('test_output_sig').innerHTML = sig_level;\ndocument.getElementById('test_output_decision').innerHTML = test_output_decision;\ndocument.getElementById('decision').innerHTML = test_output_decision;\n}\n\n<\/script><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f \u1010\u103d\u1004\u103a\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1006\u102d\u102f\u1004\u103a\u101b\u102c \u101a\u1030\u1006\u1001\u103b\u1000\u103a\u1010\u1005\u103a\u1001\u102f\u1000\u102d\u102f \u1004\u103c\u1004\u103a\u1038\u1015\u101a\u103a\u101e\u1004\u1037\u103a\u101e\u100a\u103a \u101b\u103e\u102d\u1019\u101b\u103e\u102d\u1000\u102d\u102f \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037 \u101e\u102d\u101c\u102d\u102f\u1015\u102b\u101e\u100a\u103a\u104b \u1024\u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u1001\u103b\u1000\u103a\u1000\u102d\u102f\u1001\u103b\u101b\u1014\u103a\u1021\u1010\u103d\u1000\u103a\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032\u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u104f p-\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1000\u102d\u102f \u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032\u1021\u1010\u103d\u1000\u103a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101b\u1014\u103a \u101b\u103d\u1031\u1038\u1001\u103b\u101a\u103a\u1011\u102c\u1038\u101e\u1031\u102c \u1021\u101b\u1031\u1038\u1015\u102b\u101e\u100a\u1037\u103a\u1021\u1006\u1004\u1037\u103a\u1010\u1005\u103a\u1001\u102f\u1014\u103e\u1004\u1037\u103a \u1014\u103e\u102d\u102f\u1004\u103a\u1038\u101a\u103e\u1009\u103a\u1015\u102b\u101e\u100a\u103a\u104b p-value 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