{"id":396,"date":"2021-08-01T16:55:50","date_gmt":"2021-08-01T07:55:50","guid":{"rendered":"https:\/\/best-biostatistics.com\/toukei-er\/entry\/what-is-likelihood\/"},"modified":"2024-10-04T21:42:54","modified_gmt":"2024-10-04T12:42:54","slug":"what-is-likelihood","status":"publish","type":"post","link":"https:\/\/best-biostatistics.com\/toukei-er\/entry\/what-is-likelihood\/","title":{"rendered":"\u5c24\u5ea6\u3068\u306f\uff1f\u308f\u304b\u308a\u3084\u3059\u304f\u89e3\u8aac"},"content":{"rendered":"\n<p>\u8aad\u307f\u65b9\u3082\u610f\u5473\u3057\u3066\u3044\u308b\u3068\u3053\u308d\u3082\u5206\u304b\u308a\u306b\u304f\u3044\u5c24\u5ea6\uff08\u3086\u3046\u3069\uff09\u3002<\/p>\n\n\n\n<p>\u308f\u304b\u308a\u3084\u3059\u304f\u89e3\u8aac\u3002<\/p>\n\n\n\n<!--more-->\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u5c24\u5ea6\u3068\u4f3c\u3066\u3044\u308b\u78ba\u7387\u3068\u306f\u4f55\u304b\">\u5c24\u5ea6\u3068\u4f3c\u3066\u3044\u308b\u78ba\u7387\u3068\u306f\u4f55\u304b\uff1f<\/h2>\n\n\n\n<p>\u307e\u305a\u5c24\u5ea6\u306f\u78ba\u7387\u306b\u4f3c\u3066\u3044\u308b\u3082\u306e\u3060\u304c\u3001\u78ba\u7387\u3068\u306f\u9055\u3046\u3002<\/p>\n\n\n\n<p>\u307e\u305a\u78ba\u7387\u3068\u306f\u4f55\u304b\u3092\u3001\u5c24\u5ea6\u3068\u306e\u5bfe\u6bd4\u306b\u306a\u308b\u3088\u3046\u306a\u8aac\u660e\u3092\u7d39\u4ecb\u3057\u305f\u3044\u3002<\/p>\n\n\n\n<p>\u7d71\u8a08\u5b66\u3067\u8003\u3048\u308b\u5834\u5408\u3001\u4f8b\u3048\u3070\u6b63\u898f\u5206\u5e03\u3057\u3066\u3044\u308b\u30c7\u30fc\u30bf\u304c\u767a\u751f\u3059\u308b\u78ba\u7387\u3068\u3044\u3046\u3075\u3046\u306b\u8003\u3048\u308b\u3002<\/p>\n\n\n\n<p>\u3053\u306e\u5834\u5408\u3001\u6b63\u898f\u5206\u5e03\u306e\u6bcd\u6570\uff08\u30d1\u30e9\u30e1\u30fc\u30bf\uff09\u3068\u3057\u3066\u3001\u6bcd\u5e73\u5747\u3068\u6bcd\u6a19\u6e96\u504f\u5dee\uff08\u6bcd\u5206\u6563\u306e\u5e73\u65b9\u6839\uff09\u304c\u6c7a\u307e\u3063\u3066\u3044\u308b\u3002<\/p>\n\n\n\n<p>\u3053\u306e\u3068\u304d\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8003\u3048\u3066\u8a18\u8ff0\u3059\u308b\u3002\u78ba\u7387\u306f\u82f1\u8a9e\u3067Probability\u306a\u306e\u3067\u3001Pr \u3068\u66f8\u304f\u3053\u3068\u304c\u3088\u304f\u3042\u308b\u3002| \u306f\u3001\u305d\u306e\u53f3\u5074\u306e\u3082\u306e\u304c\u5f97\u3089\u308c\u3066\u3044\u308b\u3068\u304d\u3068\u3044\u3046\u6761\u4ef6\u3092\u8868\u3057\u3066\u3044\u308b\u3002<\/p>\n\n\n\n<p>$$ Pr (\u30c7\u30fc\u30bf | \u6bcd\u5e73\u5747, \u6bcd\u6a19\u6e96\u504f\u5dee) $$<\/p>\n\n\n\n\n\n\n\n<p>\u3064\u307e\u308a\u3001\u30d1\u30e9\u30e1\u30fc\u30bf\u304c\u6c7a\u307e\u3063\u3066\u3044\u308b\u3046\u3048\u3067\u306e\u30c7\u30fc\u30bf\u304c\u767a\u751f\u3059\u308b\u78ba\u7387\u3068\u3044\u3046\u8a18\u8ff0\u3001\u8a00\u3044\u65b9\u3001\u8003\u3048\u65b9\u306b\u306a\u308b\u3002<\/p>\n\n\n\n<p>\u4f8b\u3048\u3070\u3001\u504f\u5dee\u5024\u306f\u3001\u5e73\u5747\u304c50\u3001\u6a19\u6e96\u504f\u5dee\u304c10\u306e\u6b63\u898f\u5206\u5e03\u3067\u3042\u308b\u304c\u3001\u3053\u306e\u3068\u304d\u504f\u5dee\u502470\u4ee5\u4e0a\u306b\u306a\u308b\u78ba\u7387\u306f\u3001\u6bcd\u5e73\u5747\u304c50\u3001\u6bcd\u6a19\u6e96\u504f\u5dee\u304c10\u3068\u307f\u306a\u3057\u305f\u3068\u304d\u306e\u6b63\u898f\u5206\u5e03\u4e0a\u306e\u78ba\u7387\u3068\u3044\u3046\u5f62\u3067\u8a08\u7b97\u3059\u308b\u3002\u7b54\u3048\u306f0.023\uff1d2.3%\u3067\u3042\u308b\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code><span class=\"synStatement\">&gt;<\/span> <span class=\"synIdentifier\">pnorm<\/span><span class=\"synSpecial\">(<\/span>q<span class=\"synStatement\">=<\/span><span class=\"synConstant\">70<\/span><span class=\"synSpecial\">,<\/span> mean<span class=\"synStatement\">=<\/span><span class=\"synConstant\">50<\/span><span class=\"synSpecial\">,<\/span> sd<span class=\"synStatement\">=<\/span><span class=\"synConstant\">10<\/span><span class=\"synSpecial\">,<\/span> lower.tail<span class=\"synStatement\">=<\/span><span class=\"synConstant\">FALSE<\/span><span class=\"synSpecial\">)<\/span>\n<span class=\"synSpecial\">&#91;<\/span><span class=\"synConstant\">1<\/span><span class=\"synSpecial\">]<\/span> <span class=\"synConstant\">0.02275013<\/span>\n<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u5c24\u5ea6\u3092\u78ba\u7387\u3068\u5bfe\u6bd4\u3059\u308b\u3068\u3069\u3046\u306a\u308b\u304b\">\u5c24\u5ea6\u3092\u78ba\u7387\u3068\u5bfe\u6bd4\u3059\u308b\u3068\u3069\u3046\u306a\u308b\u304b\uff1f<\/h2>\n\n\n\n<p>\u5c24\u5ea6\u306f\u78ba\u7387\u3068\u9006\u306e\u767a\u60f3\u3068\u8a00\u3048\u308b\u3002<\/p>\n\n\n\n<p>\u5c24\u5ea6\u306f\u3001\u307e\u305a\u53d6\u5f97\u3057\u305f\u30c7\u30fc\u30bf\u304b\u3089\u7269\u4e8b\u3092\u8003\u3048\u59cb\u3081\u308b\u3002<\/p>\n\n\n\n<p>\u3042\u308b\u30c7\u30fc\u30bf\u304c\u5f97\u3089\u308c\u305f\u3068\u304d\u306b\u3001\u3069\u3093\u306a\u6bcd\u6570\u3067\u3042\u308b\u3068\u3001\u3053\u306e\u30c7\u30fc\u30bf\u304c\u5c24\u3082\u3089\u3057\u3044\uff08\u3082\u3063\u3068\u3082\u3089\u3057\u3044\uff09\u3060\u308d\u3046\u304b\u3068\u3044\u3046\u5ea6\u5408\u3044\u304c\u5c24\u5ea6\u3067\u3042\u308b\u3002<\/p>\n\n\n\n<p>\u5c24\u5ea6\u306f\u82f1\u8a9e\u3067\u306fLikelihood\u3068\u8a00\u308f\u308c\u308b\u306e\u3067\u3001L \u3068\u66f8\u304f\u3053\u3068\u304c\u3088\u304f\u3042\u308b\u3002\u78ba\u7387\u306e\u6642\u3068\u540c\u3058\u304f\u6b63\u898f\u5206\u5e03\u3067\u3042\u308b\u3053\u3068\u3092\u60f3\u5b9a\u3059\u308b\u3068\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8a18\u8ff0\u3067\u304d\u308b\u3002<\/p>\n\n\n\n<p>$$ L (\u6bcd\u5e73\u5747, \u6bcd\u6a19\u6e96\u504f\u5dee | \u30c7\u30fc\u30bf) $$<\/p>\n\n\n\n\n\n\n\n<p>\u3064\u307e\u308a\u3001\u30c7\u30fc\u30bf\u304c\u5f97\u3089\u308c\u305f\u3046\u3048\u3067\u3001\u3042\u308b\u6bcd\u5e73\u5747\u3084\u6bcd\u6a19\u6e96\u504f\u5dee\u3068\u3059\u308b\u3068\u3001\u3053\u306e\u304f\u3089\u3044\u5c24\u3082\u3089\u3057\u3044\u3068\u3044\u3046\u8a18\u8ff0\u3001\u8a00\u3044\u65b9\u3001\u8003\u3048\u65b9\u306b\u306a\u308b\u3002<\/p>\n\n\n\n<div id=\"biost-1328465921\" class=\"biost- biost-entity-placement\"><p style=\"text-align: center;\"><span style=\"font-size: 20px;\"><strong><a href=\"https:\/\/best-biostatistics.com\/kmhl\">\uff1e\uff1e\u3082\u3046\u7d71\u8a08\u3067\u60a9\u3080\u306e\u306f\u7d42\u308f\u308a\u306b\u3057\u307e\u305b\u3093\u304b\uff1f\u00a0<\/a><\/strong><\/span><\/p>\r\n<a href=\"https:\/\/best-biostatistics.com\/kmhl\"><img class=\"aligncenter wp-image-2794 size-full\" src=\"https:\/\/best-biostatistics.com\/wp\/wp-content\/uploads\/2023\/11\/bn_r_03.png\" alt=\"\" width=\"500\" height=\"327\" \/><\/a>\r\n<p style=\"text-align: center;\"><span style=\"color: #ff0000; font-size: 20px;\"><strong><span class=\"marker2\">\u21911\u4e07\u4eba\u4ee5\u4e0a\u306e\u533b\u7642\u5f93\u4e8b\u8005\u304c\u8cfc\u8aad\u4e2d<\/span><\/strong><\/span><\/p><\/div><h2 class=\"wp-block-heading\" id=\"\u5c24\u5ea6\u306f\u3069\u3093\u306a\u3053\u3068\u306b\u5f79\u7acb\u3064\u306e\u304b\">\u5c24\u5ea6\u306f\u3069\u3093\u306a\u3053\u3068\u306b\u5f79\u7acb\u3064\u306e\u304b\uff1f<\/h2>\n\n\n\n<p>\u5c24\u5ea6\u306f\u3069\u3093\u306a\u3053\u3068\u306b\u5f79\u306b\u7acb\u3064\u306e\u3060\u308d\u3046\u304b\uff1f<\/p>\n\n\n\n<p>\u5c24\u5ea6\u306f\u30c7\u30fc\u30bf\u306e\u5c24\u3082\u3089\u3057\u3055\u306a\u306e\u3067\u3001\u5c24\u3082\u3089\u3057\u3055\u3092\u6700\u5927\u5316\u3059\u308b\u3053\u3068\u304c\u6c42\u3081\u3089\u308c\u308b\u306e\u306f\u60f3\u50cf\u3057\u3084\u3059\u3044\u3002<\/p>\n\n\n\n<p>\u5c24\u5ea6\u3092\u6700\u5927\u306b\u3059\u308b\u30d1\u30e9\u30e1\u30fc\u30bf\u3092\u63a2\u3059\u65b9\u6cd5\u3092\u3001\u6700\u5c24\uff08\u3055\u3044\u3086\u3046\uff09\u63a8\u5b9a\u6cd5\u3068\u3044\u3044\u3001\u6700\u5c24\u63a8\u5b9a\u6cd5\u3067\u6c42\u3081\u3089\u308c\u305f\u63a8\u5b9a\u5024\u3092\u6700\u5c24\u63a8\u5b9a\u91cf\u3068\u8a00\u3046\u3002<\/p>\n\n\n\n<p>\u6700\u5c24\u63a8\u5b9a\u6cd5\u3067\u306f\u3001\u5bfe\u6570\u5c24\u5ea6\uff08log likelihood, ln L \u307e\u305f\u306f\u5358\u306b l\uff08\u5c0f\u6587\u5b57\u306e\u30a8\u30eb\uff09\uff09\u3092\u4f7f\u3046\u3053\u3068\u304c\u591a\u3044\u3002\u5bfe\u6570\u3092\u3068\u308b\u3068\u8a08\u7b97\u304c\u3057\u3084\u3059\u304f\u306a\u308b\u304b\u3089\u3060\u3002<\/p>\n\n\n\n<p>\u5c24\u5ea6\u306f\u30c7\u30fc\u30bf\uff11\u304c\u5f97\u3089\u308c\u305f\u3068\u304d\u306e\u5c24\u5ea6\u3001\u30c7\u30fc\u30bf\uff12\u304c\u5f97\u3089\u308c\u305f\u6642\u306e\u5c24\u5ea6\u30fb\u30fb\u30fb\u3068\u3059\u3079\u3066\u306e\u30c7\u30fc\u30bf\u306b\u304a\u3051\u308b\u5c24\u5ea6\u3092\u639b\u3051\u7b97\u3057\u3066\u8a08\u7b97\u3057\u3066\u3044\u308b\u3002\u305d\u306e\u639b\u3051\u7b97\u3092\u8db3\u3057\u7b97\u306b\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u306e\u304c\u5bfe\u6570\u5909\u63db\u3067\u3042\u308b\u3002<\/p>\n\n\n\n<p>\u5bfe\u6570\u5909\u63db\u3057\u305f\u5c24\u5ea6\u3092\u3001\u30d1\u30e9\u30e1\u30fc\u30bf\u3054\u3068\u306b\u5bfe\u3057\u3066\u504f\u5fae\u5206\u3057\u3001\u305d\u306e\u95a2\u6570\u304c\u30bc\u30ed\u306b\u306a\u308b\u70b9\u304c\u3001\u307e\u3055\u306b\u5c24\u5ea6\u304c\u6700\u5927\u3068\u306a\u308b\u70b9\u3067\u3042\u308a\u3001\u305d\u306e\u6642\u306e\u30d1\u30e9\u30e1\u30fc\u30bf\u304c\u6c42\u3081\u308b\u63a8\u5b9a\u5024\u3067\u3042\u308b\u3002<\/p>\n\n\n\n<p>\u3053\u306e\u3088\u3046\u306b\u5206\u5e03\u3084\u30e2\u30c7\u30eb\u306e\u30d1\u30e9\u30e1\u30fc\u30bf\u3092\u63a8\u5b9a\u3059\u308b\u3053\u3068\u306b\u4f7f\u3063\u3066\u3044\u308b\u4fbf\u5229\u306a\u8003\u3048\u65b9\u306a\u306e\u3067\u3042\u308b\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u307e\u3068\u3081\">\u307e\u3068\u3081<\/h2>\n\n\n\n<p>\u5c24\u5ea6\u3068\u306f\u4f55\u304b\u3092\u78ba\u7387\u3068\u306e\u5bfe\u6bd4\u3067\u7d39\u4ecb\u3057\u3001\u3069\u3093\u306a\u3053\u3068\u306b\u5f79\u7acb\u3063\u3066\u3044\u308b\u304b\u3092\u8aac\u660e\u3057\u305f\u3002\u5c24\u5ea6\u306e\u7406\u89e3\u304c\u5c11\u3057\u3067\u3082\u9032\u3081\u3070\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u53c2\u8003\u8cc7\u6599\">\u53c2\u8003\u52d5\u753b\u30fb\u53c2\u8003\u30b9\u30e9\u30a4\u30c9<\/h2>\n\n\n\n<p>\u82f1\u8a9e\u3067\u306f\u3042\u308b\u304c\u3068\u3066\u3082\u308f\u304b\u308a\u3084\u3059\u3044\u52d5\u753b\u304c\u3042\u308b\u3002\u53c2\u8003\u307e\u3067\u3002<\/p>\n\n\n\n<p><iframe width=\"560\" height=\"315\" src=\"https:\/\/www.youtube.com\/embed\/pYxNSUDSFH4?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen=\"allowfullscreen\" title=\"Probability is not Likelihood. Find out why!!!\"><\/iframe><cite class=\"hatena-citation\"><a href=\"https:\/\/youtu.be\/pYxNSUDSFH4\">youtu.be<\/a><\/cite><\/p>\n\n\n\n<p><iframe width=\"560\" height=\"315\" src=\"https:\/\/www.youtube.com\/embed\/Dn6b9fCIUpM?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen=\"allowfullscreen\" title=\"Maximum Likelihood For the Normal Distribution, step-by-step!!!\"><\/iframe><cite class=\"hatena-citation\"><a href=\"https:\/\/youtu.be\/Dn6b9fCIUpM\">youtu.be<\/a><\/cite><\/p>\n\n\n\n<p><iframe width=\"560\" height=\"315\" src=\"https:\/\/www.youtube.com\/embed\/XepXtl9YKwc?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen=\"allowfullscreen\" title=\"Maximum Likelihood, clearly explained!!!\"><\/iframe><cite class=\"hatena-citation\"><a href=\"https:\/\/youtu.be\/XepXtl9YKwc\">youtu.be<\/a><\/cite><\/p>\n\n\n\n<p>\u6700\u5c24\u63a8\u5b9a\u91cf\u3084\u5c24\u5ea6\u306b\u3064\u3044\u3066\u3001\u65e5\u672c\u8a9e\u3067\u7c21\u6f54\u306b\u8aac\u660e\u3057\u3066\u3044\u308b\u30b9\u30e9\u30a4\u30c9\u3082\u53c2\u8003\u306b\u3057\u305f\u3002\u30b9\u30e9\u30a4\u30c97\u679a\u76ee\u304b\u3089\u3002<\/p>\n\n\n\n<p><a href=\"http:\/\/matuisi.main.jp\/wp-content\/uploads\/2013\/05\/AIC.pdf\">http:\/\/matuisi.main.jp\/wp-content\/uploads\/2013\/05\/AIC.pdf<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u8aad\u307f\u65b9\u3082\u610f\u5473\u3057\u3066\u3044\u308b\u3068\u3053\u308d\u3082\u5206\u304b\u308a\u306b\u304f\u3044\u5c24\u5ea6\uff08\u3086\u3046\u3069\uff09\u3002 \u308f\u304b\u308a\u3084\u3059\u304f\u89e3\u8aac\u3002<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"swell_btn_cv_data":"","_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":false,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[25],"tags":[],"class_list":["post-396","post","type-post","status-publish","format-standard","hentry","category-25"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/posts\/396","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/comments?post=396"}],"version-history":[{"count":2,"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/posts\/396\/revisions"}],"predecessor-version":[{"id":2304,"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/posts\/396\/revisions\/2304"}],"wp:attachment":[{"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/media?parent=396"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/categories?post=396"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/tags?post=396"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}