{"id":541,"date":"2018-07-14T22:40:08","date_gmt":"2018-07-14T13:40:08","guid":{"rendered":"https:\/\/best-biostatistics.com\/toukei-er\/entry\/how-to-estimate-standard-error-from-confidence-interval\/"},"modified":"2025-07-15T22:57:14","modified_gmt":"2025-07-15T13:57:14","slug":"how-to-estimate-standard-error-from-confidence-interval","status":"publish","type":"post","link":"https:\/\/best-biostatistics.com\/toukei-er\/entry\/how-to-estimate-standard-error-from-confidence-interval\/","title":{"rendered":"\u30e1\u30bf\u30a2\u30ca\u30ea\u30b7\u30b9\u306e\u305f\u3081\u306b\u4fe1\u983c\u533a\u9593\u304b\u3089\u6a19\u6e96\u8aa4\u5dee\u3092\u9006\u7b97\u3059\u308b\u65b9\u6cd5"},"content":{"rendered":"\n<p>\u30e1\u30bf\u30a2\u30ca\u30ea\u30b7\u30b9\u3092\u3057\u305f\u3044\u5834\u5408\u3001\u7d71\u5408\u3059\u308b\u70b9\u63a8\u5b9a\u5024\u3068\u6a19\u6e96\u8aa4\u5dee\u304c\u5fc5\u8981\u306b\u306a\u308b\u3002<\/p>\n\n\n\n<p>\u66dd\u9732\u6709\u308a\u7121\u3057\u3068\u75be\u60a3\u3042\u308a\u306a\u3057\u304c\u751f\u30c7\u30fc\u30bf\u3068\u3057\u3066\u5165\u624b\u3067\u304d\u308b\u5834\u5408\u306f\u554f\u984c\u306a\u3044\u304c\u3001\u591a\u5909\u91cf\u8abf\u6574\u306e\u3042\u3068\u306e\u70b9\u63a8\u5b9a\u5024\u306895%\u4fe1\u983c\u533a\u9593\u3057\u304b\u306a\u3044\u5834\u5408\u306f\u591a\u3044\u3002<\/p>\n\n\n\n<p>\u70b9\u63a8\u5b9a\u5024\uff0b95%\u4fe1\u983c\u533a\u9593\u3057\u304b\u624b\u306b\u5165\u3089\u306a\u3044\u5834\u5408\u3001\u3069\u3046\u3084\u3063\u3066\u6a19\u6e96\u8aa4\u5dee\u3092\u63a8\u5b9a\u3059\u308b\u304b\u3002<\/p>\n\n\n\n<!--more-->\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u4fe1\u983c\u533a\u9593\u306f\u3069\u306e\u3088\u3046\u306b\u8a08\u7b97\u3055\u308c\u3066\u3044\u308b\u304b\">\u4fe1\u983c\u533a\u9593\u306f\u3069\u306e\u3088\u3046\u306b\u8a08\u7b97\u3055\u308c\u3066\u3044\u308b\u304b\uff1f<\/h2>\n\n\n\n<p>95%\u4fe1\u983c\u533a\u9593\u304c\u3069\u306e\u3088\u3046\u306b\u69cb\u6210\u3055\u308c\u3066\u3044\u308b\u304b\u3092\u8003\u3048\u308c\u3070\u3044\u3044\u3002<\/p>\n\n\n\n<p>95%\u4fe1\u983c\u533a\u9593\u306e\u69cb\u6210\u304b\u3089\u9006\u7b97\u3059\u308c\u3070\u6a19\u6e96\u8aa4\u5dee\u304c\u6c42\u307e\u308b\u3002<\/p>\n\n\n\n<p>95%\u4fe1\u983c\u533a\u9593\u306f\u3001<\/p>\n\n\n\n<p>$$ \u63a8\u5b9a\u5024 \\pm 1.96 \\times \u6a19\u6e96\u8aa4\u5dee $$<\/p>\n\n\n\n\n\n\n\n<p>\u3067\u8a08\u7b97\u3055\u308c\u3066\u3044\u308b\u3002<\/p>\n\n\n\n<p>1.96\u306f\u3001\u6a19\u6e96\u6b63\u898f\u5206\u5e03\u306b\u304a\u3044\u306695%\u3092\u8868\u3059\u30af\u30a9\u30f3\u30bf\u30a4\u30eb\u3060\u3002<\/p>\n\n\n<div class=\"swell-block-postLink\">\t\t\t<div class=\"p-blogCard -internal\" data-type=\"type1\" data-onclick=\"clickLink\">\n\t\t\t\t<div class=\"p-blogCard__inner\">\n\t\t\t\t\t<span class=\"p-blogCard__caption\">\u3042\u308f\u305b\u3066\u8aad\u307f\u305f\u3044<\/span>\n\t\t\t\t\t<div class=\"p-blogCard__thumb c-postThumb\"><figure class=\"c-postThumb__figure\"><img decoding=\"async\" src=\"https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2024\/08\/1920x1080-video-Excel-300x169.jpg\" alt=\"\" class=\"c-postThumb__img u-obf-cover\" width=\"320\" height=\"180\"><\/figure><\/div>\t\t\t\t\t<div class=\"p-blogCard__body\">\n\t\t\t\t\t\t<a class=\"p-blogCard__title\" href=\"https:\/\/best-biostatistics.com\/toukei-er\/entry\/percentile-and-quantile-at-standard-normal-distribution\/\">R \u3067\u6b63\u898f\u5206\u5e03\u306e\u30d1\u30fc\u30bb\u30f3\u30bf\u30a4\u30eb\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5<\/a>\n\t\t\t\t\t\t<span class=\"p-blogCard__excerpt\">\u5e73\u574770\u70b9\u3001\u6a19\u6e96\u504f\u5dee15\u70b9\u306e\u30c6\u30b9\u30c8\u306e\u5834\u5408\u300190\u70b9\u4ee5\u4e0a\u306e\u5b66\u751f\u306f\u4e0a\u4f4d\u4f55\u30d1\u30fc\u30bb\u30f3\u30c8\u306b\u5f53\u305f\u308b\u304b\uff1f \u3068\u3044\u3046\u554f\u984c\u306b\u4f7f\u3046\u30d1\u30fc\u30bb\u30f3\u30bf\u30a4\u30eb percentile \u3068\u30af\u30a9\u30f3\u30bf\u30a4\u30eb quantile\u3002 \u305d\u308c\u305e&#8230;<\/span>\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/div>\n\n\n<p>\u7d71\u5408\u3059\u308b\u306e\u306f\u3001\u30aa\u30c3\u30ba\u6bd4\u3084\u30cf\u30b6\u30fc\u30c9\u6bd4\u306e\u3053\u3068\u304c\u591a\u3044\u3002<\/p>\n\n\n\n<p>\u30aa\u30c3\u30ba\u6bd4\u3082\u3057\u304f\u306f\u30cf\u30b6\u30fc\u30c9\u6bd4\u3092R\u3001\u6a19\u6e96\u8aa4\u5dee\u3092SE\u3068\u3059\u308b\u3068\u3001<\/p>\n\n\n\n<p>95%\u4fe1\u983c\u533a\u9593\u306f\u3001<\/p>\n\n\n\n<p>$$ \\exp(\\log(R) \\pm 1.96 SE) $$<\/p>\n\n\n\n\n\n\n\n<p>\u3067\u8a08\u7b97\u3055\u308c\u3066\u3044\u308b\u3002<\/p>\n\n\n\n<p>t \u5206\u5e03\u3067\u63a8\u5b9a\u3057\u3066\u3044\u308b\u5834\u5408\u306f\u3001t \u5206\u5e03\u306e\u30af\u30a9\u30f3\u30bf\u30a4\u30eb\u3092\u4f7f\u3046\u5fc5\u8981\u304c\u3042\u308b\u3002<\/p>\n\n\n\n<p>\u305d\u306e\u5834\u5408\u306f\u30011.96 \u3088\u308a\u3082\u5c11\u3057\u5927\u304d\u304f\u306a\u308b\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u4fe1\u983c\u533a\u9593\u304b\u3089\u6a19\u6e96\u8aa4\u5dee\u3092\u8a08\u7b97\u3059\u308b\u306b\u306f\u3069\u3046\u3059\u308c\u3070\u3044\u3044\u304b\">\u4fe1\u983c\u533a\u9593\u304b\u3089\u6a19\u6e96\u8aa4\u5dee\u3092\u8a08\u7b97\u3059\u308b\u306b\u306f\u3069\u3046\u3059\u308c\u3070\u3044\u3044\u304b\uff1f<\/h2>\n\n\n\n<p>95%\u4fe1\u983c\u533a\u9593\u306e\u4e0a\u9650\u3092UL\u3001\u4e0b\u9650\u3092LL\u3068\u3059\u308b\u3068\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u6a19\u6e96\u8aa4\u5dee\u304c\u8a08\u7b97\u3067\u304d\u308b\u3002<\/p>\n\n\n\n<p>\\begin{array}{lcl} \\displaystyle<br>\\displaystyle \\frac{\\log(UL) &#8211; \\log(LL)}{2 \\times 1.96} \\\\<br>\\displaystyle = \\frac{(\\log(R) + 1.96 SE) &#8211; (\\log(R) &#8211; 1.96 SE)}{2 \\times 1.96} \\\\<br>\\displaystyle = \\frac{2 \\times 1.96 SE}{2 \\times 1.96} \\\\<br>= SE<br>\\end{array}<\/p>\n\n\n\n\n\n\n\n<p>\u4f8b\u3048\u3070\u3001\u30cf\u30b6\u30fc\u30c9\u6bd4\u304c2.1\u300195%\u4fe1\u983c\u533a\u9593\u304c1.6\u304b\u30892.7\u3060\u3068\u3059\u308b\u3068\u3001\u6a19\u6e96\u8aa4\u5dee\u306f<\/p>\n\n\n\n<p>\\begin{array}{lcl} \\displaystyle<br>\\frac{\\log(2.7) &#8211; \\log(1.6)}{2 \\times 1.96} \\\\<br>\\displaystyle = \\frac{0.9932518 &#8211; 0.4700036}{2 \\times 1.96} \\\\<br>= 0.1334817<br>\\end{array}<\/p>\n\n\n\n<p>\u3068\u8a08\u7b97\u3055\u308c\u308b\u3002<\/p>\n\n\n\n<div id=\"biost-2949735505\" 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=\"\u307e\u3068\u3081\">\u307e\u3068\u3081<\/h2>\n\n\n\n<p>\u6a19\u6e96\u8aa4\u5dee\u3092\u591a\u5909\u91cf\u8abf\u6574\u6e08\u307f\u76f8\u5bfe\u30ea\u30b9\u30af\u306e95%\u4fe1\u983c\u533a\u9593\u304b\u3089\u6c42\u3081\u308c\u3070\u3001\u89b3\u5bdf\u578b\u7814\u7a76\u306e\u5834\u5408\u3067\u3082\u3001\u4ea4\u7d61\u306e\u5f71\u97ff\u3092\u9069\u5207\u306b\u30b3\u30f3\u30c8\u30ed\u30fc\u30eb\u3057\u305f\u63a8\u5b9a\u5024\u306e\u7d71\u5408\u304c\u53ef\u80fd\u306b\u306a\u308b\u3002<\/p>\n\n\n\n<p>\u89b3\u5bdf\u578b\u7814\u7a76\u306e\u7d50\u679c\u3092\u7d71\u5408\u3057\u305f\u3044\u5834\u5408\u306f\u3001\u591a\u5909\u91cf\u8abf\u6574\u6e08\u307f\u306e\u63a8\u5b9a\u5024\u304b\u3089\u3001\u6a19\u6e96\u8aa4\u5dee\u3092\u9006\u7b97\u3059\u308b\u65b9\u6cd5\u3092\u4f7f\u3046\u306e\u304c\u3088\u3044\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u30cf\u30b6\u30fc\u30c9\u6bd4\u3084\u30aa\u30c3\u30ba\u6bd4\u306a\u3069\u76f8\u5bfe\u30ea\u30b9\u30af\u306e\u6a19\u6e96\u8aa4\u5dee\u3092\u4fe1\u983c\u533a\u9593\u304b\u3089\u9006\u7b97\u3059\u308b\u30a8\u30af\u30bb\u30eb\u8a08\u7b97\u6a5f\">\u30cf\u30b6\u30fc\u30c9\u6bd4\u3084\u30aa\u30c3\u30ba\u6bd4\u306a\u3069\u76f8\u5bfe\u30ea\u30b9\u30af\u306e\u6a19\u6e96\u8aa4\u5dee\u3092\u4fe1\u983c\u533a\u9593\u304b\u3089\u9006\u7b97\u3059\u308b\u3010\u30a8\u30af\u30bb\u30eb\u8a08\u7b97\u6a5f\u3011<\/h2>\n\n\n\n<p>\u30a8\u30af\u30bb\u30eb\u30d5\u30a1\u30a4\u30eb\u3092\u4f5c\u6210\u3057\u305f\u3002<\/p>\n\n\n\n<p>\u3088\u3051\u308c\u3070\u3069\u3046\u305e\u3002<\/p>\n\n\n\n<p><a href=\"https:\/\/happyhappygk.base.ec\/items\/34161607\">\u30cf\u30b6\u30fc\u30c9\u6bd4\u3084\u30aa\u30c3\u30ba\u6bd4\u306a\u3069\u76f8\u5bfe\u30ea\u30b9\u30af\u306e\u6a19\u6e96\u8aa4\u5dee\u3092\u4fe1\u983c\u533a\u9593\u304b\u3089\u9006\u7b97\u3059\u308b\u3010\u30a8\u30af\u30bb\u30eb\u8a08\u7b97\u6a5f\u3011 | TKER SHOP<\/a><\/p>\n\n\n\n<p>\u4f7f\u3044\u65b9\u89e3\u8aac\u52d5\u753b\u3002<\/p>\n\n\n\n<p>\u3053\u3061\u3089\u3082\u3088\u3051\u308c\u3070\u3069\u3046\u305e\u3002<\/p>\n\n\n\n<p><iframe width=\"560\" height=\"315\" src=\"https:\/\/www.youtube.com\/embed\/Ku4H04Lm8PU?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=\"\u30cf\u30b6\u30fc\u30c9\u6bd4\u3084\u30aa\u30c3\u30ba\u6bd4\u306a\u3069\u76f8\u5bfe\u30ea\u30b9\u30af\u306e\u6a19\u6e96\u8aa4\u5dee\u3092\u4fe1\u983c\u533a\u9593\u304b\u3089\u9006\u7b97\u3059\u308b\u3010\u30a8\u30af\u30bb\u30eb\u8a08\u7b97\u6a5f\u3011\"><\/iframe><cite class=\"hatena-citation\"><a href=\"https:\/\/youtu.be\/Ku4H04Lm8PU\">youtu.be<\/a><\/cite><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u304a\u3059\u3059\u3081\u66f8\u7c4d\">\u304a\u3059\u3059\u3081\u66f8\u7c4d<\/h2>\n\n\n\n<p><a href=\"https:\/\/amzn.to\/4nKOjMV\">\u65b0\u7248 \u30e1\u30bf\u30fb\u30a2\u30ca\u30ea\u30b7\u30b9\u5165\u9580 \u2500\u30a8\u30d3\u30c7\u30f3\u30b9\u306e\u7d71\u5408\u3092\u3081\u3056\u3059\u7d71\u8a08\u624b\u6cd5\u2500 (\u533b\u5b66\u7d71\u8a08\u5b66\u30b7\u30ea\u30fc\u30ba)<\/a><\/p>\n\n\n\n\n","protected":false},"excerpt":{"rendered":"<p>\u30e1\u30bf\u30a2\u30ca\u30ea\u30b7\u30b9\u3092\u3057\u305f\u3044\u5834\u5408\u3001\u7d71\u5408\u3059\u308b\u70b9\u63a8\u5b9a\u5024\u3068\u6a19\u6e96\u8aa4\u5dee\u304c\u5fc5\u8981\u306b\u306a\u308b\u3002 \u66dd\u9732\u6709\u308a\u7121\u3057\u3068\u75be\u60a3\u3042\u308a\u306a\u3057\u304c\u751f\u30c7\u30fc\u30bf\u3068\u3057\u3066\u5165\u624b\u3067\u304d\u308b\u5834\u5408\u306f\u554f\u984c\u306a\u3044\u304c\u3001\u591a\u5909\u91cf\u8abf\u6574\u306e\u3042\u3068\u306e\u70b9\u63a8\u5b9a\u5024\u306895%\u4fe1\u983c\u533a\u9593\u3057\u304b\u306a\u3044\u5834\u5408\u306f\u591a\u3044\u3002 \u70b9\u63a8\u5b9a\u5024\uff0b95% [&hellip;]<\/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":[30,46,9],"tags":[],"class_list":["post-541","post","type-post","status-publish","format-standard","hentry","category-30","category-46","category-9"],"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\/541","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=541"}],"version-history":[{"count":7,"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/posts\/541\/revisions"}],"predecessor-version":[{"id":4251,"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/posts\/541\/revisions\/4251"}],"wp:attachment":[{"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/media?parent=541"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/categories?post=541"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/tags?post=541"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}