{"id":4147,"date":"2023-07-13T06:17:20","date_gmt":"2023-07-13T06:17:20","guid":{"rendered":"https:\/\/statorials.org\/ja\/r-%e3%81%ae%e5%9b%9e%e5%b8%b0%e7%9b%b4%e7%b7%9a%e3%81%ae%e5%82%be%e3%81%8d%e3%82%92-t-%e6%a4%9c%e5%ae%9a%e3%81%99%e3%82%8b\/"},"modified":"2023-07-13T06:17:20","modified_gmt":"2023-07-13T06:17:20","slug":"r-%e3%81%ae%e5%9b%9e%e5%b8%b0%e7%9b%b4%e7%b7%9a%e3%81%ae%e5%82%be%e3%81%8d%e3%82%92-t-%e6%a4%9c%e5%ae%9a%e3%81%99%e3%82%8b","status":"publish","type":"post","link":"https:\/\/statorials.org\/ja\/r-%e3%81%ae%e5%9b%9e%e5%b8%b0%e7%9b%b4%e7%b7%9a%e3%81%ae%e5%82%be%e3%81%8d%e3%82%92-t-%e6%a4%9c%e5%ae%9a%e3%81%99%e3%82%8b\/","title":{"rendered":"R \u306e\u56de\u5e30\u76f4\u7dda\u306e\u50be\u304d\u306b\u3064\u3044\u3066 t \u691c\u5b9a\u3092\u5b9f\u884c\u3059\u308b\u65b9\u6cd5"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/ja\/\u7dda\u5f62\u56de\u5e30-1\/\" target=\"_blank\" rel=\"noopener\">\u5358\u7d14\u306a\u7dda\u5f62\u56de\u5e30<\/a>\u3092\u5b9f\u884c\u3059\u308b\u3068\u3001\u6b21\u306e\u63a8\u5b9a\u56de\u5e30\u5f0f\u304c\u5f97\u3089\u308c\u307e\u3059\u3002<\/span><\/p>\n<p> <strong><span style=\"color: #000000;\">\u0177 = b <sub>0<\/sub> + b <sub>1<\/sub> x<\/span><\/strong><\/p>\n<p><span style=\"color: #000000;\">\u4e00\u822c\u306b\u3001\u50be\u304d\u4fc2\u6570 b <sub>1<\/sub>\u304c\u7d71\u8a08\u7684\u306b\u6709\u610f\u304b\u3069\u3046\u304b\u3092\u77e5\u308a\u305f\u3044\u3068\u8003\u3048\u307e\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\">b <sub>1<\/sub>\u304c\u7d71\u8a08\u7684\u306b\u6709\u610f\u304b\u3069\u3046\u304b\u3092\u5224\u65ad\u3059\u308b\u306b\u306f\u3001\u6b21\u306e\u691c\u5b9a\u7d71\u8a08\u91cf\u3092\u4f7f\u7528\u3057\u3066 t \u691c\u5b9a\u3092\u5b9f\u884c\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<p> <strong><span style=\"color: #000000;\">t = b <sub>1<\/sub> \/ se(b <sub>1<\/sub> )<\/span><\/strong><\/p>\n<p><span style=\"color: #000000;\">\u91d1\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>se(b <sub>1<\/sub> )\u306f<\/strong>b <sub>1<\/sub>\u306e\u6a19\u6e96\u8aa4\u5dee\u3092\u8868\u3057\u307e\u3059\u3002<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u6b21\u306b\u3001\u3053\u306e\u691c\u5b9a\u7d71\u8a08\u91cf\u306b\u5bfe\u5fdc\u3059\u308b<a href=\"https:\/\/statorials.org\/ja\/p-\u5024\u306e\u7d71\u8a08\u7684\u6709\u610f\u6027\/\" target=\"_blank\" rel=\"noopener\">p \u5024\u3092<\/a>n-2 \u81ea\u7531\u5ea6\u3067\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\">p \u5024\u304c\u7279\u5b9a\u306e\u3057\u304d\u3044\u5024 (\u4f8b: \u03b1 = 0.05) \u3088\u308a\u5c0f\u3055\u3044\u5834\u5408\u3001\u50be\u304d\u4fc2\u6570\u306f\u30bc\u30ed\u3067\u306f\u306a\u3044\u3068\u7d50\u8ad6\u4ed8\u3051\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u8a00\u3044\u63db\u3048\u308c\u3070\u3001\u30e2\u30c7\u30eb\u5185\u306e\u4e88\u6e2c\u5909\u6570\u3068<a href=\"https:\/\/statorials.org\/ja\/\u5909\u6570\u306e\u8aac\u660e\u5fdc\u7b54\/\" target=\"_blank\" rel=\"noopener\">\u5fdc\u7b54\u5909\u6570<\/a>\u306e\u9593\u306b\u306f\u7d71\u8a08\u7684\u306b\u6709\u610f\u306a\u95a2\u4fc2\u304c\u3042\u308a\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u4f8b\u306f\u3001R \u306e\u56de\u5e30\u76f4\u7dda\u306e\u50be\u304d\u306b\u5bfe\u3057\u3066 t \u691c\u5b9a\u3092\u5b9f\u884c\u3059\u308b\u65b9\u6cd5\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002<\/span><\/p>\n<h2><span style=\"color: #000000;\"><strong>\u4f8b: R \u306e\u56de\u5e30\u76f4\u7dda\u306e\u50be\u304d\u306b\u5bfe\u3059\u308b t \u691c\u5b9a\u306e\u5b9f\u884c<\/strong><\/span><\/h2>\n<p><span style=\"color: #000000;\">R \u306b\u3001\u30af\u30e9\u30b9\u306e 12 \u4eba\u306e\u751f\u5f92\u306e\u5b66\u7fd2\u6642\u9593\u3068\u6700\u7d42\u8a66\u9a13\u306e\u5f97\u70b9\u306b\u95a2\u3059\u308b\u60c5\u5831\u3092\u542b\u3080\u6b21\u306e\u30c7\u30fc\u30bf \u30d5\u30ec\u30fc\u30e0\u304c\u3042\u308b\u3068\u3057\u307e\u3059\u3002<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create data frame\n<\/span>df &lt;- data. <span style=\"color: #3366ff;\">frame<\/span> (hours=c(1, 1, 2, 2, 3, 4, 5, 5, 5, 6, 6, 8),\n                 score=c(65, 67, 78, 75, 73, 84, 80, 76, 89, 91, 83, 82))\n\n<span style=\"color: #008080;\">#view data frame\n<\/span>df\n\n   hours score\n1 1 65\n2 1 67\n3 2 78\n4 2 75\n5 3 73\n6 4 84\n7 5 80\n8 5 76\n9 5 89\n10 6 91\n11 6 83\n12 8 82<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u5358\u7d14\u306a\u7dda\u5f62\u56de\u5e30\u30e2\u30c7\u30eb\u3092\u5f53\u3066\u306f\u3081\u3066\u3001\u5b66\u7fd2\u6642\u9593\u3068\u8a66\u9a13\u306e\u30b9\u30b3\u30a2\u306e\u9593\u306b\u7d71\u8a08\u7684\u306b\u6709\u610f\u306a\u95a2\u4fc2\u304c\u3042\u308b\u304b\u3069\u3046\u304b\u3092\u5224\u65ad\u3057\u305f\u3044\u3068\u3057\u307e\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\">R \u306e<a href=\"https:\/\/statorials.org\/ja\/r\u306elm\u95a2\u6570\/\" target=\"_blank\" rel=\"noopener\">lm()<\/a>\u95a2\u6570\u3092\u4f7f\u7528\u3057\u3066\u3001\u3053\u306e\u56de\u5e30\u30e2\u30c7\u30eb\u3092\u5f53\u3066\u306f\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#fit simple linear regression model\n<\/span>fit &lt;- lm(score ~ hours, data=df)\n\n<span style=\"color: #008080;\">#view model summary\n<\/span>summary(fit)\n\nCall:\nlm(formula = score ~ hours, data = df)\n\nResiduals:\n   Min 1Q Median 3Q Max \n-7,398 -3,926 -1,139 4,972 7,713 \n\nCoefficients:\n            Estimate Std. Error t value Pr(&gt;|t|)    \n(Intercept) 67.7685 3.3757 20.075 2.07e-09 ***\nhours 2.7037 0.7456 3.626 0.00464 ** \n---\nSignificant. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1\n\nResidual standard error: 5.479 on 10 degrees of freedom\nMultiple R-squared: 0.568, Adjusted R-squared: 0.5248 \nF-statistic: 13.15 on 1 and 10 DF, p-value: 0.004641\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u30e2\u30c7\u30eb\u306e\u7d50\u679c\u304b\u3089\u3001\u63a8\u5b9a\u3055\u308c\u305f\u56de\u5e30\u5f0f\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u8a66\u9a13\u30b9\u30b3\u30a2 = 67.7685 + 2.7037 (\u6642\u9593)<\/span><\/p>\n<p><span style=\"color: #000000;\">\u50be\u304d\u4fc2\u6570\u304c\u7d71\u8a08\u7684\u306b\u6709\u610f\u304b\u3069\u3046\u304b\u3092\u691c\u5b9a\u3059\u308b\u306b\u306f\u3001\u6b21\u306e\u3088\u3046\u306b t \u691c\u5b9a\u7d71\u8a08\u91cf\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">t = b <sub>1<\/sub> \/ se(b <sub>1<\/sub> )<\/span><\/li>\n<li> <span style=\"color: #000000;\">t = 2.7037 \/ 0.7456<\/span><\/li>\n<li> <span style=\"color: #000000;\">t = <strong>3.626<\/strong><\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u3053\u306e t \u691c\u5b9a\u7d71\u8a08\u91cf\u306b\u5bfe\u5fdc\u3059\u308b p \u5024\u306f\u3001\u51fa\u529b\u306e<strong>Pr(&gt; |t|)<\/strong>\u3068\u3044\u3046\u5217\u306b\u8868\u793a\u3055\u308c\u307e\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\">p \u5024\u306f<strong>0.00464<\/strong>\u3067\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3053\u306e p \u5024\u306f 0.05 \u672a\u6e80\u3067\u3042\u308b\u305f\u3081\u3001\u50be\u304d\u4fc2\u6570\u306f\u7d71\u8a08\u7684\u306b\u6709\u610f\u3067\u3042\u308b\u3068\u7d50\u8ad6\u4ed8\u3051\u3089\u308c\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u8a00\u3044\u63db\u3048\u308c\u3070\u3001\u5b66\u7fd2\u6642\u9593\u6570\u3068\u5b66\u751f\u304c\u8a66\u9a13\u3067\u53d7\u3051\u53d6\u3063\u305f\u6700\u7d42\u6210\u7e3e\u306e\u9593\u306b\u306f\u7d71\u8a08\u7684\u306b\u6709\u610f\u306a\u95a2\u4fc2\u304c\u3042\u308b\u3068\u3044\u3046\u3053\u3068\u3067\u3059\u3002<\/span><\/p>\n<h2><span style=\"color: #000000;\"><strong>\u8ffd\u52a0\u30ea\u30bd\u30fc\u30b9<\/strong><\/span><\/h2>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u30c1\u30e5\u30fc\u30c8\u30ea\u30a2\u30eb\u3067\u306f\u3001R \u3067\u4ed6\u306e\u4e00\u822c\u7684\u306a\u30bf\u30b9\u30af\u3092\u5b9f\u884c\u3059\u308b\u65b9\u6cd5\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/ja\/r-\u3066\u3099\u306e\u5358\u7d14\u306a\u7dda\u5f62\u56de\u5e30\/\" target=\"_blank\" rel=\"noopener\">R \u3067\u5358\u7d14\u306a\u7dda\u5f62\u56de\u5e30\u3092\u5b9f\u884c\u3059\u308b\u65b9\u6cd5<\/a><br \/><a href=\"https:\/\/statorials.org\/ja\/\u91cd\u7dda\u5f62\u56de\u5e30r\/\" target=\"_blank\" rel=\"noopener\">R \u3067\u91cd\u56de\u5e30\u3092\u5b9f\u884c\u3059\u308b\u65b9\u6cd5<\/a><br \/><a href=\"https:\/\/statorials.org\/ja\/r-\u306e\u56de\u5e30\u51fa\u529b\u3092\u89e3\u91c8\u3059\u308b\/\" target=\"_blank\" rel=\"noopener\">R \u3067\u56de\u5e30\u51fa\u529b\u3092\u89e3\u91c8\u3059\u308b\u65b9\u6cd5<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5358\u7d14\u306a\u7dda\u5f62\u56de\u5e30\u3092\u5b9f\u884c\u3059\u308b\u3068\u3001\u6b21\u306e\u63a8\u5b9a\u56de\u5e30\u5f0f\u304c\u5f97\u3089\u308c\u307e\u3059\u3002 \u0177 = b 0 + b 1 x \u4e00\u822c\u306b\u3001\u50be\u304d\u4fc2\u6570 b 1\u304c\u7d71\u8a08\u7684\u306b\u6709\u610f\u304b\u3069\u3046\u304b\u3092\u77e5\u308a\u305f\u3044\u3068\u8003\u3048\u307e\u3059\u3002 b 1\u304c\u7d71\u8a08\u7684\u306b\u6709\u610f\u304b\u3069\u3046\u304b\u3092\u5224\u65ad\u3059\u308b\u306b\u306f\u3001\u6b21\u306e\u691c\u5b9a\u7d71\u8a08\u91cf\u3092 [&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-4147","post","type-post","status-publish","format-standard","hentry","category-16"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - 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