{"id":2532,"date":"2023-07-21T20:39:52","date_gmt":"2023-07-21T20:39:52","guid":{"rendered":"https:\/\/statorials.org\/ja\/r-%e3%81%ae%e4%b8%ad%e5%bf%83%e6%a5%b5%e9%99%90%e5%ae%9a%e7%90%86\/"},"modified":"2023-07-21T20:39:52","modified_gmt":"2023-07-21T20:39:52","slug":"r-%e3%81%ae%e4%b8%ad%e5%bf%83%e6%a5%b5%e9%99%90%e5%ae%9a%e7%90%86","status":"publish","type":"post","link":"https:\/\/statorials.org\/ja\/r-%e3%81%ae%e4%b8%ad%e5%bf%83%e6%a5%b5%e9%99%90%e5%ae%9a%e7%90%86\/","title":{"rendered":"R \u3067\u4e2d\u5fc3\u6975\u9650\u5b9a\u7406\u3092\u9069\u7528\u3059\u308b\u65b9\u6cd5 (\u4f8b\u4ed8\u304d)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>\u4e2d\u5fc3\u6975\u9650\u5b9a\u7406<\/strong>\u306f\u3001\u305f\u3068\u3048\u6bcd\u96c6\u56e3\u306e<a href=\"https:\/\/statorials.org\/ja\/\u6a19\u672c\u5206\u5e03-1\/\" target=\"_blank\" rel=\"noopener\">\u5206\u5e03\u304c<\/a>\u6b63\u898f\u3067\u306a\u304f\u3066\u3082\u3001\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u304c\u5341\u5206\u306b\u5927\u304d\u3051\u308c\u3070\u6a19\u672c\u5e73\u5747\u306e\u6a19\u672c\u5206\u5e03\u306f\u307b\u307c\u6b63\u898f\u306b\u306a\u308b\u3001\u3068\u3044\u3046\u3082\u306e\u3067\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4e2d\u5fc3\u6975\u9650\u5b9a\u7406\u306f\u3001\u6a19\u672c\u5206\u5e03\u304c\u6b21\u306e\u7279\u6027\u3092\u6301\u3064\u3053\u3068\u3082\u793a\u3057\u3066\u3044\u307e\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1.<\/strong>\u6a19\u672c\u5206\u5e03\u306e\u5e73\u5747\u306f\u6bcd\u96c6\u56e3\u5206\u5e03\u306e\u5e73\u5747\u3068\u7b49\u3057\u304f\u306a\u308a\u307e\u3059\u3002<\/span><\/p>\n<p style=\"text-align: center;\"> <strong><span style=\"color: #000000;\"><span style=\"text-decoration: overline;\">x<\/span> = \u03bc<\/span><\/strong><\/p>\n<p> <span style=\"color: #000000;\"><strong>2.<\/strong>\u6a19\u672c\u5206\u5e03\u306e\u6a19\u6e96\u504f\u5dee\u306f\u3001\u6bcd\u96c6\u56e3\u5206\u5e03\u306e\u6a19\u6e96\u504f\u5dee\u3092\u6a19\u672c\u30b5\u30a4\u30ba\u3067\u5272\u3063\u305f\u3082\u306e\u306b\u7b49\u3057\u304f\u306a\u308a\u307e\u3059\u3002<\/span><\/p>\n<p style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">s = \u03c3<\/span> <span style=\"color: #000000;\">\/n<\/span><\/strong><\/p>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u4f8b\u306f\u3001R \u3067\u4e2d\u5fc3\u6975\u9650\u5b9a\u7406\u3092\u9069\u7528\u3059\u308b\u65b9\u6cd5\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u4f8b: R \u306b\u304a\u3051\u308b\u4e2d\u5fc3\u6975\u9650\u5b9a\u7406\u306e\u9069\u7528<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u30ab\u30e1\u306e\u7532\u7f85\u306e\u5e45\u304c\u6700\u5c0f\u5e45 2 \u30a4\u30f3\u30c1\u3001\u6700\u5927\u5e45 6 \u30a4\u30f3\u30c1\u306e<a href=\"https:\/\/statorials.org\/ja\/\u4e00\u69d8\u5206\u5e03\/\" target=\"_blank\" rel=\"noopener\">\u4e00\u69d8\u5206\u5e03<\/a>\u306b\u5f93\u3063\u3066\u3044\u308b\u3068\u4eee\u5b9a\u3057\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3064\u307e\u308a\u3001\u30ab\u30e1\u3092\u7121\u4f5c\u70ba\u306b\u9078\u629e\u3057\u3001\u305d\u306e\u7532\u7f85\u306e\u5e45\u3092\u6e2c\u5b9a\u3059\u308b\u3068\u3001\u5e45\u306f 2 \uff5e 6 \u30a4\u30f3\u30c1\u306b\u306a\u308b\u53ef\u80fd\u6027\u304c<em>\u9ad8\u304f\u306a\u308a<\/em>\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u30b3\u30fc\u30c9\u306f\u30012 \uff5e 6 \u30a4\u30f3\u30c1\u306b\u5747\u7b49\u306b\u5206\u5e03\u3057\u305f 1,000 \u5339\u306e\u30ab\u30e1\u306e\u7532\u7f85\u5e45\u306e\u6e2c\u5b9a\u5024\u3092\u542b\u3080\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u3092 R \u3067\u4f5c\u6210\u3059\u308b\u65b9\u6cd5\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#make this example reproducible\n<span style=\"color: #000000;\">set. <span style=\"color: #3366ff;\">seeds<\/span> (0)\n\n<span style=\"color: #008080;\">#create random variable with sample size of 1000 that is uniformly distributed\n<\/span>data &lt;- runif(n=1000, min=2, max=6)\n\n<span style=\"color: #008080;\">#create histogram to visualize distribution of turtle shell widths\n<\/span>hist(data, col=' <span style=\"color: #ff0000;\">steelblue<\/span> ', main=' <span style=\"color: #ff0000;\">Histogram of Turtle Shell Widths<\/span> ')\n<\/span><\/span><\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-22527 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/central1.jpg\" alt=\"\" width=\"386\" height=\"392\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u901a\u5e38\u3001\u30ab\u30e1\u306e\u7532\u7f85\u306e\u5e45\u306e\u5206\u5e03\u306f\u307e\u3063\u305f\u304f\u5206\u5e03\u3057\u306a\u3044\u3053\u3068\u306b\u6ce8\u610f\u3057\u3066\u304f\u3060\u3055\u3044\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3053\u3053\u3067\u3001\u3053\u306e\u6bcd\u96c6\u56e3\u304b\u3089 5 \u5339\u306e\u30ab\u30e1\u304b\u3089\u7121\u4f5c\u70ba\u306b\u30b5\u30f3\u30d7\u30eb\u3092\u7e70\u308a\u8fd4\u3057\u63a1\u53d6\u3057\u3001\u30b5\u30f3\u30d7\u30eb\u306e\u5e73\u5747\u5024\u3092\u4f55\u5ea6\u3082\u6e2c\u5b9a\u3059\u308b\u3068\u60f3\u50cf\u3057\u3066\u304f\u3060\u3055\u3044\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u30b3\u30fc\u30c9\u306f\u3001R \u3067\u3053\u306e\u30d7\u30ed\u30bb\u30b9\u3092\u5b9f\u884c\u3057\u3001\u30b5\u30f3\u30d7\u30eb\u5e73\u5747\u306e\u5206\u5e03\u3092\u8996\u899a\u5316\u3059\u308b\u30d2\u30b9\u30c8\u30b0\u30e9\u30e0\u3092\u4f5c\u6210\u3059\u308b\u65b9\u6cd5\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\"><span style=\"color: #000000;\"><span style=\"color: #008080;\">#create empty vector to hold sample means\n<\/span><\/span><span style=\"color: #000000;\">sample5 &lt;- c()\n\n<span style=\"color: #008080;\">#take 1,000 random samples of size n=5\n<\/span>n = 1000\n<span style=\"color: #008000;\">for<\/span> (i <span style=\"color: #008000;\">in<\/span> 1:n){\nsample5[i] = mean(sample(data, 5, replace= <span style=\"color: #008000;\">TRUE<\/span> ))\n}\n\n<span style=\"color: #008080;\">#calculate mean and standard deviation of sample means\n<\/span>mean(sample5)\n\n[1] 4.008103\n\nsd(sample5)\n\n[1] 0.5171083 \n\n<span style=\"color: #008080;\">#create histogram to visualize sampling distribution of sample means\n<\/span>hist(sample5, col = ' <span style=\"color: #ff0000;\">steelblue<\/span> ', xlab=' <span style=\"color: #ff0000;\">Turtle Shell Width<\/span> ', main=' <span style=\"color: #ff0000;\">Sample size = 5<\/span> ')<\/span><\/span><\/strong> <\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-22528 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/central2.jpg\" alt=\"\" width=\"404\" height=\"410\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u30b5\u30f3\u30d7\u30eb\u306e\u5143\u306e\u5206\u5e03\u304c\u6b63\u898f\u5206\u5e03\u3057\u3066\u3044\u306a\u304b\u3063\u305f\u3068\u3057\u3066\u3082\u3001\u30b5\u30f3\u30d7\u30eb\u5e73\u5747\u306e\u6a19\u672c\u5206\u5e03\u306f\u6b63\u898f\u5206\u5e03\u3057\u3066\u3044\u308b\u3088\u3046\u306b\u898b\u3048\u308b\u3053\u3068\u306b\u6ce8\u610f\u3057\u3066\u304f\u3060\u3055\u3044\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3053\u306e\u6a19\u672c\u5206\u5e03\u306e\u6a19\u672c\u5e73\u5747\u3068\u6a19\u672c\u6a19\u6e96\u504f\u5dee\u306b\u3082\u6ce8\u76ee\u3057\u3066\u304f\u3060\u3055\u3044\u3002<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>x\u0304<\/strong> : 4.008<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>s<\/strong> : 0.517<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u3053\u3053\u3067\u3001\u4f7f\u7528\u3059\u308b\u30b5\u30f3\u30d7\u30eb \u30b5\u30a4\u30ba\u3092 n=5 \u304b\u3089 n=30 \u306b\u5897\u3084\u3057\u3001\u30b5\u30f3\u30d7\u30eb\u5e73\u5747\u306e\u30d2\u30b9\u30c8\u30b0\u30e9\u30e0\u3092\u518d\u4f5c\u6210\u3059\u308b\u3068\u3057\u307e\u3059\u3002<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create empty vector to hold sample means\n<span style=\"color: #000000;\">sample30 &lt;- c()\n\n<span style=\"color: #008080;\">#take 1,000 random samples of size n=30\n<\/span>n = 1000\n<span style=\"color: #008000;\">for<\/span> (i <span style=\"color: #008000;\">in<\/span> 1:n){\nsample30[i] = mean(sample(data, 30, replace= <span style=\"color: #008000;\">TRUE<\/span> ))\n}\n\n<span style=\"color: #008080;\">#calculate mean and standard deviation of sample means\n<\/span>mean(sample30)\n\n[1] 4.000472\n\nsd(sample30)\n\n[1] 0.2003791\n\n<span style=\"color: #008080;\">#create histogram to visualize sampling distribution of sample means\n<\/span>hist(sample30, col = ' <span style=\"color: #ff0000;\">steelblue<\/span> ', xlab=' <span style=\"color: #ff0000;\">Turtle Shell Width<\/span> ', main=' <span style=\"color: #ff0000;\">Sample size = 30<\/span> ')<\/span><\/span><\/strong> <\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-22529 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/central3.jpg\" alt=\"\" width=\"427\" height=\"435\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u6a19\u672c\u5206\u5e03\u306f\u518d\u3073<a href=\"https:\/\/statorials.org\/ja\/\u6b63\u898f\u5206\u5e03-1\/\" target=\"_blank\" rel=\"noopener\">\u6b63\u898f\u5206\u5e03\u306b\u306a\u308a<\/a>\u307e\u3059\u304c\u3001\u6a19\u672c\u6a19\u6e96\u504f\u5dee\u306f\u3055\u3089\u306b\u5c0f\u3055\u304f\u306a\u308a\u307e\u3059\u3002<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\"><strong>\u79d2<\/strong>\uff1a0.200<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u3053\u308c\u306f\u3001\u524d\u306e\u4f8b (n=5) \u3068\u6bd4\u8f03\u3057\u3066\u5927\u304d\u306a\u30b5\u30f3\u30d7\u30eb \u30b5\u30a4\u30ba (n=30) \u3092\u4f7f\u7528\u3057\u305f\u305f\u3081\u3001\u30b5\u30f3\u30d7\u30eb\u5e73\u5747\u306e\u6a19\u6e96\u504f\u5dee\u306f\u3055\u3089\u306b\u5c0f\u3055\u304f\u306a\u308a\u307e\u3057\u305f\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3088\u308a\u5927\u304d\u306a\u30b5\u30f3\u30d7\u30eb\u3092\u4f7f\u7528\u3057\u7d9a\u3051\u308b\u3068\u3001\u30b5\u30f3\u30d7\u30eb\u306e\u6a19\u6e96\u504f\u5dee\u304c\u3069\u3093\u3069\u3093\u5c0f\u3055\u304f\u306a\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3053\u308c\u306f\u5b9f\u969b\u306e\u4e2d\u5fc3\u6975\u9650\u5b9a\u7406\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u8ffd\u52a0\u30ea\u30bd\u30fc\u30b9<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u30ea\u30bd\u30fc\u30b9\u306f\u3001\u4e2d\u5fc3\u6975\u9650\u5b9a\u7406\u306b\u95a2\u3059\u308b\u8ffd\u52a0\u60c5\u5831\u3092\u63d0\u4f9b\u3057\u307e\u3059\u3002<\/span><\/p>\n<p><a href=\"https:\/\/statorials.org\/ja\/\u4e2d\u5fc3\u6975\u9650\u5b9a\u7406\/\" target=\"_blank\" rel=\"noopener\">\u4e2d\u5fc3\u6975\u9650\u5b9a\u7406\u306e\u6982\u8981<\/a><br \/><a href=\"https:\/\/statorials.org\/ja\/\u4e2d\u5fc3\u6975\u9650\u5b9a\u7406\u8a08\u7b97\u6a5f\/\" target=\"_blank\" rel=\"noopener\">\u4e2d\u5fc3\u6975\u9650\u5b9a\u7406\u8a08\u7b97\u6a5f<\/a><br \/><a href=\"https:\/\/statorials.org\/ja\/\u4e2d\u5fc3\u6975\u9650\u5b9a\u7406\u306e\u5b9f\u4f8b\/\" target=\"_blank\" rel=\"noopener\">\u5b9f\u751f\u6d3b\u3067\u306e\u4e2d\u5fc3\u6975\u9650\u5b9a\u7406\u306e\u4f7f\u7528\u4f8b 5 \u3064<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u4e2d\u5fc3\u6975\u9650\u5b9a\u7406\u306f\u3001\u305f\u3068\u3048\u6bcd\u96c6\u56e3\u306e\u5206\u5e03\u304c\u6b63\u898f\u3067\u306a\u304f\u3066\u3082\u3001\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u304c\u5341\u5206\u306b\u5927\u304d\u3051\u308c\u3070\u6a19\u672c\u5e73\u5747\u306e\u6a19\u672c\u5206\u5e03\u306f\u307b\u307c\u6b63\u898f\u306b\u306a\u308b\u3001\u3068\u3044\u3046\u3082\u306e\u3067\u3059\u3002 \u4e2d\u5fc3\u6975\u9650\u5b9a\u7406\u306f\u3001\u6a19\u672c\u5206\u5e03\u304c\u6b21\u306e\u7279\u6027\u3092\u6301\u3064\u3053\u3068\u3082\u793a\u3057\u3066\u3044\u307e\u3059\u3002 1.\u6a19\u672c\u5206\u5e03\u306e\u5e73\u5747\u306f 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