{"id":534,"date":"2018-07-23T20:57:00","date_gmt":"2018-07-23T11:57:00","guid":{"rendered":"https:\/\/best-biostatistics.com\/toukei-er\/entry\/how-many-subjects-should-we-do-the-questionnaire\/"},"modified":"2024-10-13T22:28:18","modified_gmt":"2024-10-13T13:28:18","slug":"how-many-subjects-should-we-do-the-questionnaire","status":"publish","type":"post","link":"https:\/\/best-biostatistics.com\/toukei-er\/entry\/how-many-subjects-should-we-do-the-questionnaire\/","title":{"rendered":"\u30a2\u30f3\u30b1\u30fc\u30c8\u8abf\u67fb\u306b\u306f\u4f55\u4eba\u4ee5\u4e0a\u5fc5\u8981\u304b R \u3067\u8a08\u7b97\u3059\u308b\u65b9\u6cd5"},"content":{"rendered":"\n<p>\u30a2\u30f3\u30b1\u30fc\u30c8\u8abf\u67fb\u306b\u306f\u4f55\u4eba\u4ee5\u4e0a\u5fc5\u8981\u304b<\/p>\n\n\n\n<!--more-->\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u30a2\u30f3\u30b1\u30fc\u30c8\u8abf\u67fb\u306b\u306f\u4f55\u4eba\u4ee5\u4e0a\u5fc5\u8981\u304b-\u7121\u9650\u6bcd\u96c6\u56e3\u306e\u5834\u5408\">\u30a2\u30f3\u30b1\u30fc\u30c8\u8abf\u67fb\u306b\u306f\u4f55\u4eba\u4ee5\u4e0a\u5fc5\u8981\u304b \u7121\u9650\u6bcd\u96c6\u56e3\u306e\u5834\u5408<\/h2>\n\n\n\n<p>\u3088\u304f\u3042\u308b\u8cea\u554f\u3002<\/p>\n\n\n\n<p>\u300c\u30a2\u30f3\u30b1\u30fc\u30c8\u8abf\u67fb\u306f\u4f55\u4eba\u306b\u3068\u3063\u305f\u3089\u3088\u3044\u3067\u3057\u3087\u3046\u304b\u3002\u300d<\/p>\n\n\n\n<p>\u300c\u4e16\u8ad6\u8abf\u67fb\u306e\u30b5\u30f3\u30d7\u30eb\u6570\u306f\u672c\u5f53\u306b\u610f\u5473\u304c\u3042\u308b\u306e\u3067\u3057\u3087\u3046\u304b\u3002\u300d<\/p>\n\n\n\n<p>\u300c\u8996\u8074\u7387\u8abf\u67fb\u306e\u30b5\u30f3\u30d7\u30eb\u6570\u306f\u3069\u3046\u3084\u3063\u3066\u6c7a\u3081\u3066\u3044\u308b\u306e\u3067\u3057\u3087\u3046\u304b\u3002\u300d<\/p>\n\n\n\n<p>\u30a2\u30f3\u30b1\u30fc\u30c8\u8abf\u67fb\u3068\u306f\u3001\u5927\u4f53\u306b\u304a\u3044\u3066\u5272\u5408\u304c\u8a08\u7b97\u3055\u308c\u308b\u3002<\/p>\n\n\n\n<p>\u4f55\u3005\u306b\u3064\u3044\u3066\u8cdb\u6210\u304b\u53cd\u5bfe\u304b\uff1f<\/p>\n\n\n\n<p>\u8cdb\u6210\u306e\u5272\u5408\u304c\u4f55\uff05\u3001\u53cd\u5bfe\u304c\u4f55\uff05\u306a\u3069\u3002<\/p>\n\n\n\n<p>\u3060\u304b\u3089\u3001\u5272\u5408\u3092\u898b\u7a4d\u3082\u308b\u30b5\u30f3\u30d7\u30eb\u6570\u8a08\u7b97\u304c\u9069\u5207\u3002<\/p>\n\n\n\n<p>\u6bcd\u96c6\u56e3\u306e\u5272\u5408\u3092\u63a8\u5b9a\u3059\u308b\u30b5\u30f3\u30d7\u30eb\u6570\u8a08\u7b97\u306f\u4e8c\u901a\u308a\u3042\u308b\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\/how-to-determine-sample-size-in-proportion-test\/\">R \u3067\u5272\u5408\u306e\u63a8\u5b9a\u30fb\u691c\u5b9a\u306b\u5fc5\u8981\u306a\u30b5\u30f3\u30d7\u30eb\u6570\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5<\/a>\n\t\t\t\t\t\t<span class=\"p-blogCard__excerpt\">\u5272\u5408\u306b\u95a2\u3059\u308b\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u8a08\u7b97\u306e\u65b9\u6cd5 \u63a8\u5b9a\u7cbe\u5ea6\u3068\u691c\u5b9a\u306e 2 \u7a2e\u985e\u3042\u308a \u63a8\u5b9a\u7cbe\u5ea6\u306b\u57fa\u3065\u304f\u65b9\u6cd5 \u76f8\u5bfe\u7cbe\u5ea6delta\u3067\uff0c\u5272\u5408\u3092\u63a8\u5b9a\u3059\u308b\u969b\u306e\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u8a08\u7b97\u306f\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306a R&#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\n\n\n\n<p>\u63a8\u5b9a\u7cbe\u5ea6\u304b\u3089\u898b\u7a4d\u3082\u308b\u65b9\u6cd5\u3068\u3001\u691c\u5b9a\u304b\u3089\u898b\u7a4d\u3082\u308b\u65b9\u6cd5\u304c\u3042\u308b\u3002<\/p>\n\n\n\n<p>\u691c\u5b9a\u304b\u3089\u898b\u7a4d\u3082\u308b\u65b9\u6cd5\u306f\u3001\u6bd4\u8f03\u3059\u308b\u76f8\u624b\u3001\u3064\u307e\u308a\u6bcd\u96c6\u56e3\u306e\u5272\u5408\u304c\u5fc5\u8981\u3067\u3001\u305d\u308c\u306f\u901a\u5e38\u4e0d\u660e\u3002<\/p>\n\n\n\n<p>\u3086\u3048\u306b\u3001\u63a8\u5b9a\u7cbe\u5ea6\u304b\u3089\u898b\u7a4d\u3082\u308b\u306e\u304c\u7121\u96e3\u3060\u3002<\/p>\n\n\n\n<p>\u5b9f\u306f\u3001Yes\u3068\u56de\u7b54\u3059\u308b\u5272\u5408\u304c50%\u3068\u8003\u3048\u305f\u6642\u304c\u3001\u3082\u3063\u3068\u3082\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u304c\u5927\u304d\u304f\u306a\u308b\u3002<\/p>\n\n\n\n<p>\u3082\u3063\u3068\u3082\u7121\u96e3\u306a\u306e\u306f\u3001\u5272\u5408\u304c50%\u3068\u306a\u308b\u3068\u60f3\u5b9a\u3057\u3066\u3001\u6700\u5927\u306e\u30b5\u30f3\u30d7\u30eb\u6570\u3092\u8a08\u7b97\u3057\u3066\u304a\u304f\u3053\u3068\u3060\u3002<\/p>\n\n\n\n<p>R \u3067\u30b9\u30af\u30ea\u30d7\u30c8\u3092\u66f8\u304f\u3068\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308b\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>inf.pop.prop.samplesize <span class=\"synStatement\">&lt;-<\/span>\n<span class=\"synType\">function<\/span><span class=\"synSpecial\">(<\/span>p<span class=\"synStatement\">=<\/span><span class=\"synConstant\">NULL<\/span><span class=\"synSpecial\">,<\/span> delta<span class=\"synStatement\">=<\/span><span class=\"synConstant\">NULL<\/span><span class=\"synSpecial\">,<\/span> conf.level<span class=\"synStatement\">=<\/span><span class=\"synConstant\">0.95<\/span><span class=\"synSpecial\">){<\/span>\nn <span class=\"synStatement\">&lt;-<\/span> <span class=\"synIdentifier\">qnorm<\/span><span class=\"synSpecial\">((<\/span><span class=\"synConstant\">1<\/span><span class=\"synStatement\">-<\/span>conf.level<span class=\"synSpecial\">)<\/span><span class=\"synStatement\">\/<\/span><span class=\"synConstant\">2<\/span><span class=\"synSpecial\">,<\/span> lower.tail<span class=\"synStatement\">=<\/span><span class=\"synConstant\">F<\/span><span class=\"synSpecial\">)<\/span><span class=\"synStatement\">^<\/span><span class=\"synConstant\">2<\/span><span class=\"synStatement\">*<\/span>p<span class=\"synStatement\">*<\/span><span class=\"synSpecial\">(<\/span><span class=\"synConstant\">1<\/span><span class=\"synStatement\">-<\/span>p<span class=\"synSpecial\">)<\/span><span class=\"synStatement\">\/<\/span>delta<span class=\"synStatement\">^<\/span><span class=\"synConstant\">2<\/span>\nMETHOD <span class=\"synStatement\">&lt;-<\/span> <span class=\"synConstant\">\"Sample size estimated (infinite population)\"<\/span>\n<span class=\"synIdentifier\">structure<\/span><span class=\"synSpecial\">(<\/span><span class=\"synType\">list<\/span><span class=\"synSpecial\">(<\/span><span class=\"synConstant\">\"Sample size needed\"<\/span><span class=\"synStatement\">=<\/span>n<span class=\"synSpecial\">,<\/span>\n<span class=\"synConstant\">\"Population proportion\"<\/span><span class=\"synStatement\">=<\/span>p<span class=\"synSpecial\">,<\/span>\n<span class=\"synConstant\">\"Diff. b\/w mean to limit\"<\/span><span class=\"synStatement\">=<\/span>delta<span class=\"synSpecial\">,<\/span> <span class=\"synConstant\">\"Confidence level\"<\/span><span class=\"synStatement\">=<\/span>conf.level<span class=\"synSpecial\">,<\/span>\nmethod<span class=\"synStatement\">=<\/span>METHOD<span class=\"synSpecial\">),<\/span> class<span class=\"synStatement\">=<\/span><span class=\"synConstant\">\"power.htest\"<\/span><span class=\"synSpecial\">)<\/span>\n<span class=\"synSpecial\">}<\/span>\n<\/code><\/pre>\n\n\n\n<p>\u4f8b\u3048\u3070\u3001\u5272\u5408\u304c50%\u3067\u3001\u63a8\u5b9a\u7cbe\u5ea6\u3067\u3042\u308b95%\u4fe1\u983c\u533a\u9593\u304c\u00b15%\u3068\u306a\u308b\u3088\u3046\u306b\u3001\u30b5\u30f3\u30d7\u30eb\u6570\u306e\u8a08\u7b97\u3092\u3059\u308b\u3068\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308b\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code><span class=\"synIdentifier\">inf.pop.prop.samplesize<\/span><span class=\"synSpecial\">(<\/span>p<span class=\"synStatement\">=<\/span><span class=\"synConstant\">0.5<\/span><span class=\"synSpecial\">,<\/span> delta<span class=\"synStatement\">=<\/span><span class=\"synConstant\">0.05<\/span><span class=\"synSpecial\">)<\/span>\n<\/code><\/pre>\n\n\n\n<p>\u7d50\u679c\u306f385\u4eba\u5fc5\u8981\u3068\u51fa\u308b\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code><span class=\"synStatement\">&gt;<\/span> <span class=\"synIdentifier\">inf.pop.prop.samplesize<\/span><span class=\"synSpecial\">(<\/span>p<span class=\"synStatement\">=<\/span><span class=\"synConstant\">0.5<\/span><span class=\"synSpecial\">,<\/span> delta<span class=\"synStatement\">=<\/span><span class=\"synConstant\">0.05<\/span><span class=\"synSpecial\">)<\/span>\nSample size <span class=\"synIdentifier\">estimated <\/span><span class=\"synSpecial\">(<\/span>infinite population<span class=\"synSpecial\">)<\/span>\nSample size needed <span class=\"synStatement\">=<\/span> <span class=\"synConstant\">384.1459<\/span>\nPopulation proportion <span class=\"synStatement\">=<\/span> <span class=\"synConstant\">0.5<\/span>\nDiff. b<span class=\"synStatement\">\/<\/span>w mean to limit <span class=\"synStatement\">=<\/span> <span class=\"synConstant\">0.05<\/span>\nConfidence level <span class=\"synStatement\">=<\/span> <span class=\"synConstant\">0.95<\/span>\n<\/code><\/pre>\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\/how-to-determine-sample-size-in-proportion-test\/\">R \u3067\u5272\u5408\u306e\u63a8\u5b9a\u30fb\u691c\u5b9a\u306b\u5fc5\u8981\u306a\u30b5\u30f3\u30d7\u30eb\u6570\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5<\/a>\n\t\t\t\t\t\t<span class=\"p-blogCard__excerpt\">\u5272\u5408\u306b\u95a2\u3059\u308b\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u8a08\u7b97\u306e\u65b9\u6cd5 \u63a8\u5b9a\u7cbe\u5ea6\u3068\u691c\u5b9a\u306e 2 \u7a2e\u985e\u3042\u308a \u63a8\u5b9a\u7cbe\u5ea6\u306b\u57fa\u3065\u304f\u65b9\u6cd5 \u76f8\u5bfe\u7cbe\u5ea6delta\u3067\uff0c\u5272\u5408\u3092\u63a8\u5b9a\u3059\u308b\u969b\u306e\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u8a08\u7b97\u306f\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306a R&#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\n\n\n\n<p>\u4e0a\u8a18\u306e\u8a18\u4e8b\u306e\u30b9\u30af\u30ea\u30d7\u30c8\u3092\u4f7f\u3063\u3066\u8a08\u7b97\u3057\u3066\u307f\u308b\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>myPsize <span class=\"synStatement\">&lt;-<\/span> <span class=\"synType\">function<\/span><span class=\"synSpecial\">(<\/span>p<span class=\"synSpecial\">,<\/span>delta<span class=\"synSpecial\">){<\/span>\nn <span class=\"synStatement\">&lt;-<\/span> <span class=\"synConstant\">4<\/span><span class=\"synStatement\">*<\/span><span class=\"synSpecial\">(<\/span><span class=\"synConstant\">1<\/span><span class=\"synStatement\">-<\/span>p<span class=\"synSpecial\">)<\/span><span class=\"synStatement\">\/<\/span><span class=\"synSpecial\">(<\/span>p<span class=\"synStatement\">*<\/span>delta<span class=\"synStatement\">^<\/span><span class=\"synConstant\">2<\/span><span class=\"synSpecial\">)<\/span>\n<span class=\"synIdentifier\">c<\/span><span class=\"synSpecial\">(<\/span><span class=\"synConstant\">\"N at least\"<\/span><span class=\"synStatement\">=<\/span>n<span class=\"synSpecial\">)<\/span>\n<span class=\"synSpecial\">}<\/span>\n<span class=\"synIdentifier\">myPsize<\/span><span class=\"synSpecial\">(<\/span>p<span class=\"synStatement\">=<\/span><span class=\"synConstant\">0.5<\/span><span class=\"synSpecial\">,<\/span> delta<span class=\"synStatement\">=<\/span><span class=\"synConstant\">0.1<\/span><span class=\"synSpecial\">)<\/span>\n<\/code><\/pre>\n\n\n\n<p>\u3053\u3061\u3089\u306edelta\u306f\u76f8\u5bfe\u7cbe\u5ea6\u306a\u306e\u3067\u300150%\u306b\u5bfe\u3057\u3066\u00b15%\u306f\u3001\u76f8\u5bfe\u7cbe\u5ea6\u00b110%\u3060\u3002<\/p>\n\n\n\n<p>\u7d50\u679c\u306f400\u4f8b\u3068\u8a08\u7b97\u3055\u308c\u305f\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code><span class=\"synStatement\">&gt;<\/span> <span class=\"synIdentifier\">myPsize<\/span><span class=\"synSpecial\">(<\/span>p<span class=\"synStatement\">=<\/span><span class=\"synConstant\">0.5<\/span><span class=\"synSpecial\">,<\/span> delta<span class=\"synStatement\">=<\/span><span class=\"synConstant\">0.1<\/span><span class=\"synSpecial\">)<\/span>\nN at least\n<span class=\"synConstant\">400<\/span>\n<\/code><\/pre>\n\n\n\n<p>\u3061\u3087\u3063\u3068\u305a\u308c\u305f\u304c\u3001\u304a\u304a\u3088\u305d\u540c\u3058\u7d50\u679c\u3060\u3002<\/p>\n\n\n\n<p>\u4e8c\u9805\u5206\u5e03\u3067\u78ba\u8a8d\u3057\u3066\u307f\u308b\u3068\u300195%\u4fe1\u983c\u533a\u9593\u306f\u3001\u78ba\u304b\u306b45%\uff5e55%\u3067\u3042\u308b\u306e\u304c\u308f\u304b\u308b\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code><span class=\"synStatement\">&gt;<\/span> <span class=\"synIdentifier\">binom.test<\/span><span class=\"synSpecial\">(<\/span><span class=\"synIdentifier\">round<\/span><span class=\"synSpecial\">(<\/span><span class=\"synConstant\">385<\/span><span class=\"synStatement\">*<\/span><span class=\"synConstant\">0.5<\/span><span class=\"synSpecial\">),<\/span> <span class=\"synConstant\">385<\/span><span class=\"synSpecial\">)<\/span>\nExact binomial test\ndata<span class=\"synSpecial\">:<\/span>  <span class=\"synIdentifier\">round<\/span><span class=\"synSpecial\">(<\/span><span class=\"synConstant\">385<\/span> <span class=\"synStatement\">*<\/span> <span class=\"synConstant\">0.5<\/span><span class=\"synSpecial\">)<\/span> and <span class=\"synConstant\">385<\/span>\nnumber of successes <span class=\"synStatement\">=<\/span> <span class=\"synConstant\">192<\/span><span class=\"synSpecial\">,<\/span> number of trials <span class=\"synStatement\">=<\/span> <span class=\"synConstant\">385<\/span><span class=\"synSpecial\">,<\/span> p<span class=\"synStatement\">-<\/span>value <span class=\"synStatement\">=<\/span> <span class=\"synConstant\">1<\/span>\nalternative hypothesis<span class=\"synSpecial\">:<\/span> true probability of success is not equal to <span class=\"synConstant\">0.5<\/span>\n<span class=\"synConstant\">95<\/span> percent confidence interval<span class=\"synSpecial\">:<\/span>\n<span class=\"synConstant\">0.4476347<\/span> <span class=\"synConstant\">0.5497880<\/span>\nsample estimates<span class=\"synSpecial\">:<\/span>\nprobability of success\n<span class=\"synConstant\">0.4987013<\/span>\n<\/code><\/pre>\n\n\n\n<p>\u4f8b\u3048\u3070\u3001\u8996\u8074\u7387\u8abf\u67fb\u306f300\u4e16\u5e2f\u3092\u7528\u3044\u3066\u3044\u308b\u304c\u3001\u305d\u306e\u6642\u306e\u59a5\u5f53\u6027\u3092\u8003\u3048\u3066\u307f\u308b\u3068\u3001\u8996\u8074\u738725%\u3092\u00b15%\u3067\u63a8\u5b9a\u3059\u308b\u305f\u3081\u306b\u306f\u3001289\u4e16\u5e2f\u3067\u3088\u3044\u3068\u3044\u3046\u7d50\u679c\u306b\u306a\u308b\u3002<\/p>\n\n\n\n<p>\u306a\u306e\u3067\u3001300\u4e16\u5e2f\u3067\u5341\u5206\u306a\u306e\u3060\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code><span class=\"synStatement\">&gt;<\/span> <span class=\"synIdentifier\">inf.pop.prop.samplesize<\/span><span class=\"synSpecial\">(<\/span>p<span class=\"synStatement\">=<\/span><span class=\"synConstant\">0.25<\/span><span class=\"synSpecial\">,<\/span> delta<span class=\"synStatement\">=<\/span><span class=\"synConstant\">0.05<\/span><span class=\"synSpecial\">)<\/span>\nSample size <span class=\"synIdentifier\">estimated <\/span><span class=\"synSpecial\">(<\/span>infinite population<span class=\"synSpecial\">)<\/span>\nSample size needed <span class=\"synStatement\">=<\/span> <span class=\"synConstant\">288.1094<\/span>\nPopulation proportion <span class=\"synStatement\">=<\/span> <span class=\"synConstant\">0.25<\/span>\nDiff. b<span class=\"synStatement\">\/<\/span>w mean to limit <span class=\"synStatement\">=<\/span> <span class=\"synConstant\">0.05<\/span>\nConfidence level <span class=\"synStatement\">=<\/span> <span class=\"synConstant\">0.95<\/span>\n<\/code><\/pre>\n\n\n\n<p>\u5ff5\u306e\u305f\u3081\u4e8c\u9805\u5206\u5e03\u3067\u78ba\u8a8d\u3059\u308b\u3068\u300195%\u4fe1\u983c\u533a\u9593\u306f20%\uff5e30%\u3068\u306a\u3063\u3066\u3044\u308b\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code><span class=\"synStatement\">&gt;<\/span> <span class=\"synIdentifier\">binom.test<\/span><span class=\"synSpecial\">(<\/span><span class=\"synIdentifier\">round<\/span><span class=\"synSpecial\">(<\/span><span class=\"synConstant\">289<\/span><span class=\"synStatement\">*<\/span><span class=\"synConstant\">0.25<\/span><span class=\"synSpecial\">),<\/span> <span class=\"synConstant\">289<\/span><span class=\"synSpecial\">)<\/span>\nExact binomial test\ndata<span class=\"synSpecial\">:<\/span>  <span class=\"synIdentifier\">round<\/span><span class=\"synSpecial\">(<\/span><span class=\"synConstant\">289<\/span> <span class=\"synStatement\">*<\/span> <span class=\"synConstant\">0.25<\/span><span class=\"synSpecial\">)<\/span> and <span class=\"synConstant\">289<\/span>\nnumber of successes <span class=\"synStatement\">=<\/span> <span class=\"synConstant\">72<\/span><span class=\"synSpecial\">,<\/span> number of trials <span class=\"synStatement\">=<\/span> <span class=\"synConstant\">289<\/span><span class=\"synSpecial\">,<\/span> p<span class=\"synStatement\">-<\/span>value <span class=\"synStatement\">&lt;<\/span> <span class=\"synConstant\">2.2e-16<\/span>\nalternative hypothesis<span class=\"synSpecial\">:<\/span> true probability of success is not equal to <span class=\"synConstant\">0.5<\/span>\n<span class=\"synConstant\">95<\/span> percent confidence interval<span class=\"synSpecial\">:<\/span>\n<span class=\"synConstant\">0.2003403<\/span> <span class=\"synConstant\">0.3031545<\/span>\nsample estimates<span class=\"synSpecial\">:<\/span>\nprobability of success\n<span class=\"synConstant\">0.2491349<\/span>\n<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u30a2\u30f3\u30b1\u30fc\u30c8\u8abf\u67fb\u306b\u306f\u4f55\u4eba\u4ee5\u4e0a\u5fc5\u8981\u304b-\u6709\u9650\u6bcd\u96c6\u56e3\u306e\u5834\u5408\">\u30a2\u30f3\u30b1\u30fc\u30c8\u8abf\u67fb\u306b\u306f\u4f55\u4eba\u4ee5\u4e0a\u5fc5\u8981\u304b \u6709\u9650\u6bcd\u96c6\u56e3\u306e\u5834\u5408<\/h2>\n\n\n\n<p>\u6b21\u306b\u3088\u304f\u3042\u308b\u8cea\u554f\u3068\u3057\u3066\u3001<\/p>\n\n\n\n<p>\u300c\u5168\u4f53\u4f55\u4eba\u306e\u3046\u3061\u4f55\u4eba\u306b\u30a2\u30f3\u30b1\u30fc\u30c8\u8abf\u67fb\u3092\u3057\u305f\u3089\u3088\u3044\u306e\u3067\u3057\u3087\u3046\u304b\u3002\u300d<\/p>\n\n\n\n<p>\u3068\u3044\u3046\u3082\u306e\u3002<\/p>\n\n\n\n<p>\u6709\u9650\u6bcd\u96c6\u56e3\u306e\u30b5\u30f3\u30d7\u30eb\u6570\u8a08\u7b97\u3002<\/p>\n\n\n\n<p>\u5168\u4f53\u4f55\u4eba\u306e\u3046\u3061\u3001\u4f55\u4eba\u8abf\u67fb\u3057\u305f\u3089\u3044\u3044\u304b\u3068\u3044\u3046\u8cea\u554f\u306b\u5bfe\u3059\u308b\u3001R \u306e\u30b9\u30af\u30ea\u30d7\u30c8\u306f\u4ee5\u4e0b\u306e\u901a\u308a\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>finite.pop.prop.samplesize <span class=\"synStatement\">&lt;-<\/span>\n<span class=\"synType\">function<\/span><span class=\"synSpecial\">(<\/span>p<span class=\"synStatement\">=<\/span><span class=\"synConstant\">NULL<\/span><span class=\"synSpecial\">,<\/span> delta<span class=\"synStatement\">=<\/span><span class=\"synConstant\">NULL<\/span><span class=\"synSpecial\">,<\/span> N<span class=\"synStatement\">=<\/span><span class=\"synConstant\">NULL<\/span><span class=\"synSpecial\">,<\/span> conf.level<span class=\"synStatement\">=<\/span><span class=\"synConstant\">0.95<\/span><span class=\"synSpecial\">){<\/span>\nn <span class=\"synStatement\">&lt;-<\/span> N<span class=\"synStatement\">\/<\/span><span class=\"synSpecial\">((<\/span>delta<span class=\"synStatement\">\/<\/span><span class=\"synIdentifier\">qnorm<\/span><span class=\"synSpecial\">((<\/span><span class=\"synConstant\">1<\/span><span class=\"synStatement\">-<\/span>conf.level<span class=\"synSpecial\">)<\/span><span class=\"synStatement\">\/<\/span><span class=\"synConstant\">2<\/span><span class=\"synSpecial\">,<\/span> lower.tail<span class=\"synStatement\">=<\/span><span class=\"synConstant\">F<\/span><span class=\"synSpecial\">))<\/span><span class=\"synStatement\">^<\/span><span class=\"synConstant\">2<\/span>\n<span class=\"synStatement\">*<\/span><span class=\"synSpecial\">((<\/span>N<span class=\"synStatement\">-<\/span><span class=\"synConstant\">1<\/span><span class=\"synSpecial\">)<\/span><span class=\"synStatement\">\/<\/span><span class=\"synSpecial\">(<\/span>p<span class=\"synStatement\">*<\/span><span class=\"synSpecial\">(<\/span><span class=\"synConstant\">1<\/span><span class=\"synStatement\">-<\/span>p<span class=\"synSpecial\">)))<\/span><span class=\"synStatement\">+<\/span><span class=\"synConstant\">1<\/span><span class=\"synSpecial\">)<\/span>\nMETHOD <span class=\"synStatement\">&lt;-<\/span> <span class=\"synConstant\">\"Sample size estimated (finite population)\"<\/span>\n<span class=\"synIdentifier\">structure<\/span><span class=\"synSpecial\">(<\/span><span class=\"synType\">list<\/span><span class=\"synSpecial\">(<\/span><span class=\"synConstant\">\"Sample size needed\"<\/span><span class=\"synStatement\">=<\/span>n<span class=\"synSpecial\">,<\/span>\n<span class=\"synConstant\">\"Popluation proportion\"<\/span><span class=\"synStatement\">=<\/span>p<span class=\"synSpecial\">,<\/span> <span class=\"synConstant\">\"Diff. b\/w mean to limit\"<\/span><span class=\"synStatement\">=<\/span>delta<span class=\"synSpecial\">,<\/span>\n<span class=\"synConstant\">\"Confidence level\"<\/span><span class=\"synStatement\">=<\/span>conf.level<span class=\"synSpecial\">,<\/span> method<span class=\"synStatement\">=<\/span>METHOD<span class=\"synSpecial\">),<\/span>\nclass<span class=\"synStatement\">=<\/span><span class=\"synConstant\">\"power.htest\"<\/span><span class=\"synSpecial\">)<\/span>\n<span class=\"synSpecial\">}<\/span>\n<\/code><\/pre>\n\n\n\n<p>\u6709\u9650\u6bcd\u96c6\u56e3\u304c30,000\u4eba\u3068\u3057\u3066\u3001\u6bcd\u6bd4\u73870.5\u3001\u63a8\u5b9a\u7cbe\u5ea6\u304c95%\u4fe1\u983c\u533a\u9593\u3092\u00b10.05\u3068\u3059\u308b\u3068\u3001380\u4eba\u5fc5\u8981\u3068\u8a08\u7b97\u3055\u308c\u308b\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code><span class=\"synStatement\">&gt;<\/span> <span class=\"synIdentifier\">finite.pop.prop.samplesize<\/span><span class=\"synSpecial\">(<\/span>p<span class=\"synStatement\">=<\/span><span class=\"synConstant\">0.5<\/span><span class=\"synSpecial\">,<\/span> delta<span class=\"synStatement\">=<\/span><span class=\"synConstant\">0.05<\/span><span class=\"synSpecial\">,<\/span> N<span class=\"synStatement\">=<\/span><span class=\"synConstant\">30000<\/span><span class=\"synSpecial\">)<\/span>\nSample size <span class=\"synIdentifier\">estimated <\/span><span class=\"synSpecial\">(<\/span>finite population<span class=\"synSpecial\">)<\/span>\nSample size needed <span class=\"synStatement\">=<\/span> <span class=\"synConstant\">379.3016<\/span>\nPopluation proportion <span class=\"synStatement\">=<\/span> <span class=\"synConstant\">0.5<\/span>\nDiff. b<span class=\"synStatement\">\/<\/span>w mean to limit <span class=\"synStatement\">=<\/span> <span class=\"synConstant\">0.05<\/span>\nConfidence level <span class=\"synStatement\">=<\/span> <span class=\"synConstant\">0.95<\/span>\n<\/code><\/pre>\n\n\n\n<p>\u5148\u307b\u3069\u306e\u7121\u9650\u6bcd\u96c6\u56e3\u306e385\u4eba\u304b\u30895\u4eba\u6e1b\u3063\u305f\u3002<\/p>\n\n\n\n<p>\u6bcd\u96c6\u56e3\u304c30,000\u4eba\u3068\u306a\u308b\u3068\u7121\u9650\u6bcd\u96c6\u56e3\u3068\u5927\u3057\u3066\u5909\u308f\u3089\u306a\u3044\u3053\u3068\u304c\u308f\u304b\u308b\u3002<\/p>\n\n\n\n<p>\u6bcd\u96c6\u56e3\u306e\u30b5\u30a4\u30ba\u3092100\u5206\u306e1\u306e300\u4eba\u306b\u3059\u308b\u3068\u3001169\u4eba\u3067\u3088\u304f\u306a\u308b\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code><span class=\"synStatement\">&gt;<\/span> <span class=\"synIdentifier\">finite.pop.prop.samplesize<\/span><span class=\"synSpecial\">(<\/span>p<span class=\"synStatement\">=<\/span><span class=\"synConstant\">0.5<\/span><span class=\"synSpecial\">,<\/span> delta<span class=\"synStatement\">=<\/span><span class=\"synConstant\">0.05<\/span><span class=\"synSpecial\">,<\/span> N<span class=\"synStatement\">=<\/span><span class=\"synConstant\">300<\/span><span class=\"synSpecial\">)<\/span>\nSample size <span class=\"synIdentifier\">estimated <\/span><span class=\"synSpecial\">(<\/span>finite population<span class=\"synSpecial\">)<\/span>\nSample size needed <span class=\"synStatement\">=<\/span> <span class=\"synConstant\">168.6957<\/span>\nPopluation proportion <span class=\"synStatement\">=<\/span> <span class=\"synConstant\">0.5<\/span>\nDiff. b<span class=\"synStatement\">\/<\/span>w mean to limit <span class=\"synStatement\">=<\/span> <span class=\"synConstant\">0.05<\/span>\nConfidence level <span class=\"synStatement\">=<\/span> <span class=\"synConstant\">0.95<\/span>\n<\/code><\/pre>\n\n\n\n<p>\u305f\u3060\u3057\u3001\u6bcd\u96c6\u56e3\u304c\u305f\u3063\u305f\u306e300\u4eba\u3057\u304b\u3044\u306a\u3044\u306e\u306b\u3001169\u4eba\u3092\u96c6\u3081\u308b\u306b\u306f\u76f8\u5f53\u306e\u82e6\u52b4\u304c\u5fc5\u8981\u306b\u306a\u308b\u3002<\/p>\n\n\n\n<p>\u9006\u306b\u3001\u3053\u306e\u5c0f\u3055\u3044\u6bcd\u96c6\u56e3\u306b\u3057\u304b\u9069\u7528\u3067\u304d\u306a\u3044\u7d50\u679c\u306f\u3001\u3069\u3046\u3044\u3046\u610f\u5473\u5408\u3044\u304b\uff1f<\/p>\n\n\n\n<p>\u610f\u5473\u5408\u3044\u304c\u9650\u5b9a\u3055\u308c\u308b\u3002<\/p>\n\n\n\n<p>300\u4eba\u306e\u6bcd\u96c6\u56e3\u306b\u3057\u304b\u95a2\u4fc2\u306e\u306a\u3044\u8a71\u306b\u4f7f\u3046\u5834\u5408\u306b\u306f\u3068\u3066\u3082\u3088\u3044\u3002<\/p>\n\n\n\n<p>300\u4eba\u5168\u54e1\u3092\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u3057\u306a\u304f\u3066\u3082169\u4eba\u3060\u3051\u3067\u3044\u3044\u306e\u3060\u304b\u3089\u3002<\/p>\n\n\n\n<div id=\"biost-1686019858\" 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=\"\u30a2\u30f3\u30b1\u30fc\u30c8\u8abf\u67fb\u306b\u306f\u4f55\u4eba\u4ee5\u4e0a\u5fc5\u8981\u304b\u3092\u30a8\u30af\u30bb\u30eb\u3067\u8a08\u7b97\">\u30a2\u30f3\u30b1\u30fc\u30c8\u8abf\u67fb\u306b\u306f\u4f55\u4eba\u4ee5\u4e0a\u5fc5\u8981\u304b\u3092\u30a8\u30af\u30bb\u30eb\u3067\u8a08\u7b97<\/h2>\n\n\n\n<p>\u30a8\u30af\u30bb\u30eb\u3067\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u8a08\u7b97\u3059\u308b\u65b9\u6cd5\u3092\u304a\u63a2\u3057\u306a\u3089\u3053\u3061\u3089\u306e\u8a18\u4e8b\u306e\u6700\u4e0b\u6bb5\u3092\u53c2\u7167\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\/how-to-determine-sample-size-in-questionnaire-survey-revisited\/\">\u30a2\u30f3\u30b1\u30fc\u30c8\u8abf\u67fb\u306b\u5fc5\u8981\u306a\u30b5\u30f3\u30d7\u30eb\u6570\u3092 R \u3067\u8a08\u7b97\u3059\u308b\u65b9\u6cd5<\/a>\n\t\t\t\t\t\t<span class=\"p-blogCard__excerpt\">\u30a2\u30f3\u30b1\u30fc\u30c8\u8abf\u67fb\u306f\u4f55\u4eba\u306b\u3068\u3063\u305f\u3089\u3044\u3044\u304b\uff1f \u30a2\u30f3\u30b1\u30fc\u30c8\u8abf\u67fb\u306b\u5fc5\u8981\u306a\u30b5\u30f3\u30d7\u30eb\u6570\u306e\u524d\u306b\u30a2\u30f3\u30b1\u30fc\u30c8\u8abf\u67fb\u306e\u76ee\u7684 \u30a2\u30f3\u30b1\u30fc\u30c8\u8abf\u67fb\u306b\u5fc5\u8981\u306a\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u3092\u8003\u3048\u308b\u524d\u306b\u3001\u30a2\u30f3\u30b1\u30fc&#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\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u307e\u3068\u3081\">\u307e\u3068\u3081<\/h2>\n\n\n\n<p>\u300c\u30a2\u30f3\u30b1\u30fc\u30c8\u8abf\u67fb\u306f\u4f55\u4eba\u304b\u3089\u3068\u3063\u305f\u3089\u3044\u3044\u304b\uff1f\u300d\u3068\u3044\u3046\u8cea\u554f\u306b\u306f\u3001\u7d04400\u4eba\u3068\u7b54\u3048\u308b\u306e\u304c\u7121\u96e3\u306a\u306e\u304c\u5224\u660e\u3057\u305f\u3002<\/p>\n\n\n\n<p>\u6bcd\u96c6\u56e3\u306e\u30b5\u30a4\u30ba\u304c\u5c0f\u3055\u3081\u3067\u3001\u308f\u304b\u3063\u3066\u3044\u308c\u3070\u3001\u5fc5\u8981\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u306f\u5c0f\u3055\u304f\u306a\u308b\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u30a2\u30f3\u30b1\u30fc\u30c8\u8abf\u67fb\u306b\u306f\u4f55\u4eba\u4ee5\u4e0a\u5fc5\u8981\u304b<\/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":[5,16,9],"tags":[],"class_list":["post-534","post","type-post","status-publish","format-standard","hentry","category-r","category-16","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\/534","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=534"}],"version-history":[{"count":2,"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/posts\/534\/revisions"}],"predecessor-version":[{"id":2916,"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/posts\/534\/revisions\/2916"}],"wp:attachment":[{"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/media?parent=534"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/categories?post=534"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/tags?post=534"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}