{"id":399,"date":"2020-12-30T16:18:04","date_gmt":"2020-12-30T07:18:04","guid":{"rendered":"https:\/\/best-biostatistics.com\/toukei-er\/entry\/sample-size-determination-for-correlation-coefficient\/"},"modified":"2024-10-04T23:02:51","modified_gmt":"2024-10-04T14:02:51","slug":"sample-size-determination-for-correlation-coefficient","status":"publish","type":"post","link":"https:\/\/best-biostatistics.com\/toukei-er\/entry\/sample-size-determination-for-correlation-coefficient\/","title":{"rendered":"R EZR \u30a8\u30af\u30bb\u30eb SPSS \u3067\u76f8\u95a2\u4fc2\u6570\u306e\u8a08\u7b97\u30fb\u691c\u5b9a\u30fb\u5fc5\u8981\u306a\u30b5\u30f3\u30d7\u30eb\u6570\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5"},"content":{"rendered":"\n

\u76f8\u95a2\u4fc2\u6570\u306e\u8a08\u7b97\u306b\u5fc5\u8981\u306a\u30b5\u30f3\u30d7\u30eb\u6570\u306f\u3044\u304f\u3064\u304b\uff1f<\/p>\n\n\n\n

\u76f8\u95a2\u4fc2\u6570\u306e\u691c\u5b9a\u3068\u306e\u95a2\u4fc2\u304b\u3089\u7d39\u4ecb\u3002<\/p>\n\n\n\n\n\n\n\n

\u76f8\u95a2\u4fc2\u6570\u306e\u30b5\u30f3\u30d7\u30eb\u6570\u8a08\u7b97\u306e\u524d\u63d0\u3068\u306a\u308b\u691c\u5b9a\u306e\u8a08\u7b97\u65b9\u6cd5<\/h2>\n\n\n\n

\u76f8\u95a2\u4fc2\u6570\u306e\u691c\u5b9a\u306f\u3001\u6bcd\u96c6\u56e3\u306e\u76f8\u95a2\u4fc2\u6570\u3001\u6bcd\u76f8\u95a2\u4fc2\u6570\uff08\u307c\u305d\u3046\u304b\u3093\u3051\u3044\u3059\u3046\uff09\u304c\u30bc\u30ed\u304b\u3069\u3046\u304b\u306e\u691c\u5b9a\u3067\u3042\u308b\u3002<\/p>\n\n\n\n

\u901a\u5e38\u306f\uff54\u5206\u5e03\u3092\u4f7f\u3046\u691c\u5b9a\u7d71\u8a08\u91cf\uff54\u3092\u8a08\u7b97\u3059\u308b\u3002\uff52\u306f\u76f8\u95a2\u4fc2\u6570\u3001\uff4e\u306f\u30c7\u30fc\u30bf\u306e\u30da\u30a2\u6570\uff08\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u3068\u8a00\u3046\u3002\u30b5\u30f3\u30d7\u30eb\u6570\u3068\u3082\u8a00\u308f\u308c\u308b\uff09\u3002<\/p>\n\n\n\n

$$ t = \\frac{|r| – 0}{\\sqrt{\\frac{1 – r^2}{n – 2}}} $$<\/p>\n\n\n\n\n\n\n\n

\uff52\u306f\u30d5\u30a3\u30c3\u30b7\u30e3\u30fc\u306e\uff5a\u5909\u63db\u3068\u3044\u3046\u5909\u63db\u3092\u65bd\u3059\u3053\u3068\u3067\u3001\u6b63\u898f\u5206\u5e03\u306b\u5f93\u3046\u5909\u6570\u306b\u5909\u63db\u3067\u304d\u308b\u3002\uff5a\u5909\u63db\u306f\u4ee5\u4e0b\u306e\u901a\u308a\u3002<\/p>\n\n\n\n

$$ z = \\frac{1}{2} \\log{\\frac{1 + r}{1 – r}} $$<\/p>\n\n\n\n\n\n\n\n

\uff5a\u306f\u5206\u6563 \\frac{1}{n – 3} \u306b\u5f93\u3046\u3002\u3088\u3063\u3066\u6bcd\u76f8\u95a2\u4fc2\u6570\u304c\u30bc\u30ed\u3067\u3042\u308b\u3068\u60f3\u5b9a\u3057\u305f\u5834\u5408\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u6a19\u6e96\u5316\u3067\u304d\u308b\u3002<\/p>\n\n\n\n

$$ Z = \\frac{z – 0}{\\sqrt{\\frac{1}{n – 3}}} $$<\/p>\n\n\n\n\n\n\n\n

\u3053\u306eZ\u3092\u7528\u3044\u3066\u3001\u6a19\u6e96\u6b63\u898f\u5206\u5e03\u3067\u691c\u5b9a\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u3002<\/p>\n\n\n\n

\u76f8\u95a2\u4fc2\u6570\u306e\u30b5\u30f3\u30d7\u30eb\u6570\u8a08\u7b97<\/h2>\n\n\n\n

\u76f8\u95a2\u4fc2\u6570\u8a08\u7b97\u306b\u5fc5\u8981\u306a\u30c7\u30fc\u30bf\u306e\u30da\u30a2\u6570\u306f\u3001\u4e0a\u8a18\u306eZ\u306e\u5f0f\u3092\uff4e\u306b\u3064\u3044\u3066\u89e3\u304f\u3002<\/p>\n\n\n\n

$$ Z = z \\sqrt{n – 3} $$<\/p>\n\n\n\n

\u4e21\u8fba\u3092 2 \u4e57\u3057\u3066<\/p>\n\n\n\n

$$ Z^2 = z^2 (n – 3) $$<\/p>\n\n\n\n

n \u306b\u3064\u3044\u3066\u89e3\u304f\u3068<\/p>\n\n\n\n

$$ n = \\left( \\frac{Z}{z} \\right)^2 + 3 $$<\/p>\n\n\n\n\n\n\n\n

\u3053\u3053\u3067\u3001\u6bcd\u76f8\u95a2\u4fc2\u6570\u304c\u30bc\u30ed\u3067\u306f\u306a\u3044\u3068\u3044\u3046\u5bfe\u7acb\u4eee\u8aac\u5206\u3092\u52a0\u3048\u308b\u3002<\/p>\n\n\n\n

\u5148\u307b\u3069\u307e\u3067\u306eZ\u3092\u5e30\u7121\u4eee\u8aac\u306eZa\u3068\u3059\u308b\u3068\u3001\u5bfe\u7acb\u4eee\u8aac\u306eZ\u306fZb\u3067\u3042\u308b\u3002<\/p>\n\n\n\n

\u300cZb\u5206\u306e\u4e0b\u99c4\u3092\u306f\u304b\u305b\u3066\u7d71\u8a08\u5b66\u7684\u6709\u610f\u306b\u3057\u3084\u3059\u304f\u3059\u308b\uff08\u307c\u3093\u3084\u308a\u3082\u306e\uff08\uff42\uff09\u306e\u30a8\u30e9\u30fc\u3092\u6e1b\u3089\u3059\uff09\u300d\u3068\u899a\u3048\u308b\u3068\u3088\u3044\u3002<\/p>\n\n\n\n

$$ n = \\left( \\frac{Z_a + Z_b}{z} \\right)^2 + 3 $$<\/p>\n\n\n\n\n\n\n\n

\u3053\u308c\u304c\u5fc5\u8981\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u306b\u306a\u308b\u3002<\/p>\n\n\n\n

\u8a08\u7b97\u306b\u5fc5\u8981\u306a\u60c5\u5831\u306f\u3001\u76f8\u95a2\u4fc2\u6570\uff52\uff08\u3053\u308c\u3092\uff5a\u5909\u63db\u3059\u308b\uff09\u3001\u6709\u610f\u6c34\u6e96\u03b1\uff08Za\u3092\u8a08\u7b97\u3059\u308b\uff09\u3001\u691c\u51fa\u529b1\uff0d\u03b2\uff08Zb\u3092\u8a08\u7b97\u3059\u308b\uff09\u3001\u691c\u5b9a\u304c\u4e21\u5074\u304b\u7247\u5074\u304b\u3067\u3042\u308b\u3002\u4e21\u5074\u306e\u5834\u5408\u306f\u03b1\u3092\u534a\u5206\u306b\u3057\u3066\u4f7f\u3046\u3002<\/p>\n\n\n\n

\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>\r\n

\u21911\u4e07\u4eba\u4ee5\u4e0a\u306e\u533b\u7642\u5f93\u4e8b\u8005\u304c\u8cfc\u8aad\u4e2d<\/span><\/strong><\/span><\/p><\/div>

\u76f8\u95a2\u4fc2\u6570\u306e\u8a08\u7b97\u3068\u691c\u5b9a\u3092R\u3067\u884c\u3046\u65b9\u6cd5<\/h2>\n\n\n\n

\u76f8\u95a2\u4fc2\u6570\u306e\u4f8b\u3092\u63d0\u793a\u3057\u3066\u3001\u305d\u306e\u7d50\u679c\u3092\u5f97\u308b\u305f\u3081\u306e\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u8a08\u7b97\u3092\u884c\u3063\u3066\u307f\u308b\u3002<\/p>\n\n\n\n

\u4e2d\u9593\u30c6\u30b9\u30c8\u3068\u671f\u672b\u30c6\u30b9\u30c8\uff08\u67b6\u7a7a\u4f8b\uff09\u306e\u76f8\u95a2\u4fc2\u6570\u3092\u8a08\u7b97\u3057\u3066\u307f\u308b\u3002<\/p>\n\n\n\n

\u7d71\u8a08\u30bd\u30d5\u30c8R\u3092\u4f7f\u3046\u3002<\/p>\n\n\n\n

chukan <-<\/span> c<\/span>(<\/span>64<\/span>,<\/span>40<\/span>,<\/span>71<\/span>,<\/span>33<\/span>,<\/span>30<\/span>,<\/span>71<\/span>,<\/span>92<\/span>,<\/span>23<\/span>,<\/span>41<\/span>,<\/span>55<\/span>,<\/span>93<\/span>,<\/span>74<\/span>)<\/span>\nkimatu <-<\/span> c<\/span>(<\/span>55<\/span>,<\/span>52<\/span>,<\/span>76<\/span>,<\/span>24<\/span>,<\/span>48<\/span>,<\/span>87<\/span>,<\/span>100<\/span>,<\/span>30<\/span>,<\/span>35<\/span>,<\/span>67<\/span>,<\/span>86<\/span>,<\/span>81<\/span>)<\/span>\n(<\/span>r <-<\/span> sum<\/span>((<\/span>chukan-<\/span>mean<\/span>(<\/span>chukan))<\/span>*<\/span>(<\/span>kimatu-<\/span>mean<\/span>(<\/span>kimatu)))<\/span>\/<\/span>(<\/span>sqrt<\/span>(<\/span>sum<\/span>((<\/span>chukan-<\/span>mean<\/span>(<\/span>chukan))<\/span>^<\/span>2<\/span>))<\/span>*<\/span>sqrt<\/span>(<\/span>sum<\/span>((<\/span>kimatu-<\/span>mean<\/span>(<\/span>kimatu))<\/span>^<\/span>2<\/span>))))<\/span>\n(<\/span>n <-<\/span> length<\/span>(<\/span>chukan))<\/span>\n(<\/span>t <-<\/span> (<\/span>abs<\/span>(<\/span>r)<\/span>-<\/span>0<\/span>)<\/span>\/<\/span>sqrt<\/span>((<\/span>1<\/span>-<\/span>r^<\/span>2<\/span>)<\/span>\/<\/span>(<\/span>n-<\/span>2<\/span>)))<\/span>\n(<\/span>p_t <-<\/span> pt<\/span>(<\/span>t,<\/span> n-<\/span>2<\/span>,<\/span> lower.tail=<\/span>FALSE<\/span>)<\/span>*<\/span>2<\/span>)<\/span>\ncor.test<\/span>(<\/span>chukan,<\/span>kimatu)<\/span>\n<\/code><\/pre>\n\n\n\n
\u3053\u306e\u8a08\u7b97\u7d50\u679c\u306f\u4ee5\u4e0b\u306e\u901a\u308a\u3002<\/p>\n\n\n\n
\uff52\u306f0.9194158\u3067\u3001\uff4e\u306f12\u3001\uff54\u306f7.392692\u3001\uff50\u5024\u306f $ 2.33485 \\times 10^{-5} $ \u3068\u306a\u308b\u3002<\/p>\n\n\n\n
\u3061\u306a\u307f\u306b\u3001cor.test()\u3092\u4f7f\u3048\u3070\u3001\u5168\u90e8\u4e00\u5ea6\u306b\u8a08\u7b97\u3057\u3066\u304f\u308c\u308b\u3002<\/p>\n\n\n\n
><\/span> (<\/span>r <-<\/span> sum<\/span>((<\/span>chukan-<\/span>mean<\/span>(<\/span>chukan))<\/span>*<\/span>(<\/span>kimatu-<\/span>mean<\/span>(<\/span>kimatu)))<\/span>\/<\/span>(<\/span>sqrt<\/span>(<\/span>sum<\/span>((<\/span>chukan-<\/span>mean<\/span>(<\/span>chukan))<\/span>^<\/span>2<\/span>))<\/span>*<\/span>sqrt<\/span>(<\/span>sum<\/span>((<\/span>kimatu-<\/span>mean<\/span>(<\/span>kimatu))<\/span>^<\/span>2<\/span>))))<\/span>\n[<\/span>1<\/span>]<\/span> 0.9194158<\/span>\n><\/span>\n><\/span> (<\/span>n <-<\/span> length<\/span>(<\/span>chukan))<\/span>\n[<\/span>1<\/span>]<\/span> 12<\/span>\n><\/span>\n><\/span> (<\/span>t <-<\/span> (<\/span>abs<\/span>(<\/span>r)<\/span>-<\/span>0<\/span>)<\/span>\/<\/span>sqrt<\/span>((<\/span>1<\/span>-<\/span>r^<\/span>2<\/span>)<\/span>\/<\/span>(<\/span>n-<\/span>2<\/span>)))<\/span>\n[<\/span>1<\/span>]<\/span> 7.392692<\/span>\n><\/span>\n><\/span> (<\/span>p_t <-<\/span> pt<\/span>(<\/span>t,<\/span> n-<\/span>2<\/span>,<\/span> lower.tail=<\/span>FALSE<\/span>)<\/span>*<\/span>2<\/span>)<\/span>\n[<\/span>1<\/span>]<\/span> 2.33485e-05<\/span>\n><\/span>\n><\/span> cor.test<\/span>(<\/span>chukan,<\/span>kimatu)<\/span>\nPearson's product-moment correlation<\/span>\ndata:  chukan and kimatu<\/span>\nt = 7.3927, df = 10, p-value = 2.335e-05<\/span>\nalternative hypothesis: true correlation is not equal to 0<\/span>\n95 percent confidence interval:<\/span>\n 0.7314858 0.9775232<\/span>\nsample estimates:<\/span>\n      cor <\/span>\n0.9194158 <\/span>\n<\/code><\/pre>\n\n\n\n
\u3053\u306e\u3068\u304d\uff5a\u5909\u63db\u3092\u4f7f\u3046\u3068\u3069\u3046\u3044\u3046\u7d50\u679c\u306b\u306a\u308b\u304b\uff1f<\/p>\n\n\n\n
\u901a\u5e38\u306f\u8a08\u7b97\u3057\u306a\u3044\u304c\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u8a08\u7b97\u306e\u524d\u6bb5\u968e\u3068\u3057\u3066\u8a08\u7b97\u3057\u3066\u307f\u308b\u3002<\/p>\n\n\n\n
(<\/span>z <-<\/span> 1<\/span>\/<\/span>2<\/span>*<\/span>log<\/span>((<\/span>1<\/span>+<\/span>r)<\/span>\/<\/span>(<\/span>1<\/span>-<\/span>r)))<\/span>\n(<\/span>Z <-<\/span> z\/<\/span>sqrt<\/span>(<\/span>1<\/span>\/<\/span>(<\/span>n-<\/span>3<\/span>)))<\/span>\n(<\/span>p_z <-<\/span> pnorm<\/span>(<\/span>Z,<\/span> lower.tail=<\/span>FALSE<\/span>)<\/span>*<\/span>2<\/span>)<\/span>\n<\/code><\/pre>\n\n\n\n
\u7d50\u679c\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308b\u3002<\/p>\n\n\n\n
\uff50\u5024\u306f\u5148\u307b\u3069\u3088\u308a\u5c11\u3057\u5c0f\u3055\u304f$ 1.977492 \\times 10^{-6} $ \u3067\u3042\u308b\u3002<\/p>\n\n\n\n
><\/span> (<\/span>z <-<\/span> 1<\/span>\/<\/span>2<\/span>*<\/span>log<\/span>((<\/span>1<\/span>+<\/span>r)<\/span>\/<\/span>(<\/span>1<\/span>-<\/span>r)))<\/span>\n[<\/span>1<\/span>]<\/span> 1.585237<\/span>\n><\/span>\n><\/span> (<\/span>Z <-<\/span> z\/<\/span>sqrt<\/span>(<\/span>1<\/span>\/<\/span>(<\/span>n-<\/span>3<\/span>)))<\/span>\n[<\/span>1<\/span>]<\/span> 4.755711<\/span>\n><\/span>\n><\/span> (<\/span>p_z <-<\/span> pnorm<\/span>(<\/span>Z,<\/span> lower.tail=<\/span>FALSE<\/span>)<\/span>*<\/span>2<\/span>)<\/span>\n[<\/span>1<\/span>]<\/span> 1.977492e-06<\/span>\n<\/code><\/pre>\n\n\n\n
\u76f8\u95a2\u4fc2\u6570\u306e\u30b5\u30f3\u30d7\u30eb\u6570\u8a08\u7b97\u3092R\u3067\u884c\u3046\u65b9\u6cd5<\/h2>\n\n\n\n
\u4e0a\u8a18\u306e\u4f8b\u306e\u3088\u3046\u306b\u76f8\u95a2\u4fc2\u65700.92\u304c\u7d71\u8a08\u5b66\u7684\u6709\u610f\uff08\u6bcd\u76f8\u95a2\u4fc2\u6570\u304c\u30bc\u30ed\u3067\u306f\u306a\u3044\uff09\u3068\u306a\u308b\u305f\u3081\u306b\u306f\u5fc5\u8981\u306a\u30c7\u30fc\u30bf\u6570\u306f\u3044\u304f\u3064\u3060\u308d\u3046\u304b\uff1f<\/p>\n\n\n\n
\u76f8\u95a2\u4fc2\u6570\u30920.92\u3001\u6709\u610f\u6c34\u6e96\u3092\u4e21\u5074\u30675\uff05\u3001\u691c\u51fa\u529b\u309280\uff05\u3068\u3059\u308b\u3068\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8a08\u7b97\u3067\u304d\u308b\u3002<\/p>\n\n\n\n
alpha <-<\/span> 0.05<\/span>\nside <-<\/span> 2<\/span>\npower <-<\/span> 0.8<\/span>\nr <-<\/span> 0.92<\/span>\n(<\/span>Za <-<\/span> qnorm<\/span>(<\/span>alpha\/<\/span>side,<\/span> lower.tail=<\/span>FALSE<\/span>))<\/span>\n(<\/span>Zb <-<\/span> qnorm<\/span>(<\/span>power))<\/span>\n(<\/span>z <-<\/span> 1<\/span>\/<\/span>2<\/span>*<\/span>log<\/span>((<\/span>1<\/span>+<\/span>r)<\/span>\/<\/span>(<\/span>1<\/span>-<\/span>r)))<\/span>\n(<\/span>n <-<\/span> ((<\/span>Za+<\/span>Zb)<\/span>\/<\/span>z)<\/span>^<\/span>2<\/span>+<\/span>3<\/span>)<\/span>\n<\/code><\/pre>\n\n\n\n
\u7d50\u679c\u306f\u4ee5\u4e0b\u306e\u3068\u304a\u308a\u3067\u3042\u308b\u3002\u5fc5\u8981\u306a\u30c7\u30fc\u30bf\u6570\uff08\u30da\u30a2\uff09\u306f6.108459\u306a\u306e\u3067\u5207\u308a\u4e0a\u3052\u3066\u3001\uff17\u3067\u3042\u308b\u3002<\/p>\n\n\n\n
\u76f8\u95a2\u4fc2\u6570\u304c0.92\u304f\u3089\u3044\u306a\u306e\u3067\u3042\u308c\u3070\u300112\u30da\u30a2\u306f\u5fc5\u8981\u306a\u304b\u3063\u305f\u3068\u3044\u3046\u3053\u3068\u306b\u306a\u308b\u3002<\/p>\n\n\n\n
7\u30da\u30a2\u3067\u3001\u76f8\u95a2\u4fc2\u65700.92\u304c\u5f97\u3089\u308c\u308c\u3070\u3001\u3082\u3063\u3068\u3082\u7121\u99c4\u304c\u306a\u3044\u8abf\u67fb\u30c7\u30b6\u30a4\u30f3\u3060\u3063\u305f\u3068\u8a00\u3048\u308b\u308f\u3051\u3060\u3002<\/p>\n\n\n\n
><\/span> alpha <-<\/span> 0.05<\/span>\n><\/span> side <-<\/span> 2<\/span>\n><\/span> power <-<\/span> 0.8<\/span>\n><\/span> r <-<\/span> 0.92<\/span>\n><\/span>\n><\/span> (<\/span>Za <-<\/span> qnorm<\/span>(<\/span>alpha\/<\/span>side,<\/span> lower.tail=<\/span>FALSE<\/span>))<\/span>\n[<\/span>1<\/span>]<\/span> 1.959964<\/span>\n><\/span> (<\/span>Zb <-<\/span> qnorm<\/span>(<\/span>power))<\/span>\n[<\/span>1<\/span>]<\/span> 0.8416212<\/span>\n><\/span> (<\/span>z <-<\/span> 1<\/span>\/<\/span>2<\/span>*<\/span>log<\/span>((<\/span>1<\/span>+<\/span>r)<\/span>\/<\/span>(<\/span>1<\/span>-<\/span>r)))<\/span>\n[<\/span>1<\/span>]<\/span> 1.589027<\/span>\n><\/span>\n><\/span> (<\/span>n <-<\/span> ((<\/span>Za+<\/span>Zb)<\/span>\/<\/span>z)<\/span>^<\/span>2<\/span>+<\/span>3<\/span>)<\/span>\n[<\/span>1<\/span>]<\/span> 6.108459<\/span>\n<\/code><\/pre>\n\n\n\n
\u76f8\u95a2\u4fc2\u6570\u306e\u8a08\u7b97\u3068\u691c\u5b9a\u3092EZR\u3067\u884c\u3046\u65b9\u6cd5<\/h2>\n\n\n\n
\u7d71\u8a08\u30bd\u30d5\u30c8R\u3092\u30e1\u30cb\u30e5\u30fc\u304b\u3089\u64cd\u4f5c\u3067\u304d\u308b\u3088\u3046\u306b\u6539\u826f\u3055\u308c\u305fEZR\uff08\u30a4\u30fc\u30b8\u30fc\u30a2\u30fc\u30eb\uff09\u3067\u3082\u76f8\u95a2\u4fc2\u6570\u306e\u8a08\u7b97\u3068\u691c\u5b9a\u306f\u3067\u304d\u308b\u3002<\/p>\n\n\n\n
\u5fc5\u8981\u306a\u30c7\u30fc\u30bf\u30da\u30a2\u6570\u306e\u8a08\u7b97\u30e1\u30cb\u30e5\u30fc\u306f\u898b\u3064\u304b\u3089\u306a\u3044\u3002<\/p>\n\n\n\n
\u5148\u307b\u3069\u306e\u4e2d\u9593\u30fb\u671f\u672b\u30c6\u30b9\u30c8\u306e\u70b9\u6570\uff08\u67b6\u7a7a\uff09\u4f8b\u3092\u8aad\u307f\u8fbc\u3093\u3067\u3001\u8a08\u7b97\u3057\u3066\u307f\u308b\u3002<\/p>\n\n\n\n
EZR\u306e\u30c7\u30fc\u30bf\u306e\u8aad\u307f\u8fbc\u307f<\/h3>\n\n\n\n
\u300c\u30d5\u30a1\u30a4\u30eb\u300d\u2192\u300c\u30c7\u30fc\u30bf\u306e\u30a4\u30f3\u30dd\u30fc\u30c8\u300d\u2192\u300c\u30d5\u30a1\u30a4\u30eb\u307e\u305f\u306f\u30af\u30ea\u30c3\u30d7\u30dc\u30fc\u30c9\u3001URL\u304b\u3089\u30c6\u30ad\u30b9\u30c8\u30c7\u30fc\u30bf\u3092\u8aad\u307f\u8fbc\u3080\u300d\u3067\u30c7\u30fc\u30bf\u306e\u8aad\u307f\u8fbc\u307f\u3092\u884c\u3046\u3002<\/p>\n\n\n\n
\"\"<\/figure>\n\n\n\n
CSV\uff08\u30ab\u30f3\u30de\u533a\u5207\u308a\u30d5\u30a1\u30a4\u30eb\uff09\u306e\u5834\u5408\u306f\u4f55\u3082\u3044\u3058\u3089\u305aOK\u3092\u30af\u30ea\u30c3\u30af\u3059\u308b\u3002<\/p>\n\n\n\n
\"\"<\/figure>\n\n\n\n
\u958b\u3044\u305f\u7a93\u3067\u8aad\u307f\u8fbc\u3080\u30d5\u30a1\u30a4\u30eb\u3092\u6307\u5b9a\u3059\u308b\u3002<\/p>\n\n\n\n
\u4eca\u56de\u306fcor-sample.csv\u3068\u3044\u3046\u30d5\u30a1\u30a4\u30eb\u3092\u8aad\u307f\u8fbc\u3080\u3002<\/p>\n\n\n\n
\u8aad\u307f\u8fbc\u3093\u3060\u5f8c\u306e\u72b6\u614b\u306f\u4ee5\u4e0b\u306e\u901a\u308a\u3002<\/p>\n\n\n\n
\"\"<\/figure>\n\n\n\n
\u4e2d\u592e\u4e0a\u90e8\u306e\u300c\u8868\u793a\u300d\u30dc\u30bf\u30f3\u3092\u30af\u30ea\u30c3\u30af\u3059\u308b\u3068\u8aad\u307f\u8fbc\u3093\u3060\u30d5\u30a1\u30a4\u30eb\u304c\u8868\u793a\u3067\u304d\u308b\u3002<\/p>\n\n\n\n
\"\"<\/figure>\n\n\n\n
\u4e2d\u592e\u4e0a\u90e8\u306e\u300c\u8868\u793a\u300d\u30dc\u30bf\u30f3\u3092\u30af\u30ea\u30c3\u30af\u3059\u308b\u3068\u3001\u8aad\u307f\u8fbc\u3093\u3060\u30d5\u30a1\u30a4\u30eb\u304c\u8868\u793a\u3055\u308c\u308b\u3002<\/p>\n\n\n\n
\"\"<\/figure>\n\n\n\n\n\n\n\n
EZR\u306e\u76f8\u95a2\u4fc2\u6570\u8a08\u7b97\u3068\u691c\u5b9a<\/h3>\n\n\n\n
\u300c\u7d71\u8a08\u89e3\u6790\u300d\u2192\u300c\u9023\u7d9a\u5909\u6570\u306e\u89e3\u6790\u300d\u2192\u300c\u76f8\u95a2\u4fc2\u6570\u306e\u691c\u5b9a\uff08Pearson\u306e\u7a4d\u7387\u76f8\u95a2\u4fc2\u6570\uff09\u300d\u3092\u9078\u629e\u3059\u308b\u3002<\/p>\n\n\n\n
\"\"<\/figure>\n\n\n\n\n\n\n\n
Ctrl\u30ad\u30fc\u3092\u62bc\u3057\u306a\u304c\u3089\u3001chukan\u3068kimatu\u3092\u30af\u30ea\u30c3\u30af\u3059\u308b\u3002<\/p>\n\n\n\n
\"\"<\/figure>\n\n\n\n
\u305d\u306e\u5f8cOK\u3092\u30af\u30ea\u30c3\u30af\u3059\u308b\u3068\u8a08\u7b97\u7d50\u679c\u304c\u8868\u793a\u3055\u308c\u308b\u3002<\/p>\n\n\n\n
\"\"<\/figure>\n\n\n\n
\u7d50\u679c\u306e\u4e00\u90e8\u3092\u629c\u304d\u51fa\u3057\u3066\u89e3\u8aac\u3059\u308b\u3068\u3001<\/p>\n\n\n\n
sample estimates:<\/span>\ncor\n0.9194158<\/span>\n<\/code><\/pre>\n\n\n\n
\u304c\u76f8\u95a2\u4fc2\u6570\u306e\u8a08\u7b97\u7d50\u679c\u3002<\/p>\n\n\n\n
t =<\/span> 7.3927<\/span>,<\/span> df =<\/span> 10<\/span>,<\/span> p-<\/span>value =<\/span> 0.00002335<\/span>\n<\/code><\/pre>\n\n\n\n
\u306e\u53f3\u7aef\u306e\uff50-value\u304c\uff50\u5024\u3067\u3001\u691c\u5b9a\u7d50\u679c\u3002<\/p>\n\n\n\n
\u30b0\u30e9\u30d5\u304c\u81ea\u52d5\u3067\u8868\u793a\u3055\u308c\u308b\u304c\u3001\u6563\u5e03\u56f3\u3060\u3051\u3067\u306a\u304f\u56de\u5e30\u76f4\u7dda\u304c\u8868\u793a\u3055\u308c\u308b\u305f\u3081\u3001\u8aa4\u89e3\u3057\u3084\u3059\u3044\u306e\u3067\u898b\u306a\u3044\u306e\u304c\u671b\u307e\u3057\u3044\u3002\u76f8\u95a2\u4fc2\u6570\u3068\u56de\u5e30\u76f4\u7dda\u306f\u672c\u6765\u5225\u7269\u3060\u3002<\/p>\n\n\n\n
\u76f8\u95a2\u3068\u56de\u5e30\u306b\u3064\u3044\u3066\u306f\u3001\u4ee5\u4e0b\u3082\u53c2\u7167\u306e\u3053\u3068\u3002<\/p>\n\n\n
\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\u3042\u308f\u305b\u3066\u8aad\u307f\u305f\u3044<\/span>\n\t\t\t\t\t
\"\"<\/figure><\/div>\t\t\t\t\t
\n\t\t\t\t\t\t\u76f8\u95a2\u3068\u56de\u5e30\u306e\u9055\u3044\u306f\u4f55\u304b\uff1f<\/a>\n\t\t\t\t\t\t\u76f8\u95a2\u3068\u56de\u5e30\u306f\u3069\u3046\u9055\u3046\u304b\uff1f \u4e21\u65b9\u3068\u30822\u3064\u306e\u30c7\u30fc\u30bf\u306e\u95a2\u4fc2\u6027\u3092\u898b\u3066\u3044\u308b\u308f\u3051\u3067\u3001\u3068\u3066\u3082\u4f3c\u3066\u3044\u308b\u3002\u76f8\u95a2\u3068\u56de\u5e30\u306e\u9055\u3044\u306b\u3064\u3044\u3066\u3001\u307e\u3068\u3081\u3066\u307f\u308b\u3002 \u76f8\u95a2\u3068\u56de\u5e30\u306e\u6839\u672c\u7684\u306a\u9055\u3044\u306f\uff1f …<\/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
\u76f8\u95a2\u4fc2\u6570\u306e\u8a08\u7b97\u3001\u691c\u5b9a\u3001\u30b5\u30f3\u30d7\u30eb\u6570\u8a08\u7b97\u3092\u30a8\u30af\u30bb\u30eb\u3067\u884c\u3046\u65b9\u6cd5<\/h2>\n\n\n\n
\u76f8\u95a2\u4fc2\u6570\u306e\u8a08\u7b97\u3001\u691c\u5b9a\u3001\u5fc5\u8981\u306a\u30c7\u30fc\u30bf\u6570\u306e\u8a08\u7b97\u3092\u30a8\u30af\u30bb\u30eb\u3067\u3084\u3063\u3066\u307f\u308b\u3002<\/p>\n\n\n\n
\u30a8\u30af\u30bb\u30eb\u30b7\u30fc\u30c8\u306e\u5168\u4f53\u50cf\u306f\u4ee5\u4e0b\u306e\u901a\u308a\u3002<\/p>\n\n\n\n
\"\"<\/figure>\n\n\n\n
\u307e\u305a\u3001\u76f8\u95a2\u4fc2\u6570\u3092\u8a08\u7b97\u3057\u305f\u3044\u30c7\u30fc\u30bf\u30da\u30a2\u3092\u5165\u529b\u3059\u308b\u3002\u3053\u306e\u30b7\u30fc\u30c8\u3067\u306f25\u4f8b\u307e\u3067\u5bfe\u5fdc\u53ef\u80fd\u3002<\/p>\n\n\n\n
\"\"<\/figure>\n\n\n\n
\u30c7\u30fc\u30bf\u3092\u5165\u529b\u3059\u308b\u3068\u76f8\u95a2\u4fc2\u6570\u3092\u8a08\u7b97\u3059\u308b\u306e\u306b\u5fc5\u8981\u306a\u8a08\u7b97\u3092\u81ea\u52d5\u3067\u884c\u3063\u3066\u304f\u308c\u308b\u3002<\/p>\n\n\n\n
\"\"<\/figure>\n\n\n\n
13\u756a\u76ee\u304b\u308925\u756a\u76ee\u306e\u30c7\u30fc\u30bf\u306b\u306f\u5f0f\u304c\u30b3\u30d4\u30fc\u3055\u308c\u3066\u3044\u306a\u3044\u306e\u3067\u300113\u756a\u76ee\u304b\u308925\u756a\u76ee\u306b\u30c7\u30fc\u30bf\u3092\u5165\u529b\u3057\u305f\u5834\u5408\u306f\u300112\u756a\u76ee\u304b\u3089\u5f0f\u3092\u30b3\u30d4\u30fc\uff06\u30da\u30fc\u30b9\u30c8\u3059\u308b\u5fc5\u8981\u304c\u3042\u308b\u3002<\/p>\n\n\n\n
\u76f8\u95a2\u4fc2\u6570\u306f\u3001\u3053\u3093\u306a\u9762\u5012\u306a\u8a08\u7b97\u3092\u305b\u305a\u3068\u3082 =CORREL() \u3092\u4f7f\u3048\u3070\u7c21\u5358\u306b\u8a08\u7b97\u3067\u304d\u308b\u306e\u306f\u8a00\u3046\u307e\u3067\u3082\u306a\u3044\u3002<\/p>\n\n\n\n
\u3057\u304b\u3057\u3001\u3053\u306e\u3088\u3046\u306b\u5730\u9053\u306b\u8a08\u7b97\u3057\u3066\u307f\u308b\u3068\u3001\u76f8\u95a2\u4fc2\u6570\u304c\u3069\u3093\u306a\u3075\u3046\u306b\u8a08\u7b97\u3055\u308c\u3066\u3044\u308b\u304b\u304c\u5b9f\u611f\u3067\u304d\u3066\u3001\u7406\u89e3\u304c\u9032\u3080\u3053\u3068\u306f\u9593\u9055\u3044\u306a\u3044\u3002<\/p>\n\n\n\n
\u4e00\u5ea6\u306f\u5730\u9053\u306b\u8a08\u7b97\u3057\u3066\u307f\u308b\u3053\u3068\u3092\u304a\u52e7\u3081\u3059\u308b\u3002<\/p>\n\n\n\n
\u30c7\u30fc\u30bf\u304c\u5165\u529b\u3055\u308c\u308b\u3068\u3001\u81ea\u52d5\u7684\u306b\u76f8\u95a2\u4fc2\u6570\u3068\u3001\u691c\u5b9a\u7d50\u679c\u304c\u8a08\u7b97\u3055\u308c\u308b\u3002<\/p>\n\n\n\n
\u9ec4\u8272\u3067\u30cf\u30a4\u30e9\u30a4\u30c8\u3055\u308c\u3066\u3044\u308b\u90e8\u5206\u304c\u7d50\u679c\u3060\u3002<\/p>\n\n\n\n
\"\"<\/figure>\n\n\n\n
\u3061\u306a\u307f\u306b\uff50\u5024\u306eE-05\u3068\u3044\u3046\u306e\u306f $ \\times 10^{-5} $ \u3068\u3044\u3046\u610f\u5473\u3067\u300110\u306e\u4f55\u4e57\u3092E\u3068\u8868\u73fe\u3059\u308b\u306e\u306f\u3001\u5c0f\u6570\u70b9\u4ee5\u4e0b\u304c\u591a\u304f\u306a\u3063\u305f\u6642\u3084\u3068\u3066\u3082\u6841\u304c\u591a\u3044\u5927\u304d\u306a\u6570\u5b57\u306e\u3068\u304d\u306b\u8868\u793a\u3055\u308c\u308b\u3002<\/p>\n\n\n\n
\u5fc5\u8981\u306a\u30c7\u30fc\u30bf\u30da\u30a2\u6570\u306e\u8a08\u7b97\u306f\u3001\u4ee5\u4e0b\u306e\u901a\u308a\u3002<\/p>\n\n\n\n
\uff4e\u306b\u306f\u5c0f\u6570\u70b9\u4ee5\u4e0b\u304c\u3042\u308b\u304c\u3001\u5207\u308a\u4e0a\u3052\u308c\u3070\u60f3\u5b9a\u3057\u305f\u691c\u51fa\u529b\u4ee5\u4e0a\u304c\u4fdd\u3066\u308b\u305f\u3081\u3001\u5207\u308a\u4e0a\u3052\u308b\u306e\u304c\u3088\u3044\u3002<\/p>\n\n\n\n
\"\"<\/figure>\n\n\n\n
\u4e88\u6e2c\u3055\u308c\u308b\u76f8\u95a2\u4fc2\u6570\uff52\u3001\u6709\u610f\u6c34\u6e96\uff08\u901a\u5e38\u306f0.05\u306e\u307e\u307e\u3067\u3088\u3044\uff09\u3001\u4e21\u5074\u691c\u5b9a\u304b\u7247\u5074\u691c\u5b9a\u304b\uff08\u901a\u5e38\u306f\u4e21\u5074\uff09\u3001\u691c\u51fa\u529b\uff08\u901a\u5e38\u306f0.8\u306e\u307e\u307e\u3067\u3088\u3044\uff09\u3092\u5165\u529b\u3059\u308b\u3068\u3001\uff5a\u304c\u8a08\u7b97\u3055\u308c\u3001\uff4e\u304c\u8a08\u7b97\u3055\u308c\u308b\u3002<\/p>\n\n\n\n
\u3061\u306a\u307f\u306b\u3001\u3053\u306e\u5fc5\u8981\u306a\u30c7\u30fc\u30bf\u30da\u30a2\u6570\u8a08\u7b97\u306e\u90e8\u5206\u306f\u5de6\u5074\u306e\u8a08\u7b97\u30b7\u30fc\u30c8\u3068\u306f\u95a2\u4fc2\u306a\u3044\u3002\uff52\u306f\u81ea\u5206\u3067\u81ea\u7531\u306b\u5909\u3048\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u3002<\/p>\n\n\n\n
\u30a8\u30af\u30bb\u30eb\u30b7\u30fc\u30c8\u306e\u53f3\u5074\u306f\u6563\u5e03\u56f3\u3067\u3042\u308b\u3002\u30c7\u30fc\u30bf\u3092\u5165\u529b\u3059\u308b\u3068\u81ea\u52d5\u3067\u63cf\u304b\u308c\u308b\u3002<\/p>\n\n\n\n
\"\"<\/figure>\n\n\n\n
\u3082\u3057\u3053\u306e\u30a8\u30af\u30bb\u30eb\u30b7\u30fc\u30c8\u304c\u6b32\u3057\u3044\u3068\u3044\u3046\u5e0c\u671b\u304c\u3042\u308c\u3070\u8cfc\u5165\u3067\u304d\u308b\u3002<\/p>\n\n\n\n
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\u3088\u3051\u308c\u3070\u3069\u3046\u305e\u3002<\/p>\n\n\n\n
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