{"id":4529,"date":"2023-07-10T08:12:59","date_gmt":"2023-07-10T08:12:59","guid":{"rendered":"https:\/\/statorials.org\/ja\/%e3%82%a8%e3%82%a2%e3%83%ad%e3%83%83%e3%82%af%e3%81%a6%e3%82%99%e3%81%ae-2-%e3%81%a4%e3%81%ae%e6%af%94%e4%be%8b-z-%e3%83%86%e3%82%b9%e3%83%88\/"},"modified":"2023-07-10T08:12:59","modified_gmt":"2023-07-10T08:12:59","slug":"%e3%82%a8%e3%82%a2%e3%83%ad%e3%83%83%e3%82%af%e3%81%a6%e3%82%99%e3%81%ae-2-%e3%81%a4%e3%81%ae%e6%af%94%e4%be%8b-z-%e3%83%86%e3%82%b9%e3%83%88","status":"publish","type":"post","link":"https:\/\/statorials.org\/ja\/%e3%82%a8%e3%82%a2%e3%83%ad%e3%83%83%e3%82%af%e3%81%a6%e3%82%99%e3%81%ae-2-%e3%81%a4%e3%81%ae%e6%af%94%e4%be%8b-z-%e3%83%86%e3%82%b9%e3%83%88\/","title":{"rendered":"Sas \u3067 2 \u3064\u306e\u6bd4\u7387 z \u30c6\u30b9\u30c8\u3092\u5b9f\u884c\u3059\u308b\u65b9\u6cd5"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>2 \u3064\u306e\u5272\u5408\u306e Z \u691c\u5b9a\u306f\u3001<\/strong> 2 \u3064\u306e\u6bcd\u96c6\u56e3\u306e\u5272\u5408\u9593\u306b\u7d71\u8a08\u7684\u306b\u6709\u610f\u306a\u5dee\u304c\u3042\u308b\u304b\u3069\u3046\u304b\u3092\u5224\u65ad\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3053\u306e\u691c\u5b9a\u3067\u306f\u6b21\u306e\u5e30\u7121\u4eee\u8aac\u3092\u4f7f\u7528\u3057\u307e\u3059\u3002<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub> :<\/strong> \u03bc <sub>1<\/sub> = \u03bc <sub>2<\/sub> (2 \u3064\u306e\u6bcd\u96c6\u56e3\u306e\u6bd4\u7387\u306f\u7b49\u3057\u3044)<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u5bfe\u7acb\u4eee\u8aac\u306f\u3001\u5de6\u307e\u305f\u306f\u53f3\u306e\u4e21\u5074\u306b\u5b58\u5728\u3059\u308b\u53ef\u80fd\u6027\u304c\u3042\u308a\u307e\u3059\u3002<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>H <sub>1<\/sub> (\u4e21\u5074):<\/strong> \u03c0 <strong><sub>1<\/sub><\/strong> \u2260 \u03c0 <sub>2<\/sub> (2 \u3064\u306e\u6bcd\u96c6\u56e3\u6bd4\u7387\u306f\u7b49\u3057\u304f\u306a\u3044)<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>H <sub>1<\/sub> (\u5de6):<\/strong> \u03c0 <sub>1<\/sub> &lt; \u03c0 <sub>2<\/sub> (\u6bcd\u96c6\u56e3 1 \u306e\u5272\u5408\u306f\u6bcd\u96c6\u56e3 2 \u306e\u5272\u5408\u3088\u308a\u5c0f\u3055\u3044)<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>H <sub>1<\/sub> (\u53f3):<\/strong> \u03c0 <strong><sub>1<\/sub><\/strong> &gt; \u03c0 <sub>2<\/sub> (\u6bcd\u96c6\u56e3 1 \u306e\u5272\u5408\u304c\u6bcd\u96c6\u56e3 2 \u306e\u5272\u5408\u3088\u308a\u5927\u304d\u3044)<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u5f0f\u3092\u4f7f\u7528\u3057\u3066 z \u691c\u5b9a\u7d71\u8a08\u91cf\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>z<\/strong> = (p <sub>1<\/sub> -p <sub>2<\/sub> ) \/ \u221a <span style=\"border-top: 1px solid black;\">p(1-p)(1\/n <sub>1<\/sub> +1\/n <sub>2<\/sub> )<\/span><\/span><\/p>\n<p><span style=\"color: #000000;\">\u3053\u3053\u3067\u3001p <sub>1<\/sub>\u3068 p <sub>2<\/sub>\u306f\u30b5\u30f3\u30d7\u30eb\u306e\u5272\u5408\u3001n <sub>1<\/sub>\u3068 n <sub>2<\/sub>\u306f\u30b5\u30f3\u30d7\u30eb \u30b5\u30a4\u30ba\u3001p \u306f\u6b21\u306e\u3088\u3046\u306b\u8a08\u7b97\u3055\u308c\u305f\u30d7\u30fc\u30eb\u3055\u308c\u305f\u5408\u8a08\u306e\u5272\u5408\u3067\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\">p = (p <sub>1<\/sub> n <sub>1<\/sub> + p <sub>2<\/sub> n <sub>2<\/sub> )\/(n <sub>1<\/sub> + n <sub>2<\/sub> )<\/span><\/p>\n<p> <span style=\"color: #000000;\">Z \u691c\u5b9a\u7d71\u8a08\u91cf\u306b\u5bfe\u5fdc\u3059\u308b p \u5024\u304c\u9078\u629e\u3057\u305f\u6709\u610f\u6c34\u6e96 (\u4e00\u822c\u7684\u306a\u9078\u629e\u80a2\u306f 0.10\u30010.05\u3001\u304a\u3088\u3073 0.01) \u3088\u308a\u5c0f\u3055\u3044\u5834\u5408\u3001\u5e30\u7121\u4eee\u8aac\u3092\u68c4\u5374\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u4f8b\u306f\u3001SAS \u3067 2 \u3064\u306e\u6bd4\u7387\u306e z \u691c\u5b9a\u3092\u5b9f\u884c\u3059\u308b\u65b9\u6cd5\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002<\/span><\/p>\n<h2><strong><span style=\"color: #000000;\">\u4f8b: SAS \u3067\u306e 2 \u3064\u306e\u6bd4\u7387 Z \u30c6\u30b9\u30c8<\/span><\/strong><\/h2>\n<p><span style=\"color: #000000;\">A \u90e1\u306e\u7279\u5b9a\u306e\u6cd5\u5f8b\u3092\u652f\u6301\u3059\u308b\u4f4f\u6c11\u306e\u5272\u5408\u3068 B \u90e1\u306e\u6cd5\u5f8b\u3092\u652f\u6301\u3059\u308b\u4f4f\u6c11\u306e\u5272\u5408\u306b\u9055\u3044\u304c\u3042\u308b\u304b\u3069\u3046\u304b\u3092\u77e5\u308a\u305f\u3044\u3068\u3057\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3053\u308c\u3092\u30c6\u30b9\u30c8\u3059\u308b\u305f\u3081\u306b\u3001\u5404\u90e1\u304b\u3089\u7121\u4f5c\u70ba\u306b 50 \u4eba\u306e\u4f4f\u6c11\u306e\u30b5\u30f3\u30d7\u30eb\u3092\u96c6\u3081\u3001\u4f55\u4eba\u304c\u3053\u306e\u6cd5\u5f8b\u3092\u652f\u6301\u3057\u3066\u3044\u308b\u304b\u3092\u6570\u3048\u307e\u3057\u305f\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u30b3\u30fc\u30c9\u306f\u3001\u5404\u90e1\u306e\u6cd5\u5f8b\u3092\u652f\u6301\u3059\u308b\u4f4f\u6c11\u306e\u6570\u3092\u8981\u7d04\u3059\u308b\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\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: #008000;\">\/*create dataset*\/\n<\/span><span style=\"color: #800080;\">data<\/span> my_data;\n    <span style=\"color: #3366ff;\">input<\/span> county $status $count;\n    <span style=\"color: #3366ff;\">datalines<\/span> ;\nA Bracket 34\nA Reject 16\nB Bracket 29\nB Reject 21\n;\n<span style=\"color: #800080;\">run<\/span> ;\n\n<span style=\"color: #008000;\">\/*view dataset*\/\n<\/span><span style=\"color: #800080;\">proc print<\/span> <span style=\"color: #3366ff;\">data<\/span> =my_data;\n<\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-35419 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/zsas1.png\" alt=\"\" width=\"256\" height=\"152\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u6b21\u306b\u3001 <strong>Riskdiff (equal var = null)<\/strong>\u30aa\u30d7\u30b7\u30e7\u30f3\u3092\u6307\u5b9a\u3057\u305f<strong>PROC FREQ<\/strong>\u30b9\u30c6\u30fc\u30c8\u30e1\u30f3\u30c8\u3092\u4f7f\u7528\u3057\u3066\u30012 \u3064\u306e\u6bd4\u7387\u306e z \u691c\u5b9a\u3092\u5b9f\u884c\u3067\u304d\u307e\u3059\u3002<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><strong><span style=\"color: #008000;\">\/*perform two proportion z-test*\/\n<\/span><span style=\"color: #800080;\">proc freq<\/span> <span style=\"color: #3366ff;\">data<\/span> =my_data;\n    <span style=\"color: #3366ff;\">weightcount<\/span> ;\n    county <span style=\"color: #3366ff;\">tables<\/span> * status \/ <span style=\"color: #3366ff;\">riskdiff<\/span> ( <span style=\"color: #3366ff;\">equal var<\/span> = null);\n<span style=\"color: #800080;\">run<\/span> ;<\/strong><\/span> <\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-35420\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/zsas2.png\" alt=\"SAS \u306e 2 \u3064\u306e\u6bd4\u7387\u306e z \u691c\u5b9a\" width=\"450\" height=\"728\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u7d50\u679c\u30c6\u30fc\u30d6\u30eb\u306e<strong>\u30ea\u30b9\u30af\u5dee\u7570\u30c6\u30b9\u30c8<\/strong>\u304b\u3089\u3001\u6b21\u306e\u60c5\u5831\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Z \u691c\u5b9a\u7d71\u8a08\u91cf: <strong>-1.0356<\/strong><\/span><\/li>\n<li><span style=\"color: #000000;\">\u4e21\u5074 p \u5024: <strong>0.3004<\/strong><\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u3053\u306e\u7279\u5b9a\u306e 2 \u3064\u306e\u6bd4\u7387\u306e Z \u691c\u5b9a\u3067\u306f\u3001\u6b21\u306e\u4eee\u5b9a\u304c\u4f7f\u7528\u3055\u308c\u307e\u3057\u305f\u3002<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub> :<\/strong> \u03c0 <strong><sub>1<\/sub><\/strong> = \u03c0 <sub>2<\/sub> (2 \u3064\u306e\u6bcd\u96c6\u56e3\u306e\u6bd4\u7387\u306f\u7b49\u3057\u3044)<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>H <sub>1<\/sub> :<\/strong> \u03c0 <strong><sub>1<\/sub><\/strong> \u2260 \u03c0 <sub>2<\/sub> (2 \u3064\u306e\u6bcd\u96c6\u56e3\u6bd4\u7387\u306f\u7b49\u3057\u304f\u3042\u308a\u307e\u305b\u3093)<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u51fa\u529b\u306e p \u5024\u306f 0.05 \u672a\u6e80\u3067\u306f\u306a\u3044\u305f\u3081\u3001\u5e30\u7121\u4eee\u8aac\u3092\u68c4\u5374\u3067\u304d\u307e\u305b\u3093\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3053\u308c\u306f\u3001\u3053\u306e\u6cd5\u5f8b\u3092\u652f\u6301\u3059\u308b\u4f4f\u6c11\u306e\u5272\u5408\u304c\u4e21\u90e1\u3067\u7570\u306a\u308b\u3068\u8a00\u3048\u308b\u5341\u5206\u306a\u8a3c\u62e0\u304c\u306a\u3044\u3053\u3068\u3092\u610f\u5473\u3057\u307e\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\u3001SAS \u3067\u4ed6\u306e\u4e00\u822c\u7684\u306a\u7d71\u8a08\u30c6\u30b9\u30c8\u3092\u5b9f\u884c\u3059\u308b\u65b9\u6cd5\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/ja\/\u30a8\u30a2\u30ed\u30c3\u30af\u5185\u306e-t-\u30c6\u30b9\u30c8\u30b5\u30f3\u30d5\u309a\u30eb\/\" target=\"_blank\" rel=\"noopener\">SAS \u3067 1 \u30b5\u30f3\u30d7\u30eb\u306e t \u691c\u5b9a\u3092\u5b9f\u884c\u3059\u308b\u65b9\u6cd5<\/a><br \/>SAS \u3067 2 \u30b5\u30f3\u30d7\u30eb\u306e t \u691c\u5b9a\u3092\u5b9f\u884c\u3059\u308b\u65b9\u6cd5<br \/><a href=\"https:\/\/statorials.org\/ja\/sas\u306e\u5bfe\u5fdc\u306e\u3042\u308bt\u691c\u5b9a\/\" target=\"_blank\" rel=\"noopener\">SAS \u3067\u5bfe\u5fdc\u306e\u3042\u308b\u30b5\u30f3\u30d7\u30eb\u306e t \u691c\u5b9a\u3092\u5b9f\u884c\u3059\u308b\u65b9\u6cd5<\/a><\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>2 \u3064\u306e\u5272\u5408\u306e Z \u691c\u5b9a\u306f\u3001 2 \u3064\u306e\u6bcd\u96c6\u56e3\u306e\u5272\u5408\u9593\u306b\u7d71\u8a08\u7684\u306b\u6709\u610f\u306a\u5dee\u304c\u3042\u308b\u304b\u3069\u3046\u304b\u3092\u5224\u65ad\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002 \u3053\u306e\u691c\u5b9a\u3067\u306f\u6b21\u306e\u5e30\u7121\u4eee\u8aac\u3092\u4f7f\u7528\u3057\u307e\u3059\u3002 H 0 : \u03bc 1 = \u03bc 2 (2 \u3064\u306e\u6bcd\u96c6\u56e3\u306e\u6bd4\u7387\u306f\u7b49\u3057\u3044) [&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-4529","post","type-post","status-publish","format-standard","hentry","category-16"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>SAS \u3067 2 \u3064\u306e\u6bd4\u7387 Z 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