{"id":1449,"date":"2018-07-01T10:52:55","date_gmt":"2018-07-01T01:52:55","guid":{"rendered":"https:\/\/plaza.umin.ac.jp\/~OIO\/?p=1449"},"modified":"2018-07-04T12:11:10","modified_gmt":"2018-07-04T03:11:10","slug":"sample-size-calculation-for-a-classical-case-control-study","status":"publish","type":"post","link":"https:\/\/plaza.umin.ac.jp\/~OIO\/?p=1449","title":{"rendered":"Sample size calculation for a classical case-control study"},"content":{"rendered":"

\u30b1\u30fc\u30b9\u30b3\u30f3\u30c8\u30ed\u30fc\u30eb\u30b9\u30bf\u30c7\u30a3\u306e\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u306e\u898b\u7a4d\u3082\u308a<\/h1>\n

\u81e8\u5e8a\u8a66\u9a13\u3060\u3068\u3001\u8a66\u9a13\u306b\u53c2\u52a0\u3059\u308b\u88ab\u9a13\u8005\u3092\u30ea\u30af\u30eb\u30fc\u30c8\u3059\u308b\u306e\u306f\u9aa8\u304c\u6298\u308c\u308b\u4ed5\u4e8b\u3067\u3059\u306e\u3067\u3001\u5fc5\u8981\u6700\u4f4e\u9650\u306e\u88ab\u9a13\u8005\u3067\u6b63\u78ba\u306a\u7d50\u679c\u3092\u5f97\u305f\u3044\u3068\u3044\u3046\u6b32\u6c42\u306f\u5927\u304d\u304f\u3001\u300c\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u300d\u306e\u6b63\u78ba\u306a\u898b\u7a4d\u3082\u308a\u304c\u6c42\u3081\u3089\u308c\u307e\u3059\u3002\u30b1\u30fc\u30b9\u30b3\u30f3\u30c8\u30ed\u30fc\u30eb\u30b9\u30bf\u30c7\u30a3\u3092\u3059\u308b\u5834\u5408\u3082\u3001\u6700\u7d42\u7684\u306b\u5143\u8cc7\u6599\u3092\u78ba\u8a8d\u3057\u305f\u308a\u3001\u65b0\u305f\u306b\u30c7\u30fc\u30bf\u3092\u5165\u624b\u3057\u305f\u308a\u3059\u308b\u624b\u9593\u306f\u5c11\u306a\u3044\u65b9\u304c\u826f\u3044\u306e\u3067\u3001\u7cbe\u5bc6\u306a\u898b\u7a4d\u3082\u308a\u304c\u51fa\u6765\u305f\u65b9\u304c\u30d9\u30bf\u30fc\u3067\u3059\u3002\u3057\u304b\u3057\u3001\u65b0\u305f\u306b\u30c7\u30fc\u30bf\u3092\u5f97\u308b\u3053\u3068\u3092\u60f3\u5b9a\u3057\u3066\u3044\u306a\u3044\u30c7\u30fc\u30bf\u30d9\u30fc\u30b9\u7814\u7a76\u3067\u306f\u3001\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u3092\u898b\u7a4d\u3082\u308b\u8981\u6c42\u306f\u3069\u306e\u3042\u305f\u308a\u306b\u767a\u751f\u3059\u308b\u3067\u3057\u3087\u3046\u304b\uff1f\u30c7\u30fc\u30bf\u30d9\u30fc\u30b9\u3092\u30d9\u30f3\u30c0\u30fc\u304b\u3089\u8cfc\u5165\u3057\u305f\u308a\u3001\u89e3\u6790\u3092CRO\u306b\u4f9d\u983c\u3059\u308b\u969b\u306b\u76ee\u7684\u306e\u7d50\u679c\u306b\u30a2\u30d7\u30ed\u30fc\u30c1\u3067\u304d\u308b\u3060\u3051\u306e\u60c5\u5831\u3092\u6301\u3063\u3066\u3044\u308b\u304b\u3069\u3046\u304b\u3092\u898b\u7a4d\u3082\u308b\u5834\u5408\u306b\u306f\u6709\u7528\u304b\u3082\u3057\u308c\u307e\u305b\u3093\u3002\u307e\u3041\u3001\u6d41\u884c\u3060\u3068\u3044\u3046\u3053\u3068\u3067\u5049\u3044\u4eba\u304b\u3089\u306e\u53f7\u4ee4\u3067\u52d5\u3044\u3066\u3044\u308b\u3088\u3046\u306a\u591a\u304f\u306e\u4eba\u306f\u3001\u4f55\u3089\u304b\u306e\u7d50\u8ad6\u306b\u30a2\u30d7\u30ed\u30fc\u30c1\u3057\u305f\u3044\u306e\u3067\u306f\u306a\u304f\u300c\u30a2\u30d7\u30ed\u30fc\u30c1\u3057\u3066\u3044\u308b\u59ff\u52e2\u3092\u898b\u305b\u308b\u300d\u3068\u8a00\u3046\u3001\u884c\u52d5\u8a08\u753b\u3042\u308a\u304d\u3067\u52d5\u3044\u3066\u3044\u308b\u307f\u305f\u3044\u3067\u3059\u306e\u3067\u3001\u5f53\u8a72\u30d9\u30f3\u30c0\u30fc\u306e\u30c7\u30fc\u30bf\u306b\u306f\u3001\u30ea\u30b5\u30fc\u30c1\u3067\u660e\u3089\u304b\u306b\u3057\u305f\u3044\u7d50\u8ad6\u306b\u5230\u9054\u3067\u304d\u308b\u3088\u3046\u306a\u3001\u5341\u5206\u306a\u30c7\u30fc\u30bf\u304c\u542b\u307e\u308c\u306a\u3044\u3053\u3068\u304c\u8cfc\u5165\u524d\u3042\u308b\u3044\u306f\u89e3\u6790\u306e\u767a\u6ce8\u524d\u306b\u660e\u3089\u304b\u306b\u306a\u3063\u305f\u3068\u3057\u3066\u3001\u982d\u3092\u5207\u308a\u66ff\u3048\u308b\u304b\u305d\u306e\u307e\u307e\u7a81\u304d\u9032\u3080\u304b\u306f\u76ee\u306b\u898b\u3048\u3066\u3044\u307e\u3059\u304c\u3002<\/p>\n

\u305d\u308c\u306f\u3055\u3066\u304a\u304d\u3001\u5358\u7d14\u306b\u30b1\u30fc\u30b9\u304a\u3088\u3073\u30b3\u30f3\u30c8\u30ed\u30fc\u30eb\u3067\u305d\u308c\u305e\u308c\u3001\u4f55\u4eba\u4e2d\u4f55\u4eba\u304c\u88ab\u7591\u85ac\u306b\u66dd\u9732\u3055\u308c\u3066\u3044\u3066\u3001\u305d\u306e\u30aa\u30c3\u30ba\u6bd4\u3092\u6c42\u3081\u308b\u3068\u3044\u3046\u3088\u3046\u306a\u30c7\u30b6\u30a4\u30f3\u3067\u306e\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u306e\u6c42\u3081\u65b9\u304c\u3042\u308a\u307e\u3059\u306e\u3067\u3001\u6b21\u306e\u8cc7\u6599\u306e\u30c7\u30fc\u30bf\u3092\u30c8\u30ec\u30fc\u30b9\u3057\u3066\u307f\u307e\u3059\u3002<\/p>\n

Woodward M (2005). Epidemiology Study Design and Data Analysis. Chapman & Hall\/CRC, New York, pp. 381 – 426.<\/p>\n

(p. 412) A case-control study of the relationship between smoking and CHD is planned. A sample of men with newly diagnosed CHD will be compared for smoking status with a sample of controls. Assuming an equal number of cases and controls, how many study subject are required to detect an odds ratio of 2.0 with 0.90 power using a two-sided 0.05 test? Previous surveys have shown that around 0.30 of males without CHD are smoker.<\/p>\n

\u4e8b\u524d\u306e\u898b\u7a4d\u3082\u308a\u306b\u5fc5\u8981\u306a\u306e\u306f\u3001odds ratio 2.0, power 0.90, two-sided 0.05 test\u3068\u3044\u3046\u3001\u7814\u7a76\u8005\u304c\u8a2d\u5b9a\u3059\u308b\u30d1\u30e9\u30e1\u30fc\u30bf\u3068\u3001\u5148\u884c\u7814\u7a76\u304b\u3089\u5f97\u3066\u304a\u304f\u3079\u304d\u80cc\u666f\u306e\u60c5\u5831\u3068\u3057\u3066\u300c\u51a0\u52d5\u8108\u75be\u60a3\u306b\u304b\u304b\u3063\u3066\u3044\u306a\u3044\u7537\u6027\u306e30%\u304c\u30b9\u30e2\u30fc\u30ab\u30fc\u3060\u300d\u3068\u3044\u3046\u3001\u30b3\u30f3\u30c8\u30ed\u30fc\u30eb\u7fa4\u306e\u66dd\u9732\u983b\u5ea6\u306b\u76f8\u5f53\u3059\u308b\u60c5\u5831\u3067\u3059\u3002\u3042\u3068\u3001\u30b3\u30f3\u30c8\u30ed\u30fc\u30eb\u3092\u9078\u3076\u969b\u306f\u30de\u30c3\u30c1\u30f3\u30b0\u306f\u884c\u308f\u306a\u3044\u3067\u3001\u30b1\u30fc\u30b9\u3068\uff11\uff1a\uff11\u3068\u306a\u308b\u4eba\u6570\u306b\u3059\u308b\u3068\u3057\u3066\u3044\u307e\u3059\u3002\u3053\u3053\u3067\u8a2d\u5b9a\u3057\u3066\u3044\u308b\u30aa\u30c3\u30ba\u6bd4\u306f\u3001\u300c\u30aa\u30c3\u30ba\u6bd42.0\u4ee5\u4e0a\u3060\u3068\u30ea\u30b9\u30af\u3068\u3057\u3066\u8b66\u544a\u3059\u308b\u4fa1\u5024\u304c\u3042\u308b\u300d\u3068\u7814\u7a76\u8005\u304c\u601d\u3044\u8fbc\u3080\u3088\u3046\u306a\u4efb\u610f\u306e\u6570\u5b57\u3067\u3001\u57fa\u6e96\u304c\u3042\u308b\u308f\u3051\u3067\u306f\u306a\u3044\u3067\u3059\u3002\u3053\u308c\u3092\u3001\u8a8d\u8b58\u3057\u3066\u3044\u308b\u304b\u3069\u3046\u304b\u3067\u3001\u7d50\u679c\u304c\u51fa\u305f\u969b\u306b\uff08\u7279\u306b\u5dee\u304c\u3064\u304b\u306a\u304b\u3063\u305f\u6642\u306b\uff09\u30c7\u30fc\u30bf\u306e\u89e3\u91c8\u306e\u66f8\u304d\u65b9\u304c\u5927\u304d\u304f\u5909\u308f\u308a\u307e\u3059\u3002<\/p>\n

> epi.ccsize(OR = 2.0, p0 = 0.30, n = NA, power = 0.90, r = 1, rho = 0,
\n+ design = 1, sided.test = 2, conf.level = 0.95, method = “unmatched”,
\n+ fleiss = FALSE)
\n$n.total
\n[1] 376<\/p>\n

$n.case
\n[1] 188<\/p>\n

$n.control
\n[1] 188<\/p><\/blockquote>\n

\u7b54\u3048\u306f
\nA total of 376 men need to be sampled: 188 cases and 188 controls\u3060\u305d\u3046\u3067\u3059\u306e\u3067\u3001\u4e00\u5fdc\u3001\u6570\u5024\u306f\u6b63\u89e3\u3067\u3059\u3002<\/p>\n

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> epi.ccsize(OR = 2.0, p0 = 0.01, n = NA, power = 0.90, r = 1, rho = 0,
\n+ design = 1, sided.test = 2, conf.level = 0.95, method = “unmatched”,
\n+ fleiss = FALSE)
\n$n.total
\n[1] 6418<\/p>\n

$n.case
\n[1] 3209<\/p>\n

$n.control
\n[1] 3209<\/p><\/blockquote>\n

6418\u4f8b\u306e\u60c5\u5831\u3092\u53ce\u96c6\u3059\u308b\u5fc5\u8981\u304c\u51fa\u3066\u304d\u307e\u3059\u3002\u3053\u306e\u304f\u3089\u3044\u306e\u6570\u306b\u306a\u308b\u3068\u3001\u3069\u306e\u3088\u3046\u306b\u30c7\u30fc\u30bf\u3092\u96c6\u3081\u308b\u306b\u3057\u3066\u3082\u81ea\u524d\u3067\u30c7\u30fc\u30bf\u3092\u6e96\u5099\u3057\u3066\u96c6\u8a08\u3059\u308b\u306e\u306f\u5927\u5909\u305d\u3046\u3067\u3059\u3002\u7d44\u7e54\u3060\u3063\u3066\u884c\u52d5\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u305d\u3046\u3067\u3059\u3002\u3055\u3089\u306b\u3001\u80cc\u666f\u306e\u66dd\u9732\u30920.1%\u306b\u4e0b\u3052\u308b\u3068\u3001\u6b21\u306e\u3088\u3046\u306b6\u4e07\u4eba\u8d85\u3048\u306e\u30b5\u30f3\u30d7\u30eb\u306e\u53ce\u96c6\u304c\u5fc5\u8981\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n

> epi.ccsize(OR = 2.0, p0 = 0.001, n = NA, power = 0.90, r = 1, rho = 0,
\n+ design = 1, sided.test = 2, conf.level = 0.95, method = “unmatched”,
\n+ fleiss = FALSE)
\n$n.total
\n[1] 63158<\/p>\n

$n.case
\n[1] 31579<\/p>\n

$n.control
\n[1] 31579<\/p><\/blockquote>\n

\u526f\u4f5c\u7528\u3092\u7814\u7a76\u5bfe\u8c61\u306b\u3057\u3066\u3044\u308b\u3068\u3001\u3053\u306ecase\u306e3\u4e07\u4eba\u8d85\u3048\u306e\u526f\u4f5c\u7528\u304c\u51fa\u3066\u3044\u306a\u3044\u3068\u3001\u7d50\u8ad6\u304c\u51fa\u305b\u306a\u3044\u3088\u3046\u306b\u898b\u3048\u307e\u3059\u3002\u3064\u307e\u308a\u3001\u526f\u4f5c\u7528\u306e\u4f8b\u306b\u3042\u3066\u306f\u3081\u307e\u3059\u3068\u3001\uff13\u4e07\u4eba\u4ee5\u4e0a\u306e\u60a3\u8005\u3055\u3093\u304c\u526f\u4f5c\u7528\u306b\u306a\u308b\u3068\u3044\u3046\u3001\u7d50\u69cb\u306a\u5927\u60e8\u4e8b\u306b\u306a\u3063\u3066\u304b\u3089\u3057\u304b\u3053\u306e\u65b9\u6cd5\u3067\u7d50\u8ad6\u304c\u51fa\u305b\u306a\u3044\u3068\u3044\u3046\u3001\u60b2\u60e8\u306a\u624b\u6cd5\u3067\u3059\u3002\u3069\u3053\u306b\u9593\u9055\u3044\u304c\u3042\u308b\u306e\u3067\u3057\u3087\u3046\u304b\u3002\u304a\u305d\u3089\u304f\u305d\u308c\u306f\u3001\u6709\u540d\u306a\u30ec\u30f3\u30c4\u306e\u7814\u7a76\u3067\u306f\u7d50\u679c\u3068\u3057\u3066\u4e0a\u8a18\u306e\u4f8b\u3088\u308a\u304b\u306a\u308a\u5927\u304d\u306a\u6570\u5b57\u306b\u306a\u3063\u3066\u3044\u308b\u30d1\u30e9\u30e1\u30fc\u30bf\u3067\u3057\u3087\u3046\u3002\u300c\u30aa\u30c3\u30ba\u6bd4\u304c20\uff5e50\u306b\u306a\u308b\u304f\u3089\u3044\u306e\u672c\u5f53\u306e\u5f37\u3044\u30ea\u30b9\u30af\u304b\u3069\u3046\u304b\u300d\u3092\u691c\u8a3c\u3057\u305f\u3044\u3068\u3044\u3046\u3001\u30ea\u30b5\u30fc\u30c1\u30af\u30a8\u30b9\u30c1\u30e7\u30f3\u3092\u7acb\u3066\u308b\u306e\u3067\u3059\u3002<\/p>\n

\u3082\u3046\u4e00\u70b9\u3067\u304d\u308b\u4e8b\u3084\u308b\u3079\u304d\u4e8b\u306f\u3001\u80cc\u666f\u3067\u306e\u66dd\u9732\u983b\u5ea6\u3092\u4e0a\u3052\u308b\u305f\u3081\u306b\u3001\u5bfe\u7167\u96c6\u56e3\u3092\u7d5e\u308a\u8fbc\u3080\u3053\u3068\u3082\u3067\u304d\u305d\u3046\u3067\u3059\u3002\u7d50\u8ad6\u90e8\u5206\u3067\u8ff0\u3079\u305f\u3044\u4e00\u822c\u8ad6\u3068\u306e\u517c\u306d\u5408\u3044\u306b\u3082\u306a\u308a\u307e\u3059\u304c\u3001\u591a\u304f\u306e\u5834\u5408\u4e16\u306e\u4e2d\u4e00\u822c\u306e\u96c6\u56e3\u304b\u3089\u30b5\u30f3\u30d7\u30eb\u3092\u5f97\u308b\u5fc5\u8981\u306f\u306a\u304f\u3001\u6c17\u306b\u306a\u308b\u533b\u85ac\u54c1\u304c\u4f7f\u7528\u3055\u308c\u308b\u3088\u3046\u306a\u7279\u5b9a\u306e\u57fa\u790e\u75be\u60a3\u306b\u304b\u304b\u3063\u3066\u3044\u308b\u4eba\u306e\u4e2d\u3067\u306e\u66dd\u9732\u3067\uff50\uff10\u3092\u8a2d\u5b9a\u3059\u308c\u3070\u3001\u8abf\u67fb\u5bfe\u8c61\u6570\u3092\u5c11\u306a\u304f\u898b\u7a4d\u3082\u308b\u3053\u3068\u3082\u3067\u304d\u305d\u3046\u3067\u3059\u3002<\/p>\n

Don’t forget to load a library prior to the above-mentioned scrips.<\/p>\n

library(epiR)<\/p><\/blockquote>\n","protected":false},"excerpt":{"rendered":"

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