install.packages<\/span>(<\/span>\"irr\"<\/span>)<\/span>\n<\/code><\/pre>\n\n\n\n\u547c\u3073\u51fa\u3057\u3066\u4f7f\u3048\u308b\u3088\u3046\u306b\u3059\u308b\u3002<\/p>\n\n\n\n
\u3053\u308c\u3067\u6e96\u5099OK\u3002<\/p>\n\n\n\n
library<\/span>(<\/span>irr)<\/span>\n<\/code><\/pre>\n\n\n\n\u4f8b\u3068\u3057\u3066irr\u30d1\u30c3\u30b1\u30fc\u30b8\u306b\u542b\u307e\u308c\u308bdiagnoses\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u3092\u4f7f\u3046\u3002\u3053\u308c<\/p>\n\n\n\n
\u306f6\u4eba\u306e\u8a55\u4fa1\u8005\u304c30\u540d\u306e\u60a3\u8005\u3055\u3093\u3092\u8a3a\u5bdf\u3057\u3066\u8a3a\u65ad\u3092\u3064\u3051\u305f\u3082\u306e\u3002<\/p>\n\n\n\n
\u4eca\u56de\u306eCohen’s Kappa\u306f\u3001\u4e8c\u540d\u306e\u8a55\u4fa1\u8005\u306e\u4e00\u81f4\u5ea6\u3092\u898b\u308b\u65b9\u6cd5\u306a\u306e\u3067\u30011\u756a\u76ee\u30682\u756a\u76ee\u306e\u8a55\u4fa1\u8005\u306e\u8a55\u4fa1\u30c7\u30fc\u30bf\u3092\u4f7f\u3046\u3053\u3068\u306b\u3059\u308b\u3002<\/p>\n\n\n\n
><\/span> diagnoses[,<\/span>1<\/span>:<\/span>2<\/span>]<\/span>\n rater1 rater2\n1<\/span> 4.<\/span> Neurosis 4.<\/span> Neurosis\n2<\/span> 2.<\/span> Personality Disorder 2.<\/span> Personality Disorder\n3<\/span> 2.<\/span> Personality Disorder 3.<\/span> Schizophrenia\n4<\/span> 5.<\/span> Other 5.<\/span> Other\n5<\/span> 2.<\/span> Personality Disorder 2.<\/span> Personality Disorder\n6<\/span> 1.<\/span> Depression 1.<\/span> Depression\n7<\/span> 3.<\/span> Schizophrenia 3.<\/span> Schizophrenia\n8<\/span> 1.<\/span> Depression 1.<\/span> Depression\n9<\/span> 1.<\/span> Depression 1.<\/span> Depression\n10<\/span> 5.<\/span> Other 5.<\/span> Other\n11<\/span> 1.<\/span> Depression 4.<\/span> Neurosis\n12<\/span> 1.<\/span> Depression 2.<\/span> Personality Disorder\n13<\/span> 2.<\/span> Personality Disorder 2.<\/span> Personality Disorder\n14<\/span> 1.<\/span> Depression 4.<\/span> Neurosis\n15<\/span> 2.<\/span> Personality Disorder 2.<\/span> Personality Disorder\n16<\/span> 3.<\/span> Schizophrenia 3.<\/span> Schizophrenia\n17<\/span> 1.<\/span> Depression 1.<\/span> Depression\n18<\/span> 1.<\/span> Depression 1.<\/span> Depression\n19<\/span> 2.<\/span> Personality Disorder 2.<\/span> Personality Disorder\n20<\/span> 1.<\/span> Depression 3.<\/span> Schizophrenia\n21<\/span> 5.<\/span> Other 5.<\/span> Other\n22<\/span> 2.<\/span> Personality Disorder 4.<\/span> Neurosis\n23<\/span> 2.<\/span> Personality Disorder 2.<\/span> Personality Disorder\n24<\/span> 1.<\/span> Depression 1.<\/span> Depression\n25<\/span> 1.<\/span> Depression 4.<\/span> Neurosis\n26<\/span> 2.<\/span> Personality Disorder 2.<\/span> Personality Disorder\n27<\/span> 1.<\/span> Depression 1.<\/span> Depression\n28<\/span> 2.<\/span> Personality Disorder 2.<\/span> Personality Disorder\n29<\/span> 1.<\/span> Depression 3.<\/span> Schizophrenia\n30<\/span> 5.<\/span> Other 5.<\/span> Other\n<\/code><\/pre>\n\n\n\n\u8a55\u4fa1\u80051\u30682\u306e\u8a55\u4fa1\u3092\u8868\u306b\u307e\u3068\u3081\u308b\u3068\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308b\u3002<\/p>\n\n\n\n
\u5bfe\u89d2\u7dda\u4e0a\u306e\u6570\u5b57\u304c\u8a3a\u65ad\u304c\u4e00\u81f4\u3057\u3066\u3044\u308b\u4eba\u6570\u3060\u3002<\/p>\n\n\n\n
\u5fc5\u305a\u3057\u3082\u5bfe\u89d2\u7dda\u4e0a\u3060\u3051\u3067\u306f\u306a\u3044\u3053\u3068\u304c\u308f\u304b\u308b\u3002<\/p>\n\n\n\n
\u3064\u307e\u308a\u3001\u8a3a\u65ad\u304c\u4e00\u81f4\u3057\u3066\u3044\u306a\u3044\u60a3\u8005\u3055\u3093\u304c\u3044\u308b\u3053\u3068\u304c\u308f\u304b\u308b\u3002<\/p>\n\n\n\n
> (tab12 <- table(diagnoses[,1:2]))\n rater2\nrater1 1. Depression 2. Personality Disorder 3. Schizophrenia 4. Neurosis 5. Other\n 1. Depression 7 1 2 3 0\n 2. Personality Disorder 0 8 1 1 0\n 3. Schizophrenia 0 0 2 0 0\n 4. Neurosis 0 0 0 1 0\n 5. Other 0 0 0 0 4<\/code><\/pre>\n\n\n\n\u30ab\u30c3\u30d1\u4fc2\u6570\u3092\u8a08\u7b97\u3057\u3066\u307f\u308b\u30680.651\u3068\u8a08\u7b97\u3055\u308c\u305f\u3002<\/p>\n\n\n\n
kappa2()\u304c\u672c\u4f53\u306e\u95a2\u6570\u3067\u3001()\u5185\u306b\u4e8c\u4eba\u306e\u8a55\u4fa1\u8005\u306e\u8a55\u4fa1\u30c7\u30fc\u30bf\u3092\u6295\u5165\u3059\u308c\u3070\u8a08\u7b97\u7d42\u4e86\u3002<\/p>\n\n\n\n
> kappa2(diagnoses[,1:2])\n Cohen's Kappa for 2 Raters (Weights: unweighted)\n\n Subjects = 30 \n Raters = 2 \n Kappa = 0.651 \n\n z = 7 \n p-value = 2.63e-12 <\/code><\/pre>\n\n\n\n0.651\u304c\u3069\u306e\u3088\u3046\u306a\u610f\u5473\u3092\u6301\u3064\u304b\u306f\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u8a18\u8ff0\u3092\u53c2\u8003\u306b\u3057\u3066\u3001\u5224\u65ad\u3059\u308b\u3002<\/p>\n\n\n\n
\u4eca\u56de\u306e\u5834\u5408\u306f\u30010.61-0.80\u306e\u9593\u306a\u306e\u3067substantial\uff08\u304b\u306a\u308a\u4e00\u81f4\u3057\u3066\u3044\u308b\uff09\u3068\u5224\u65ad\u3067\u304d\u308b\u3002<\/p>\n\n\n\n
\nNonetheless, magnitude guidelines have appeared in the literature. Perhaps the first was Landis and Koch,[13] who characterized values < 0 as indicating no agreement and 0\u20130.20 as slight, 0.21\u20130.40 as fair, 0.41\u20130.60 as moderate, 0.61\u20130.80 as substantial, and 0.81\u20131 as almost perfect agreement<\/span>.<\/p>\n<\/blockquote>\n\n\n\n\u51fa\u5178\uff1ahttps:\/\/en.wikipedia.org\/wiki\/Cohen%27s_kappa#Significance_and_magnitude<\/a>
<\/p>\n\n\n\n\u65e5\u672c\u8a9e\u306b\u3057\u3066\u307f\u308b\u3068\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u611f\u3058\u306b\u306a\u308b\u3002<\/p>\n\n\n\n
\n- < 0 as indicating no agreement \uff08\u4e00\u81f4\u3057\u3066\u3044\u306a\u3044\uff09<\/li>\n\n\n\n
- 0\u20130.20 as slight\uff08\u308f\u305a\u304b\u306b\u4e00\u81f4\u3057\u3066\u3044\u308b\uff09<\/li>\n\n\n\n
- 0.21\u20130.40 as fair\uff08\u307e\u3042\u307e\u3042\u4e00\u81f4\u3057\u3066\u3044\u308b\uff09<\/li>\n\n\n\n
- 0.41\u20130.60 as moderate\uff08\u4e2d\u7a0b\u5ea6\u306b\u4e00\u81f4\u3057\u3066\u3044\u308b\uff09<\/li>\n\n\n\n
- 0.61\u20130.80 as substantial\uff08\u304b\u306a\u308a\u4e00\u81f4\u3057\u3066\u3044\u308b\uff09<\/li>\n\n\n\n
- 0.81\u20131 as almost perfect agreement\uff08\u307b\u3068\u3093\u3069\u5b8c\u74a7\u306b\u4e00\u81f4\u3057\u3066\u3044\u308b\uff09<\/li>\n<\/ul>\n\n\n\n
Step by step\u3067\u8a08\u7b97\u3059\u308b\u306a\u3089\u3069\u3046\u3084\u308b\u304b<\/h2>\n\n\n\n
\u30ab\u30c3\u30d1\u4fc2\u6570\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8a08\u7b97\u3059\u308b\u3002<\/p>\n\n\n\n
$$ \\kappa = \\frac{p_o – p_e}{1 – p_e} $$<\/p>\n\n\n\n\n\n\n\n
$ p_o $ \u306f\u5b9f\u969b\u306b\u4e00\u81f4\u3057\u3066\u3044\u308b\u8a55\u4fa1\u306e\u5272\u5408\uff08\u5bfe\u89d2\u7dda\u4e0a\u306e\u6570\u5024\u306e\u5408\u8a08\u3092\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u3067\u5272\u308b\uff09\u3001$ p_e $ \u306f\u4e00\u81f4\u3059\u308b\u8a55\u4fa1\u306e\u671f\u5f85\u5024\u3092\u5272\u5408\u3067\u8868\u3057\u305f\u3082\u306e\u3067\u3042\u308b\u3002<\/p>\n\n\n\n
$ p_e $ \u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8a08\u7b97\u3059\u308b\u3002<\/p>\n\n\n\n
$$ p_e = \\frac{1}{N^2} \\sum_k n_{k1} n_{k2} $$<\/p>\n\n\n\n
\u3064\u307e\u308a k \u756a\u76ee\u306e\u30ab\u30c6\u30b4\u30ea\u3068\u5224\u65ad\u3057\u305f\u8a55\u4fa1\u306e\u6570\u3092\u8a55\u4fa1\u80051\u30682\u305d\u308c\u305e\u308c\u306e\u5408\u8a08\u3092\u6c42\u3081\u639b\u3051\u5408\u308f\u305b\u548c\u3092\u8a08\u7b97\u3059\u308b\u3002<\/p>\n\n\n\n
\u548c\u3092\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba N \u306e2 \u4e57\u3067\u5272\u308b\u3068\u7b97\u51fa\u3055\u308c\u308b\u3002<\/p>\n\n\n\n\n\n\n\n
\u8a08\u7b97\u306e\u30b9\u30af\u30ea\u30d7\u30c8\u306f\u4ee5\u4e0b\u306e\u901a\u308a\u3002<\/p>\n\n\n\n
\u671f\u5f85\u5024\u306f5\u56de\u540c\u3058\u4f5c\u696d\u3092\u3059\u308b\u306e\u3067for\u6587\u3092\u4f7f\u3063\u305f\u3002<\/p>\n\n\n\n
(po <- sum(diag(tab12))\/sum(tab12))\npe.num <- rep(0,5)\nfor(i in 1:5){\n pe.num[i] <- sum(tab12[i,])*sum(tab12[,i])\n}\npe.num\n(pe <- sum(pe.num)\/sum(tab12)^2)\n(kappa <- (po-pe)\/(1-pe))<\/code><\/pre>\n\n\n\n$ p_o $ \u306f0.733\u3001$ p_e $ \u306f0.236\u3068\u8a08\u7b97\u3055\u308c\u3001kappa\u306f\u4e0a\u8a18\u3068\u540c\u69d8\u306b0.651 \u3068\u8a08\u7b97\u3055\u308c\u305f\u3002<\/p>\n\n\n\n
><\/span> (<\/span>po <-<\/span> sum<\/span>(<\/span>diag<\/span>(<\/span>tab12))<\/span>\/<\/span>sum<\/span>(<\/span>tab12))<\/span>\n[<\/span>1<\/span>]<\/span> 0.7333333<\/span>\n><\/span> (<\/span>pe <-<\/span> sum<\/span>(<\/span>pe.num)<\/span>\/<\/span>sum<\/span>(<\/span>tab12)<\/span>^<\/span>2<\/span>)<\/span>\n[<\/span>1<\/span>]<\/span> 0.2355556<\/span>\n><\/span> (<\/span>kappa <-<\/span> (<\/span>po-<\/span>pe)<\/span>\/<\/span>(<\/span>1<\/span>-<\/span>pe))<\/span>\n[<\/span>1<\/span>]<\/span> 0.6511628<\/span>\n<\/code><\/pre>\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![\"\"](\"https:\/\/best-biostatistics.com\/wp\/wp-content\/uploads\/2023\/11\/bn_r_03.png\")
<\/a>\r\n\u21911\u4e07\u4eba\u4ee5\u4e0a\u306e\u533b\u7642\u5f93\u4e8b\u8005\u304c\u8cfc\u8aad\u4e2d<\/span><\/strong><\/span><\/p><\/div>\u307e\u3068\u3081<\/h2>\n\n\n\n
\u4e8c\u4eba\u306e\u8a55\u4fa1\u8005\u9593\u306e\u30ab\u30c6\u30b4\u30ea\u5f62\u5f0f\u306e\u8a55\u4fa1\u306e\u4e00\u81f4\u5ea6\u3092\u78ba\u8a8d\u3059\u308b\u306e\u304c\u3044\u308f\u3086\u308b\u30ab\u30c3\u30d1\u4fc2\u6570\u3060\u3002<\/p>\n\n\n\n
Cohen’s Kappa\u3068\u547c\u3076\u306e\u304c\u7684\u78ba\u3060\u3002<\/p>\n\n\n\n
R \u306a\u3089irr \u30d1\u30c3\u30b1\u30fc\u30b8\u3092\u4f7f\u3046\u3068\u7c21\u5358\u3060\u3002<\/p>\n\n\n\n
\u53c2\u8003\u306b\u306a\u308c\u3070\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"
\u4e8c\u4eba\u306e\u8a55\u4fa1\u8005\u306e\u30ab\u30c6\u30b4\u30ea\u8a55\u4fa1\u306e\u4e00\u81f4\u5ea6\u3092\u898b\u308b\u306e\u304c\u3044\u308f\u3086\u308b\u30ab\u30c3\u30d1\u4fc2\u6570\u3060\u3002 \u30ab\u30c3\u30d1\u306f\u30ae\u30ea\u30b7\u30e3\u6587\u5b57\u306ek\u306e\u30ab\u30c3\u30d1\uff08\u03ba\uff09\u306e\u3053\u3068\u3002 Jacob Cohen\u5148\u751f\u304c\u767a\u660e\u3057\u305f\u306e\u3067\u3001Cohen’s Kappa\u3068\u547c\u3070\u308c\u308b\u3002 \u3053\u308c\u3092 R […]<\/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":[5,128],"tags":[],"class_list":["post-442","post","type-post","status-publish","format-standard","hentry","category-r","category-128"],"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\/442","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=442"}],"version-history":[{"count":5,"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/posts\/442\/revisions"}],"predecessor-version":[{"id":3390,"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/posts\/442\/revisions\/3390"}],"wp:attachment":[{"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/media?parent=442"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/categories?post=442"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/tags?post=442"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}