{"id":549,"date":"2018-07-05T22:35:02","date_gmt":"2018-07-05T13:35:02","guid":{"rendered":"https:\/\/best-biostatistics.com\/toukei-er\/entry\/meta-analysis-odds-ratio-peto-method\/"},"modified":"2024-10-14T09:13:04","modified_gmt":"2024-10-14T00:13:04","slug":"meta-analysis-odds-ratio-peto-method","status":"publish","type":"post","link":"https:\/\/best-biostatistics.com\/toukei-er\/entry\/meta-analysis-odds-ratio-peto-method\/","title":{"rendered":"R \u3067 Peto \u306e\u65b9\u6cd5\u3067\u30aa\u30c3\u30ba\u6bd4\u3092\u7d71\u5408\u3059\u308b\u30e1\u30bf\u30a2\u30ca\u30ea\u30b7\u30b9"},"content":{"rendered":"\n

\u30e1\u30bf\u30a2\u30ca\u30ea\u30b7\u30b9\u306f\u3001\u3044\u304f\u3064\u304b\u306e\u7814\u7a76\u3067\u7b97\u51fa\u3055\u308c\u305f\u6570\u5024\u3092\u3001\u9069\u5207\u306b\u7d71\u5408\u3059\u308b\u65b9\u6cd5\u3002<\/p>\n\n\n\n

\u4e00\u3064\u4e00\u3064\u306e\u7814\u7a76\u3067\u306f\u3001\u691c\u51fa\u529b\u304c\u4e0d\u8db3\u3057\u3066\u3044\u305f\u3082\u306e\u304c\u3001\u7d71\u5408\u3059\u308b\u3053\u3068\u3067\u691c\u51fa\u529b\u3092\u5897\u3057\u3001\u7d71\u8a08\u5b66\u7684\u306b\u5224\u65ad\u304c\u3064\u304f\u3088\u3046\u306b\u306a\u308b\u3002<\/p>\n\n\n\n

\u30e1\u30bf\u30a2\u30ca\u30ea\u30b7\u30b9\u306e\u7d50\u679c\u306f\u3001\u30a8\u30d3\u30c7\u30f3\u30b9\u30ec\u30d9\u30eb\u304c\u9ad8\u3044\u3068\u8a55\u4fa1\u3055\u308c\u3066\u3044\u308b\u3002<\/p>\n\n\n\n

R \u3067Peto\u306e\u65b9\u6cd5\u306b\u3088\u308b\u7d71\u5408\u30aa\u30c3\u30ba\u6bd4\u3092\u6c42\u3081\u308b\u65b9\u6cd5\u3002<\/p>\n\n\n\n\n\n\n\n

Peto\u306e\u65b9\u6cd5\u306b\u3088\u308b\u30e1\u30bf\u30a2\u30ca\u30ea\u30b7\u30b9\u306e\u8a08\u7b97\u4f8b<\/h2>\n\n\n\n

\u30c7\u30fc\u30bf\u306f\u4ee5\u4e0b\u306e\u901a\u308a\u3002<\/p>\n\n\n\n

a <-<\/span> c<\/span>(<\/span>3<\/span>,<\/span>7<\/span>,<\/span>5<\/span>,<\/span>102<\/span>,<\/span>28<\/span>,<\/span>4<\/span>,<\/span>98<\/span>,<\/span>60<\/span>,<\/span>25<\/span>,<\/span>138<\/span>,<\/span>64<\/span>,<\/span>45<\/span>,<\/span>9<\/span>,<\/span>57<\/span>,<\/span>25<\/span>,<\/span>65<\/span>,<\/span>17<\/span>)<\/span>\nn1 <-<\/span> c<\/span>(<\/span>38<\/span>,<\/span>114<\/span>,<\/span>69<\/span>,<\/span>1533<\/span>,<\/span>355<\/span>,<\/span>59<\/span>,<\/span>945<\/span>,<\/span>632<\/span>,<\/span>278<\/span>,<\/span>1916<\/span>,<\/span>873<\/span>,<\/span>263<\/span>,<\/span>291<\/span>,<\/span>858<\/span>,<\/span>154<\/span>,<\/span>1195<\/span>,<\/span>298<\/span>)<\/span>\nc <-<\/span> c<\/span>(<\/span>3<\/span>,<\/span>14<\/span>,<\/span>11<\/span>,<\/span>127<\/span>,<\/span>27<\/span>,<\/span>6<\/span>,<\/span>152<\/span>,<\/span>48<\/span>,<\/span>37<\/span>,<\/span>188<\/span>,<\/span>52<\/span>,<\/span>47<\/span>,<\/span>16<\/span>,<\/span>45<\/span>,<\/span>31<\/span>,<\/span>62<\/span>,<\/span>34<\/span>)<\/span>\nn0 <-<\/span> c<\/span>(<\/span>39<\/span>,<\/span>116<\/span>,<\/span>93<\/span>,<\/span>1520<\/span>,<\/span>365<\/span>,<\/span>52<\/span>,<\/span>939<\/span>,<\/span>471<\/span>,<\/span>282<\/span>,<\/span>1921<\/span>,<\/span>583<\/span>,<\/span>266<\/span>,<\/span>293<\/span>,<\/span>883<\/span>,<\/span>147<\/span>,<\/span>1200<\/span>,<\/span>309<\/span>)<\/span>\ndat <-<\/span> data.frame<\/span>(<\/span>a,<\/span>n1,<\/span>c,<\/span>n0)<\/span>\n<\/code><\/pre>\n\n\n\n
a, b, c, d\u306f2×2\u306e\u5206\u5272\u8868\u306e\u30de\u30b9\u76ee\u306e\u540d\u524d\u3002<\/p>\n\n\n\n
\"\"<\/figure>\n\n\n\n\n\n\n\n
ai <-<\/span> dat$<\/span>a\nbi <-<\/span> dat$<\/span>n1 -<\/span> dat$<\/span>a\nci <-<\/span> dat$<\/span>c\ndi <-<\/span> dat$<\/span>n0 -<\/span> dat$<\/span>c\n<\/code><\/pre>\n\n\n\n
\u8868\u4e2d\u306en1, n0, m1, m0, tn\u306f\u5468\u8fba\u5ea6\u6570\u3068\u3044\u3046\u3002<\/p>\n\n\n\n
\u5468\u8fba\u5ea6\u6570\u3092\u8a08\u7b97\u3059\u308b\u3002<\/p>\n\n\n\n
tn <-<\/span> dat$<\/span>n1 +<\/span> dat$<\/span>n0\nn1 <-<\/span> dat$<\/span>n1\nn0 <-<\/span> dat$<\/span>n0\nm1 <-<\/span> ai +<\/span> ci\nm0 <-<\/span> bi +<\/span> di\n<\/code><\/pre>\n\n\n\n
o\u304c\u89b3\u5bdf\u5ea6\u6570\u3001
e\u304c\u671f\u5f85\u5ea6\u6570\u3001
v\u304c\u5206\u6563\u3001
lgor\u306f\u5bfe\u6570\u30aa\u30c3\u30ba\u6bd4\u3001
se\u306f\u6a19\u6e96\u8aa4\u5dee\u3001
w\u306f\u91cd\u307f\u3001
low\u306f95%\u4fe1\u983c\u533a\u9593\u4e0b\u9650\u3001
upp\u306f95%\u4fe1\u983c\u533a\u9593\u4e0a\u9650\u3002<\/p>\n\n\n\n
o <-<\/span> ai\ne <-<\/span> n1*<\/span>m1\/<\/span>tn\nv <-<\/span> (<\/span>n1*<\/span>n0\/<\/span>tn)<\/span>*<\/span>(<\/span>m1*<\/span>m0\/<\/span>tn)<\/span>\/<\/span>(<\/span>tn-<\/span>1<\/span>)<\/span>\nlgor <-<\/span> (<\/span>o-<\/span>e)<\/span>\/<\/span>v\nse <-<\/span> 1<\/span>\/<\/span>sqrt<\/span>(<\/span>v)<\/span>\nw <-<\/span> 1<\/span>\/<\/span>se\/<\/span>se\nlow <-<\/span> exp<\/span>(<\/span>lgor-<\/span>1.96<\/span>*<\/span>se)<\/span>\nupp <-<\/span> exp<\/span>(<\/span>lgor+<\/span>1.96<\/span>*<\/span>se)<\/span>\nround<\/span>(<\/span>cbind<\/span>(<\/span>\"o-e\"<\/span>=<\/span>o-<\/span>e,<\/span> v,<\/span> lgor,<\/span> low,<\/span> upp),<\/span>4<\/span>)<\/span>\n<\/code><\/pre>\n\n\n\n
\u8a08\u7b97\u7d50\u679c\u3092\u4e26\u3079\u3066\u307f\u308b\u3068\u3001\u3053\u3046\u306a\u308b\u3002<\/p>\n\n\n\n
><\/span> round<\/span>(<\/span>cbind<\/span>(<\/span>\"o-e\"<\/span>=<\/span>o-<\/span>e,<\/span> v,<\/span> lgor,<\/span> low,<\/span> upp),<\/span>4<\/span>)<\/span>\n          o-<\/span>e       v    lgor    low    upp\n[<\/span>1<\/span>,]<\/span>   0.0390<\/span>  1.4011<\/span>  0.0278<\/span> 0.1963<\/span> 5.3853<\/span>\n[<\/span>2<\/span>,]<\/span>  -<\/span>3.4087<\/span>  4.7911<\/span> -<\/span>0.7115<\/span> 0.2005<\/span> 1.2020<\/span>\n[<\/span>3<\/span>,]<\/span>  -<\/span>1.8148<\/span>  3.5477<\/span> -<\/span>0.5115<\/span> 0.2118<\/span> 1.6973<\/span>\n[<\/span>4<\/span>,]<\/span> -<\/span>12.9876<\/span> 52.9722<\/span> -<\/span>0.2452<\/span> 0.5978<\/span> 1.0244<\/span>\n[<\/span>5<\/span>,]<\/span>   0.8819<\/span> 12.7149<\/span>  0.0694<\/span> 0.6186<\/span> 1.8571<\/span>\n[<\/span>6<\/span>,]<\/span>  -<\/span>1.3153<\/span>  2.2863<\/span> -<\/span>0.5753<\/span> 0.1539<\/span> 2.0564<\/span>\n[<\/span>7<\/span>,]<\/span> -<\/span>27.3981<\/span> 54.2347<\/span> -<\/span>0.5052<\/span> 0.4624<\/span> 0.7874<\/span>\n[<\/span>8<\/span>,]<\/span>  -<\/span>1.8821<\/span> 23.8590<\/span> -<\/span>0.0789<\/span> 0.6187<\/span> 1.3804<\/span>\n[<\/span>9<\/span>,]<\/span>  -<\/span>5.7786<\/span> 13.8079<\/span> -<\/span>0.4185<\/span> 0.3883<\/span> 1.1151<\/span>\n[<\/span>10<\/span>,]<\/span> -<\/span>24.7876<\/span> 74.5949<\/span> -<\/span>0.3323<\/span> 0.5716<\/span> 0.9000<\/span>\n[<\/span>11<\/span>,]<\/span>  -<\/span>5.5522<\/span> 25.6484<\/span> -<\/span>0.2165<\/span> 0.5469<\/span> 1.1859<\/span>\n[<\/span>12<\/span>,]<\/span>  -<\/span>0.7391<\/span> 19.0354<\/span> -<\/span>0.0388<\/span> 0.6138<\/span> 1.5074<\/span>\n[<\/span>13<\/span>,]<\/span>  -<\/span>3.4572<\/span>  5.9926<\/span> -<\/span>0.5769<\/span> 0.2522<\/span> 1.2508<\/span>\n[<\/span>14<\/span>,]<\/span>   6.7323<\/span> 24.0149<\/span>  0.2803<\/span> 0.8873<\/span> 1.9745<\/span>\n[<\/span>15<\/span>,]<\/span>  -<\/span>3.6512<\/span> 11.4271<\/span> -<\/span>0.3195<\/span> 0.4068<\/span> 1.2973<\/span>\n[<\/span>16<\/span>,]<\/span>   1.6326<\/span> 30.0788<\/span>  0.0543<\/span> 0.7385<\/span> 1.5093<\/span>\n[<\/span>17<\/span>,]<\/span>  -<\/span>8.0379<\/span> 11.6942<\/span> -<\/span>0.6873<\/span> 0.2835<\/span> 0.8921<\/span>\n<\/code><\/pre>\n\n\n\n
17\u306e\u7814\u7a76\u7d50\u679c\u3092Peto\u306e\u65b9\u6cd5\u3067\u7d71\u5408\u3059\u308b\u3002<\/p>\n\n\n\n
sw\u304c\u91cd\u307f\u306e\u5408\u8a08\u3067\u3001
peto\u304c\u7d71\u5408\u30aa\u30c3\u30ba\u6bd4\u3001
petol, petou\u304c95%\u4fe1\u983c\u533a\u9593\u4e0b\u9650\u3068\u4e0a\u9650\u3002<\/p>\n\n\n\n
q1\u306f\u5747\u8cea\u6027\u306e\u691c\u5b9a\u7d71\u8a08\u91cf\u3002
q2\u304c\u6709\u610f\u6027\u306e\u691c\u5b9a\u7d71\u8a08\u91cf\u3002<\/p>\n\n\n\n
# --------------- fixed effects ---------------<\/span>\nk <-<\/span> length<\/span>(<\/span>ai)<\/span>\nsw <-<\/span> sum<\/span>(<\/span>w)<\/span>\npeto <-<\/span> exp<\/span>(<\/span>sum<\/span>(<\/span>lgor*<\/span>w)<\/span>\/<\/span>sw)<\/span>\npetol <-<\/span> exp<\/span>(<\/span>log<\/span>(<\/span>peto)<\/span>-<\/span>1.96<\/span>*<\/span>sqrt<\/span>(<\/span>1<\/span>\/<\/span>sw))<\/span>\npetou <-<\/span> exp<\/span>(<\/span>log<\/span>(<\/span>peto)<\/span>+<\/span>1.96<\/span>*<\/span>sqrt<\/span>(<\/span>1<\/span>\/<\/span>sw))<\/span>\nq1 <-<\/span> sum<\/span>(<\/span>w*<\/span>(<\/span>lgor-<\/span>log<\/span>(<\/span>peto))<\/span>^<\/span>2<\/span>)<\/span>\ndf1 <-<\/span> k-<\/span>1<\/span>\npval1 <-<\/span> 1<\/span>-<\/span>pchisq<\/span>(<\/span>q1,<\/span> df1)<\/span>\nq2 <-<\/span> (<\/span>abs<\/span>(<\/span>sum<\/span>(<\/span>o-<\/span>e))<\/span>-<\/span>0.5<\/span>)<\/span>^<\/span>2<\/span>\/<\/span>sum<\/span>(<\/span>v)<\/span>\ndf2 <-<\/span> 1<\/span>\npval2 <-<\/span> 1<\/span>-<\/span>pchisq<\/span>(<\/span>q2,<\/span> df2)<\/span>\nlist<\/span>(<\/span>round<\/span>(<\/span>c<\/span>(<\/span>ORp=<\/span>peto,<\/span> LL=<\/span>petol,<\/span> UL=<\/span>petou,<\/span> Q1=<\/span>q1,<\/span> df1=<\/span>df1,<\/span>P1=<\/span>pval1,<\/span> Q2=<\/span>q2,<\/span> df2=<\/span>df2,<\/span> P2=<\/span>pval2),<\/span>4<\/span>))<\/span>\n<\/code><\/pre>\n\n\n\n
\u7d50\u679c\u3092\u30ea\u30b9\u30c8\u30a2\u30c3\u30d7\u3059\u308b\u3068\u3001\u3053\u3046\u306a\u308b\u3002<\/p>\n\n\n\n
\u7d71\u5408\u30aa\u30c3\u30ba\u6bd4\u306895%\u4fe1\u983c\u533a\u9593\u306f0.7819 (0.7064 – 0.8656)\u3002<\/p>\n\n\n\n
\u5747\u8cea\u6027\u306e\u691c\u5b9a\u306fp=0.1643\u3067\u7d71\u8a08\u5b66\u7684\u6709\u610f\u3067\u306a\u3044\u3002<\/p>\n\n\n\n
\u5747\u8cea\u3068\u3044\u3046\u5e30\u7121\u4eee\u8aac\u304c\u68c4\u5374\u3055\u308c\u306a\u3044\u3002<\/p>\n\n\n\n
\u3064\u307e\u308a\u3001\u5747\u8cea\u3068\u8a00\u3063\u3066\u3082\u3044\u3044\u3002<\/p>\n\n\n\n
\u6709\u610f\u6027\u306e\u691c\u5b9a\u306fp<0.0001\u3067\u7d71\u8a08\u5b66\u7684\u6709\u610f\u3002<\/p>\n\n\n\n
><\/span> list<\/span>(<\/span>round<\/span>(<\/span>c<\/span>(<\/span>ORp=<\/span>peto,<\/span> LL=<\/span>petol,<\/span> UL=<\/span>petou,<\/span> Q1=<\/span>q1,<\/span> df1=<\/span>df1,<\/span>P1=<\/span>pval1,<\/span> Q2=<\/span>q2,<\/span> df2=<\/span>df2,<\/span> P2=<\/span>pval2),<\/span>4<\/span>))<\/span>\n1<\/span>\n   ORp      LL      UL      Q1     df1      P1      Q2     df2      P2\n0.7819<\/span>  0.7064<\/span>  0.8656<\/span> 21.3816<\/span> 16.0000<\/span>  0.1643<\/span> 22.2667<\/span>  1.0000<\/span>  0.0000<\/span>\n<\/code><\/pre>\n\n\n\n
Peto\u306e\u65b9\u6cd5\u306e\u7d50\u679c\u3092\u56f3\u793a\u3059\u308b<\/h2>\n\n\n\n
\u305d\u308c\u305e\u308c\u306e\u7814\u7a76\u7d50\u679c\u3092\u56f3\u793a\u3059\u308b\u30b9\u30af\u30ea\u30d7\u30c8\u3002<\/p>\n\n\n\n
\u30d5\u30a9\u30ec\u30b9\u30c8\u30d7\u30ed\u30c3\u30c8 Forest plot\u3068\u547c\u3070\u308c\u308b\u3002<\/p>\n\n\n\n
X\u8ef8\u306b\u30aa\u30c3\u30ba\u6bd4\u3001
Y\u8ef8\u306f\u7814\u7a76ID\u3002<\/p>\n\n\n\n
\u4e00\u3064\u306e\u7814\u7a76\u306e\u91cd\u307f\u306f\u3001\u56db\u89d2\u306e\u8fba\u3067\u8868\u3057\u3066\u3044\u308b\u3002<\/p>\n\n\n\n
\u8fba\u306f\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u306e\u5e73\u65b9\u6839\u3002<\/p>\n\n\n\n
\u6700\u5f8c\u306b95%\u4fe1\u983c\u533a\u9593\u4e0b\u9650\u304b\u3089\u4e0a\u9650\u307e\u3067\u30e9\u30a4\u30f3\u3092\u5f15\u304f\u3002<\/p>\n\n\n\n
# ------------- individual graph ----------------<\/span>\nid <-<\/span> k:<\/span>1<\/span>\nplot<\/span>(<\/span>exp<\/span>(<\/span>lgor),<\/span> id,<\/span> ylim=<\/span>c<\/span>(<\/span>-<\/span>2<\/span>,<\/span>20<\/span>),<\/span>log=<\/span>\"x\"<\/span>,<\/span> xlim=<\/span>c<\/span>(<\/span>0.1<\/span>,<\/span>10<\/span>),<\/span> yaxt=<\/span>\"n\"<\/span>,<\/span> pch=<\/span>\"\"<\/span>,<\/span>ylab=<\/span>\"Citation\"<\/span>,<\/span> xlab=<\/span>\"Odds ratio\"<\/span>)<\/span>\ntitle<\/span>(<\/span>main=<\/span>\" Peto's method \"<\/span>)<\/span>\nsymbols<\/span>(<\/span>exp<\/span>(<\/span>lgor),<\/span> id,<\/span> squares=<\/span>sqrt<\/span>(<\/span>tn),<\/span>add=<\/span>TRUE<\/span>,<\/span> inches=<\/span>0.25<\/span>)<\/span>\nfor<\/span> (<\/span>i in<\/span> 1<\/span>:<\/span>k){<\/span>\nj <-<\/span> k-<\/span>i+<\/span>1<\/span>\nx <-<\/span> c<\/span>(<\/span>low[<\/span>i],<\/span> upp[<\/span>i])<\/span>\ny <-<\/span> c<\/span>(<\/span>j,<\/span> j)<\/span>\nlines<\/span>(<\/span>x,<\/span> y,<\/span> type=<\/span>\"l\"<\/span>)<\/span>\ntext<\/span>(<\/span>0.1<\/span>,<\/span> i,<\/span> j)<\/span>\n}<\/span>\n<\/code><\/pre>\n\n\n\n
\"\"<\/figure>\n\n\n\n
<\/span><\/p>\n\n\n\n
\u3055\u3089\u306b\u7d71\u5408\u30aa\u30c3\u30ba\u6bd4\u306895%\u4fe1\u983c\u533a\u9593\u3092\u56f3\u306b\u8ffd\u52a0\u3059\u308b\u3002<\/p>\n\n\n\n
\u4e00\u756a\u4e0b\u306bCombined\u3068\u3042\u308b\u306e\u304c\u3001\u7d71\u5408\u30aa\u30c3\u30ba\u6bd4\u306895%\u4fe1\u983c\u533a\u9593\u3002<\/p>\n\n\n\n
# -------------- graph --------------<\/span>\npetox <-<\/span> c<\/span>(<\/span>petol,<\/span> petou)<\/span>\npetoy <-<\/span> c<\/span>(<\/span>-<\/span>1<\/span>,<\/span> -<\/span>1<\/span>)<\/span>\nlines<\/span>(<\/span>petox,<\/span> petoy,<\/span> type=<\/span>\"o\"<\/span>,<\/span> lty=<\/span>1<\/span>,<\/span> lwd=<\/span>2<\/span>)<\/span>\nabline<\/span>(<\/span>v=<\/span>c<\/span>(<\/span>peto),<\/span> lty=<\/span>2<\/span>)<\/span>\nabline<\/span>(<\/span>v=<\/span>1<\/span>)<\/span>\ntext<\/span>(<\/span>0.3<\/span>,<\/span> -<\/span>1<\/span>,<\/span> \"Combined\"<\/span>)<\/span>\n<\/code><\/pre>\n\n\n\n
\"\"<\/figure>\n\n\n\n
<\/span><\/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>
Peto\u306e\u65b9\u6cd5\u3092\u30d1\u30c3\u30b1\u30fc\u30b8\u3092\u4f7f\u3063\u3066\u5b9f\u884c\u3057\u305f\u5834\u5408<\/h2>\n\n\n\n
metafor\u30d1\u30c3\u30b1\u30fc\u30b8\u306erma.peto()\u3092\u4f7f\u3046\u3068\u8d85\u697d\u3005\u3002<\/p>\n\n\n\n
metafor\u30d1\u30c3\u30b1\u30fc\u30b8\u306f\u3001\u6700\u521d\u306e\u4e00\u56de\u3060\u3051\u30a4\u30f3\u30b9\u30c8\u30fc\u30eb\u3002<\/p>\n\n\n\n
install.packages<\/span>(<\/span>\"metafor\"<\/span>)<\/span>\n<\/code><\/pre>\n\n\n\n
rma.peto()\u5185\u3067a, b, c, d\u3092\u6307\u5b9a\u3059\u308b\u3060\u3051\u3067\u3001
\u3042\u3063\u3068\u3044\u3046\u9593\u306b\u8a08\u7b97\u3002<\/p>\n\n\n\n
library<\/span>(<\/span>metafor)<\/span>\nrma.peto.res <-<\/span> rma.peto<\/span>(<\/span>ai=<\/span>a,<\/span> bi=<\/span>n1-<\/span>a,<\/span> ci=<\/span>c,<\/span> di=<\/span>n0-<\/span>c,<\/span> data=<\/span>dat)<\/span>\nrma.peto.res\n<\/code><\/pre>\n\n\n\n
\u8a08\u7b97\u7d50\u679c\u306f\u4ee5\u4e0b\u306e\u901a\u308a\u3002<\/p>\n\n\n\n
\u5747\u8cea\u6027\u306e\u691c\u5b9a\u7d50\u679c\u306f\u3001Test for Heterogeneity\u306e\u7b87\u6240\u3092\u898b\u308b\u3002<\/p>\n\n\n\n
\u6709\u610f\u6027\u306e\u691c\u5b9a\u306f\u3001Model Results (log scale)\u306epval\u3092\u898b\u308b\u3002<\/p>\n\n\n\n
\u7d71\u5408\u30aa\u30c3\u30ba\u6bd4\u306895%\u4fe1\u983c\u533a\u9593\u306f\u3001Model Results (OR scale)\u3092\u898b\u308b\u3002<\/p>\n\n\n\n
><\/span> rma.peto.res\nFixed-<\/span>Effects Model <\/span>(<\/span>k =<\/span> 17<\/span>)<\/span>\nTest for<\/span> Heterogeneity:<\/span>\nQ<\/span>(<\/span>df =<\/span> 16<\/span>)<\/span> =<\/span> 21.3816<\/span>,<\/span> p-<\/span>val =<\/span> 0.1643<\/span>\nModel Results <\/span>(<\/span>log scale):<\/span>\nestimate      se     zval    pval    ci.lb    ci.ub\n-<\/span>0.2460<\/span>  0.0518<\/span>  -<\/span>4.7447<\/span>  <<\/span>.0001<\/span>  -<\/span>0.3476<\/span>  -<\/span>0.1444<\/span>\nModel Results <\/span>(<\/span>OR scale):<\/span>\nestimate   ci.lb   ci.ub\n0.7819<\/span>  0.7064<\/span>  0.8656<\/span>\n<\/code><\/pre>\n\n\n\n
\u30d5\u30a9\u30ec\u30b9\u30c8\u30d7\u30ed\u30c3\u30c8\u3082\u4e00\u77ac\u3002<\/p>\n\n\n\n
forest()\u3060\u3051\u3067OK\u3002<\/p>\n\n\n\n
forest<\/span>(<\/span>rma.peto.res)<\/span>\n<\/code><\/pre>\n\n\n\n
\"\"<\/figure>\n\n\n\n
<\/span><\/p>\n\n\n\n
\u307e\u3068\u3081<\/h2>\n\n\n\n
\u30aa\u30c3\u30ba\u6bd4\u3092 Peto \u306e\u65b9\u6cd5\u3067\u7d71\u5408\u3059\u308b\u30e1\u30bf\u30a2\u30ca\u30ea\u30b7\u30b9\u3092 R \u3067\u884c\u3046\u65b9\u6cd5\u3092\u89e3\u8aac\u3057\u305f\u3002<\/p>\n\n\n\n
\u53c2\u8003\u306b\u306a\u308c\u3070\u3002<\/p>\n\n\n\n
\u53c2\u8003\u66f8\u7c4d<\/h2>\n\n\n\n
\u4e39\u5f8c\u4fca\u90ce\u8457\u3000\u30e1\u30bf\u30fb\u30a2\u30ca\u30ea\u30b7\u30b9\u5165\u9580\u3000\u671d\u5009\u66f8\u5e97
3.1 \uff12\u00d7\uff12\u5206\u5272\u8868\u30003.1.1 Peto\u306e\u65b9\u6cd5\u2015\u30aa\u30c3\u30ba\u6bd4
\u4ed8\u9332B.3\u3000\u30a2\u30eb\u30b4\u30ea\u30ba\u30e03.1 peto.s<\/p>\n\n\n\n
\"\u30e1\u30bf\u30fb\u30a2\u30ca\u30ea\u30b7\u30b9\u5165\u9580\u2015\u30a8\u30d3\u30c7\u30f3\u30b9\u306e\u7d71\u5408\u3092\u3081\u3056\u3059\u7d71\u8a08\u624b\u6cd5<\/a><\/figure>\n\n\n\n
<\/div>\n\n\n\n
\n
\u30e1\u30bf\u30fb\u30a2\u30ca\u30ea\u30b7\u30b9\u5165\u9580\u2015\u30a8\u30d3\u30c7\u30f3\u30b9\u306e\u7d71\u5408\u3092\u3081\u3056\u3059\u7d71\u8a08\u624b\u6cd5 (\u533b\u5b66\u7d71\u8a08\u5b66\u30b7\u30ea\u30fc\u30ba)<\/a><\/p>\n