Created
March 17, 2013 20:39
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Extraction of R's package irr's source code of Krippendorf's alpha
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kripp.alpha<-function (x, method = c("nominal", "ordinal", "interval", "ratio")) { | |
if(missing(x)) | |
stop("kripp.alpha(x,method=c(\"nominal\",\"ordinal\",\"interval\",\"ratio\"))\n", | |
"\twhere x is a classifier by object matrix of classifications or scores\n") | |
method <- match.arg(method) | |
coincidence.matrix<-function(x) { | |
levx<-(levels(as.factor(x))) | |
nval<-length(levx) | |
cm<-matrix(rep(0, nval * nval), nrow = nval) | |
dimx<-dim(x) | |
vn<-function(datavec) sum(!is.na(datavec)) | |
if(any(is.na(x))) mc<-apply(x, 2, vn) - 1 | |
else mc<-rep(1, dimx[2]) | |
for(col in 1:dimx[2]) { | |
for(i1 in 1:(dimx[1] - 1)) { | |
for(i2 in (i1 + 1):dimx[1]) { | |
if(!is.na(x[i1, col]) && !is.na(x[i2, col])) { | |
index1<-which(levx == x[i1, col]) | |
index2<-which(levx == x[i2, col]) | |
cm[index1, index2]<-cm[index1,index2] + (1 + (index1 == index2))/mc[col] | |
if(index1 != index2) cm[index2,index1]<-cm[index1,index2] | |
} | |
} | |
} | |
} | |
nmv <- sum(apply(cm, 2, sum)) | |
return(structure(list(method="Krippendorff's alpha", | |
subjects=dimx[2],raters=dimx[1],irr.name="alpha", | |
value=NA,stat.name="nil",statistic=NULL, | |
cm=cm,data.values=levx,nmatchval=nmv,data.level=NA), | |
class = "irrlist")) | |
} | |
ka<-coincidence.matrix(x) | |
ka$data.level<-method | |
dimcm<-dim(ka$cm) | |
utcm<-as.vector(ka$cm[upper.tri(ka$cm)]) | |
diagcm<-diag(ka$cm) | |
occ<-sum(diagcm) | |
nc<-apply(ka$cm,1,sum) | |
ncnc<-sum(nc * (nc - 1)) | |
dv<-as.numeric(ka$data.values) | |
diff2<-rep(0,length(utcm)) | |
ncnk<-rep(0,length(utcm)) | |
ck<-1 | |
if (dimcm[2]<2) ka$value<-1.0 | |
else { | |
for(k in 2:dimcm[2]) { | |
for(c in 1:(k-1)) { | |
ncnk[ck]<-nc[c] * nc[k] | |
if(match(method[1],"nominal",0)) diff2[ck]<-1 | |
if(match(method[1],"ordinal",0)) { | |
diff2[ck]<-nc[c]/2 | |
if(k > (c+1)) | |
for(g in (c+1):(k-1)) diff2[ck]<-diff2[ck] + nc[g] | |
diff2[ck]<-diff2[ck]+nc[k]/2 | |
diff2[ck]<-diff2[ck]^2 | |
} | |
if(match(method[1],"interval",0)) diff2[ck]<-(dv[c]-dv[k])^2 | |
if(match(method[1],"ratio",0)) diff2[ck]<-(dv[c]-dv[k])^2/(dv[c]+dv[k])^2 | |
ck<-ck+1 | |
} | |
} | |
ka$value<-1-(ka$nmatchval-1)*sum(utcm*diff2)/sum(ncnk*diff2) | |
} | |
return(ka) | |
} |
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