Hi everyone. My problem: I've 4 distributions: A, B, C and D: #A mA=16.6 sA=3.0 #B mB=18.9 sB=3.2 #C mC=20.3 sC=2.1 #D mD=24 sD=0.8 ###Graphiques ensembles plot(function(x) dnorm(x,mA,sA),0,40,col="orange",ylim=c(0,0.5)) plot(function(x) dnorm(x,mB,sB),0,40,add=T,col="green") plot(function(x) dnorm(x,mC,sC),0,40,add=T,col="blue") plot(function(x) dnorm(x,mD,sD),0,40,add=T,col="red") Now I've a fifth distribution X #X mX=23 sX=0.7 plot(function(x) dnorm(x,mX,sX),0,40,add=T,col="black") And I would like to know the area of the overlapping of the curve of X with the curves of A, B, C and D (in %). How can I do that? Thank you very much, Kindly regards, Scaramouch -- View this message in context: http://r.789695.n4.nabble.com/Overlapping-areas-under-normal-distributions-tp3625807p3625807.html Sent from the R help mailing list archive at Nabble.com.
On 26.06.2011 13:36, scaramouch wrote:> Hi everyone. > > My problem: I've 4 distributions: A, B, C and D: > > #A > mA=16.6 > sA=3.0 > > #B > mB=18.9 > sB=3.2 > > #C > mC=20.3 > sC=2.1 > > #D > mD=24 > sD=0.8 > > ###Graphiques ensembles > plot(function(x) dnorm(x,mA,sA),0,40,col="orange",ylim=c(0,0.5)) > plot(function(x) dnorm(x,mB,sB),0,40,add=T,col="green") > plot(function(x) dnorm(x,mC,sC),0,40,add=T,col="blue") > plot(function(x) dnorm(x,mD,sD),0,40,add=T,col="red") > > Now I've a fifth distribution X > #X > mX=23 > sX=0.7 > plot(function(x) dnorm(x,mX,sX),0,40,add=T,col="black") > > And I would like to know the area of the overlapping of the curve of X with > the curves of A, B, C and D (in %). > > How can I do that?Integrate over the differences? Uwe Ligges> Thank you very much, > Kindly regards, Scaramouch > > -- > View this message in context: http://r.789695.n4.nabble.com/Overlapping-areas-under-normal-distributions-tp3625807p3625807.html > Sent from the R help mailing list archive at Nabble.com. > > ______________________________________________ > R-help at r-project.org mailing list > https://stat.ethz.ch/mailman/listinfo/r-help > PLEASE do read the posting guide http://www.R-project.org/posting-guide.html > and provide commented, minimal, self-contained, reproducible code.
Thank you for the answer, but how can i integrate the difference? There is always an error with integrate(). Kindly regards, Scaramouch -- View this message in context: http://r.789695.n4.nabble.com/Overlapping-areas-under-normal-distributions-tp3625807p3628473.html Sent from the R help mailing list archive at Nabble.com.
On 27.06.2011 20:28, scaramouch wrote:> Thank you for the answer,If you thank me and ask me a follow up, please also send a message to me, not only to the list. Please also quote the original message, not all list members (and particularly not myself) can remember the original stuff in thousands of messages a week ... > but how can i integrate the difference?> There is always an error with integrate().Have you tried? Then show your reproducible code and probably someone will be kind enough to correct what you tried. Best, Uwe Ligges> > Kindly regards, Scaramouch > > -- > View this message in context: http://r.789695.n4.nabble.com/Overlapping-areas-under-normal-distributions-tp3625807p3628473.html > Sent from the R help mailing list archive at Nabble.com. > > ______________________________________________ > R-help at r-project.org mailing list > https://stat.ethz.ch/mailman/listinfo/r-help > PLEASE do read the posting guide http://www.R-project.org/posting-guide.html > and provide commented, minimal, self-contained, reproducible code.