Question on graphs: The default case for drawing a graph in R, is where a little space is left on the x and y axis before the first tick i.e. even if I say xlim=c(0,1) -- there will be some space between the edge of the x-axis and where 0 is placed. If I want 0 on the edge, how do I do it in R? Area under the curve: I have a 45 degree line and a curve above or below it. Is there a way in R to find the area between the two? Thanks, Renuka -- Renuka Sane http://www.nyx.net/~rsane [[alternative HTML version deleted]]
On Tue, 2005-08-02 at 18:20 +0530, Renuka Sane wrote:> Question on graphs: > > The default case for drawing a graph in R, is where a little space is left > on the x and y axis before the first tick i.e. even if I say xlim=c(0,1) -- > there will be some space between the edge of the x-axis and where 0 is > placed. If I want 0 on the edge, how do I do it in R?See ?par and take note of the 'xaxs' and 'yaxs' parameters. By default, these are set to 'r', where the axes are extended by 4% in each direction. Thus, set one or both parameters to 'i' to set the axes to exactly the ranges of xlim and/or ylim as you require.> Area under the curve: > > I have a 45 degree line and a curve above or below it. Is there a way in R > to find the area between the two?See Frank Harrell's somers2() function in the Hmisc package on CRAN. Among other things, it outputs a value "C", which is the AUC. HTH, Marc Schwartz
Romain Francois
2005-Aug-02 13:22 UTC
[R] question on graphs and finding area under a curve
Le 02.08.2005 14:50, Renuka Sane a ??crit :>Question on graphs: > >The default case for drawing a graph in R, is where a little space is left >on the x and y axis before the first tick i.e. even if I say xlim=c(0,1) -- >there will be some space between the edge of the x-axis and where 0 is >placed. If I want 0 on the edge, how do I do it in R? > >Area under the curve: > >I have a 45 degree line and a curve above or below it. Is there a way in R >to find the area between the two? > > >Hi, integrate.xy in sfsmisc package might help you. Romain>Thanks, >Renuka >- visit the R Graph Gallery : http://addictedtor.free.fr/graphiques ~~~~~~~~ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ ~~~~~~~~ ~~~~~~ Romain FRANCOIS - http://addictedtor.free.fr ~~~~~~ ~~~~ Etudiant ISUP - CS3 - Industrie et Services ~~~~ ~~ http://www.isup.cicrp.jussieu.fr/ ~~ ~~~~ Stagiaire INRIA Futurs - Equipe SELECT ~~~~ ~~~~~~ http://www.inria.fr/recherche/equipes/select.fr.html ~~~~~~ ~~~~~~~~ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ ~~~~~~~~
Tuszynski, Jaroslaw W.
2005-Aug-02 13:22 UTC
[R] question on graphs and finding area under a curve
How about: trapz = function(x, y) { # computes the integral of y with respect to x using trapezoidal integration. idx = 2:length(x) return (as.double( (x[idx] - x[idx-1]) %*% (y[idx] + y[idx-1])) / 2) } Jarek ====================================================\====== Jarek Tuszynski, PhD. o / \ Science Applications International Corporation <\__,| (703) 676-4192 "> \ Jaroslaw.W.Tuszynski at saic.com ` \ -----Original Message----- From: r-help-bounces at stat.math.ethz.ch [mailto:r-help-bounces at stat.math.ethz.ch] On Behalf Of Renuka Sane Sent: Tuesday, August 02, 2005 8:51 AM To: r-help at stat.math.ethz.ch Subject: [R] question on graphs and finding area under a curve Question on graphs: The default case for drawing a graph in R, is where a little space is left on the x and y axis before the first tick i.e. even if I say xlim=c(0,1) -- there will be some space between the edge of the x-axis and where 0 is placed. If I want 0 on the edge, how do I do it in R? Area under the curve: I have a 45 degree line and a curve above or below it. Is there a way in R to find the area between the two? Thanks, Renuka -- Renuka Sane http://www.nyx.net/~rsane [[alternative HTML version deleted]] ______________________________________________ R-help at stat.math.ethz.ch mailing list https://stat.ethz.ch/mailman/listinfo/r-help PLEASE do read the posting guide! http://www.R-project.org/posting-guide.html
Hi, To find the area lying between the curve y = y(x) and 45 degree line (which, assuming it goes through the origin, is y = x), you can use the following function based on trapezoidal rule: trap.rule <- function(x,f) {sum(diff(x)*(f[-1]+f[-length(f)]))/2} trap.rule(x,f=y-x) This area will be negative if y(x) is below the 45 degree line. However, your question is not complete, I think. You need to specify the interval of integration. For this you may need to determine the points of intersection of the two curves, which involves the solution of a fixed point problem. Hope this helps, Ravi.> -----Original Message----- > From: r-help-bounces at stat.math.ethz.ch [mailto:r-help- > bounces at stat.math.ethz.ch] On Behalf Of Renuka Sane > Sent: Tuesday, August 02, 2005 8:51 AM > To: r-help at stat.math.ethz.ch > Subject: [R] question on graphs and finding area under a curve > > Question on graphs: > > The default case for drawing a graph in R, is where a little space is left > on the x and y axis before the first tick i.e. even if I say xlim=c(0,1) - > - > there will be some space between the edge of the x-axis and where 0 is > placed. If I want 0 on the edge, how do I do it in R? > > Area under the curve: > > I have a 45 degree line and a curve above or below it. Is there a way in R > to find the area between the two? > > Thanks, > Renuka > > -- > Renuka Sane > http://www.nyx.net/~rsane > > [[alternative HTML version deleted]] > > ______________________________________________ > R-help at stat.math.ethz.ch mailing list > https://stat.ethz.ch/mailman/listinfo/r-help > PLEASE do read the posting guide! http://www.R-project.org/posting- > guide.html
Adaikalavan Ramasamy
2005-Aug-03 10:13 UTC
[R] question on graphs and finding area under a curve
Also see function rocdemo.sca in the ROC package. The area under the 45 degree line in an ROC curve has an area of 0.5. Regards, Adai On Tue, 2005-08-02 at 09:24 -0400, Ravi Varadhan wrote:> Hi, > > To find the area lying between the curve y = y(x) and 45 degree line (which, > assuming it goes through the origin, is y = x), you can use the following > function based on trapezoidal rule: > > trap.rule <- function(x,f) {sum(diff(x)*(f[-1]+f[-length(f)]))/2} > > trap.rule(x,f=y-x) > > This area will be negative if y(x) is below the 45 degree line. > > However, your question is not complete, I think. You need to specify the > interval of integration. For this you may need to determine the points of > intersection of the two curves, which involves the solution of a fixed point > problem. > > Hope this helps, > Ravi. > > > -----Original Message----- > > From: r-help-bounces at stat.math.ethz.ch [mailto:r-help- > > bounces at stat.math.ethz.ch] On Behalf Of Renuka Sane > > Sent: Tuesday, August 02, 2005 8:51 AM > > To: r-help at stat.math.ethz.ch > > Subject: [R] question on graphs and finding area under a curve > > > > Question on graphs: > > > > The default case for drawing a graph in R, is where a little space is left > > on the x and y axis before the first tick i.e. even if I say xlim=c(0,1) - > > - > > there will be some space between the edge of the x-axis and where 0 is > > placed. If I want 0 on the edge, how do I do it in R? > > > > Area under the curve: > > > > I have a 45 degree line and a curve above or below it. Is there a way in R > > to find the area between the two? > > > > Thanks, > > Renuka > > > > -- > > Renuka Sane > > http://www.nyx.net/~rsane > > > > [[alternative HTML version deleted]] > > > > ______________________________________________ > > R-help at stat.math.ethz.ch mailing list > > https://stat.ethz.ch/mailman/listinfo/r-help > > PLEASE do read the posting guide! http://www.R-project.org/posting- > > guide.html > > ______________________________________________ > R-help at stat.math.ethz.ch mailing list > https://stat.ethz.ch/mailman/listinfo/r-help > PLEASE do read the posting guide! http://www.R-project.org/posting-guide.html >