abline plot confidence intervals - r

I would like to plot a figure like the attached one. Consider just one color, let's say, the blue line.
The figure shows correlation between twinA and twinB.
The line in the figure is the mean of 1000 lines obtained with a permutation.
I averaged slope and intercept and got the averaged regression line.
So far so good.
Then, I need to plot CIs.
I need to use CIs I get from the permutation itself rather than the average CIs.
Therefore, I computed the CIs of the correlation coefficients (between twinA and twinB) vector I obtained with the permutations.
Here's comes the issue.
With this code I am able to plot the line but I cannot find how to insert CI with abline function:
plot(1, type="n", xlab="", ylab="", xlim=c(0, 10), ylim=c(0, 20))
a=10.09773458
b = 0.183630788
abline(a, b)
CI=0.001940921
Any suggestion?
Thank you in advance!

Related

kernel density estimator in R

I'm using the last column from the following data,
Data
And I'm trying to apply the idea of a kernel density estimator to this dataset which is represented by
where k is some kernal, normally a normal distribution though not necessarily., h is the bandwidth, n is the length of the data set, X_i is each data point and x is a fitted value. So using this equation I have the following code,
AstroData=read.table(paste0("http://www.stat.cmu.edu/%7Elarry",
"/all-of-nonpar/=data/galaxy.dat"),
header=FALSE)
x=AstroData$V3
xsorted=sort(x)
x_i=xsorted[1:1266]
hist(x_i, nclass=308)
n=length(x_i)
h1=.002
t=seq(min(x_i),max(x_i),0.01)
M=length(t)
fhat1=rep(0,M)
for (i in 1:M){
fhat1[i]=sum(dnorm((t[i]-x_i)/h1))/(n*h1)}
lines(t, fhat1, lwd=2, col="red")
Which produces a the following plot,
which is actually close to what I want as the final result should appear as this once I remove the histograms,
Which if you noticed is finer tuned and the red lines which should represent the density are rather rough and are not scaled as high. The final plot that you see is run using the density function in R,
plot(density(x=y, bw=.002))
Which is what I want to get to without having to use any additional packages.
Thank you
After some talk with my roommate he gave me the idea to go ahead and decrease the interval of the t-values (x). In doing some I changed it from 0.01 to 0.001. So the final code for this plot is as appears,
AstroData=read.table(paste0("http://www.stat.cmu.edu/%7Elarry",
"/all-of-nonpar/=data/galaxy.dat"),
header=FALSE)
x=AstroData$V3
xsorted=sort(x)
x_i=xsorted[1:1266]
hist(x_i, nclass=308)
n=length(x_i)
h1=.002
t=seq(min(x_i),max(x_i),0.001)
M=length(t)
fhat1=rep(0,M)
for (i in 1:M){
fhat1[i]=sum(dnorm((t[i]-x_i)/h1))/(n*h1)}
lines(t, fhat1, lwd=2, col="blue")
Which in terms gives the following plot, which is the one that I wanted,

How to add a Poisson distribution curve that approaches 3?

I want to add a curve to an existing plot.
This curve should be a poisson distribution curve that approaches the mean 3.
I've tried this code
points is a vector with 1000 values
plot(c(1:1000), points,type="l")
abline(h=3)
x = 0:1000
curve(dnorm(x, 3, sqrt(3)), lwd=2, col="red", add=TRUE)
I am getting a plot, but without any curve.
I would like to see a curve that approaches 3.
you can do something like this:
plot(0:20, 3+dpois( x=0:20, lambda=3 ), xlim=c(-2,20))
normden <- function(x){3+dnorm(x, mean=3, sd=sqrt(3))}
curve(normden, from=-4, to=20, add=TRUE, col="red")
running this code will produce the following:
is that what you intended?

How do I plot an abline() when I don't have any data points (in R)

I have to plot a few different simple linear models on a chart, the main point being to comment on them. I have no data for the models. I can't get R to create a plot with appropriate axes, i.e. I can't get the range of the axes correct. I think I'd like my y-axis to 0-400 and x to be 0-50.
Models are:
$$
\widehat y=108+0.20x_1
$$$$
\widehat y=101+2.15x_1
$$$$
\widehat y=132+0.20x_1
$$$$
\widehat y=119+8.15x_1
$$
I know I could possibly do this much more easily in a different software or create a dataset from the model and estimate and plot the model from that but I'd love to know if there is a better way in R.
As #Glen_b noticed, type = "n" in plot produces a plot with nothing on it. As it demands data, you have to provide anything as x - it can be NA, or some data. If you provide actual data, the plot function will figure out the plot margins from the data, otherwise you have to choose the margins by hand using xlim and ylim arguments. Next, you use abline that has parameters a and b for intercept and slope (or h and v if you want just a horizontal or vertical line).
plot(x=NA, type="n", ylim=c(100, 250), xlim=c(0, 50),
xlab=expression(x[1]), ylab=expression(hat(y)))
abline(a=108, b=0.2, col="red")
abline(a=101, b=2.15, col="green")
abline(a=132, b=0.2, col="blue")
abline(a=119, b=8.15, col="orange")

How to plot exponential function on barplot R?

So I have a barplot in which the y axis is the log (frequencies). From just eyeing it, it appears that bars decrease exponentially, but I would like to know this for sure. What I want to do is also plot an exponential on this same graph. Thus, if my bars fall below the exponential, I would know that my bars to decrease either exponentially or faster than exponential, and if the bars lie on top of the exponential, I would know that they dont decrease exponentially. How do I plot an exponential on a bar graph?
Here is my graph if that helps:
If you're trying to fit density of an exponential function, you should probably plot density histogram (not frequency). See this question on how to plot distributions in R.
This is how I would do it.
x.gen <- rexp(1000, rate = 3)
hist(x.gen, prob = TRUE)
library(MASS)
x.est <- fitdistr(x.gen, "exponential")$estimate
curve(dexp(x, rate = x.est), add = TRUE, col = "red", lwd = 2)
One way of visually inspecting if two distributions are the same is with a Quantile-Quantile plot, or Q-Q plot for short. Typically this is done when inspecting if a distribution follows standard normal.
The basic idea is to plot your data, against some theoretical quantiles, and if it matches that distribution, you will see a straight line. For example:
x <- qnorm(seq(0,1,l=1002)) # Theoretical normal quantiles
x <- x[-c(1, length(x))] # Drop ends because they are -Inf and Inf
y <- rnorm(1000) # Actual data. 1000 points drawn from a normal distribution
l.1 <- lm(sort(y)~sort(x))
qqplot(x, y, xlab="Theoretical Quantiles", ylab="Actual Quantiles")
abline(coef(l.1)[1], coef(l.1)[2])
Under perfect conditions you should see a straight line when plotting the theoretical quantiles against your data. So you can do the same plotting your data against the exponential function you think it will follow.

How do I plot the 'inverse' of a survival function?

I am trying to plot the inverse of a survival function, as the data I'm is actually an increase in proportion of an event over time. I can produce Kaplan-Meier survival plots, but I want to produce the 'opposite' of these. I can kind of get what I want using the following fun="cloglog":
plot(survfit(Surv(Days_until_workers,Workers)~Queen_Number+Treatment,data=xdata),
fun="cloglog", lty=c(1:4), lwd=2, ylab="Colonies with Workers",
xlab="Days", las=1, font.lab=2, bty="n")
But I don't understand quite what this has done to the time (i.e. doesn't start at 0 and distance decreases?), and why the survival lines extend above the y axis.
Would really appreciate some help with this!
Cheers
Use fun="event" to get the desired output
fit <- survfit(Surv(time, status) ~ x, data = aml)
par(mfrow=1:2, las=1)
plot(fit, col=2:3)
plot(fit, col=2:3, fun="event")
The reason for fun="cloglog" screwing up the axes is that it does not plot a fraction at all. It is instead plotting this according to ?plot.survfit:
"cloglog" creates a complimentary log-log survival plot (f(y) = log(-log(y)) along with log scale for the x-axis)
Moreover, the fun argument is not limited to predefined functions like "event" or "cloglog", so you can easily give it your own custom function.
plot(fit, col=2:3, fun=function(y) 3*sqrt(1-y))

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