Generate a hundred data points from the standard normal distribution and plot an empirical cumulative distribution...
Generate a hundred data points from the standard normal distribution and plot an empirical cumulative distribution function with a 95% confidence band.
Now plot the actual cumulative distribution and note how many times it goes outside the confidence band.
Homework Answers
R codes
> points = rnorm(100) ##hundred data
points from the standard normal distribution
> confidence_band = quantile(points, c(.025,.975))
##95% confidence band
> plot.ecdf(points) ##plot an empirical
cumulative distribution function
> abline(v=confidence_band)
> cdf = pnorm(points)
> plot(points,cdf)
It goes two times outside the actual confidence band.
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