[R] bootstrap confidence intervals

[David Winsemius]

On 11/5/21 1:16 PM, varin sacha via R-help wrote:
> Dear R-experts,
>
> Here is a toy example. How can I get the bootstrap confidence intervals working ?
>
> Many thanks for your help
>
> ############################
> library(DescTools)
> library(boot)
>   
> A=c(488,437,500,449,364)
> dat<-data.frame(A)
> med<-function(d,i) {
> temp<-d[i,]
# shouldn't this be

HodgesLehmann(temp)  # ???

# makes no sense to extract a bootstrap sample and then return a value calculated on the full dataset

> HodgesLehmann(A)
> }
> boot.out<-boot(data=dat,statistic=med,R=100)

I would have imagined that one could simply extract the quantiles of the 
HodgesLehmann at the appropriate tail probabilities:


quantile(boot.out$t, c(0.025, 0.975))
     2.5%    97.5%
400.5000 488.0001


It doesn't seem reasonable to have bootstrap CI's that are much tighter 
than the estimates on the original data:


 > HodgesLehmann(boot.out$t, conf.level=0.95)
    est lwr.ci upr.ci
449.75 444.25 453.25    # seems to be cheating
 > HodgesLehmann(dat$A, conf.level=0.95)
    est lwr.ci upr.ci
    449    364    500    # Much closer to the quantiles above


-- 

David.

> HodgesLehmann(boot.out$t)
>
> boot.ci(boot.out,type="all")
> ############################
>
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