# [R] How to generate SE for the proportion value using a randomization process in R?

Marna Wagley m@rn@@w@g|ey @end|ng |rom gm@||@com
Sat Jan 23 08:47:54 CET 2021

```Dear Rui,
I was wondering whether we have to square root of SD to find SE, right?

bootprop <- function(data, index){
d <- data[index, ]
sum(d[["BothTimes"]], na.rm = TRUE)/sum(d[["Time1"]], na.rm = TRUE)
}

R <- 1e3
set.seed(2020)
b <- boot(daT, bootprop, R)
b
b\$t0     # original
sd(b\$t)  # bootstrapped estimate of the SE of the sample prop.
sd(b\$t)/sqrt(1000)
pandit*(1-pandit)

hist(b\$t, freq = FALSE)

On Fri, Jan 22, 2021 at 3:07 PM Rui Barradas <ruipbarradas using sapo.pt> wrote:

> Hello,
>
> Something like this, using base package boot?
>
>
> library(boot)
>
> bootprop <- function(data, index){
>    d <- data[index, ]
>    sum(d[["BothTimes"]], na.rm = TRUE)/sum(d[["Time1"]], na.rm = TRUE)
> }
>
> R <- 1e3
> set.seed(2020)
> b <- boot(daT, bootprop, R)
> b
> b\$t0     # original
> sd(b\$t)  # bootstrapped estimate of the SE of the sample prop.
> hist(b\$t, freq = FALSE)
>
>
> Hope this helps,
>
>
> Às 21:57 de 22/01/21, Marna Wagley escreveu:
> > Hi All,
> > I was trying to estimate standard error (SE) for the proportion value
> using
> > some kind of randomization process (bootstrapping or jackknifing) in R,
> but
> > I could not figure it out.
> >
> > Is there any way to generate SE for the proportion?
> >
> > The example of the data and the code I am using is attached for your
> > reference. I would like to generate the value of proportion with a SE
> using
> > a 1000 times randomization.
> >
> > dat<-structure(list(Sample = structure(c(1L, 12L, 13L, 14L, 15L, 16L,
> > 17L, 18L, 19L, 2L, 3L, 4L, 5L, 6L, 7L, 8L, 9L, 10L, 11L), .Label =
> c("id1",
> > "id10", "id11", "id12", "id13", "id14", "id15", "id16", "id17",
> > "id18", "id19", "Id2", "id3", "id4", "id5", "id6", "id7", "id8",
> > "id9"), class = "factor"), Time1 = c(0L, 1L, 1L, 1L, 0L, 0L,
> > 1L, 0L, 0L, 0L, 0L, 1L, 1L, 0L, 0L, 1L, 0L, 1L, 0L), Time2 = c(1L,
> > 0L, 0L, 0L, 0L, 0L, 1L, 0L, 0L, 0L, 0L, 1L, 0L, 1L, 0L, 1L, 0L,
> > 1L, 1L)), .Names = c("Sample", "Time1", "Time2"), class = "data.frame",
> > row.names = c(NA,
> > -19L))
> > daT<-data.frame(dat %>%
> >    mutate(Time1.but.not.in.Time2 = case_when(
> >              Time1 %in% "1" & Time2 %in% "0"  ~ "1"),
> > Time2.but.not.in.Time1 = case_when(
> >              Time1 %in% "0" & Time2 %in% "1"  ~ "1"),
> >   BothTimes = case_when(
> >              Time1 %in% "1" & Time2 %in% "1"  ~ "1")))
> >   daT
> >   summary(daT)
> >
> > cols.num <- c("Time1.but.not.in.Time2","Time2.but.not.in.Time1",
> > "BothTimes")
> > daT[cols.num] <- sapply(daT[cols.num],as.numeric)
> > summary(daT)
> > ProportionValue<-sum(daT\$BothTimes, na.rm=T)/sum(daT\$Time1, na.rm=T)
> > ProportionValue
> > standard error??
> >
> >       [[alternative HTML version deleted]]
> >
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