I'm trying to efficiently implement a block bootstrap technique to get the distribution of regression coefficients. The main outline is as follows.
I have a panel data set, and say firm and year are the indices. For each iteration of the bootstrap, I wish to sample n subjects with replacement. From this sample, I need to construct a new data frame that is an rbind()
stack of all the observations for each sampled subject, run the regression, and pull out the coefficients. Repeat for a bunch of iterations, say 100.
- Each firm can potentially be selected multiple times, so I need to include it data multiple times in each iteration's data set.
- Using a loop and subset approach, like below, seems computationally burdensome.
- Note that for my real data frame, n, and the number iterations is much larger than the example below.
My thoughts initially are to break the existing data frame into a list by subject using the split()
command. From there, use
sample(unique(df1$subject),n,replace=TRUE)
to get the new list, then perhaps implement quickdf
from the plyr
package to construct a new data frame.
Example slow code:
require(plm)
data("Grunfeld", package="plm")
firms = unique(Grunfeld$firm)
n = 10
iterations = 100
mybootresults=list()
for(j in 1:iterations){
v = sample(length(firms),n,replace=TRUE)
newdata = NULL
for(i in 1:n){
newdata = rbind(newdata,subset(Grunfeld, firm == v[i]))
}
reg1 = lm(value ~ inv + capital, data = newdata)
mybootresults[[j]] = coefficients(reg1)
}
mybootresults = as.data.frame(t(matrix(unlist(mybootresults),ncol=iterations)))
names(mybootresults) = names(reg1$coefficients)
mybootresults
(Intercept) inv capital
1 373.8591 6.981309 -0.9801547
2 370.6743 6.633642 -1.4526338
3 528.8436 6.960226 -1.1597901
4 331.6979 6.239426 -1.0349230
5 507.7339 8.924227 -2.8661479
...
...