rregressionquantilequantreg

how to extract upper/lower bounds on coefficients from quantile regression rq()


I'd like to extract coefficients and upper and lower bounds from a quantile regression using the quantreg package. Here's an example from the help file.

data(engel)
attach(engel)
taus <- c(.05,.1,.25,.75,.9,.95)
f <- rq((foodexp)~(income),tau=taus)
sf <- summary(f)
sf[1]
#[[1]]

#Call: rq(formula = (foodexp) ~ (income), tau = taus)

#tau: [1] 0.05

#Coefficients:
#            coefficients lower bd  upper bd 
#(Intercept) 124.88004     98.30212 130.51695
#income        0.34336      0.34333   0.38975

I know I can use coefficients() to get the coefficients.

cf <- t(data.frame(coefficients(f)))    # transpose for better arrangement
cf
#              (Intercept)    income
#tau..0.05   124.88004 0.3433611
#tau..0.10   110.14157 0.4017658
#tau..0.25    95.48354 0.4741032
#tau..0.75    62.39659 0.6440141
#tau..0.90    67.35087 0.6862995
#tau..0.95    64.10396 0.7090685

But I can't figure out how to get the upper/lower bounds that appear in summary(). I looked at str(sf), but I did not see how to extract.

Ultimately, I'd like to put taus, coefficients, and upper/lower bounds in a dataframe for further processing.


Solution

  • I'm assuming you just want the coefficients on the non-intercept term. How about this

    sapply(sf, function(x) c(tau=x$tau, x$coefficients[-1, ]))
    

    That will iterate over the different levels of tau and extract the intervals for the coefficients

                      [,1]      [,2]      [,3]      [,4]      [,5]      [,6]
    tau          0.0500000 0.1000000 0.2500000 0.7500000 0.9000000 0.9500000
    coefficients 0.3433611 0.4017658 0.4741032 0.6440141 0.6862995 0.7090685
    lower bd     0.3433270 0.3420992 0.4203298 0.5801552 0.6493680 0.6739000
    upper bd     0.3897500 0.4507941 0.4943288 0.6904127 0.7422294 0.7344405