Table 1.

Properties of different methods to estimate confidence intervals.

Method	Targets difference inefficacy betweentwo points	Addresses modelselection uncertainty	Addressesmultiplicityissue	Analysis methodused in simulations
Confidence bands	No	No	No	Fixed-2 fractional polynomials(gamlss package in R)
Delta method	Yes	No	No	Fixed-2 fractional polynomials (gamlss)
Bootstrap CI	Yes	Yes	No	Fixed-2 fractional polynomials (gamlss)
Bootstrap duration CI	Yes	Yes	Yes	Both standard (mfp package) andfixed-2 (gamlss) fractional polynomials