Dear Statalisters,

Is it correct to use the svy brr syntax with bootstrap weights and svy bootstrap syntax with brr weights? This 2006 post states that it is possible, but not whether it is correct.
https://www.stata.com/statalist/arch.../msg00734.html

This simple demonstration based on the Stata help files shows that the two methods yield identical standard errors up to 24 decimal places. But since there are separate syntax statements for the two methods, I wonder if there are instances where they would yield different results for the same data.
Code:
. use http://www.stata-press.com/data/r15/nhanes2brr

. svyset [pweight = finalwgt], brrweight(brr_1-brr_32) vce(brr)

      pweight: finalwgt
          VCE: brr
          MSE: off
    brrweight: brr_1 .. brr_32
  Single unit: missing
     Strata 1: <one>
         SU 1: <observations>
        FPC 1: <zero>

. svy, nodots: mean height

Survey: Mean estimation         Number of obs   =       10,351
                                Population size =  117,157,513
                                Replications    =           32
                                Design df       =           31

--------------------------------------------------------------
             |                 BRR
             |       Mean   Std. Err.     [95% Conf. Interval]
-------------+------------------------------------------------
      height |   168.4599     .14663      168.1608    168.7589
--------------------------------------------------------------

. display %36.24f _se[height]
0.146629979913073582586946

. 
. svyset [pweight = finalwgt], bsrweight(brr_1-brr_32) vce(bootstrap)

      pweight: finalwgt
          VCE: bootstrap
          MSE: off
    bsrweight: brr_1 .. brr_32
  Single unit: missing
     Strata 1: <one>
         SU 1: <observations>
        FPC 1: <zero>

. svy, nodots: mean height

Survey: Mean estimation         Number of obs   =       10,351
                                Population size =  117,157,513
                                Replications    =           32

--------------------------------------------------------------
             |   Observed   Bootstrap         Normal-based
             |       Mean   Std. Err.     [95% Conf. Interval]
-------------+------------------------------------------------
      height |   168.4599     .14663      168.1725    168.7473
--------------------------------------------------------------

. display %36.24f _se[height]
0.146629979913073582586946

. 
. **********************************************************************
. 
. use http://www.stata-press.com/data/r15/nmihs_bs, clear

. svyset [pweight = finwgt], brrweight(bsrw1-bsrw1000) vce(brr)

      pweight: finwgt
          VCE: brr
          MSE: off
    brrweight: bsrw1 .. bsrw1000
  Single unit: missing
     Strata 1: <one>
         SU 1: <observations>
        FPC 1: <zero>

. svy, nodots: mean birthwgt

Survey: Mean estimation           Number of obs   =      9,946
                                  Population size =  3,895,562
                                  Replications    =      1,000
                                  Design df       =        999

--------------------------------------------------------------
             |                 BRR
             |       Mean   Std. Err.     [95% Conf. Interval]
-------------+------------------------------------------------
    birthwgt |   3355.452   6.520637      3342.657    3368.248
--------------------------------------------------------------

. display %36.24f _se[birthwgt]
6.520636700651118999871869


. svyset [pweight = finwgt], bsrweight(bsrw1-bsrw1000) vce(bootstrap)

      pweight: finwgt
          VCE: bootstrap
          MSE: off
    bsrweight: bsrw1 .. bsrw1000
  Single unit: missing
     Strata 1: <one>
         SU 1: <observations>
        FPC 1: <zero>

. svy, nodots: mean birthwgt

Survey: Mean estimation           Number of obs   =      9,946
                                  Population size =  3,895,562
                                  Replications    =      1,000

--------------------------------------------------------------
             |   Observed   Bootstrap         Normal-based
             |       Mean   Std. Err.     [95% Conf. Interval]
-------------+------------------------------------------------
    birthwgt |   3355.452   6.520637      3342.672    3368.233
--------------------------------------------------------------

. display %36.24f _se[birthwgt]
6.520636700651118999871869