##Results from modified Imai R program that conducts matching on actual, rather than bootstrapped sample.
##Because Imai's program randomly draws from matches, results vary from run to run.  We average over 100 runs.
##The sd is the standard deviation in the ate across the 100 runs.  The correct standard error is contained in the
##bootstrapped version.

#Without Replacement
n=1
100 iter.(ate= 0.0297166 sd= 0.01111688 )...
** 2 grp.(ate= 0.08039062 sd= 0.01383777 )...
** 1 grp.(ate= -0.02478992 sd= 0.01682263 )...
n=2
100 iter.(ate= 0.04052632 sd= 0.006349302 )...
** 2 grp.(ate= 0.07785156 sd= 0.008314354 )...
** 1 grp.(ate= 0.0003781513 sd= 0.009215005 )...
n=3
100 iter.(ate= 0.04493927 sd= 0.003412448 )...
** 2 grp.(ate= 0.07916667 sd= 0.004071541 )...
** 1 grp.(ate= 0.00812325 sd= 0.005229061 )...
n=4
100 iter.(ate= 0.04601215 sd= 0.002942705 )...
** 2 grp.(ate= 0.0852539 sd= 0.003939401 )...
** 1 grp.(ate= 0.003802521 sd= 0.004445989 )...
n=5
100 iter.(ate= 0.05067206 sd= 0.002400849 )...
** 2 grp.(ate= 0.08228125 sd= 0.003150308 )...
** 1 grp.(ate= 0.01667227 sd= 0.004114571 )...


#With Replacement

n=1
100 iter.(ate= 0.03558704 sd= 0.01271574 )...
** 2 grp.(ate= 0.09601562 sd= 0.02116494 )...
** 1 grp.(ate= -0.02941176 sd= 0.01527247 )...
n=2
100 iter.(ate= 0.03530364 sd= 0.006474154 )...
** 2 grp.(ate= 0.09480469 sd= 0.009321167 )...
** 1 grp.(ate= -0.02869748 sd= 0.00769567 )...
n=3
100 iter.(ate= 0.03573549 sd= 0.004797179 )...
** 2 grp.(ate= 0.09463542 sd= 0.00745095 )...
** 1 grp.(ate= -0.02761905 sd= 0.005700688 )...
n=4
100 iter.(ate= 0.0355668 sd= 0.002251859 )...
** 2 grp.(ate= 0.09480469 sd= 0.003998092 )...
** 1 grp.(ate= -0.02815126 sd= 0.001980691 )...
n=5
100 iter.(ate= 0.03553846 sd= 0.002636736 )...
** 2 grp.(ate= 0.09404687 sd= 0.004489698 )...
** 1 grp.(ate= -0.02739496 sd= 0.003288403 )...