TY - JOUR
T1 - A note on the small-sample power functions for nonparametric tests of location in the double exponential family
AU - Conover, W. J.
AU - Wehmanen, Oscar
AU - Ramsey, Fred L.
PY - 1978/3
Y1 - 1978/3
N2 - Eight nonparametric tests are examined in a small-sample setting. Their power functions are compared with the locally most powerful (LMP) linear rank test, primarily to see over which range the LMP test retains good power. All tests are two-sample tests, the populations are governed by the double exponential distribution, and the sample sizes are m = 5, n = 5, and m = 5, n = 4. The LMP test performs uniformly well, even under nonlocal alternatives, while its asymptotically equivalent counterpart, the median test, performs rather poorly with these small sample sizes.
AB - Eight nonparametric tests are examined in a small-sample setting. Their power functions are compared with the locally most powerful (LMP) linear rank test, primarily to see over which range the LMP test retains good power. All tests are two-sample tests, the populations are governed by the double exponential distribution, and the sample sizes are m = 5, n = 5, and m = 5, n = 4. The LMP test performs uniformly well, even under nonlocal alternatives, while its asymptotically equivalent counterpart, the median test, performs rather poorly with these small sample sizes.
KW - Double exponential distribution
KW - Nonparametric tests
KW - Power functions
KW - Small-sample power
UR - http://www.scopus.com/inward/record.url?scp=0041049702&partnerID=8YFLogxK
U2 - 10.1080/01621459.1978.10480025
DO - 10.1080/01621459.1978.10480025
M3 - Article
AN - SCOPUS:0041049702
SN - 0162-1459
VL - 73
SP - 188
EP - 190
JO - Journal of the American Statistical Association
JF - Journal of the American Statistical Association
IS - 361
ER -