From: Testing for differences in distribution tails to test for differences in 'maximum' lifespan
Test | Sample Size (N) Per Group | |||||
---|---|---|---|---|---|---|
 | 50 | 80 | 100 | |||
 | α = .05 | α = .01 | α = .05 | α = .01 | α = .05 | α = .01 |
Tests of H 0, A (Wang-Allison tests) | ||||||
QT3 with Ï„ set to 130. | 0.032 (.027, .036)# | 0.008 (.005, .011) | 0.041 (.036, .046) | 0.006 (.003, .009) | 0.040 (.035, .045) | 0.006 (.003, .009) |
QT3 with Ï„ set to sample 90th percentile | 0.026 (.022, .030) | 0.026* (.020, .032) | 0.080 (.072, .088) | 0.007 (.004, .010) | 0.040 (.035, .045) | 0.010 (.006, .014) |
QT4 with Ï„ set to 130. | 0.038 (.033, .043) | 0.008 (.005, .011) | 0.051 (.045, .057) | 0.009 (.006, .012) | 0.047 (.041, .053) | 0.007 (.004, .010) |
QT4 with Ï„ set to sample 90th percentile. | 0.026 (.022, .030) | 0.026 (.020, .032) | 0.083 (.075, .091) | 0.026 (.020, .032) | 0.040 (.035, .045) | 0.010 (.006, .014) |
Tests of H 0, B | ||||||
Wilcoxon-Mann-Whitney** with Ï„ set to 130. | 0.041 (.036, .046) | 0.017 (.012, .022) | 0.044 (.038, .050) | 0.008 (.005, .011) | 0.046 (.040, .052) | 0.008 (.005, .011) |
Wilcoxon-Mann-Whitney with Ï„ set to sample 90th percentile. | 0.049 (.043, .055) | 0.014 (.010, .018) | 0.065 (.058, .072) | 0.015 (.011, .019) | 0.080 (.072, .088) | 0.018 (.013, .023) |
Permutation test with Ï„ set to 130. | 0.050 (.036, .064) | 0.009 (.001, .017) | 0.050 (.036, .064) | 0.011 (.002, .020) | 0.064 (.049, .079) | 0.015 (.005, .025) |
Permutation test with Ï„ set to sample 90th percentile. | 0.077 (.060, .094) | 0.016 (.006, .026) | 0.078 (.061, .095) | 0.022 (.010, .034) | 0.083 (.066, .100) | 0.019 (.008, .030) |
Tests of H 0, C (new tests) | ||||||
Wilcoxon-Mann-Whitney with Ï„ set to 130. | 0.042 (.036, .048) | 0.007 (.004, .010) | 0.049 (.043, .055) | 0.010 (.006, .014) | 0.051 (.045, .057) | 0.008 (.005, .011) |
Wilcoxon-Mann-Whitney with Ï„ set to sample 90th percentile. | 0.055 (.049, .061) | 0.015 (.011, .019) | 0.060 (.053, .067) | 0.015 (.011, .019) | 0.061 (.054, .068) | 0.015 (.011, .019) |
Permutation test with Ï„ set to 130. | 0.052 (.038, .066) | 0.015 (.005, .025) | 0.047 (.034, .060) | 0.009 (.001, .017) | 0.057 (.043, .071) | 0.007 (.000, .014) |
Permutation test with Ï„ set to sample 90th percentile. | 0.045 (.032, .058) | 0.017 (.006, .028) | 0.062 (.047, .077) | 0.011 (.002, .020) | 0.068 (.053, .084) | 0.018 (.007, .029) |