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Table 6 Results (p values of tests) of application to two real datasets.

From: Testing for differences in distribution tails to test for differences in 'maximum' lifespan

Test

Data from Vasselli et al. [10]1

Data from Redmann & Argyropoulos [14]2

Tests of H 0,A (Wang-Allison tests)

  

QT3 with Ï„ set to 110/100#.

0.002

0.027

QT3 with Ï„ set to sample 90th percentile.

0.038

0.186

QT4 with Ï„ set to 110/100.

0.002

0.022

QT4 with Ï„ set to sample 90th percentile.

0.033

0.146

Tests of H 0, B

  

Wilcoxon-Mann-Whitney with Ï„ set to 110/100.

0.289

0.868

Wilcoxon-Mann-Whitney with Ï„ set to sample 90th percentile.

0.750

N/A*

Permutation test with Ï„ set to 110/100.

0.281

0.738

Permutation test with Ï„ set to sample 90th percentile.

0.634

N/A*

Tests of H 0, C (new tests)

  

Wilcoxon-Mann-Whitney with Ï„ set to 110/100.

0.001

0.022

Wilcoxon-Mann-Whitney with Ï„ set to sample 90th percentile.

0.026

0.243

Permutation test with Ï„ set to 110/100.

0.001

0.014

Permutation test with Ï„ set to sample 90th percentile.

0.024

0.072

  1. Notes: In each dataset, males and females have been combined. 1For the data from Vasselli et al. [10] two groups of rats (EO-HF and WL-HF) are compared; each group has 49 observations.
  2. 2The data from Redmann & Argyropoulos [14] consists of 16 mice with genotype '+/+' and 21 mice with genotype '-/-'.
  3. # For Data from Vasselli et al. [10]Ï„ is set to 110; for data from Redmann & Argyropoulos [14]Ï„ is set to 100.
  4. *Only one group has observations above the threshold Ï„.