Table 1.
Comparisons of t- and deviance tests in overdispersed logistic regression and log-linear models and a test based on a Bayesian model
Group 1a | logistic regression | log-linear model | Bayesian model | ||||
library 1 | library 2 | t-testc | deviance test | t-testc | deviance test | Ed | |
1b | 0 | 0 | 0.645 | 0.115 | 0.003 | 0.001 | 0.01 |
2 | 2 | 2 | 0.485 | 0.122 | 0.002 | 0.002 | 0.02 |
3 | 5 | 5 | 0.383 | 0.133 | 0.003 | 0.005 | 0.04 |
4 | 10 | 10 | 0.324 | 0.149 | 0.007 | 0.01 | 0.05 |
5 | 20 | 20 | 0.291 | 0.183 | 0.02 | 0.025 | 0.07 |
6 | 50 | 50 | 0.324 | 0.29 | 0.104 | 0.117 | 0.11 |
7 | 100 | 100 | 0.494 | 0.508 | 0.376 | 0.404 | 0.12 |
aTag counts in group 1 are artificially increased towards the levels observed in group 2 (which are held fixed). Tag counts in group 2 are 312, 549, 246, 65, 41, and 52. The library sizes and tag counts in group 2 are taken from Baggerly et al. [15].
b The empirical tag counts 0.506, and 0.494 are used to replace the zero counts in group 1[15].
c The t-test here is testing the hypothesis that β = 0.
d E, the Bayes Error Rate, is listed. [26].