This is because the probabilities of the actual evidence E under the competing hypotheses are called the likelihoods of H on E. Whenever H and $H'$ imply specific statistical distributions for the observed evidence, this measure can be calculated in an objective, subject-independent way.
In contrast, Bayesian methods provide measures of association – Bayes factors (BFs) and posterior probabilities – that explicitly account for the likelihood of the data under the competing hypotheses.
The result of topology test failed to detect a significant difference between these two competing hypotheses under various criteria (ELW, SH and AU; Table 4).
Here, we evaluate these patterns for both livestock and native grazers under comparable grazing intensity and evaluate competing hypotheses that can account for the negative co-variation between these two types of grazer effects.
Once students have developed a hypothesis about the evolutionary relationships of the species under consideration, the students defend their hypothesis against competing hypotheses presented by other students (Singer et al. 2001).
Scientists have competing hypotheses to explain it.
There are competing hypotheses about why top bankers and corporate chief executives are paid so much.
"At this point there are several competing hypotheses for his illness," Mr. Giuliani said.
If we can eliminate competing hypotheses, then the case for sexual selection can be strengthened.
