Table 5.
Bayes factor analysis of first-pass regressions from the critical region in our replication data of the dependency × interference interaction, in grammatical and ungrammatical conditions. Shown are increasingly informative priors on the parameter representing the interaction term in the model; for example, Normal(0,1) means a normal distribution with mean 0 and standard deviation 1. We consider a range of priors here because of the well-known sensitivity of the Bayes factor to prior specification. The Bayes factor analysis shows the evidence in favor of the interaction term being present in the model; a value smaller than 1 favors the null model, and a value larger than 1 favors the full model including the interaction term. A value of larger than 10 is generally considered to be strong evidence for the effect of interest being present (Jeffreys, 1939/1998).
| Grammatical conditions | ||
| Prior on Dep × Int effect | Bayes factor in favor of alternative | |
| 1 | Normal(0,1) | 0.57 |
| 2 | Normal(0,0.8) | 0.71 |
| 3 | Normal(0,0.6) | 0.95 |
| 4 | Normal(0,0.4) | 1.36 |
| 5 | Normal(0,0.2) | 1.94 |
| Ungrammatical conditions | ||
| Prior on Dep × Int effect | Bayes factor in favor of alternative | |
| 1 | Normal(0,1) | 1.54 |
| 2 | Normal(0,0.8) | 1.97 |
| 3 | Normal(0,0.6) | 2.54 |
| 4 | Normal(0,0.4) | 3.54 |
| 5 | Normal(0,0.2) | 5.31 |