Hi here,
I using hypothesis() function to get bayes factors BF01 (H0 against H1), however sometime I found that the result of 95%CI would inconsistent with BF01. As shown in following picture, BF01 is smaller than 1 when the 95%CI was excluded 0 in most time,which is a consistent context that both of them support H1 and against H0 (i.e., row 2,4,7,8). However, sometime I found BF01 is inconsistent with 95%CI, as shown in row 16, the 95%CI [-0.30, -0.02] is excluded zero, but BF01 was larger than 1, which confuse me that 95%CI is prefer H1 and BF01 is prefer H0. It is thankful if someone could help me understand why this conflict happens.
- List item
Hypothesis Tests for class b:
Hypothesis Estimate Est.Error CI.Lower CI.Upper Evid.Ratio Post.Prob Star
1 (groupAccpriming) = 0 -0.11 0.11 -0.34 0.11 5.43 0.84
2 (groupMoralpriming) = 0 0.30 0.11 0.07 0.52 0.35 0.26 *
3 (rating_accuracy.z) = 0 0.06 0.04 -0.02 0.14 7.84 0.89
4 (rating_morality.z) = 0 0.24 0.07 0.10 0.38 0.02 0.02 *
5 (rating_difficult… = 0 -0.03 0.04 -0.11 0.06 18.56 0.95
6 (rating_familiari… = 0 0.05 0.04 -0.04 0.13 12.60 0.93
7 (rating_importanc… = 0 0.28 0.05 0.18 0.38 0.00 0.00 *
8 (groupAccpriming:… = 0 0.34 0.06 0.23 0.46 0.00 0.00 *
9 (groupMoralprimin… = 0 -0.05 0.06 -0.17 0.06 11.00 0.92
10 (groupAccpriming:… = 0 -0.09 0.08 -0.24 0.06 6.29 0.86
11 (groupMoralprimin… = 0 -0.01 0.08 -0.17 0.15 13.11 0.93
12 (groupAccpriming:… = 0 0.08 0.06 -0.04 0.19 7.43 0.88
13 (groupMoralprimin… = 0 -0.05 0.06 -0.17 0.06 11.67 0.92
14 (groupAccpriming:… = 0 -0.03 0.06 -0.15 0.08 15.17 0.94
15 (groupMoralprimin… = 0 -0.06 0.06 -0.17 0.06 10.29 0.91
16 (groupAccpriming:… = 0 -0.16 0.07 -0.30 -0.02 1.40 0.58 *
17 (groupMoralprimin… = 0 -0.02 0.07 -0.16 0.12 12.95 0.93
‘CI’: 90%-CI for one-sided and 95%-CI for two-sided hypotheses.
‘*’: For one-sided hypotheses, the posterior probability exceeds 95%;
for two-sided hypotheses, the value tested against lies outside the 95%-CI.
Posterior probabilities of point hypotheses assume equal prior probabilities.