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Presented are the posterior means and 95%% credible intervals (CI).
Vertical lines indicate the 95% HPD credible intervals, respectively.
In this manner, analysis of credible intervals would be effective.
The credible intervals are increased as multiple variables are combined.
Hypotheses were tested by checking whether credible intervals of one slope parameter overlapped zero, or whether credible intervals of two slope parameters for one species overlapped each other.
For the credible intervals based on the three reference priors, the mean lengths of the credible intervals are similar with slightly better results for π r 1.
The 95% credible intervals of the ranks were generally wide and overlapping.
Relevant posterior probability estimates (with 95% credible intervals) were as follows.
The corresponding credible intervals were (12%, 33%) and (6%, 24%) at the 0.95 confidence level.
By contrast, the vertical slices through the polygons in Fig. 7 are exact 95% credible intervals.
In addition, the vertical lines indicate the limits of the 95% HPD credible intervals.
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