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Table 2 Test for differences between occupancy estimates in the Coast (\({\theta }_{1}\)) and the Central valley (\({\theta }_{2}\)) in four alien plants, Central Chile, using Bayes Factor. Statistical hypotheses are \({H}_{0}: {\theta }_{1}\le {\theta }_{2}\) and \({H}_{1}: { \theta }_{1 }>{\theta }_{2}.\) The Bayes factor was calculated using a) informative prior distributions (Beta distributions obtained from García et al. (2014); b) Uniform prior distributions, Beta (1,1); c) Jeffreys prior distributions, Beta (0.5,0.5), d) approximation to Haldane prior distribution, Beta (0.001,0.001). If Bayes Factor is higher than 1, then we support \({H}_{1};\) if values are lower than 1, then we support \({H}_{0}.\)

From: On the use of prior distributions in bayesian inference applied to Ecology: an ecological example using binomial proportions in exotic plants, Central Chile

Prior

Distribution

Acacia dealbata

Cytisus

striatus

Teline monspessulana

Ulex

europaeus

Informative

4.970

0.186

0.028

8.994

Uniform

0.536

5.809

12.128

12.582

Jeffreys

0.534

12.302

12.302

12.767

Haldane

0.974

10.826

22.796

23.696