%0 Journal Article %T Bayesian variable selection with spherically symmetric priors %A M. B. De Kock %A H. C. Eggers %J Statistics %D 2014 %I arXiv %X We propose that Bayesian variable selection for linear parametrisations with Gaussian iid likelihoods be based on the spherical symmetry of the diagonalised parameter space. Our r-prior results in closed forms for the evidence for four examples, including the hyper-g prior and the Zellner-Siow prior, which are shown to be special cases. Scenarios of a single variable dispersion parameter and of fixed dispersion are studied, and asymptotic forms comparable to the traditional information criteria are derived. A simulation exercise shows that model comparison based on our r-prior gives good results comparable to or better than current model comparison schemes. %U http://arxiv.org/abs/1410.0891v2