Gelman, AndrewMeng, Xiao-li2011-07-111991Gelman, Andrew and Xiao-Li Meng. 1991. A note on bivariate distributions that are conditionally normal. The American Statistician 45(2): 125-126.0003-1305http://nrs.harvard.edu/urn-3:HUL.InstRepos:5024665It is possible for a nonnormal bivariate distribution to have conditional distribution functions that are normal in both directions. This article presents several examples, with graphs, including a counterintuitive bimodal joint density. The graphs simultaneously display the joint density and the conditional density functions, which appear as Gaussian curves in the three-dimensional plots.en-USbimodalitybivariate normal distributionconditional probabilityJournal Article10.2307/2684374