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Bayesian posterior odds ratios for frequently encountered hypotheses about parameters of the normal linear multiple regression model are derived and discussed. For the particular prior distributions utilized, it is found that the posterior odds ratios can be well approximated by functions that are monotonic in usual sampling theory F statistics. Some implications of these finding and the relation of our work to the pioneering work of Jeffreys and others are considered. Tabulations of odd ratios are provided and discussed.
Zellner, Arnold, and Siow, Aloysius. "Posterior odds ratios for selected regression hypotheses.." Trabajos de Estadística e Investigación Operativa 31.1 (1980): 585-603. <http://eudml.org/doc/40850>.
@article{Zellner1980, abstract = {Bayesian posterior odds ratios for frequently encountered hypotheses about parameters of the normal linear multiple regression model are derived and discussed. For the particular prior distributions utilized, it is found that the posterior odds ratios can be well approximated by functions that are monotonic in usual sampling theory F statistics. Some implications of these finding and the relation of our work to the pioneering work of Jeffreys and others are considered. Tabulations of odd ratios are provided and discussed.}, author = {Zellner, Arnold, Siow, Aloysius}, journal = {Trabajos de Estadística e Investigación Operativa}, keywords = {Análisis bayesiano; Test de hipótesis; Análisis de regresión; testing regression hypotheses; Bayesian posterior odds ratios; normal linear multiple regression model; tabulations}, language = {eng}, number = {1}, pages = {585-603}, title = {Posterior odds ratios for selected regression hypotheses.}, url = {http://eudml.org/doc/40850}, volume = {31}, year = {1980}, }
TY - JOUR AU - Zellner, Arnold AU - Siow, Aloysius TI - Posterior odds ratios for selected regression hypotheses. JO - Trabajos de Estadística e Investigación Operativa PY - 1980 VL - 31 IS - 1 SP - 585 EP - 603 AB - Bayesian posterior odds ratios for frequently encountered hypotheses about parameters of the normal linear multiple regression model are derived and discussed. For the particular prior distributions utilized, it is found that the posterior odds ratios can be well approximated by functions that are monotonic in usual sampling theory F statistics. Some implications of these finding and the relation of our work to the pioneering work of Jeffreys and others are considered. Tabulations of odd ratios are provided and discussed. LA - eng KW - Análisis bayesiano; Test de hipótesis; Análisis de regresión; testing regression hypotheses; Bayesian posterior odds ratios; normal linear multiple regression model; tabulations UR - http://eudml.org/doc/40850 ER -