A BAYESIAN ANALYSIS OF MULTIPLICATIVE TREATMENT EFFECTS WHEN TWO INDEPENDENT SAMPLES ARE OBSERVED

1 October 1978

journal article
Published by Wiley in Decision Sciences

Vol. 9 (4) , 555-563
https://doi.org/10.1111/j.1540-5915.1978.tb00745.x

Abstract

A Bayesian analysis of multiplicative treatment effects is given for a normally distributed population. The two samples taken, one for each treatment, are used to make inferences on the multiplicative effect. An analysis of the general problem with uneven sample sizes and prior information is rather untractable, which leads to the use of numerical integration methods. A special case for which analytical results are available is discussed. Finally, the method suggested in this paper is compared with an approach utilizing a logarithmic transformation.

Keywords

This publication has 2 references indexed in Scilit:

A Multiplicative Model for Analyzing Variances which are Affected by Several Factors
Journal of the American Statistical Association, 1960
Integraltafel
Published by Springer Nature ,1958