<P> Developing ideas of Fisher and of Pitman from 1938 to 1939, George A. Barnard developed "structural inference" or "pivotal inference", an approach using invariant probabilities on group families . Barnard reformulated the arguments behind fiducial inference on a restricted class of models on which "fiducial" procedures would be well - defined and useful . </P> <P> The topics below are usually included in the area of statistical inference . </P> <Ol> <Li> Statistical assumptions </Li> <Li> Statistical decision theory </Li> <Li> Estimation theory </Li> <Li> Statistical hypothesis testing </Li> <Li> Revising opinions in statistics </Li> <Li> Design of experiments, the analysis of variance, and regression </Li> <Li> Survey sampling </Li> <Li> Summarizing statistical data </Li> </Ol> <Li> Statistical decision theory </Li>

Inferential statistical method to be used for data analysis