In the field of statistical inference, there are two primary schools of thought. Each has its proponents, but it is generally accepted that on all problems covered in an introductory course, that both approaches are valid and lead to the same numerical values when applied to actual problems. Only one of these approaches is covered in a traditional course, which denies the students access to an entire field of statistical inference. The traditional approach, also called the frequentist or orthodox perspective, leads almost directly to problem above. The other approach, also called Probability Theory as Logic, derives all statistical inference from probability theory directly. It is this approach that I hope to expose students to in an introductory course.
Recommended CitationBlais, Brian S., "Statistical Inference for Everyone (sie)" (2014). Science and Technology Book Publications. Paper 5.