BTRY 4090 - Theory of Statistics

(crosslisted) STSCI 4090
(OPHLS-AG)

Fall, Spring. 4 credits. Letter grades only.

Forbidden Overlap: due to an overlap in content, students will receive credit for only one course in the following group: BTRY 4090, MATH 4720, STSCI 4090.

Prerequisite: BTRY 3080 or

MATH 4710

or equivalent and at least one introductory statistics course. Co-meets with BTRY 5090/STSCI 5090.

Staff.

Introduction to classical theory of parametric statistical inference that builds on the material covered in BTRY 3080. Topics include: sampling distributions, principles of data reduction, likelihood, parameter estimation, hypothesis testing, interval estimation, and basic asymptotic theory.

Outcome 1: Describe the general principles of statistical estimation and testing.

Outcome 2: Design a statistical estimator in a principled way based on a description of a dataset.

Outcome 3: Analyze the theoretical properties of an estimator and a hypothesis test.

Outcome 4: Calculate and correctly interpret confidence intervals, p-values, statistical significance, and power.

Outcome 5: Recognize the general principles underlying common statistical procedures.