BTRY 4090

Theory of Statistics

Course Description

Course information provided by the Courses of Study 2024-2025.

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.

When Offered Fall, Spring.

Prerequisites/Corequisites Prerequisite: BTRY 3080 or MATH 4710 or equivalent and at least one introductory statistics course.
Forbidden Overlaps 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.

Distribution Category (OPHLS-AG)

• Describe the general principles of statistical estimation and testing.
• Design a statistical estimator in a principled way based on a description of a dataset.
• Analyze the theoretical properties of an estimator and a hypothesis test.
• Calculate and correctly interpret confidence intervals, p-values, statistical significance, and power.
• Recognize the general principles underlying common statistical procedures.

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