STAN 4300 - Statistical Estimation and Inference

Institution:

New College of Florida

Subject:

Statistics - Natural Sciences

Description:

This course will introduce students to advanced mathematical and inferential procedures for a deeper understanding of statistical estimation and inference. Many topics from introductory statistics classes, such as random variables, the central limit theorem, statistical estimation and hypotheses testing will be revisited and put on a more rigorous mathematical footing. The course starts with a review of random variables (both discrete and continuous) and an extension to random vectors. Basic properties of random samples and statistics such as the sample mean and sample standard deviation are discussed, followed by a discussion of sampling distributions, including bootstrap and permutation approaches. Deriving and evaluating point estimators, with a focus on maximum likelihood and Bayes estimation is thoroughly covered, followed by principles of interval estimation and some discussion of hypothesis testing, including likelihood ratio tests. Although the course will use the R programming language, it will feel more theoretical because it explains the concepts and ideas behind the procedures underlying applied data analysis. Enrollment Cap: 20. Course Attributes: Environmental Studies.

Credits:

4.00

Credit Hours:

Prerequisites:

Corequisites:

Exclusions:

Level:

Instructional Type:

Lecture

Notes:

Additional Information:

Historical Version(s):

Institution Website:

www.ncf.edu

Phone Number:

(941) 487-5000

Regional Accreditation:

Southern Association of Colleges and Schools

Calendar System:

Four-one-four plan

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