STATS 426 - Introduction to Theoretical Statistics
Section: 001
Term: WN 2009
Subject: Statistics (STATS)
Department: LSA Statistics
Page Index

#### Details

Credits:
3
Requirements & Distribution:
BS
Waitlist Capacity:
55
STATS 425.
BS:
This course counts toward the 60 credits of math/science required for a Bachelor of Science degree.
Repeatability:
May not be repeated for credit.
Primary Instructor:

#### Description

This course covers the basic ideas of statistical inference, including sampling distributions, estimation, confidence intervals, hypothesis testing, regression, analysis of variance, nonparametric testing, and Bayesian inference. The sequence of STATS 425/426 serves as a prerequisite for more advanced Statistics courses, regular homework and a final exam.

Random Variables
Joint Distributions
Induced Distributions
Expectation
The Law of Large Numbers
The Central Limit Theorem
Simulation
Populations and Samples
The Chi-squared, t, and F Distributions
Estimation: The Method of Moments
Maximum Likelihood Estimation
More on Maximum Likelihood Estimation
Bias, Variance, and MSE
The Cramer Rao Inequality
Exponential Families and Sufficiency
Confidence Intervals
Approximate Confidence Intervals
The Bootstrap
Asymptotics of the MLE
Tests and Confidence Intervals
Neyman Pearson
Likelihood Ratio Tests
Chi-Squared Tests
Goodness of Fit Tests
The Sample Distribution Function
Decision Analysis
Bayesian Inference
The Two Sample Problem
More on the Two Sample Problem
Rank Tests
One Way ANOVA
Simultaneous Confidence
Two Way ANOVA
Categorical Data
Simple Linear Regression
Multiple Regression

#### Schedule

STATS 426 - Introduction to Theoretical Statistics
Schedule Listing
001 (LEC)
P
13063
Closed
0

-
 TuTh 1:00PM - 2:30PM 130 DENN
002 (LEC)
P
31978
Open
5

-
 TuTh 1:00PM - 2:30PM B760 EH

#### Textbooks/Other Materials

NOTE: Data maintained by department in Wolverine Access. If no textbooks are listed below, check with the department.

ISBN: 0534399428
Mathematical statistics and data analysis, Author: John A. Rice., Publisher: Thompson/Brooks/Cole 3rd ed. 2007
Required

#### Syllabi

Syllabi are available to current LSA students. IMPORTANT: These syllabi are provided to give students a general idea about the courses, as offered by LSA departments and programs in prior academic terms. The syllabi do not necessarily reflect the assignments, sequence of course materials, and/or course expectations that the faculty and departments/programs have for these same courses in the current and/or future terms.

Click the button below to view historical syllabi for STATS 426 (UM login required)

#### CourseProfile (ART)

The CourseProfile (ART) system, supported by the U-M Provostâ€™s 3rd Century Initiative through a grant to the Office of Academic Innovation, provides additional information about: course enrollments; academic terms and instructors; student academic profiles (school/college, majors), and previous, concurrent, and subsequent course enrollments.