Statistics Courses (STA)

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Courses For Undergraduates

108 Elementary Introduction to Probability and Statistics (3:3).

AULER/CLER: MT, CMT

• May not be taken for credit by students who have received credit for ECO 250 or 350 or who are concurrently enrolled in ECO 250.

Finite sample spaces, discrete probability, random variables, expected value, binomial distribution, independent trials, random samples, point estimation, hypothesis testing, and confidence intervals. (FA,SP)

271 Fundamental Concepts of Statistics (3:3).

Pr. grade of at least C in MAT 119 or 150 or STA 108 or permission of department.

Survey of basic descriptive and inferential statistics for undergraduates from any discipline. Graphical and descriptive techniques. Measures of central tendency, variability, correlation. Estimation. Normal tests, t-tests, analysis of variance. Emphasis on statistical literacy and interpretation. (FA,SP)

351 Probability (3:3).

Pr. grade of at least C in MAT 292.

Basic probability theory; combinatorial probability, conditional probability and independent events; univariate and multivariate probability distribution functions and their properties. (FA)

352 Statistical Inference (3:3).

Pr. grade of at least C in 351 or permission of instructor.

Descriptive and inferential statistics. Emphasis on sampling distributions; theory of estimation and tests of hypotheses, linear hypothesis theory, regression, correlation and analysis of variance. (SP)

Courses For Advanced Undergraduates and Graduate Students

551, 552 Introduction to Probability and Mathematical Statistics (3:3), (3:3).

Pr. grade of at least C in 351 and MAT 293 or permission of instructor.

Events and probabilities (sample spaces), dependent and independent events, random variables and probability distribution, discrete and continuous distributions, expectation, moment generating functions, point estimation, multivariate normal distribution, testing hypotheses, confidence intervals, correlation and regression, small sample distributions.

571 Statistical Methods for Research I (3:3).

Coreq. 571L.

• Hours do not count toward degree requirements for a mathematics major.

Introduction to statistical concepts. Basic probability, random variables, the binomial, normal and Student's t distributions, hypothesis tests, confidence intervals, chi-square tests, introduction to regression, and analysis of variance. (FA)

571L Statistical Methods Laboratory I (1:0:2).

Coreq. 571.

• Hours do not count toward degree requirements for a mathematics major.

Using statistical software packages for data analysis. Problems parallel assignments in 571. (FA)

572 Statistical Methods for Research II (3:3).

Pr. 571 and 571L or permission of instructor

Coreq. 572L.

Statistical methodology in research and use of statistical software. Regression, confidence intervals, hypothesis testing, design and analysis of experiments, one and two-factor analysis of variance, multiple comparisons, hypothesis tests. (SP)

572L Statistical Methods Laboratory II (1:0:2).

Pr. 571 and 571L or permission of instructor

Coreq. 572.

Using statistical software packages for data analysis. Problems parallel assignments in 572. (SP)

573 Theory of Linear Regression (3:3).

Pr. grade of at least C in 352 and MAT 310, or 662, or permission of instructor.

Linear regression, least squares, inference, hypothesis testing, matrix approach to multiple regression. Estimation, Gauss-Markov Theorem, confidence bounds, model testing, analysis of residuals, polynomial regression, indicator variables.

574 Theory of the Analysis of Variance (3:3).

Pr. grade of at least C in 573 or permission of instructor.

Multivariate normal distribution, one-way analysis of variance, balanced and unbalanced two-way analysis of variance, empty cells, multiple comparisons, special designs, selected topics from random effects models.

575 Nonparametric Statistics (3:3).

Pr. grade of at least C in 352 or 572 or 662, or permission of instructor.

Introduction to nonparametric statistical methods for the analysis of qualitative and rank data. Binomial test, sign test, tests based on ranks, nonparametric analysis of variance, nonparametric correlation and measures of association. (Even FA)

593, 594 Directed Study in Statistics (1 to 3), (1 to 3). (FA,SP)