| 100QC. Introduction
to Statistics I
Either semester. Four credits. Recommended preparation: MATH 101 or
equivalent. Three class periods and one discussion period. See
credit restrictions
above.
A standard approach to statistical analysis primarily for students of
business and economics; elementary probability, sampling distributions,
normal theory estimation and hypothesis testing, regression and correlation,
exploratory data analysis. Learning to do statistical analysis on a personal
computer is an integral part of the course. |
| 110QC. Elementary
Concepts of Statistics
Either semester. Four credits. Recommended preparation: MATH 101 or
equivalent. Three class periods and one discussion period. See
credit restrictions
above.
Standard and nonparametric approaches to statistical analysis; exploratory
data analysis, elementary probability, sampling distributions, estimation
and hypothesis testing, one- and two-sample procedures, regression and
correlation. Learning to do statistical analysis on a personal computer
is an integral part of the course. |
| 200. Undergraduate Seminar
I
Either semester. One credit. Prerequisite: STAT 201 or 242; and STAT
220 or 230.
The student will attend 6-8 seminars per semester, and choose
one statistical topic to investigate in detail. The student will write
a well-revised, comprehensive paper on this topic, including a literature
review, description of technical details, and a summary and discussion.
|
| 201Q. Introduction
to Statistics II
Either semester. Three credits. Prerequisite: STAT 100 or 110. Open
to sophomores or higher.
Analysis of variance, multiple regression, chi-square tests, and non-parametric
procedures. |
| 202W. Undergraduate
Seminar II
Either semester. One credit. Prerequisite: STAT 201 or 242; and STAT
220 or 230, and STAT 200; ENGL 105 or 110 or 111 or
250
The student will attend 6-8 seminars per semester, and choose
one statistical topic to investigate in detail. The student will write
a well revised comprehensive paper on this topic, including a literature
review, description of technical details, and a summary and discussion,
building upon the writing experience in STAT 200.
|
| 220Q .
Statistical Methods (Calculus Level)
Either semester. Three credits each semester. Prerequisite: MATH 114
or 116 or 121. Students may not receive more than three credits from STAT
220 and STAT 224.
Basic probability distributions, point and interval estimation, tests
of hypotheses, correlation and regression, analysis of variance, experimental
design, non-parametric procedures.
|
| 221. Statistical
Methods (Calculus Level)
Either semester. Three credits each semester. Prerequisite: MATH 114
or 116 or 121.
Basic probability distributions, point and interval estimation, tests
of hypotheses, correlation and regression, analysis of variance, experimental
design, non-parametric procedures.
|
| 224Q. Probability
Models for Engineers
Either semester. Three credits. Prerequisite: MATH 210Q or 220Q. Students
may not receive more than three credits from STAT 224 and STAT 220 or from
STAT 224 and STAT 230.
Probability set functions, random variables, expectations, moment generating
functions, discrete and continuous random variables, joint and conditional
distributions, multinomial distribution, bivariate normal distribution,
functions of random variables, central limit theorems, computer simulation
of probability models. |
| 230Q.
Introduction to Mathematical Statistics
Both semesters. Three credits. Prerequisite: MATH 210 or 220. Students
may not receive credit for both STAT 230 and STAT 224, or both STAT 230
and 315.
The mathematical theory underlying statistical methods. Probability
spaces, distributions in one and several dimensions, generating functions,
limit theorems, sampling, parameter estimation. Neyman-Pearson theory of
hypothesis testing, correlation, regression, analysis of variance. |
| 231.
Introduction to Mathematical Statistics
Both semesters. Three credits. Prerequisite: STAT 230Q. Students may
not receive credit for both STAT 231 and STAT 316.
The mathematical theory underlying statistical methods. Probability
spaces, distributions in one and several dimensions, generating functions,
limit theorems, sampling, parameter estimation. Neyman-Pearson theory of
hypothesis testing, correlation, regression, analysis of variance. |
| 235. Elementary
Stochastic Processes
(Also offered as MATH 232.) Either semester. Three credits. Prerequisite:
STAT 220 or 224 or
230 or
MATH 231. Not open for credit to students who
have passed MATH 232.
Conditional distributions, discrete and continuous time Markov chains,
limit theorems for Markov chains, random walks, Poisson processes, compound
and marked Poisson processes, and Brownian motion. Selected applications
from actuarial science, biology, engineering, or finance. |
| 242Q. Analysis of Experiments
Either semester. Three credits. Prerequisite: STAT 201 or 220 or consent
of instructor. Credit may not be received for both STAT 242 and 342.
Straight-line regression, multiple regression, regression diagnostics,
transformations, dummy variables, one-way and two-way analysis of variance,
analysis of covariance, stepwise regression. |
| 243Q. Design of Experiments
Second semester. Three credits. Prerequisite: STAT 201 or 220 or consent
of instructor. Credit may not be received for both STAT 243 and 343.
Methods of designing experiments utilizing regression analysis and the
analysis of variance. |
| 252. Sampling Theory
Either semester. Three credits. Prerequisite: STAT 231 or instructor
consent.
Sampling and nonsampling error, bias, sampling design, simple random
sampling, sampling with unequal probabilities, stratified sampling, optimum
allocation, proportional allocation, ratio estimators, regression estimators,
super population approaches, inferences in finite populations. |
| 253. Nonparametric Methods
First semester. Three credits. Prerequisite: STAT 231 or instructor
consent.
Basic ideas, the empirical distribution function and its applications,
uses of order statistics, one- two- and c-sample problems, rank correlation,
efficiency. |
| 261QC. Statistical Computing
Second semester. Four credits. Prerequisite: STAT 220 or STAT 230. Recommended
preparation: An applied statistics course. Open only with consent of instructor.
Introduction to computing for statistical problems; obtaining features
of distributions, fitting models and implementing inference (obtaining
confidence intervals and running hypothesis tests); simulation-based approaches
and basic numerical methods. One hour per week devoted to computing and
programming skills. |
| 271C.
Statistical Quality Control and Reliability
Either semester. Three credits. Prerequisite: STAT 231.
Development of control charts, acceptance sampling and process capability
indices, reliability modeling, regression models for reliability data,
and proportional hazards models for survival data. |
| 272. Introduction
to Biostatistics
Either semester. Three credits. Prerequisite: STAT 220 or consent of
instructor.
Rates and proportions, sensitivity, specificity, two-way tables, odd
ratios, relative risk, ordered and non-ordered classifications, trends,
case-control studies, elements of regression including logistic and Poisson,
additivity and interaction, combination of studies and meta-analysis. |
| 272Q. Introduction
to Biostatistics
Either semester. Three credits. Prerequisite: STAT 220 or an applied
statistics course along with either STAT 230 or MATH 231 or instructor
consent. |
| 280C. Applied Time Series
Either semester. Three credits. Prerequisite: STAT 231 or consent of
instructor.
Introduction to prediction using time-series regression methods with
non-seasonal and seasonal data. Smoothing methods for forecasting. Modeling
and forecasting using univariate, autoregressive, moving average models. |