STATISTICS - STAT

Revised June 2006

Offered through the Mathematical Sciences Department of the College of Arts and Sciences
SSB (old CAS), Room 154, 786-1742/4824


STAT A252
Elementary Statistics
3.0 CR.
Contact Hours: 3 + 0

Prerequisite: MATH 105 with minimum grade of C
Registration Restrictions: If prerequisite is not satisfied, appropriate SAT, ACT, or AP scores or approved UAA Placement Test required.
Course Attributes: UAA GER Quantitative Skills Requirement.
Lab Fee: $7.00
Special Note: A student may apply no more than 3 credits from STAT A252 or BA A273 toward the graduation requirements for a baccalaureate degree.
Course Description:
Introduction to statistical reasoning. Emphasis on concepts rather than in-depth coverage of traditional statistical methods. Topics include sampling and experimentation, descriptive statistics, probability, binomial and normal distributions, estimation, single sample and two sample hypothesis tests for means and proportions. Additional topics will be selected from descriptive methods in regression and correlation, or contingency table analysis.
 
 
STAT A253
Applied Statistics for the Sciences
4.0 CR.
Contact Hours: 4 + 0

Prerequisite: MATH A107 or MATH A109
Registration Restrictions: If prerequisite is not satisfied, appropriate SAT, ACT, or AP scores or approved UAA Placement Test required.
Course Attributes: UAA GER Quantitative Skills Requirement.
Special Note: May not be used to satisfy the University Quantitative Skills General Education Requirement.
Lab Fee: $7.00
Course Description:
Intensive statistics course with application to the sciences. Topics include descriptive statistics, probability, binomial, Poisson and normal distributions, estimation and hypothesis testing of common parameters, analysis of variance for single factor and two factors, correlation, and simple linear regression. A major statistical software package will be utilized .
 
 
STAT A307
Probability
3.0 CR.
Contact Hours: 3 + 0

Prerequisite: MATH A200 with minimum grade of C, or MATH A272 with minimum grade of C.
Course Attributes: UAA GER Quantitative Skills Requirement.
Course Description:
Probability, applied combinatorics, random variables, multivariate random variables, discrete distributions, continuous distributions, expectations, and estimation.
 
 
STAT A308
Intermediate Statistics for the  Sciences
3.0 CR.
Contact Hours: 3 + 0

Prerequisite: STAT A252 or STAT A253 or STAT A307
Registration Restrictions: 100-level Natural Sciences course and a 100-level Social Sciences course, junior standing, and completion of GER Tier-1 (basic college-level skills) courses.
Course Attributes: UAA GER Integrated Capstone.
Course Description:
Introduction to statistical experimentation and research methods with applications to natural and social sciences. General concepts of estimation, and inferences. Systematic coverage of the more widely used statistical methods, including simple and multiple regression, single factor and multifactor analysis of variance, multiple comparisons, goodness of fit tests, contingency tables, nonparametric procedures, and power of tests. At least one major statistical package is introduced to aid calculations required for many of the techniques. Students are expected to make a presentation in an applied field and complete a data-based project as part of the course requirement.
 
 
STAT A402
Scientific Sampling
3.0 CR.
Contact Hours: 3 + 0

Prerequisite: STAT A252 or STAT A253 or STAT A307
Course Description:
Sampling methods including simple random, stratified, systematic, and cluster. Special emphasis is placed on estimation procedures including ratio and regression methods, and topics selected from: allocations, direct sampling, inverse sampling, randomized response sampling, computer simulation of random variates, bootstrap, jackknife, and cross validation.
 
 
STAT A403
Regression Analysis
3.0 CR.
Contact Hours: 3 + 0

Prerequisite: STAT A308
Course Description:
Simple and multiple regression, statistical inferences in regression, matrix formulation of regression, polynomial regression, ridge regression, nonlinear regression, and normal correlation models. A major statistical package is used as a tool to aid calculations required for many of the techniques.
 
 
STAT A404
Analysis of Variance
3.0 CR.
Contact Hours: 3 + 0

Prerequisite: STAT A308
Course Description:
Single factor models, factor effects, nonparametric tests, two factor models, random and mixed effects models, multifactor studies, analysis of covariance, and selected experimental designs. A major statistical package is used as a tool to aid calculations required for many of the techniques.
 
 
STAT A405
Nonparametric Statistics
3.0 CR.
Contact Hours: 3 + 0

Prerequisite: STAT A308
Course Description:
Nonparametric methods including the binomial test and sign test. Contingency tables with chi-squared tests and goodness-of-fit tests. Tests based on ranks including the Wilcoxon signed rank test, Mann-Whitney U-test, Kruskal-Wallis test, Friedman test, rank correlation, and Kolmogorov-Smirnov type tests. A major statistical package is used as a tool to aid calculations required for many of the techniques.
 
 
STAT A407
Time Series Analysis
3.0 CR.
Contact Hours: 3 + 0

Prerequisite: STAT A307  or STAT A308
Course Description:
Decomposition of time series, seasonal adjustment methods, and index numbers. Forecasting models including causal models, trend models, and smoothing models. Additional topics include autoregressive (AR) forecasting models, moving average (MA) forecasting models, and integrated (ARIMA) forecasting models. A major statistical package is used as a tool to aid calculations required for many of the techniques.
 
 
STAT A408
Multivariate Statistics
3.0 CR.
Contact Hours: 3 + 0

Prerequisite: STAT A308
Course Description:
Multivariate statistical methods including exploratory data analysis, geometrical interpretation of multivariate data, multivariate tests of hypothesis, multivariate analysis of variance, multivariate multiple regression, principal components, factor analysis, discriminant analysis, cluster analysis, and multidimensional scaling. A major statistical package is used as a tool to aid calculations required for many of the techniques.
 
 
 
STAT A490
Selected Topics in Statistics
3.0 CR.
Contact Hours: 1-3 + 0
 Registration Restriction:  Instructor's permission and a designated  STAT course.
 Special Note: Depending on topics selected, use of a statistical package may be required. May be repeated for credit with a change in subtitle.
Advanced topics in statistics selected as a continuation of, or a complement to, the content of upper-division undergraduate statistics courses. Emphasis on applications.
STAT A601
Statistical Methods
3.0 CR.
Contact Hours: 3 + 0

Prerequisite: STAT A252 or STAT A253
Course Description:
Parametric and nonparametric methods in research for graduate students majoring in natural sciences or social sciences. The topics are selected from, but not restricted to, contingency tables and chi-squared tests, correlation, simple linear regression and multiple regression, design and analysis of variance, logistic regression, and introduction to multivariate statistics. A major statistical package is used as a tool to aid calculations for many of the techniques. A research project is required from each student as part of the course requirement.
 
 
MATH A371 
Stochastic Processes
3.0 CR.
Contact Hours: 3 + 0

Prerequisite: STAT A307 and MATH A201
Course Description:
Theory and applications, including moment generating functions, conditional expectation, Poisson process, Markov chains, and topics selected from: branching processes, queuing theory, random walks, and reliability theory.
 
 
MATH A407
Mathematical Statistics I
3.0 CR.
Contact Hours: 3 + 0

Prerequisite: STAT A307 and MATH A202
Course Description:
Topics include random variables, distribution functions, expectation and moment generating functions, joint and conditional distributions, stochastic independence, conditional expectation, distributions of functions of random variables, convergence concepts, and parametric estimation by maximum likelihood.
 
 
MATH A408
Mathematical Statistics II
3.0 CR.
Contact Hours: 3 + 0

Prerequisite: MATH A407
Course Description:
Topics Include sampling distributions, order statistics, point estimation, maximum likelihood estimators, consistency, unbiasedness, mean square error, Cramer-Rao lower bound, asymptotics of statistics, sufficient statistics, uniformly minimum variance and unbiased (UMVU) estimators, confidence intervals and hypothesis testing, lemma of Neyman Pearson, and statistical decision theory.

If you have any questions, email Professor Sam Thiru by clickingAFKT@UAA.ALASKA.EDU.