STAT-STATISTICS --
2003-05 Catalog
Statistics Department
STAT
130 Introduction to Statistical
Reasoning (4) GE B1
Survey
of statistical ideas and philosophy. Emphasis on concepts rather than in-depth
coverage of statistical methods. Topics include sampling, experimentation, data
exploration, chance phenomena, and methods of statistical inference. Credit not
allowed for students with a previous statistics course. 4 lectures.
Prerequisite: Appropriate score on the ELM examination for MATH 116
eligibility, or an ELM exemption, or MATH 104.
STAT
150 Introduction to Statistical
Investigations (4)
Orientation
to the statistics program. Introduction to the discipline of statistics and the
nature of statistical reasoning. Design of surveys and experiments, graphical
and numerical summaries, statistical models, and interpretation of results.
Development of discussion, writing, presentation, and evaluation skills. 4
lectures.
STAT
200 Special Problems for Undergraduates
(1–2)
Individual
investigation, research, studies, or surveys of selected problems. Total credit
limited to 4 units, with a maximum of 2 units per quarter. Prerequisite:
Consent of department head.
STAT
211 Elementary Probability and Statistics
(3)
Classification
of statistical data. Calculation and uses of various averages, measures of
variability, elementary probability. Binomial and normal distributions. Random
sampling, confidence intervals. Introduction to hypothesis testing. 3 lectures.
Prerequisite: Intermediate algebra, appropriate score on ELM.
STAT
212 Statistical Methods (2)
Tests
of hypotheses and confidence intervals on common parameters, linear regression
and correlation, analysis of variance, and analysis of enumerative data. 2
lectures. Prerequisite: STAT 211 or equivalent.
STAT
217 Introduction to Statistical
Concepts and Methods (4) GE B1
Sampling
and experimentation, descriptive statistics, confidence intervals, two-sample
hypothesis tests for means and proportions, Chi-square tests, linear and
multiple regression, analysis of variance. Not open to students with credit in
STAT 212 or STAT 218 or STAT 221 or STAT 251. 4 lectures. Prerequisite:
Appropriate score on the ELM examination for MATH 116 eligibility, or an ELM
exemption, or MATH 104.
STAT
218 Applied Statistics for the Life
Sciences (4) GE B1
Data
collection and experimental design, descriptive statistics, confidence
intervals, parametric and non parametric one and two-sample hypothesis tests,
analysis of variance, correlation, simple and multiple linear regression,
chi-square tests. Applications of statistics to the life sciences. Use of a
statistical computer package. Not open to students with credit in STAT 212 or
STAT 217 or STAT 221 or STAT 251. 4 lectures. Prerequisite: Appropriate score
on the ELM examination for MATH 116 eligibility, or an ELM exemption, or MATH
104.
STAT
221 Introduction to Probability and
Statistics (5) GE B1
Data
classification, descriptive statistics, elementary probability. Binomial and
normal distributions. Random sampling, confidence intervals and hypothesis
testing on common parameters. Introduction to regression and correlation,
analysis of variance, contingency table analysis. Not open to students with
credit in STAT 217 or STAT 218. 5 lectures. Prerequisite: Appropriate score on
the ELM examination for MATH 116 eligibility, or an ELM exemption, or MATH 104.
STAT
251 Statistical Inference for
Management I (4) GE B1
Descriptive
statistics. Probability and counting rules. Random variables and probability
distributions. Sampling distributions. Large sample point and interval
estimation of population parameters. Large sample hypothesis tests for
population means and proportions. 4 lectures. Prerequisite: Completion of the ELM
requirement and a passing score on appropriate Mathematics Placement
Examination for MATH 221 eligibility, or MATH 118 or equivalent.
STAT
252 Statistical Inference for
Management II (5) GE B1
Small
sample confidence intervals and hypothesis tests. Introduction to ANOVA,
regression, correlation, multiple regression, time series, and forecasting.
Statistical quality control. Enumerative data analysis. Statistical software
used throughout course. 5 lectures. Prerequisite: STAT 251 with a minimum grade
of C-.
STAT
312 Statistical Methods for Engineers
(4) GE B6
Descriptive
and graphical methods. Discrete and continuous probability distributions. One
and two sample confidence intervals and hypothesis testing. Single factor
analysis of variance. Quality control. Introduction to regression and to
experimental design. Use of computer to solve problems. 4 lectures.
Prerequisite: MATH 142
STAT
313 Applied Experimental Design and
Regression Models (4) GE B1
Analysis
of variance and regression analysis for students not majoring in statistics or
mathematics. Includes one-way classification, randomized blocks, Latin squares,
factorial designs, multiple regression, diagnostics, and model comparison. 4 lectures. Prerequisite: STAT 212 or STAT
217 or STAT 218 or STAT 221.
STAT
321 Probability and Statistics for
Engineers and Scientists (4) GE B6
tabular
and graphical methods for data summary, numerical summary measures, probability
concepts and properties, discrete and continuous probability distributions,
expected values, statistics and their sampling distributions, point estimation,
confidence intervals for a mean and proportion. Use of MINITAB computer
package. 4 lectures. Prerequisite: MATH 142.
STAT
322 Statistical Analysis for Engineers
and Scientists (4)
Confidence
intervals, hypothesis testing, one and two-factor analysis of variance, simple
linear regression, nonlinear and multiple regression, chi-square tests,
introduction to statistical quality control. 4 lectures. Prerequisite: STAT
321.
STAT
323 Design and Analysis of Experiments
I (4)
Principles,
construction and analysis of experimental designs. Includes completely
randomized, randomized complete block, Latin squares, Graeco Latin squares,
factorial, and nested designs. Fixed and random effects, expected mean squares,
multiple comparisons, and analysis of covariance. 4 lectures. Prerequisite:
STAT 322.
STAT
324 Applied Regression Analysis (4)
Simple
linear regression and associated special topics, multiple linear regression,
indicator variables, influence diagnostics, assumption analysis, selection of
"best subset", nonstandard regression models, logistic regression,
nonlinear regression models. 4 lectures. Prerequisite: STAT 252 or STAT 313 or
STAT 322.
STAT
330 Statistical Computing I: SAS (4)
Techniques
available to the statistician for efficient use of computers to perform
statistical computations and to analyze large amounts of data. Use of SAS
throughout the course. Includes data preparation, report writing, and basic
statistical methods. 4 lectures. Prerequisite: STAT 212 or STAT 252 or STAT 313
or STAT 322.
STAT
350 Probability and Random Processes
for Engineers (4) GE B6
Random
events, random variables, and random processes, with emphasis on probabilistic
treatment of signals and noise. Specific topics include: sample spaces,
probability, distributions, independence, moments, covariance, time/ensemble
averages, stationarity, common processes, correlation and spectral functions,
physical noise sources. 4 lectures. Prerequisite: MATH 241, EE 228.
STAT
400 Special Problems for Advanced
Undergraduates (1–2)
Individual
investigation, research, studies or surveys of selected problems. Total credit
limited to 4 units, with a maximum of 2 units per quarter. Prerequisite:
Consent of department head.
STAT
416 Statistical Analysis of Time Series
(4)
Time
series components, descriptive smoothing methods, regression models for time
series data, forecasting via exponential smoothing, evaluation of forecasts,
autocorrelation, ARIMA models and Box-Jenkins methods, combining forecasts,
frequency domain analysis, filtering. 4 lectures. Prerequisite: STAT 252 or
STAT 322.
STAT
418 Analysis of Cross-Classified Data
(4)
Discrete
multivariate statistics, including analysis of cross-classified data,
log-linear models for multidimensional contingency tables, goodness of fit
statistics, measures of association, model selection, and hypothesis testing. 4
lectures. Prerequisite: Two courses in statistics and MATH 206.
STAT
419 Applied Multivariate Statistics (4)
Continuous
multivariate statistics. Multivariate linear model, principal components and
factor analysis, discriminant analysis, clustering, and canonical correlation.
Use of Minitab and SAS throughout the course. 4 lectures. Prerequisite: Two
courses in statistics and MATH 206, or consent of instructor.
STAT
421 Sampling Techniques (4)
Planning,
execution, and analysis of sampling from finite populations. Sampling designs,
including simple random, stratified, systematic, cluster and two-stage cluster.
Estimation procedures and sample size calculations. Post-stratification
techniques. Estimating population size. 4 lectures. Prerequisite: One of the
following: STAT 212, STAT 217, STAT 218, STAT 221, STAT 252, STAT 322, or STAT
512.
STAT
423 Design and Analysis of Experiments
II (4)
Continuation
of STAT 323. 2k factorial designs, 3k factorial designs,
balanced and partially balanced incomplete block designs, nested designs,
split-plot designs, response surface methodology, confounding, repeated
measures, and other design approaches. 4 lectures. Prerequisite: STAT 323.
STAT
425 Probability Theory (4)
Basic
probability theory, combinatorial methods, stochastic independence, conditional
and marginal probability, probability models for random phenomena, random
variables, probability distributions, distributions of functions of random
variables, mathematical expectation, covariance and correlation, conditional
expectation. 4 lectures. Prerequisite: STAT 321, MATH 241, and MATH 248.
STAT
426 Estimation and Sampling Theory (4)
Properties
of statistics obtained from samples. Sample mean properties, convergence in
probability, law of large numbers, and central limit theorem. Selected
probability distributions. Theory of estimation. Sampling distribution of
estimators. Introduction to hypothesis testing. 4 lectures. Prerequisite: STAT
425.
STAT
427 Mathematical Statistics (4)
The
theory of hypothesis testing and its applications. Nonparametric methods.
Linear statistical models including linear regression, and analysis of
variance. The general linear model, full-rank models, constrained models, and
tests of linear hypotheses. 4 lectures. Prerequisite: STAT 426.
STAT
430 Statistical Computing II: S-Plus
(4)
Design
and use of statistical software in programming statistical applications; object
oriented statistical languages; random number generation; Monte Carlo methods
including resampling (bootstrap and jack-knife), randomization tests, and
simulation; exploratory data analysis using linked, Trellis, and dynamic
graphics; smoothing algorithms; and regression trees. 4 lectures. Prerequisite:
STAT 322, STAT 330, and STAT 323 or STAT 324.
STAT
461, 462 Senior Project (1) (2)
Selection
and completion of a project under faculty supervision. Projects typical of
problems which graduates must solve in their fields of employment. Project
results are presented in a formal report. Minimum 90 hours total time.
STAT
465 Statistical Communication and
Consulting (4)
Blending
of the theoretical and practical aspects of statistical consulting. Development
of tools necessary to conduct effective consulting sessions, present oral
arguments and written reports, work collaboratively to solve problems, and
utilize professional publications in statistics. 2 lectures, 2 activities.
Prerequisite: Successful completion of at least one STAT 400-level course and
senior standing.
STAT
470 Selected Advanced Topics (1–4)
Directed
group study of selected topics for advanced students. Open to undergraduate and
graduate students. Class Schedule
will list topic selected. Total credit limited to 8 units. 1–4 lectures.
Prerequisite: Consent of instructor.
STAT
485 Cooperative Education Experience
(6) (CR/NC)
Part-time
work experience in business, industry, government, and other areas of student
career interest. Positions are paid and usually require relocation and
registration in course for two consecutive quarters. Formal report and
evaluation by work supervisor required. Total credit limited to 16 units.
Credit/No Credit grading only. Prerequisite: Sophomore standing and consent of
instructor.
STAT
495 Cooperative Education Experience
(12) (CR/NC)
Full-time
work experience in business, industry, government, and other areas of student
career interest. Positions are paid and usually require relocation and
registration in course for two consecutive quarters. Formal report and
evaluation by work supervisor required. Total credit limited to 16 units.
Credit/No Credit grading only. Prerequisite: Sophomore standing and consent of
instructor.
STAT
512 Statistical Methods (4)
Statistical
methods in research for graduate students not majoring in mathematical
sciences. Probability distributions, confidence intervals, hypothesis testing,
contingency tables, linear regression and correlation, multiple regression,
analysis of variance. Use of computer packages. 4 seminars. Prerequisite:
Graduate standing and intermediate algebra or equivalent.
STAT
513 Applied Experimental Design and
Regression Models (4)
Applications
of statistics for graduate students not majoring in mathematics. Analysis of
variance including the one-way classification, randomized blocks, Latin
squares, and factorial designs. Introduction to multiple regression and to
analysis of covariance. Use of computer software in the solution of statistical
problems. 4 lectures. Not open to students with credit in STAT 313.
Prerequisite: One of the following: STAT 512, STAT 212, STAT 217, STAT 218,
STAT 221, STAT 252, or equivalent.
STAT
530 Statistical Computing I: SAS (4)
Techniques
available to the statistician for efficient use of computers to perform
statistical computations and to analyze large amounts of data. Use of the SAS
software system. Includes data preparation, report writing, basic statistical
methods, and a research project. Not open to students with credit in STAT 330.
4 lectures. Prerequisite: STAT 512 or STAT 513 or STAT 542 or equivalent
STAT
542 Statistical Methods for Engineers
(4)
Descriptive
and graphical methods. Discrete and continuous probability distributions. One
and two sample confidence intervals and hypothesis testing. Single factor
analysis of variance. Quality control. Introduction to regression and to
experimental design. Use of computer to solve problems. 4 lectures.
Prerequisite: MATH 142 and graduate standing.