Undergraduate Brochure


The Department of Statistics offers undergraduate programs leading to both a bachelor of arts and a bachelor of science degree in statistics. The undergraduate program is aimed both at preparing students for careers in statistics and serving as a good foundation for graduate work in the area. The department also offers graduate programs leading to the MA and PhD degrees. A minor in statistics also is available.

The field of statistics is a rapidly expanding one, both at the theoretical and applied levels. Statisticians are in demand not only from the business community and various branches of state and federal government but also in the bio-medical areas. Some specific examples of problems that statisticians work on include: designing and analyzing the results of experiments to determine which of two or more methods of performing a task is most effective; estimating the quality and/or lifetimes of items such as pacemakers, tires, transistors, etc.; public opinion surveys on political issues and consumer behavior and preferences; estimating mortality and accident rates for various segments of the population and determining the associated premium rates; and the reduction, analysis, and interpretation of data that have been collected by space vehicles.

In addition to the Albert Winemiller Scholarship, the department offers limited finaical support. The availability and amount of support varies from semester to semester. Advanced undergraduate students may be used as graders; applications are available in the department office. Also, the department frequently is called upon to recommend qualified students as tutors.


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BS and AB Requirements for Statistics Degrees

Requirements for the BS Degree: Traditional Track

· Statistics: 21 credit hours of course work, including STAT 302 (the capstone course).
· Mathematics: MATH 80, MATH 175, and MATH 201 (Calculus I, II, and III); MATH 331 (Matrix Theory) or MATH 340 and MATH 341 (Abstract Algebra).
· Additional Departmental Requirements: CECS 101 (Introduction to Problem Solving and Programming), one additional 3--credit course in computing at the 100+ level, ENGL 162 (Professional Writing).
· Foreign Language / Special Emphasis Area: The foreign language requirement consists of 12 credit hours of course work. Students may elect to substitute a special emphasis area in place of a foreign language, which consists of 12 credit hours of course work at the 100+ level in an area of specialization: e.g., mathematical sciences, biological sciences, behavioral sciences, physical sciences, business, engineering.
· General Education Requirements: Includes 9 credit hours chosen from courses in the social and behavioral sciences, and 9 credit hours chosen from courses in the humanities and fine arts.

Requirements for the BS Degree: Applied Track

· Statistics: STAT 150 and STAT 250, STAT 305, STAT 307, STAT 385, STAT 395, STAT 302, plus 6 credit hours of approved 300+ level course work in statistics or statistical applications. Possible course choices for the 6 elective hours include STAT 300, STAT 345, STAT 360, STAT 370, SOC 375 (Social Statistics), SOC 376 (Advanced Social Statistics), PSYCH 419 (Advanced Psychological Statistics I), PSYCH 420 (Advanced Psychological Statistics II), PSYCH 421 (Advanced Techniques in Psychological Statistics), ECON 368 (Macroeconomic Forecasting), BUS 324 (Managerial Statistics), BUS 326 (Managerial Decision Science), MKTG 313 (Marketing Research), MKTG 360 (Quantitative Analysis in Marketing).
· Mathematics: MATH 60 (Finite Mathematics), MATH 61 (Elements of Calculus).
· Additional Departmental Requirements: CECS 101 (Introduction to Problem Solving and Programming), one additional 3--credit course in computing at the 100+ level, ENGL 162 (Professional Writing).
· Foreign Language / Special Emphasis Area: The foreign language requirement consists of 12 credit hours of course work. Students may elect to substitute a special emphasis area in place of a foreign language, which consists of 12 credit hours of course work at the 100+ level in an area of specialization: e.g., mathematical sciences, biological sciences, behavioral sciences, physical sciences, business, engineering.
· General Education Requirements: Includes 9 credit hours chosen from courses in the social and behavioral sciences, and 9 credit hours chosen from courses in the humanities and fine arts.

Requirements for the AB Degree: Traditional Track

· Statistics: 21 credit hours of course work, including STAT 302 (the capstone course).
· Mathematics: MATH 80, MATH 175, and MATH 201 (Calculus I, II, and III); MATH 331 (Matrix Theory).
· Additional Departmental Requirements: CECS 101 (Introduction to Problem Solving and Programming).
· Foreign Language: Consists of 12 credit hours of course work.
· General Education Requirements: Includes 5 or 6 credit hours chosen from courses in the behavioral sciences, 9 credit hours chosen from courses in the social sciences, and 12 credit hours chosen from courses in the humanities and fine arts.

Requirements for the AB Degree: Applied Track

· Statistics: STAT 150 and STAT 250, STAT 305, STAT 307, STAT 385, STAT 395, STAT 302 plus 6 credit hours of approved 300+ level course work in statistics or statistical applications. Possible course choices for the 6 elective hours include STAT 300, STAT 345, STAT 360, STAT 370, SOC 375 (Social Statistics), SOC 376 (Advanced Social Statistics), PSYCH 419 (Advanced Psychological Statistics I), PSYCH 420 (Advanced Psychological Statistics II), PSYCH 421 (Advanced Techniques in Psychological Statistics), ECON 368 (Macroeconomic Forecasting), BUS 324 (Managerial Statistics), BUS 326 (Managerial Decision Science), MKTG 313 (Marketing Research), MKTG 360 (Quantitative Analysis in Marketing).
· Mathematics: MATH 60 (Finite Mathematics), MATH 61 (Elements of Calculus).
· Additional Departmental Requirements: CECS 101 (Introduction to Problem Solving and Programming).
· Foreign Language: Consists of 12 credit hours of course work.
· General Education Requirements: Includes 5 or 6 credit hours chosen from courses in the behavioral sciences, 9 credit hours chosen from courses in the social sciences, and 12 credit hours chosen from courses in the humanities and fine arts.


Requirements for a Minor in Statistics

A minimum of 15 hours in statistics courses at the 200 level and above, chosen in consultation with and approved by a departmental adviser.

One of the following courses must be included in the 15 hours of study: Stat 207 Statistical Analysis (3), 250 Introduction to Probability and Statistics II (3), 320 Introduction to Mathematical Statistics (3), 325 Introduction to Probability Theory (3), or 326 Statistical Inference (3). A maximum of 3 of t he 15 hours may be in 300 Problems (1-3) or 301 Topics (cr. arr.)

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Courses and Descriptions

25 INTRODUCTORY STATISTICAL REASONING (3).
Statistical concepts and critical reasoning needed to evaluate conclusions based on quantitative information in health studies, opinion polls, etc. Prerequisite: Grade C or better in Math 10, 14, or 15 or MM PT score 26 or above. Students may not receive credit for both Statistics 25 and 31.
31 ELEMENTARY STATISTICS (3).
Collection and presentation of data; averages; dispersion; introduction to statistical inference, regression, and correlation. Prerequisite: Grade C or better in Math 10 or 14 or 15 or an MMPT score of 26 or above.
150 INTRODUCTION TO PROBABILITY AND STATISTICS I (3).
Designed primarily for students in the College of Business and Public Administration. Probability theory; random variables; expectation; probability distributions; descriptive statistics; sampling distributions. Computer is used to assist in learning concepts. Prerequisite: Grade C or better in Math 60. f, w,s.
185 STATISTICAL METHODS IN NATURAL RESOURCES (3).
Statistical methods with emphasis on applications to natural resources and including computer exercises. Prerequisite: Math 108 and a college level computer course. No credit if student has had 150 or 250.
207 STATISTICAL ANALYSIS (3).
For graduate students and superior seniors with no previous training in statistics. Intensive study of concepts, techniques of statistical analysis, and their applications. Prerequisite: Math 10 or equivalent. f, w, s.
215 ELEMENTS OF PROBABILITY AND STATISTICS (3).
Primarily for middle and secondary mathematics education students. Probability, random variables, expectations, descriptive statistics, estimation, hypothesis testing, and regression. Introduction to materials for middle and secondary school use. Prerequisite: Math 61 or Math 80 or equivalent.
250 INTRODUCTION TO PROBABILITY AND STATISTICS II (3).
Continuation of 150. Estimation; hypothesis testing; regression; correlation; statistical decision theory; Bayesian inference. Computer is used to assist in learning concepts. Prerequisite: Grade C or better in Stat 150. f, w, s.
292 STATISTICAL METHODS IN THE HEALTH SCIENCES (3).
Basic inference methods, both parametric and nonparametric, appropriate for answering questions arising in health sciences research. Computer exercises involving data from real experiments from health science area. Prerequisite: Math 10 and graduate standing or instructor's consent.
298 HONORS (2).
Special work for honors candidates in statistics.
299 HONORS (2).
Special work for honors candidates in statistics.
300 PROBLEMS (1- 3).
Independent investigations; reports on approved topics. Prerequisite: instructor's consent. f, w, s.
301 TOPICS (cr. arr.)
Organized study of selected topics. Subjects and earnable credit may vary from semester to semester. Repeatable with departmental consent. Prerequisite: junior standing and instructor's consent.
302 SENIOR SEMINAR (3).
A capstone course required of and open only to senior statistics majors. Students will participate in statistical consulting, attend colloquia, and review articles in professional journals. Writing of reports will be emphasized.
305 STATISTICAL SOFTWARE AND DATA ANALYSIS (3).
Programming with major statistical packages emphasizing data management techniques and statistical analyses for regression, analysis of variance, categorical data, descriptive statistics, nonparametric analyses, and other selected topics. Prerequisites: any 200 or above course in the Statistics Department or instructor consent.
307 NONPARAMETRIC STATISTICAL METHODS (3).
Statistical methods when the functional form of the population is unknown; applications emphasized; comparisons with parametric procedures; goodness-of-fit; chi-square; comparison of several populations; measures of correlation. Prerequisite: Stat 207 or 250 or 215 or 320 or equivalent.
320 INTRODUCTION TO MATHEMATICAL STATISTICS (3) (same as Math 320).
Introduction to theory of probability and statistics using concepts and methods of calculus. Prerequisite: Math 201 or instructor's consent. No credit for both 215 and 320. f, w, s.
321 STATISTICAL COMPUTING AND SIMULATION (3).
Computing known statistical formulae using statistical software; graphs in three dimensions; computing new formulae and simulating operating characteristics using higher languages. Prerequisite: Stat 320 or equivalent or instructor's consent. f.
325 INTRODUCTION TO PROBABILITY THEORY (3) (same as Mathematics 325).
Probability spaces; random variables and their distributions; repeated trials; probability limit theorems. Prerequisite: Math 201 or instructor's consent. f, w, s.
326 STATISTICAL INFERENCE (3) (same as Math 326).
Sampling; point estimation; sampling distribution; tests of hypotheses; regression and linear hypotheses. Prerequisite: Stat 325. w.
327 THEORY OF NONPARAMETRIC STATISTICS I (3).
A first course in nonparametric statistical methods based on ranks. Both theory and application are emphasized. Two-sample problems; K-sample problems; tests for independence; contingency tables; goodness-of-fit tests. Prerequisite: Stat 320 or instructor's consent.
328 INTRODUCTION TO STOCHASTIC PROCESSES (3).
Study of random processes selected from: Markov chains, birth and death processes, random walks, Poisson processes, renewal theory, Brownian motion, Gaussian processes, white noise, spectral analysis, applications such as queuing theory, sequential tests. Prerequisite: Stat 325.
329 APPLIED PROBABILITY (3).
Probability in its applied context. Designed for senior s and beginning graduate students. Construction of probability models; examples in physical and behavioral sciences; multivariate normal and exponential distributions; extreme value distributions; stochastic processes; queuing. Prerequisite: Stat 325 or equivalent.
345 CATEGORICAL DATA ANALYSIS (3).
Discrete distributions; frequency data; multinomial data; chi-square and likelihood ratio tests; logistic regression; loglinear models; rates; relative risks; random effects; case studies. Prerequisite: Stat 326 and working knowledge of one computer programming language.
360 DEMING PHILOSOPHY & STATISTICAL PROCESS CONTROL (3).
Statistical control charts; economic design of control charts; acceptance sampling; pareto chart and other graphical procedures; Deming philosophy; Taguchi methods. Prerequisite: Stat 320 or 326 or instructor's consent.
370 SAMPLING TECHNIQUES (3).
Theory of probability sampling designs; unrestricted random sampling; stratified sampling; cluster sampling; multistage or subsampling; ratio estimates; regression estimates; double sampling. Prerequisite: Stat 207 or 250 or 215 or 320 or 326. w.
375 OPERATIONS RESEARCH (3).
Study of mathematical and statistical models employed in operations research. Prerequisite: Stat 207 or 250 or 215 or 320 or 326. f.
380 STATISTICAL FORECASTING (3) (same as Mangmt 380, Mrktng 380, Finance 380).
385 REGRESSION AND CORRELATION ANALYSIS (3).
Measurement of relationships among variables including multiple regression, partial correlation, and some nonparametric methods. Prerequisite: Stat 207 or 250 or 215 or 320 or 326 and Math 80. f, w.
386 APPLIED TIME SERIES ANALYSIS (3).
A study of univariate and multivariate time series models and techniques for their analyses . Emphasis on methodology rather than theory. Examples are drawn from a variety of areas including business, economics, and soil science. Prerequisite: Stat 326 or both Stat 320 and 385 or instructor's consent.
395 ANALYSIS OF VARIANCE (3).
Study of analysis of variance and related modeling techniques for cases with fixed, random, and mixed effects. Exposure to designs other than completely randomized designs including factorial arrangements, repeated measures, nested, and unequal sample size designs. Prerequisite: Stat 207 or 250 or 215 or 320 or 326. f, w, s.

Graduate Courses

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Discrimination Disclosure

The University of Missouri-Columbia does not discriminate on the basis of race, color, religion, national origin, ancestry, sex, age, disability, status as disabled veteran, or veteran of the Vietnam era. Any person having inquiries concerning the University of Missouri-Columbia's compliance with implementing Title VI of the Civil Rights Act of 1964, Title IX of the Education Amendments of 1972, Section 504 of the Rehabilitation Act of 1973, or the Americans with Disabilities Act of 1990, is directed to contact the Assistant Vice Chancellor, Human Resource Services, University of Missouri-Columbia, 130 Heinkel Building, Columbia, MO 65211, (573) 882-4256, or Assistant Secretary for Civil Rights, U.S. Department of Education.

In addition to the prohibited discrimination listed above, equal opportunity shall be provided to all regardless of sexual orientation. Any person having inquiries concerning the University of Missouri-Columbia's compliance with this nondiscrimination re solution is encouraged to contact the Assistant Vice Chancellor, Human Resource Services, University of Missouri-Columbia, 130 Heinkel Building, Columbia, MO 65211, (573) 882-4256.

If you have special needs as addressed by the Americans with Disabilities Act and need special arrangements, you may contact the ADA Coordinator of the Department of Statistics, 222 Math Sciences, 882-6376. Reasonable efforts will be made to accommodate your special needs.

For more information on an undergraduate degree in statistics from the University of Missouri - Columbia, send email to: undergrad@stat.missouri.edu

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