Students who desire to specialize in applied statistics may be broadly classified into four groups:
- Those whose interest lie primarily in the study of mathematical statistics as a science, the purpose of such students being usually to continue their studies at the
graduate level in order to become teachers at the college level, or persons otherwise engaged in an occupation in which knowledge of advanced statistics is required;
- Those whose interests lie in the fields of engineering, biology, chemistry, economics, pr physics, with emphasis on applied statistics;
- Those who wish to integrate their program between statistics and related fields of public health, and the health and social sciences;
- Those whose interests lie in the field of economics and the actuarial sciences;
There are two points of entry to the program with respect to prerequisite core courses. Each requires Calculus I & II, and linear algebra. Students intending to pursue further study beyond the undergraduate degree are advised to consider the more advanced math sequence.
Prerequisites to the Major
Students majoring in Applied Statistics must take the following Prerequisites:
|MATH 113||Calc I for Biology & Life Sci||4|
|or MATH 115||Calculus I|
|MATH 114||Calc II for Biology & Life Sci||4|
|or MATH 116||Calculus II|
|MATH 217||Intro to Matrix Algebra||2-3|
|or MATH 227||Introduction to Linear Algebra|
|Total Credit Hours||10-11|
Dearborn Discovery Core Requirement
The minimum passing grade for a Dearborn Discovery Core (DDC) course is 2.0. The minimum GPA for the program is 2.0. In addition, the DDC permits any approved course to satisfy up to three credit hours within three different categories. Please see the General Education Program: The Dearborn Discovery Core section for additional information.
Areas of Inquiry
- Lecture/Lab Science Course
- Additional Science Course
Foreign Language Requirement
Complete a two-semester beginning language sequence.
|Ancient Greek I and II||MCL 105 and MCL 106|
|Arabic I and II||ARBC 101 and ARBC 102|
|Armenian I and II||MCL 111 and MCL 112|
|French I and II||FREN 101 and FREN 102|
|German I and II||GER 101 and GER 102|
|Latin I and II||LAT 101 and LAT 102|
|Spanish I and II||SPAN 101 and SPAN 102|
24 credit hours at the 300+ level is required.
|MATH 425||Mathematical Statistics||3|
|Applied Statistics Core|
|Select 12 hours from the following:||12|
|Applied Statistics I|
|Applied Statistics II|
|Applied Regression Analysis|
|Design and Analysis of Expermt|
|Electives in Statistics|
|Select any two 300+ STAT courses:||6|
|Select 6 credit hours from the following:||6|
|Quantitative Model and Anlys I|
|Quantitative Model and Anly II|
|Introduction to Econometrics|
|Six Sigma & Stat Proc Improv|
|Advanced Calculus I|
|Other courses by Petition. See the Applied Statistics Program Advisor.|
|Total Credit Hours||30|
- At least 12 of the 24 upper level hours in Statistics must be elected at UM-Dearborn
- Students cannot receive credit for both STAT 301 and STAT 325.
- Students wishing to use graduate level courses (STAT 500+) as part of the 24 credit hours required for the major must submit a Petition to obtain the approval of the Statistics Program Advisor.
Minor or BGS/LIBS Concentration
A minor or concentration consists of 12 hours of upper-division credit or graduate credit (300 or above level courses) in Applied Statistics. Only one of STAT 301 or STAT 325 can be used to satisfy this requirement. Students with majors in mathematics, the natural sciences, or the social sciences may find the minor in Applied Statistics to be a valuable supplement to their major.
STAT 263 Introduction to Statistics 3 Credit Hours
Frequency distributions and descriptive measures. Populations, sampling, and statistical inference. Elementary probability and linear regression, use of statistical computer packages to analyze data. Students intending to elect this course should have taken at least one year of high school algebra. (F,W,S).
STAT 301 Biostatistics I 3 Credit Hours
Samples and populations, quantitative vs. categorical data; clinical vs. epidemiological studies; comparative displays and analysis; linear regression. Estimation of effect size is emphasized along with the P-value for a statistical test: difference of means in simple comparative data together with a confidence interval and t-test; relative risk for appropriate categorical data; slope of a regression line together with a confidence interval and t-test. Study design is emphasized: clinical trials in experimental settings; case-control and cohort studies in epidemiological settings. Students are expected to make presentations interpreting and reporting the results of research from the literature. Students can receive credit for only one of MATH 301, MATH 363, STAT 301, CRJ 383, SOC 383, STAT 325.
STAT 305 Intro. to Data Science 3 Credit Hours
WIth increasing availability of data, companies, governments, and nonprofits alike are striving to convert this data into knowledge and insight. This course will provide students with the basic skill set needed to handle such data. The course will focus on three broad areas- inferential thinking, computational thinking, and real-word applications. We will discuss data collection, data cleaning and exploratory analysis of data so that students can connect the data to the underlying phenomena and be able to think critically about the conclusions that are drawn from the data analysis. The students will also learn how to write short programs to be able to automate the data analysis process developing an applied understanding of different analytics methods, including linear regression, logistic regression, clustering, data visualization, etc. Most of the material will be taught using real world data. (YR)
STAT 325 Applied Statistics I 3 Credit Hours
A study of the fundamental concepts and methods of probability and statistics. Topics include counting problems, discrete probability, random variables and probability distributions, special distributions, sampling distributions, the central limit theorem, introduction to hypothesis testing, and the use of statistical computer packages for data analysis. Students can receive credit for only one of MATH 363, STAT 363, SOC 383 and STAT 325. (F,W).
STAT 326 Applied Statistics II 3 Credit Hours
A continuation of STAT 325. This course treats both the principles and applications of statistics. Elementary theory of estimation and hypothesis testing, the use of the normal, chi- square, F and t distributions in statistics problems will be covered. Other topics are selected from regression and correlation, the design of experiments, analysis of variance, analysis of categorized data, nonparametric inference, and sample surveys. (W).
Prerequisite(s): STAT 325
STAT 330 Intro to Survey Sampling 3 Credit Hours
An introduction to survey sampling techniques assuming only-aiimited knowledge of higher- level mathematics. Topics include: simple and stratified random sampling, estimation, systematic sampling, simple and two stage cluster sampling, population size estimation.
STAT 390 Topics in Applied Statistics 3 Credit Hours
A course designed to offer selected topics in applied statistics. The specific topic or topics will be announced together with the prerequisites when offered. Course may be repeated for credit when specific topics differ. (OC)
Can enroll if Level is Undergraduate
STAT 430 Applied Regression Analysis 3 Credit Hours
Topics include single variable linear regression, multiple linear regression and polynomial regression. Model checking techniques based on analysis of residuals will be emphasized. Remedies to model inadequacies such as transformations will be covered. Basic time series analysis and forecasting using moving averages and autoregressive models with prediction errors are covered. Statistical packages will be used. Students cannot receive credit for both STAT 430 and STAT 530.
Prerequisite(s): STAT 425 or STAT 326
STAT 440 Design and Analysis of Expermt 3 Credit Hours
An introduction to the basic methods of designed experimentation. Fixed and random effects models together with the analysis of variance techniques will be developed. Specialized designs including randomized blocks, latin squares, nested, full and fractional factorials will be studied. A statistical computer package will be used. (W).
Prerequisite(s): STAT 425 or STAT 326
STAT 450 Multivariate Stat Analysis 3 Credit Hours
An introduction to commonly encountered statistical and multivariate techniques, while assuming only a limited knowledge of higher-level mathematics. Topics include: multivariate analysis of variance, multivariate regression, principal components and factor analysis, canonical correlation, and discriminant analysis.
Prerequisite(s): STAT 430
STAT 460 Time Series Analysis 3 Credit Hours
An-Introduction to time series, including trend effects and seasonality, while assuming only a limited knowledge of higher-level mathematics. Topics include: linear Gaussian processes, stationarity, autocovariance and autocorrelation; autoregressive (AR), moving average (MA) and mixed (ARMA) models for stationary processes; likelihood in a simple case such as AR(1); ARIMA processes, differencing, seasonal ARIMA as models for non-stationary processes; the role of sample autocorrelation, partial autocorrelation and correlograms in model choice; inference for model parameters; forecasting: dynamic linear models and the Kalman filter.
Prerequisite(s): STAT 430
STAT 490 Topics in Applied Statistics 3 Credit Hours
STAT 490A Topics in Applied Statistics 3 Credit Hours
TOPIC TITLE: Multivariate Statistical Analysis A coverage of commonly encountered statistical and multivariate techniques, while assuming only a limited knowledge of higher-level mathematics. Topics include: Multivariate analysis of variance, multivariate regression, principal components and factor analysis, canonical correlation, discriminant analysis, and cluster analysis.
An asterisk denotes that a course may be taken concurrently.
Frequency of Offering
The following abbreviations are used to denote the frequency of offering: (F) fall term; (W) winter term; (S) summer term; (F, W) fall and winter terms; (YR) once a year; (AY) alternating years; (OC) offered occasionally