App

guided independent study

800:121g Applied Statistical Methods for Research
Course Details        Return to course list         Enrollment information

Course credit

3 credit hours

Course description

Inference about two or more population variances, multiple comparisons, categorical data analysis, linear and logistic regression, design of experiments, analysis of variance and covariance, repeated measures and random effects.

Delivery

web This course is available in a web-based format, utilizing web pages and WebCT, a computer conferencing program. WebCT requires Internet access and a web browser — no additional software is required. Students may need access to someone who can assist with computer set-up.

Prerequisites

UNI students: 800:072, junior standing

Instructor

Dr. Mark Ecker, Associate Professor of Mathematics

Evaluation

9 assignments, 2 exams, 1 project paper

Overview

Applied Statistical Methods (Math 121) is an applied statistics course offered as a follow up class to a standard introductory statistics class, for example Math 072 here at the University of Northern Iowa. Therefore, an introductory statistics class that covers such topics as probability, random variables, confidence intervals and hypothesis testing is a prerequisite for this class.

The goal of any statistical analysis is to answer questions that can only be resolved through the collection, management, analysis and interpretation of data. In particular, how to explain and predict using your data is the fundamental skill set to be acquired. For example, we might be interested in determining what risk factors most influence a person’s chance of developing heart disease and what exactly is that risk? Also, what factors most influence the value of my home and if I want to spend $2000 to improve my house, how should I best do that? The main objective of this class is for you to learn to be able to answer real-world questions from genuine data using the tools you will be developing.

Course organization

Written Assignments
This course will consist of nine assignments each having a written assignment.

Project Paper
The Project Paper, involving a statistical analysis of a dataset of interest to you, is a major component of this class. A short project proposal will be submitted so that I can provide guidance and to ensure that the analysis plan is not overly challenging for you.

Exams
There will be two exams. Your examinations will be proctored. Exam 1 will be taken after you have finished Assignment 4: Analysis of Variance and Exam 2 will be taken after finishing Assignment 9: Multivariate Data Analysis. Exam 2 will not be cumulative. Both exams are open book and open notes, however, you may only use your textbook; no other books or outside resources (such as the internet) are allowed. Also, you will need your calculator.

You will have 90 minutes for each exam, which will focus on problem solving; it is NOT a multiple choice/short answer type exam. I give lots of partial credit; my reason for doing so is that I strongly believe that if you have 95% of the problem solved correctly, then should get 95% of the available points! So show all of your work!

Basic outline

  • Assignment 1 Review of Introductory Statistics
    • Binomial and Normal Distributions; Central Limit Theorem; Conceptual idea and meaning of a confidence interval (CI); Logical steps of the hypothesis test (HT); Type I and II errors; Power; Relationship between CIs and HTs.
  • Assignment 2 One Sample Inference
    • Large sample CI/HT for the population mean μ; Small sample CI/HT for the population mean; t-distribution; Nonparameric tests for population median: Sign test and Wilcoxan Signed Rank test; Large and small sample CI/HT for a population proportion, p
  • Assignment 3 Two Sample Inference
    • Large sample CI/HT for comparing two population means, image01; Small sample CI/HT for image01: Pooled t-test and Behrens-Fisher problem; Paired t-test; Nonparametric test for difference in two medians: Wilcoxan Summed Rank Test; Large sample CI/HT for the difference of two population proportions, image02.
  • Assignment 4 K Sample Inference (K>2)
    • Analysis of Variance (ANOVA): Sums of squares; Model checking; Residual diagnostics; Multiple comparisons: Bonferroni, Scheffe, Tukey, Fisher’s LSD, Dunnets; Individual level versus experimental level error rates; General contrasts; Kruskal-Wallis nonparametric test.
  • Exam 1
  • Assignment 5 Experimental Design
    • Basic concepts: factor, treatment, experimental or sampling unit, replication and randomization; Retrospective study; Prospective study; Controlled Experiment; Factorial Experiment, Placebo effect.
  • Assignment 6 Two-way ANOVA
    • Simpson’s Paradox; Interaction, Profile Plot; Completely Randomized Design; Blocking Variable; Randomized Block Design; Model checking through residuals.
  • Assignment 7 Regression
    • Scatterplot; Correlation; Correlation versus Causation; Slope and Intercept; R-squared; CI/HT for regression parameters; Prediction of new observation; Checking model assumptions through residuals; Outliers; Influential Observations; Model building strategies: Forward, Backward and Stepwise selection procedures, R-squared plot, MSE plot.
  • Assignment 8 Analysis of Covariance (ANCOVA)
    • Interaction ANCOVA model; Parallel lines ANCOVA model; Common regression model; Model fitting and interpretation of parameters; Model selection F tests.
      Assignment 9 Multivariate Data Analysis Graphical displays: Star Plots and Chernoff Faces; Similarity metric; Euclidean and Mahalanobis Distances; Cluster Analysis; Dendogram or Clustering Tree.
  • Project Proposal
  • Exam 2
  • Project Paper

Grading

Your overall course grade will be determined by two exams, nine assignments, and your project paper.

Exam 1 (75 points) 25%
Assignments (335 points) 25%
Exam 2 (70 points) 25%
Project Paper (100 points) 25%


The nine individual assignments are each worth:

Assignment Points Assignment Points
1 50 6 20
2 50 7 40
3 40 8 50
4 40 9 25
5 20 Total 335

 

To determine your course percentage, take the average of your four individual percentages (Exam1 percentage, Assignment percentage, Exam 2 percentage and the Project Paper percentage).

 

Overall Course Percentage Course Grade
90 – 100 A range
80 – 90 B range
70 – 80 C range
60 – 70 D range
Less than 60 F


For example, if you scored a 65 out of 75 on Exam #1, then your Exam #1 percentage is 65/75 = 0.867. If your three other percentages are: Assignment percentage = 0.850, Exam #2 percentage = 0.900 and Project percentage = 0.950, then my overall (average) course percentage is (0.867+0.85+0.9+0.95)/4 = 0.892 which would be a B+.

Please note that UNI Guided Independent Study requires that you complete all assignments to pass the course.

Academic ethics

I expect you to submit your own work (homework, tests and paper). I highly encourage you to talk with me and/or others to help you understand a concept. Some of my most positive learning experiences have come after asking others for help; group learning is fantastic. I will be more than happy to answer any questions you have, including those regarding academic ethics. You are subject to the same UNI policies with regard to proper ethical conduct as that of a student sitting in my regular Math 121 class.

Textbook(s)

Ott and Longnecker. An Introduction to Statistical Methods and Data Analysis. 5th edition. (2001). Duxbury. ISBN # 0-534-25122-6 (required)

Ott and Longnecker. An Introduction to Statistical Methods and Data Analysis - Student Solutions Manual. 5th edition. (2002). Duxbury. ISBN # 0-534-37123X (suggested)

Texts are available from www.bookfinder.com

University Book and Supply carries most books used in guided independent study.
To search for textbooks by course, click on "Select a Campus Term" and select Univ.Northern Iowa - Guided Independent Study
Visit the store at 1009 West 23rd Street, Cedar Falls, IA 50613
Phone: 319-266-7581 or 800-728-7581
Fax: 319-277-1266
E-mail: bookstore@panthersupply.com

Statistical software

The statistical software S-plus is available for FREE to any UNI student.

Please visit: http://elms03.e-academy.com/splus/

To enroll

ONLINE
GIS enrollment information

IN PERSON
UNI Continuing and Distance Education
2637 Hudson Road (corner of 27th St. and Hudson Rd.)
Cedar Falls, IA 50614-0223
Campus map (Look for Building 31)

For more information

Cindy Klodt, Guided Independent Study
UNI Continuing and Distance Education
319-273-2123 or 800-772-1746
ContinuingEd@uni.edu