# Lecture Examples

• ### STatistics Education Web (STEW)

Statistics and probability concepts are included in K–12 curriculum standards—particularly the Common Core State Standards—and on state and national exams. STEW provides free peer-reviewed teaching materials in a standard format for K–12 math and science teachers who teach statistics concepts in their classrooms.

STEW lesson plans identify both the statistical concepts being developed and the age range appropriate for their use. The statistical concepts follow the recommendations of the Guidelines for Assessment and Instruction in Statistics Education (GAISE) Report: A Pre-K-12 Curriculum Framework, Common Core State Standards for Mathematics, and NCTM Principles and Standards for School Mathematics. The lessons are organized around the statistical problemsolving process in the GAISE guidelines: formulate a statistical question, design and implement a plan to collect data, analyze the data by measures and graphs, and interpret the data in the context of the original question. Teachers can navigate the STEW lessons by grade level and statistical topic.

• ### Statistics Education: Cool 4 Ed Faculty Showcase (Free Online Text)

In the "Mathematics & Statistics" section on the "Faculty Showcase" tab, one can find a free, online statistics textbook (and link to other text resources) along with multiple professors' accounts of how they use this text in their respective classrooms.  On each professor's page is a description of the course taught, what caused each instructor to switch texts, how the text/course material has been received by students, and a sample assignment/syllabus from the course.  This is a wealth of information for those looking to switch books or gain insight into other professors' classes.

• ### Introduction to Survival Analysis

This site is a description of the mathematics behind survival analysis. It starts with a definition of the survival function. Then it discusses estimating the survival function with the Kaplan-Meier curve.  Then it discusses comparing survival curves. Finally, there is a discussion of Cox Proportional Hazards regression analysis.

• ### Clinical Trials Repository

This site is a government-run repository of information on current and completed clinical trials. Users can search for clinical trials by disease type and also by whether the trial is currently recruiting. Then a detailed description of the trial is given. This can be used in a classroom setting to discuss design issues and ethical issues with clinical trials.

• ### Body Worn Camera Experiment

This website is a summary of a randomized controlled trial of a metropolitan police department's body-worn camera program. It is useful in class to talk about the design of the experiment and also to talk about how they state their results. Their results are given as confidence intervals for differences.

• ### Sample Size Determination In Research

This is a complete lesson module (including example problems with answers to selected problems) for the purpose of enabling students to: 1) Provide examples demonstrating how the margin of error, effect size, and variability of the outcome affect sample size computations. 2) Compute the sample size required to estimate population parameters with precision. 3) Interpret statistical power in tests of hypothesis. 4) Compute the sample size required to ensure high power when hypothesis testing.
• ### Why Do We Need to Compute the Power of a Test?

When performing a hypothesis test about the population mean, a possible reason for the failure of rejection of the null hypothesis is that there's an insufficient sample size to achieve a powerful test. Using a small data set, Minitab is used to check for normality of the data, to perform a 1-Sample t test, and to compute Power and Sample Size for 1-Sample t.

• ### Testing Assumptions: Normality & Equal Variances

Document (pdf) illustrating a test of normality using an Anderson-Darling test in MINITAB and a test of equality of variances with an F-test in EXCEL.
• ### Power and Sample Size Determination

Powerpoint explaining what power is and how power and sample size are related to one another.
• ### Sample Size Determnation

Presentation that covers: the significance of sample size, determination of sample size, factors that may affect sample size, and how to use sample size in a research or study.