This simulation illustrates least squares regression and how the least squares solution minimizes the sum of the squared residuals. The applet demonstrates, in a visual manner, various concepts related to least squares regression. These include residuals, sum of squares, the mean line, how the line of best fit is determined, and how the line of least squares solution minimizes the sum of the squared residuals.
This is a lesson plan for 16 to 17 year old students that focuses on developing students' understanding of the relative strengths and weaknesses of various representations of real world univariate statistics. Students work in groups to research different visual representations and create a wiki page of their findings.
Calibrated Peer Review (CPR) is a program, for networked computers, that enables frequent writing assignments without any increase in instructor work. In fact, CPR can reduce the time an instructor now spends reading and assessing student writing. CPR offers instructors the choice of creating their own writing assignments or using the rapidly expanding assignment library. If you believe in constructivist learning, writing is the most important tool that you have. But if you have a class of 300 students, grading essays challenges even the true believer. Calibrated Peer Review (CPR)can be used in classes of any size. CPR is based on the model of peer review in science. The student reads a document, either on-line or hard copy, then writes about it. When the student has demonstrated competence as a reviewer, the program delivers three peer documents on for review. The student answers content and style questions and assigns scores. Finally, the student does a self-review. The student grade comes from writing and reviewing. Even though the program is only in its third year, approximately 100,000 students have used it. Although CPR was designed for use in large chemistry classes, experience has shown that it can serve in many other disciplines, as well. Currently, business, chemistry, economics, English, and life science instructors are using CPR in college, graduate and professional, high schools and middle schools. CPR was developed in the Chemistry Department at U.C.L.A. with funding provided by the National Science Foundation and Howard Hughes Medical Institute.
A song for use in helping students to apply relationships among alpha, p-value, and the decision of a hypothesis test. Music & Lyrics © 2015 by Lawrence M. Lesser from The University of Texas at El Paso. This song is part of an NSF-funded library of interactive songs that involved students creating responses to prompts that are then included in the lyrics (see www.causeweb.org/smiles for the interactive version of the song, a short reading covering the topic, and an assessment item).
A song for use in helping students to recognize, in context, the idea of ANOVA as comparing variance between groups to variance within groups. Music & Lyrics © 2016 by Monty Harper. This song is part of an NSF-funded library of interactive songs that involved students creating responses to prompts that are then included in the lyrics (see www.causeweb.org/smiles for the interactive version of the song, a short reading covering the topic, and an assessment item).
A song for use in helping students to understand that standard error changes with the square root of the sample size. Music & Lyrics by Tom Toce, © 2015 Retrograde Music. This song is part of an NSF-funded library of interactive songs that involved students creating responses to prompts that are then included in the lyrics (see www.causeweb.org/smiles for the interactive version of the song, a short reading covering the topic, and an assessment item).
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.
The Journal of Statistics Education provides a collection of Java applets and excel spreadsheets (and the articles associated with them) from as early as 1998 on this webpage.
This recording of a web seminar (webinar) provides a tour of StatCrunch. StatCrunch (www.statcrunch.com) is a Web-based data analysis package. StatCrunch has all of the routines required for introductory statistics and many more. The software also offers pedagogical features such as interactive graphics. Many of these capabilities are discussed and demonstrated by StatCrunch developer Webster West.
This collection of YouTube videos is designed to teach individuals how to use StatCrunch to enter data, graph data, obtain descriptive statistics, and conduct many different kinds of statistical analyses.