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  • Mathematics -- Probability
ANOVA for Regression
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This site, created by Michelle Lacey of Yale University, gives an explanation, a definition and an example of ANOVA for regression. Topics include analysis of variance calculations for simple and multiple regression, and F-statistics. This is a great overview of this topic.

Subject:
Mathematics
Material Type:
Lesson Plan
Student Guide
Provider:
AMSER: Applied Math and Science Education Repository
Provider Set:
AMSER: Applied Math and Science Education Repository
Author:
Lacey, Michelle
American Mathematical Society Journals
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A list of mathematics journals with articles on the Web and a list of Web sites for printed journals, with tables of contents of issues, abstracts of papers, actual papers, information about submissions and subscriptions, etc. See also the Annual Listing of New Journals in Mathematics file, which notes newly established journals devoted to papers in mathematics, organized by year.

Subject:
Engineering
History, Law, Politics
Life Science
Mathematics
Chemistry
Physics
Provider:
AMSER: Applied Math and Science Education Repository
Provider Set:
AMSER: Applied Math and Science Education Repository
Analysis Of Categorical Dependent Variables With SAS And SPSS
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This tutorial, created by Choong-Geun Chung of Indiana University, Bloomington, contains SAS and SPSS instructions for categorical analysis techniques such as logistic regression and probit regression including models for ordered or unordered multiple choices. Key concepts of this lesson include multinomial logistic and conditional logistic regression.

Subject:
Mathematics
Material Type:
Lesson Plan
Student Guide
Provider:
AMSER: Applied Math and Science Education Repository
Provider Set:
AMSER: Applied Math and Science Education Repository
Author:
Chung, Choong-Geun
The Anthill and Molecular Motion
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This website, created by Paul Trunfio and Gary McGath of Boston University's Center for Polymer Studies, provides the description and instructions for the the Anthill and Molecular Motion Java applet. Some of the topics covered include: mixing, diffusion, and contour plots. Overall, this is a fine resource for any mathematics classroom, especially one interested in statistics.

Subject:
Education
Mathematics
Material Type:
Interactive
Simulation
Provider:
AMSER: Applied Math and Science Education Repository
Provider Set:
AMSER: Applied Math and Science Education Repository
Author:
McGath, Gary
Trunfio, Paul
BGIM : Maximum Likelihood Estimation Primer
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Created by Shaun Purcell of the Social, Genetic and Development Pyschiatry Research Centre, this set of pages is an introduction to the maximum likelihood estimation. It discusses the likelihood and log-likelihood functions and the process of optimizing. The author breaks the page down in this way: introduction, model-fitting, MLE in practice, likelihood ratio test, MLE analysis of twin data and MLE analysis of linkage data. The author offers further reading for extra study of this statistical method.

Subject:
Mathematics
Material Type:
Lesson Plan
Student Guide
Provider:
AMSER: Applied Math and Science Education Repository
Provider Set:
AMSER: Applied Math and Science Education Repository
Author:
Purcell, Shaun
Bacteria Allocation Using Monte Carlo
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This applet, created by David Hill and Lila Roberts, uses the Monte Carlo technique to simulate a count of bacteria that are present as a result of a certain sampling process. This simulation could be modified to perform other experiments. This experiment is geared towards high school calculus students or probability courses for mathematics majors in college. Students must possess a basic understanding of probability concepts before performing this experiment. Overall, it is a nice activity for a mathematics classroom.

Subject:
Mathematics
Material Type:
Data Set
Interactive
Lesson Plan
Simulation
Student Guide
Provider:
AMSER: Applied Math and Science Education Repository
Provider Set:
AMSER: Applied Math and Science Education Repository
Author:
Hill, David R.
Roberts, Lila F.
Bayesian Calculator
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This page, created by Michael H. Birnbaum of Fullerton University, uses Bayes' Theorem to calculate the probability of a hypothesis given a datum. An example about cancer is given to help users understand Bayes' Theorem and the calculator. This page is a great representation of conditional probability. Detailed instructions are provided on proper use of the calculator.

Subject:
Mathematics
Material Type:
Interactive
Simulation
Provider:
AMSER: Applied Math and Science Education Repository
Provider Set:
AMSER: Applied Math and Science Education Repository
Author:
Birnbaum, Michael H.
Binomial Histogram
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This Binomial applet allows the user to adjust the n and the p and see the resulting histogram. There is also an option to overlay the normal distribution over the histogram. The "area from" and "to" scrollbars and text boxes allow you to select a range of possible "successes," for which the applet will calculate the probability, displayed after "selected area."

Subject:
Mathematics
Material Type:
Data Set
Interactive
Simulation
Provider:
AMSER: Applied Math and Science Education Repository
Provider Set:
AMSER: Applied Math and Science Education Repository
Author:
Stark, Philip B.
Binomial Probability Model
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This resource, created by the statistics departed at Western Michigan University, helps define and explain binomial probability. It includes examples and exercises for the learner which facilitate further understanding of the subject. Overall, this specific site is perfect for users studying statistics, more specifically probability testing.

Subject:
Mathematics
Material Type:
Data Set
Provider:
AMSER: Applied Math and Science Education Repository
Provider Set:
AMSER: Applied Math and Science Education Repository
Author:
Abebe, Asheber
Daniels, John E.
Kapenga, J.A.
McKean, Joe W.
The Birthday Suprise
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This lesson is often used in introductory courses on probability and statistics. The material uses real data to introduce probabilistic simulation. Students will take random samples of data to demonstrate the importance of obtaining a good sample from a population. A blog has also been created by the originator of this exercise for students to share their results.

Subject:
Education
Mathematics
Material Type:
Data Set
Interactive
Lesson Plan
Provider:
AMSER: Applied Math and Science Education Repository
Provider Set:
AMSER: Applied Math and Science Education Repository
AMSER LAR Collection
Body Measures: Exploring Distributions and Graphs Using Cooperative Learning
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Using cooperative learning methods, this lesson introduces distributions for univariate data, emphasizing how distributions help us visualize central tendencies and variability. Students collect real data on head circumference and hand span, then describe the distributions in terms of shape, center, and spread. The lesson moves from informal to more technically appropriate descriptions of distributions.

Subject:
Mathematics
Material Type:
Activity/Lab
Lesson Plan
Provider:
AMSER: Applied Math and Science Education Repository
Science Education Resource Center (SERC) at Carleton College
Provider Set:
AMSER: Applied Math and Science Education Repository
AMSER LAR Collection
Pedagogy in Action
Author:
Cary Roseth
Boxplot
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This site, created by Michelle Lacey of Yale University, give a definition and an example of boxplots. Topics include outliers, medians, as well as lower and upper quartiles. The author addresses the possible uses of this type of graph. She focuses on the reasons and also academic disciplines this type of graph is suited for. While brief, this is still a useful reference for a classroom studying statistics.

Subject:
Mathematics
Material Type:
Lesson Plan
Student Guide
Provider:
AMSER: Applied Math and Science Education Repository
Provider Set:
AMSER: Applied Math and Science Education Repository
Author:
Lacey, Michelle
Breaking The Rectangular Transposition Encryption System
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This applet, created by Kevin O'Bryant of the University of California - San Diego, illustrates the code breaking process entitled "Rectangular Transposition Encryption System." This interactive resource is fun, but still educational. It would be a perfect teaching tool for any classroom interested in statistics.

Subject:
Mathematics
Material Type:
Interactive
Lesson Plan
Simulation
Student Guide
Provider:
AMSER: Applied Math and Science Education Repository
Provider Set:
AMSER: Applied Math and Science Education Repository
Author:
O\'Bryant, Kevin
Buffon's Needle: An Analysis and Simulation
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Created by George Reese of the University of Illinois at Urbana-Champaign, this resource gives some background on the Buffon's needle problem. The site provides a link to an applet that allows one to simulate dropping a needle once, ten times, one-hundred times, or one-thousand times. One also has control over the length of the needle. Aside from the applet, the author provides an introduction, the simplest case, other cases, a brief series of questions and references. This is a nice case study of one statistical problem.

Subject:
Mathematics
Material Type:
Interactive
Lesson Plan
Simulation
Provider:
AMSER: Applied Math and Science Education Repository
Provider Set:
AMSER: Applied Math and Science Education Repository
Author:
Reese, George
Can You Beat Randomness: The Lottery Game
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This is the description and instructions for the Can You Beat Randomness? : The Lottery Game applet. It is a simulation of flipping coins. Students are asked to make conjectures about randomness and how certain strategies affect randomness. It strives to show the "growth of order out of randomness." This is a great resource for any mathematics classroom interested in statistics and probabilities.

Subject:
Mathematics
Material Type:
Data Set
Interactive
Lesson Plan
Simulation
Provider:
AMSER: Applied Math and Science Education Repository
Provider Set:
AMSER: Applied Math and Science Education Repository
Author:
Trunfio, Paul
Categorical Data
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This site, created by Michelle Lacey of Yale University, gives a definition and an example of categorical data. Topics include two-way tables, bar graphs, and segmented bar graphs. The author provides a nice presentation combining text and visuals to enhance the lesson. This is a valuable resource for more advanced classroom's studying statistics.

Subject:
Life Science
Ecology
Forestry and Agriculture
Mathematics
Geoscience
Material Type:
Data Set
Lesson Plan
Provider:
AMSER: Applied Math and Science Education Repository
Provider Set:
AMSER: Applied Math and Science Education Repository
AMSER LAR Collection
Author:
Lacey, Michelle
Centre for Innovation in Mathematics Teaching: Interactive Tutorials (Book 8)
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Based at the University of Plymouth, the Centre for Innovation in Mathematics Teaching has developed many instructional materials designed to help both novice and experienced math teachers. This particular area of their website provides access to a number of interactive mathematics tutorials. The materials are divided into eight units, including those that deal with factors, mathematical diagrams, proportion, and estimating. Within each unit, users will find a number of example questions and related exercises. All of the materials offered here are quite accessible and easy to use, and users will find coverage of everything from prime factors to the sometimes-daunting Pythagorean theorem.

Subject:
Engineering
Technology
Education
Mathematics
Material Type:
Activity/Lab
Interactive
Student Guide
Provider:
AMSER: Applied Math and Science Education Repository
Internet Scout Project
Provider Set:
AMSER: Applied Math and Science Education Repository
Internet Scout Project
The Cereal Box Problem: A Lesson in Expected Value
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Created by George Reese and Quinn Baetz of the University of Illinois - Champaign-Urbana, this site poses the following problem: "Suppose there was one of six prizes inside your favorite box of cereal. Perhaps it's a pen, a plastic movie character, or a picture card. How many boxes of cereal would you expect to have to buy, to get all six prizes?" This extremely practical question allows the author to examine many different aspects of statistics, most notably providing a lesson in expected values. Overall, this is a fun activity for any level statistics course.

Subject:
Mathematics
Material Type:
Interactive
Lesson Plan
Simulation
Provider:
AMSER: Applied Math and Science Education Repository
Provider Set:
AMSER: Applied Math and Science Education Repository
Author:
Baetz, Quinn
Reese, George
Chance
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Materials designed to help teach a "Chance" course or a more standard introductory probability or statistics course. A Chance course is a case study quantitative literacy course designed to make students more informed and critical readers of current news items that use probability and statistics, as reported in daily newspapers. This site contains: Chance News, a monthly newsletter with abstracts of articles from current newspapers and journals, and suggestions for discussion questions for class use, with an archive; video lectures and audio discussions of Chance topics; syllabi of previous Chance courses and articles that have been written about them; a Teacher's Guide and other materials useful for teaching a Chance course; and links to related Internet sources for teaching a probability or statistics course. The Chance team of developers includes: J. Laurie Snell and Peter Doyle of Dartmouth College, Joan Garfield of the University of Minnesota, Tom Moore of Grinnell College, Bill Peterson of Middlebury College, and Ngambal Shah of Spelman College.

Subject:
Engineering
Education
Ecology
Forestry and Agriculture
Mathematics
Geoscience
Physics
Material Type:
Data Set
Interactive
Lesson Plan
Provider:
AMSER: Applied Math and Science Education Repository
Internet Scout Project
Provider Set:
AMSER: Applied Math and Science Education Repository
AMSER LAR Collection
Internet Scout Project
Author:
Doyle, Peter G.
Snell, J. Laurie (James Laurie), 1925-
Chi-Square Test or the "Goodness of Fit" Test
Rating

This tutorial, created by Thomas W. MacFarland of Nova Southeastern University, explains the theory and use of the Chi-square tests for "Goodness of Fit" and demonstrates it with an example on mastery test scores. Data sets are given in both SPSS and Minitab code. This is a great resource for anyone interested in a more in-depth look at statistical testing.

Subject:
Mathematics
Material Type:
Data Set
Lesson Plan
Provider:
AMSER: Applied Math and Science Education Repository
Provider Set:
AMSER: Applied Math and Science Education Repository
Author:
MacFarland, Thomas W.