AMSER
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AMSER (the Applied Math and Science Education Repository) provides educational resources and services built specifically for use by those in Community and Technical Colleges but free for anyone to use.en-usealmasy@scout.wisc.eduealmasy@scout.wisc.eduWed, 16 Apr 2014 00:00:00 -0500Thu, 10 Apr 2014 00:00:00 -0500http://www.rssboard.org/rss-2-0-1The Birthday Suprise
https://amser.org//index.php?P=FullRecord&ResourceId=16278
https://amser.org//index.php?P=FullRecord&ResourceId=16278This 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.Mon, 20 Dec 2010 03:00:03 -0600Probability
https://amser.org//index.php?P=FullRecord&ResourceId=16290
https://amser.org//index.php?P=FullRecord&ResourceId=16290This series of videos, created by Salman Khan of the Khan Academics, introduces students to basic probability. Anyone using these videos should a reasonable grounding in basic algebra before viewing. This collection features seventeen different videos covering a broad array of topics within the discipline. Overall, this should serve as a solid introduction to this field.Thu, 16 Dec 2010 03:00:02 -0600Graphical Techniques: By Problem Category (Engineering Statistics Handbook)
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https://amser.org//index.php?P=FullRecord&ResourceId=9154Created by Alan Heckert and James Filliben, this part of the National Institute of Standards and Technology (NIST) Engineering Statistics handbook describes different graphs and plots used in exploratory data analysis. More specifically, these graphs and plots consist of: univariate (y = c + e), time series (y = f(t) + e), one factor (y = f(x) + e), multi-factor/comparative (y = f(xp, x1, x2,...,xk) + e), multi-factor/screening (y = f(x1,x2,x3,...,xk) + e), regression (y = f(x1,x2,x3,...,xk) + e), interlab (y1,y2) = f(x) + e) and multivariate (y1,y2,...yp). Each section contains a sample plot, a definition, questions, related techniques, a case study and software. This is a great overview of a myriad of different graphical techniques.Fri, 12 Jun 2009 03:00:01 -0500Gallery of Distributions (Engineering Statistics Handbook)
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https://amser.org//index.php?P=FullRecord&ResourceId=9155Created by Alan Heckert and James Filliben, this page, part of the National Institute of Standards and Technology (NIST) Engineering Statistics handbook, contains links to web pages describing most of the more commonly used distributions. The section focuses on both continuous and discrete distributions, some of these include: normal, t, exponential, uniform, f, chi-square, binomial, poisson, etc. Each distribution contains graphs, definitions, comments and software. This is a great collection for students learning about different types of distributions for statistical analysis.Thu, 11 Jun 2009 03:00:02 -0500Conditional Probability and Probability of Simultaneous Events
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https://amser.org//index.php?P=FullRecord&ResourceId=8538This lesson is based on several interesting problems. Each problem has a somewhat unexpected answer; in fact, many people have a hard time accepting experimental results for these problems, as the results may seem counterintuitive. This very difference in expectations and actual results leads to a deeper consideration of the related mathematics and to acquiring new tools for solving problems, namely the ideas and formulas connected with conditional probability and probability of simultaneous events.Fri, 29 May 2009 03:00:02 -0500Quantum Mechanics: Sum Over Paths
https://amser.org//index.php?P=FullRecord&ResourceId=10429
https://amser.org//index.php?P=FullRecord&ResourceId=10429Created by Edwin F. Taylor a former professor at the Department of Physics at the Massachusetts Institute of Technology, this material describes methods of presenting quantum mechanics using the path-integral formulation. Included are links to a paper and presentation outlining the method, software to simulate the path integrals, and student workbook materials. This course has been used for introducing quantum physics to high school teachers.Tue, 26 May 2009 03:00:02 -0500Belief in the Law of Small Numbers
https://amser.org//index.php?P=FullRecord&ResourceId=9173
https://amser.org//index.php?P=FullRecord&ResourceId=9173People have erroneous intuitions about the laws of chance. In particular, they regard a sample randomly drawn from a population as highly representative, that is, similar to the population in all essential characteristics. The prevalence of the belief and its unfortunate consequences for psychological research are illustrated by the responses of professional psychologists to a questionnaire conceding research decisions.Tue, 12 May 2009 03:00:01 -0500How Random is Random?
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https://amser.org//index.php?P=FullRecord&ResourceId=8531Created by Annenberg Media, this site is a tutorial that takes students through a mayoral election process while discussing the concept of randomness. Topics include margin of error and confidence levels. This is a fairly basic lesson, but it does provide a good example of applied statistical theory. Aside from simply addressing the statistics behind the process, the resource also discusses the actual physical process of taking political polls.Mon, 2 Mar 2009 03:00:02 -0600Monty's Dilemma: Should You Stick or Switch?
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https://amser.org//index.php?P=FullRecord&ResourceId=8548Created by J. Michael Shaughnessy and Thomas Dick, this activity presents a version of a classic game-show scenario. You pick one of three doors in hopes of winning the prize. The host opens one of the two remaining doors which reveals no prize, then asks if you wish to "stick or switch." Which choice gives you the best chance to win? The approach in this activity runs from guesses to experiments to computer simulations (links to applets are provided) to theoretical models. The activity can be adapted by leaving out the "flip-a-coin" strategy presented here. This is a fun and worthwhile activity that students can easily engage with.Mon, 23 Feb 2009 03:00:02 -0600Buffon's Needle: An Analysis and Simulation
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https://amser.org//index.php?P=FullRecord&ResourceId=8553Created 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.Mon, 23 Feb 2009 03:00:02 -0600Point Estimation
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https://amser.org//index.php?P=FullRecord&ResourceId=9160Created by Kyle Siegrist of the University of Alabama-Huntsville, this is an online, interactive lesson on point estimation. The author provides examples, exercises, and applets about the topic. More specifically, they concern estimators, method of moments, maximum likelihood, Bayes' estimators, best unbiased estimators, and sufficient, complete and ancillary statistics. Additionally, the author provides links to external resources for students looking to engage in a more in-depth study of the topic. This is simply one lesson in a series of seventeen. They are easily accessible as the author has created the site in an online textbook format.Mon, 23 Feb 2009 03:00:02 -0600Geometric Models
https://amser.org//index.php?P=FullRecord&ResourceId=9166
https://amser.org//index.php?P=FullRecord&ResourceId=9166Created by Kyle Siegrist of the University of Alabama-Huntsville, this is an online, interactive lesson on geometric models. The author provides examples, exercises, and applets which include Buffon's problems, Bertrand's paradox, and random triangles. Additionally, the author provides links to external resources for students wanting to engage further in this topic. This is simply one lesson in a series of seventeen. They are all easily accessible as the author has formated his site much like an online textbook.Mon, 23 Feb 2009 03:00:01 -0600Perfecting Simulations? The Quest for a Perfect Random Number Generator
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https://amser.org//index.php?P=FullRecord&ResourceId=8543Pseudo random number generators (PRNG) start with a seed value and will eventually repeat all the numbers they generate in exactly the same order. Putting in the same seed value will give precisely the same set of random numbers. On large scale Monte Carlo simulations (depends on generation of multiple random numbers), care has to be taken to make sure that the PRNG cycle is significantly longer than the quantity of random numbers needed or the pattern in the PRNG cycle can show up as an error producing pattern in the simulation results.Fri, 20 Feb 2009 03:00:02 -0600The Central Limit Theorem? How to Tame Wild Populations
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https://amser.org//index.php?P=FullRecord&ResourceId=8544Using a parameter it's possible to represent a property of an entire population with a single number instead of millions of individual data points. There are a number of possible parameters to choose from such as the median, mode, or interquartile range. Each is calculated in a different manner and illuminates the data from a different point of view. The mean is one of the most useful and widely used and helps us understand populations. A population is simulated by generating 10,000 floating point random numbers between 0 and 10. Sample means are displayed in histograms and analyzed.Fri, 20 Feb 2009 03:00:02 -0600Year 13 Statistics (Level 3) Workshop 2003 - Department of Statistics
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https://amser.org//index.php?P=FullRecord&ResourceId=8555Created by Rachel Cunliffe, Ross Parsonage and Matt Regan, faculty members at Auckland University (New Zealand), this page is a resource for a series of workshops held by the Department of Statistics at the before mentioned school. The page contains links to worksheets, applets, and articles. The author include such topics as: regression, time series analysis, the central limit theorem, and dice experiments. Additionally, the authors provide links to suggested textbooks for the class. This is a great resource for not only planning a class, but actually finding material for a class already in existence.Fri, 20 Feb 2009 03:00:02 -0600