Simulation

  • This site provides an outline of an activity for introducing Bayes' Theorem and conditional probability.
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  • This lesson is based on Lawrence Lesser's article that describes the set-up of the spreadsheet simulation and Cindia Stewart's lesson that seeks to answer the Birthday Problem using three different methods. Probability topics include: Sample Size, Law of Large Numbers, Complementary Probabilities, Independence of Events
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  • This probability activity discusses the differences among various kinds of studies and which types of inferences can legitimately be drawn from each, as well as how sample statistics reflect the values of population parameters and use sampling distributions as the basis for informal inference. The procedure and assessment are provided.
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  • This activity discusses probability topics, such as: sample space, independent events, Law of Large Numbers, deviation percentage. A Excel program is required for this activity, which can be reached via the website.
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  • This activity uses a computer program to explore probability concepts such as sample space, independent events, law of large numbers, and reliability. An outline of the activity and the computer program are provided.
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  • This activity uses Microsoft Excel for a simulation of probability concepts. The Excel file and handouts are provided. Students will explore the concept of independent events, sample spaces, equally likely probabilities, and percentages within the context of this simulation.
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  • This activity uses Microsoft Excel and a deck of playing cards to gain experience with probability concepts. Students will discuss independent events, sample spaces, equally likely probabilities, probability of the intersection of two independent events, probability of the union of two events, percentages, and complements of given events within the context of these simulations. The Excel file and handouts are provided.
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  • Through this activity students will gain an understanding of the effect of the sample size on experiments and simulations. A Microsoft Excel program file and handouts are provided.
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  • This Java applet demonstrates confidence intervals for the mean. It allows the user to alter sample size, samples taken, intervals, and the option of standard error. The applet displays sample values, such as average, standard deviation, and percent covered.

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  • The BUGS (Bayesian inference Using Gibbs Sampling) project is concerned with flexible software for the Bayesian analysis of complex statistical models using Markov chain Monte Carlo (MCMC) methods. This site is primarily concerned with the stand-alone WinBUGS 1.4.1 package, which has a graphical user interface and on-line monitoring and convergence diagnostics. This program can be downloaded for free from the site.

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