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  • Virtual Laboratories in Probability and Statistics
Finite Order Statistic Experiment
Unrestricted Use
CC BY
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This resource consists of a Java applet and expository text. The applet is a simulation of the experiment of selecting n objects at random from the first m positive integers. The random variables of interest are the order statistics. The applet illustrates the distributions of the order statistics.

Subject:
Mathematics
Probability and Statistics
Material Type:
Activity/Lab
Interactive
Simulation
Provider:
University of Alabama in Huntsville
Provider Set:
Virtual Laboratories in Probability and Statistics
Author:
Kyle Siegrist
Date Added:
05/04/2022
Fire Experiment
Unrestricted Use
CC BY
Rating
0.0 stars

This resource consists of a Java applet and expository text. The applet is a simulation of the fire process, an interacting particle system consisting of a rectangular lattice of "trees". At each discrete time unit, each tree is either on green, on fire, or burnt. A tree on fire at a given time can catch neighboring trees on fire at the next time unit. The probabilities of fire spread can be varied.

Subject:
Mathematics
Probability and Statistics
Material Type:
Activity/Lab
Interactive
Simulation
Provider:
University of Alabama in Huntsville
Provider Set:
Virtual Laboratories in Probability and Statistics
Author:
Kyle Siegrist
Date Added:
05/04/2022
Galton Board Experiment
Unrestricted Use
CC BY
Rating
0.0 stars

This resource consists of a Java applet and descriptive text. The applet illustrates Bernoulli trials in terms of a Galton Board. The number of trials and the probability of success can be varied. The random variables of interest are the number of successes and the probability of a success. The applet illustrates the binomial distribution, the law of large numbers and the central limit theorem.

Subject:
Mathematics
Probability and Statistics
Material Type:
Activity/Lab
Interactive
Simulation
Provider:
University of Alabama in Huntsville
Provider Set:
Virtual Laboratories in Probability and Statistics
Author:
Kyle Siegrist
Date Added:
05/04/2022
Galton Board Game
Unrestricted Use
CC BY
Rating
0.0 stars

This resource consists of a Java applet and expository text. The applet illustrates the Galton board in which a ball falls through a triangular array of pegs. Various combinatorial ideas are illustrated, including combinations, bit strings, and binomial coefficients.

Subject:
Mathematics
Probability and Statistics
Material Type:
Activity/Lab
Interactive
Simulation
Provider:
University of Alabama in Huntsville
Provider Set:
Virtual Laboratories in Probability and Statistics
Author:
Kyle Siegrist
Date Added:
05/04/2022
Gamma Estimate Experiment
Unrestricted Use
CC BY
Rating
0.0 stars

This resource consists of a Java applet and expository text. The applet simulates a random sample from a gamma distribution, and computes standard point estimates of the shape and scale parameters. The bias and mean square error are also computed.

Subject:
Mathematics
Probability and Statistics
Material Type:
Activity/Lab
Interactive
Simulation
Provider:
University of Alabama in Huntsville
Provider Set:
Virtual Laboratories in Probability and Statistics
Author:
Kyle Siegrist
Date Added:
05/04/2022
Gamma Experiment
Unrestricted Use
CC BY
Rating
0.0 stars

This resource consists of a Java applet and expository text. The applet simulates the time of the k'th arrival in a Poisson process. The arrival number k and the rate of the Poisson process can be varied. The applet illustrates the gamma distribution and a special case of the central limit theorem.

Subject:
Mathematics
Probability and Statistics
Material Type:
Activity/Lab
Simulation
Provider:
University of Alabama in Huntsville
Provider Set:
Virtual Laboratories in Probability and Statistics
Author:
Kyle Siegrist
Date Added:
02/01/2006
Interactive Histogram
Unrestricted Use
CC BY
Rating
0.0 stars

This resource consists of a Java applet and expository text. The applet allows the user to construct a histogram by clicking on a number line to generate the sample data. The class width can be varied and various summary statistics can be displayed.

Subject:
Mathematics
Probability and Statistics
Material Type:
Activity/Lab
Simulation
Provider:
University of Alabama in Huntsville
Provider Set:
Virtual Laboratories in Probability and Statistics
Author:
Kyle Siegrist
Date Added:
02/20/2006
Interactive Histogram with Error Graph
Unrestricted Use
CC BY
Rating
0.0 stars

This resource consists of a Java applet and expository text. The applet allows the user to construct a histogram by clicking on a number line to generate the sample data. The graph of an error function is shown, either mean square error or mean absolute error.

Subject:
Mathematics
Probability and Statistics
Material Type:
Interactive
Provider:
University of Alabama in Huntsville
Provider Set:
Virtual Laboratories in Probability and Statistics
Author:
Kyle Siegrist
Date Added:
05/04/2022
Interactive Scatterplot
Unrestricted Use
CC BY
Rating
0.0 stars

This resource consists of a Java applet and expository text. The applet allows the user to construct a scatterplot by clicking on a graph to generate the bivariate data. The means, standard deviations, correlation, and the regression line are shown.

Subject:
Mathematics
Probability and Statistics
Material Type:
Activity/Lab
Interactive
Simulation
Provider:
University of Alabama in Huntsville
Provider Set:
Virtual Laboratories in Probability and Statistics
Author:
Kyle Siegrist
Date Added:
05/04/2022
Matching Experiment
Unrestricted Use
CC BY
Rating
0.0 stars

This resource consists of a Java applet and expository text. The applet is a simulation of the matching experiment, which consists of a random permutation of the first n positive integers. The random variable of interest is the number of matches (the number of integers in the random permutation that are in their correct positions). The applet illustrates the distribution of the number of matches and the convergence to the Poisson distribution.

Subject:
Mathematics
Probability and Statistics
Material Type:
Activity/Lab
Interactive
Simulation
Provider:
University of Alabama in Huntsville
Provider Set:
Virtual Laboratories in Probability and Statistics
Author:
Kyle Siegrist
Date Added:
05/04/2022
Monty Hall Experiment
Unrestricted Use
CC BY
Rating
0.0 stars

This resource consists of a Java applet and expository text. The applet is a simulation of the Monty Hall experiment: a car is behind one door, goats are behind the other two doors. The player chooses a door and then the host opens another door. The player is given the option of switching to the remaining door. The stochastic behavior of the host and the probability of the player switching can be specified.

Subject:
Mathematics
Probability and Statistics
Material Type:
Activity/Lab
Simulation
Provider:
University of Alabama in Huntsville
Provider Set:
Virtual Laboratories in Probability and Statistics
Author:
Kyle Siegrist
Date Added:
01/18/2006
Monty Hall Game
Unrestricted Use
CC BY
Rating
0.0 stars

This resource consists of a Java applet and expository text. The applet consists of the Monty Hall game: a car is behind one door and goats are behind the other two doors. The player makes an initial choice and the host opens a different door. The player is then given the option of switching to the remaining door. The stochastic behavior of the host can be specified.

Subject:
Mathematics
Probability and Statistics
Material Type:
Activity/Lab
Interactive
Simulation
Provider:
University of Alabama in Huntsville
Provider Set:
Virtual Laboratories in Probability and Statistics
Author:
Kyle Siegrist
Date Added:
05/04/2022
Negative Binomial Experiment
Unrestricted Use
CC BY
Rating
0.0 stars

This resource consists of a Java applet and descriptive text. The applet illustrates the number of trials needed to get a specified number of successes in Bernoulli trials, in terms of random points on a discrete timeline. The applet illustrates the negative binomial distribution. The number of successes and the probability of success can be varied.

Subject:
Mathematics
Probability and Statistics
Material Type:
Activity/Lab
Interactive
Simulation
Provider:
University of Alabama in Huntsville
Provider Set:
Virtual Laboratories in Probability and Statistics
Author:
Kyle Siegrist
Date Added:
05/04/2022
Normal Estimate Experiment
Unrestricted Use
CC BY
Rating
0.0 stars

This resource consists of a Java applet and expository text. The applet simulates a random sample from a normal distribution, and computes standard point estimates of the distribution mean and standard deviation. The bias and mean square error are also computed.

Subject:
Mathematics
Probability and Statistics
Material Type:
Activity/Lab
Interactive
Simulation
Provider:
University of Alabama in Huntsville
Provider Set:
Virtual Laboratories in Probability and Statistics
Author:
Kyle Siegrist
Date Added:
05/04/2022
Order Statistic Experiment
Unrestricted Use
CC BY
Rating
0.0 stars

This resource consists of a Java applet and expository text. The applet simulates the order statistics of a random sample from a given distribution. The sample size, order, and sampling distribution can be specified.

Subject:
Mathematics
Probability and Statistics
Material Type:
Activity/Lab
Interactive
Simulation
Provider:
University of Alabama in Huntsville
Provider Set:
Virtual Laboratories in Probability and Statistics
Author:
Kyle Siegrist
Date Added:
05/04/2022
Pareto Estimate Experiment
Unrestricted Use
CC BY
Rating
0.0 stars

This resource consists of a Java applet and expository text. The applet simulates a random sample from a Pareto distribution, and computes standard point estimates of the shape parameter. The bias and mean square error are also computed.

Subject:
Mathematics
Probability and Statistics
Material Type:
Activity/Lab
Interactive
Simulation
Provider:
University of Alabama in Huntsville
Provider Set:
Virtual Laboratories in Probability and Statistics
Author:
Kyle Siegrist
Date Added:
05/04/2022
Poisson Experiment
Unrestricted Use
CC BY
Rating
0.0 stars

This resource consists of a Java applet and expository text. The applet simulates the arrivals in a Poisson process during a time interval. The length of the interval and the rate of the process can be varied. The applet illustrates the Poisson distribution and a special case of the central limit theorem.

Subject:
Mathematics
Probability and Statistics
Material Type:
Activity/Lab
Interactive
Simulation
Provider:
University of Alabama in Huntsville
Provider Set:
Virtual Laboratories in Probability and Statistics
Author:
Kyle Siegrist
Date Added:
05/04/2022
Poker Dice Experiment
Unrestricted Use
CC BY
Rating
0.0 stars

This resource consists of a Java applet and expository text. The experiment consists of rolling 5 fair dice. The random variable of interest is the type of hand.

Subject:
Mathematics
Probability and Statistics
Material Type:
Activity/Lab
Interactive
Simulation
Provider:
University of Alabama in Huntsville
Provider Set:
Virtual Laboratories in Probability and Statistics
Author:
Kyle Siegrist
Date Added:
05/04/2022
Poker Experiment
Unrestricted Use
CC BY
Rating
0.0 stars

This resource consists of a Java applet and expository text. The applet simulates the basic poker experiment of dealing 5 cards from a standard deck. The random variable of interest is the type of hand.

Subject:
Mathematics
Probability and Statistics
Material Type:
Interactive
Provider:
University of Alabama in Huntsville
Provider Set:
Virtual Laboratories in Probability and Statistics
Author:
Kyle Siegrist
Date Added:
05/04/2022
Probability Plot Experiment
Unrestricted Use
CC BY
Rating
0.0 stars

This resource consists of a Java applet and Expository text. The applet simulates the probability plot that compares the empirical quantiles of a sample from a sampling distribution to the distribution quantiles of a test distribution. The sampling distribution, test distribution, and sample size can be specified.

Subject:
Mathematics
Probability and Statistics
Material Type:
Activity/Lab
Interactive
Simulation
Provider:
University of Alabama in Huntsville
Provider Set:
Virtual Laboratories in Probability and Statistics
Author:
Kyle Siegrist
Date Added:
05/04/2022