Statistics

[Computations] [Permutations] [Generators] [Diagrams]

Virtual laboratories in Probability and statistics: Provides demonstrations to many sujects of statistics and probability illustrated by java applets.
A list of all applets on the site is avaliable.
(Copyright Kyle Siegrist and Jason York, University of Alabama)

Computations

Mean: Calculates the average of a series of numbers.
(John T.Behrens All rights reserved. CGI-script.)
Confidence Intervals for Means: Graphical demonstration of the confidence interval of mean for a random series.
A Calculator to Merge Two Samples: Computes the sample size, mean and standard deviation for a merge of two samples. Input is the corresponding data for the two samples.
(Copyright Mark H.Burge. Java Script)
Basic Statistics Computation: Computes the basic statistic properties of a series of numbers.
(JavaScript)
Casting Two Dice: Shows the average for each dice and for the sum, when throwing two dices any number of times.
(Copyright Stefan Waner and Steven R.Costenoble)
Monte Carlo Power Simulator: Demonstrates the Monte Carlo Algorithm to generate answer to a survey.
(Copyright 1997 by Bob Mitchell. Source code avaliable.)
Power of a Hypothesis: Shows a graphical interpretation of the power of a hypothesis test of the mean of a population with known variance.
Power calculator: Computes the power for a given sample size or vice versa.
(CGI-script)
Computing the Standard Deviation for a Population: Computes the standard deviation for a set.
(John t.Behrens All rights reserved. CGI-script.)
Variance: Computes the variance for a set of numbers.
(John T.Behrens All rights reserved. CGI-script.)
Computing the Covariance: Computes the covariance for a set of number pairs.
(John t.Behrens All rights reserved .CGI-script.)
Guessing Correlations: Match the correct correlation with the correct image. Top 20 list.
(STAT100)
Putting points: Let you put points in a coordinate system, and calculates the correlation coefficient and regression line. Random points with given correlation can be added.
(STAT100)
Student's t Tester Applet: Computes the key figures for the student's t-test from two series.
(Source code avaliable.)
Test of Proportions: Simulates a hypothesis test on a random set.
Bayes' Theorem: Provides a practical demonstration of Bayes theorem.
(JavaStat Project. JavaScript)
Spearman's Rank Correlation Java: Computes the Spearman's correlation coefficient, r_s, based on two data sets.
(Bryan Lewis at Kent State University. Source code avaliable.)
STATLETS ^TM: Takes input in a spreadsheet, and computes many statistical data and graphs.
(Statlets)
WebStat: Let you define any number of variable series, and perform several computations on them.
Contingency Table Analysis for Ordinal Categories: Computes many statistical properties of a data set.
(JavaStat Project. Java Script)
Proportion Difference Power Calculation: Computes the sample size needed to make a set with given significance level and power.
(JavaStat Project. Java Script)
Box Models: Analysis on a number of distributions, and demonstrations on how a random sample approaes the distribution.
(STAT100)
Scatter, Correlation and Regression: Demonstrates how regression and correlation goes with a random set.
(P.B:Stark All rights reserved.)
Median: Computes the median of a number of points.
(John T.Behrens All rights reserved. CGI-script.)
Survival Analysis: The following applet explores the behavior of the Kaplan-Meier and Pool-Adjacent-Violators estimators of the Survivorship function.
(Copyright Tony Rossini)
2-way Contingency Table Analysis: Computes risk, sensitivity, etc. for a Yates-corrected Chi-sqared on a 2x2 table.
(JavaStat Project. JavaScript)
New Confidence Interval Applet: Shows how many of a outcome is not within the limits of a confidence interval with a given alpha.
(Webster West. Department of Statistics)

Permutations

Permutations: Computes a two random sets of permutations, and calculates their products and other properties.
(Copyright Alexander Bogomolny)
Permutations tabloids: Displays various ways to write permutations. A change in one of the ways viewed, changes all the others.
Permutations: Lists all possible permutiations for n digits chosen from n numbers.
(Copyright Alexander Bogomolny)
Permutation Calculator: Computes permutations and properties of them.
Permutations: Demonstrates how to calculate permutations, and how they appear in cycles.
(Copyright Alexander Bogomolny)
Generate Subsets or Combinations: Computes all possible subsets or combinations based on the input figures.
(The (Combinatorial) Object Server. CGI-script.)
Set Partitions: Computes all possible partitions based on the input figures.
(The (Combinatorial) Object Server. CGI-script.)
Generate Necklaces: Computes all possible cyclic combinations based on the input figures.
(The (Combinatorial) Object server. CGI-script.)
Generate Permutations: Generate the avaliable permutations for given input restrictions. Output is avaliable in many forms.
(The (Combinatorial) Object Server.)

Generators

Rolling dices: Shows graphically how a random variable based on rolling dices is distributed, along with its expected distribution.
Central Limit Theorem: The same as above, but does not graph the mean.
(R. Todd Ogden, Dept. of Statistics, Univ. of South Carolina )
Probability: Shows how 500 dart throws is randomly distributed.
(Copyright Frank Wattenberg Department of Mathematics, Carroll College)
Coin Tossing Simulation: Simulates tossing a coin a number of times with a given probability of getting head.
(Source code avaliable)
The Data Applet: Analysis on a number of data sets.
(STAT100)
Statiscope: Demonstrates various charts representing data sets.
(Cobyright by Mikael Bonnier)
Wiener proces: Demonstrates the Wiener process, which governs Brownian motion.
(Topics in Modern Mathematics)
Gamma process: Shows the graph of a Gamma process and zoomes in on it.
(Source code avaliable.)
Bertrand's Paradox: Demonstrates Bertrand's paradox concerning the probability of a chord's length in relation to the sides of an inscribed triangle.
(Copyright Alexander Bogomolny)

Diagrams

Histogram Applet: Demonstrates how a histrogram changes with different binwidth.
(Webster West, Assistant Professor Departmen of Statistics)
The Law of Large Numbers: The Law of Large Numbers says that in repeated, independent trials with the same probability p of success in each trial, the chance that the percentage of successes differs from the probability p by more than a fixed positive amount, e > 0, converges to zero as the number of trials n goes to infinity, for every positive e.
(P.B.Stark All rights reserved)
Discrete inhibited population growth: Plots a graph of the iteration on the formula :
x_n+1 = x_n + (b /500)x_n (500 - x_n),
Group differences.: Shows how a sample from two groups is chosen when the groups have a normal distribution.
Brownian motion: Plots the path of a pollen grain suspended in water due to Brownian motion.
(Source code avaliable.)

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