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Statistical demonstration Java applets | |
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 November
23, 1999 |
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| One variable | ||
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| This applet simulates finding confidence intervals for the mean of a normal random variable.
A sample of size 20 is generated from a standard normal random variable. The blue marks represent the sample data.
The sample mean and standard deviation are found and used to calculate the confidence interval. http://www.math.csusb.edu/faculty/stanton/m262/confidence_means/confidence_means.html |
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| Rolling dice http://www.math.csusb.edu/faculty/stanton/m262/central_limit_theorem/clt.html |
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| Rolling dice http://www.stat.sc.edu/~west/javahtml/CLT.html |
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| This applet simulates a series of hypothesis tests for the value of the parameter p in a Bernoulli
random variable. Each column of red and green marks represents a sample of 30 observations. "Successes'' are
coded by green marks and "failures'' by red marks. http://www.math.csusb.edu/faculty/stanton/m262/proportions/proportions.html |
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| This example demonstrates how the t distribution approaches the normal distribution for large
degrees of freedom. http://www-stat.stanford.edu/~naras/jsm/TDensity/TDensity.html |
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| This Java applet shows how the binomial distribution can be approximated by the normal distribution.
The initial values are for a binomial distribution with the parameters N = 8 and p = 0.5 where N is the number
of trials and p is the probability of success on each trial. You can change the values of N and p and see the result. http://www.ruf.rice.edu/~lane/stat_sim/binom_demo.html |
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| This applet simulates Galton's Board, in which balls are dropped through a triangular array
of nails. This device is also called a "quincunx." Every time a ball hits a nail it has a probability
of 50 percent to fall to the left of the nail and a probability of 50 percent to fall to the right of the nail. http://stad.dsl.nl/~berrie1/index.html |
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| What bin width do you think provides the best picture of the underlying data? http://www.stat.sc.edu/~west/javahtml/Histogram.html |
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| This applet demonstrates basic properties of the mean and median including (a) the effect of
skew on the relative size of the mean and median, (b) the mean deviation from the mean is zero, and (c) the mean
squared deviation from the mean is less than or equal to the mean squared deviation from the median (or any other
number). http://www.ruf.rice.edu/~lane/stat_sim/descriptive/index.html |
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| Create a boxplot and histogram. Intervally measured data may be entered from the keyboard or
pre-loaded datasets. http://www.ctc.edu/~tkaupe/211/java/describe/describe.htm |
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| This Java applet lets you explore various aspects of sampling distributions. When the applet
begins, a histogram is displayed at the top of the screen. This is the distribution from which samples are taken. The mean of the distribution is indicated by a small blue line and the median is indicated by a small purple line. The second histogram displays the sample data. This histogram is initially blank. The third and fourth histograms show the distribution of statistics computed from the sample data. http://www.ruf.rice.edu/~lane/stat_sim/sampling_dist/index.html |
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| Two variables | ||
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| This applet lets you mark the locations of ordered pairs (x, y), determines the equation of
the regression line, and graphs it. http://www.math.csusb.edu/faculty/stanton/m262/regress/regress.html |
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| Use the mouse to put points in the blue area. After each point, the correlation coefficient
and the regression equation will be calculated. http://www.stat.uiuc.edu/~stat100/java/guess/PPApplet.html |
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| Effect of outlier data points on a regression line http://www.stat.sc.edu/~west/javahtml/Regression.html |
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| Fit a regression line to data and add 95% confidence limits http://www.stat.wvu.edu/SRS/Modules/Applets/Regression/regression.html |
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| Points P1 through P6 represent data points. A line is drawn through the points and from each
data point to the line a square is constructed. Drag the y-intercept and slope of the line so that the sum of the
areas of the squares is minimized. That line is the least squares regression line for the data. http://www.keypress.com/sketchpad/java_gsp/squares.html |
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| The bivariate normal distribution has two variables, z1 and z2, possibly dependent. http://www.math.csusb.edu/faculty/stanton/m262/target/target.html |
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| Java Applets for Visualisation of Statistical Concepts about 20 Java applets illustrating regression and ANOVA concepts (be patient -- these take a while to load) http://www.kuleuven.ac.be/ucs/java/index.html |
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| Rice Virtual Lab in Statistics -- Simulations/Demos http://www.ruf.rice.edu/~lane/stat_sim/index.html |
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| Match the scatterplots with the correlation coefficients http://www.stat.uiuc.edu/~stat100/java/guess/GCApplet.html http://www.stat.uiuc.edu/~stat100/java/GCApplet/GCAppletFrame.html |
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Data analysis with many kinds of small data sets http://www.stat.uiuc.edu/~stat100/cuwu/ |
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| Play with the sliders to change the correlation coefficient and the sample size. http://www.stat.berkeley.edu/users/stark/Java/Correlation.htm |
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| This applet lets you study the relationship between pairs of variables using scatterplots, the
correlation coefficient, the graph of averages, linear regression, and residual plots. You can select one of four
data sets: the number of homeless in 50 cities in the USA, data about the 47 smallest of those 50 cities, pollutant
emissions from EPA test vehicles in 96 tests, and data about the GPAs and GMAT scores of 913 first year MBA students http://www.stat.berkeley.edu/users/stark/Java/ScatterPlot.htm |
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| Specify the probability of success, P(S), and sample size, N, for the experimental conditions
(Cond 1 and Cond 2). For each simulation, two chi-square tests are conducted. One test does not use the Yates correction
for continuity. The other uses the Yates correction when the smallest expected frequency is less than 5. http://www.ruf.rice.edu/~lane/stat_sim/contingency/index.html |
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| A scatterplot is displayed and you draw in a regression line by hand. You can then compare your
line to the best least squares fit. You can also try to guess the value of Pearson's correlation coefficient http://www.ruf.rice.edu/~lane/stat_sim/reg_by_eye/index.html |
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| Demonstrates how data transformations of the x and/or y variables (log, square-root, or square)
affect the relationship between two variables. http://www.ruf.rice.edu/~lane/stat_sim/transformations/index.html |
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| This applet creates a scatterplot and regression line and computes basic correlation and regression
statistics. Data may be entered from the keyboard, mouse, or pre-loaded datasets. Use the arrow keys and the Home
button to navigate the spread sheet and enter data. http://www.ctc.edu/~tkaupe/211/java/correlate/correlate.htm |
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| http://yip5.chem.wfu.edu/yip/spectspy/specmain.html |
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| http://www.ctc.edu/~tkaupe/211/java/describe/describe.htm http://www.coe.tamu.edu/~strader/Mathematics/Statistics/LeastSquares/least_squares.html http://www.duxbury.com/authors/mcclellandg/tiein/howell/reg.htm http://www.duxbury.com/authors/mcclellandg/tiein/howell/chisq.htm http://www.duxbury.com/authors/mcclellandg/tiein/howell/chisq2.htm http://www.duxbury.com/authors/mcclellandg/tiein/howell/correlation.htm http://espse.ed.psu.edu/espse/hale/edpsy101/Chapters/Chapter14/residuals.html http://www.maths.napier.ac.uk/~neilt/show_off/whirl.htm |
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| Lawrence L. Giventer Professor, Dept. of Politics & Public Administration California State University, Stanislaus Turlock, CA 95382 http://web.csustan.edu/ppa/llg/stat_demos.htm November 23, 1999 |
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