Building Blocks

  • In these activities designed to introduce sampling distributions and the Central Limit Theorem, students generate several small samples and note patterns in the distributions of the means and proportions that they themselves calculate from these samples. Outside of class, students generate samples of dice rolls and coin spins and draw random samples from small populations for which data is given on each individual. Students report their sample means and proportions to the instructor who then compiles the results into a single data file for in-class exploration of sampling distributions and the Central Limit Theorem. Key words: Sampling distribution, sample mean, sample proportion, central limit theorem
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  • JChart2D is a minimalistic charting library published under the OSI approved GNU LESSER GENERAL PUBLIC LICENSE. It is designed for displaying multiple traces consisting of tracepoints. JChart2D is centered around a single configurable swing widget: the Chart2D. It is a JComponent that one can add to a java swing user interface. Therefore basic knowledge of java awt and swing and the information provided on this site is helpful. JChart2D is intended for engineering tasks and not for presentations. It's specialty is run time - dynamic precise display of data with a minimal configuration overhead.
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  • This article describes an activity that illustrates contingency table (two-way table) analysis. Students use contingency tables to analyze the "unusual episode" (the sinking of the ocean liner Titanic)data (from Dawson 1995) and attempt to use their analysis to deduce the origin of the data. The activity is appropriate for use in an introductory college statistics course or in a high school AP statistics course. Key words: contingency table (two-way table), conditional distribution
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  • This applet allows the user to choose from several discrete distributions and to see what happens to the distribution of a sum of these random variables. The labels on the x-axis are misleading for underlying distributions, such as the geometric, which cannot be negative.
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  • Has the following features: -Fast drawing mode with lower resolution for high performance real-time display - Slow drawing mode for high resolution, high quality printing, image output etc. - Output of charts in EPS,PS, as BufferedImage and (planned) PNG,SVG etc. - Linear, logarithmic and wrapped axes with auto scale. - Scatter plot, Contour plot; - Plots are fully configurable allowing all advantages of Java2D: Transparency, Scaling, Rotating, Clipping... - Text console allowing full control for keyboard lovers (planned) - Use console or pipe for in-/output (planned)
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  • This applet allows a person to add up to 50 points onto its green viewing screen. After each point is added by clicking on the screen with the mouse, a red line will appear. This red line represents a line passing through (Average x, Average y) with a slope that can be altered by clicking the Left or Right buttons. The slope of this line may also be changed by dragging the mouse either right or left. By clicking on Show Best Fit, a blue best fit line will be calculated by the computer.
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  • Gives some background on the Buffon needle problem. Has a link to an applet that allows one to simulate dropping a needle1, 10, 100, or 1000 times. One also has control over the length of the needle.
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  • Poses the following problem: Suppose there was one of six prizes inside your favorite box of cereal. Perhaps it's a pen, a plastic movie character, or a picture card. How many boxes of cereal would you expect to have to buy, to get all six prizes?
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  • Students explore the definition and interpretations of the probability of an event by investigating the long run proportion of times a sum of 8 is obtained when two balanced dice are rolled repeatedly. Making use of hand calculations, computer simulations, and descriptive techniques, students encounter the laws of large numbers in a familiar setting. By working through the exercises, students will gain a deeper understanding of the qualitative and quantitative relationships between theoretical probability and long run relative frequency. Particularly, students investigate the proximity of the relative frequency of an event to its probability and conclude, from data, the order on which the dispersion of the relative frequency diminishes. Key words: probability, law of large numbers, simulation, estimation
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  • An applet explores the following problem: A long day hiking through the Grand Canyon has discombobulated this tourist. Unsure of which way he is randomly stumbling, 1/3 of his steps are towards the edge of the cliff, while 2/3 of his steps are towards safety. From where he stands, one step forward will send him tumbling down. What is the probability that he can escape unharmed?
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