High School

  • This journal article gives examples of erroneous beliefs about probability. It specifically examines the belief that a random sample must be representative of the true population.
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  • This journal article describes a set of experiments in which different methods of teaching Bayes' Theorem were compared to each other. The frequency representation of the rule was found to be easier to learn than the probability representation.
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  • This page introduces the definition of sufficient statistics and gives two examples of the use of factorization to prove sufficiency.
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  • This page discusses the theory behind the bootstrap. It discusses the empirical distribution function as an approximation of the distribution function. It also introduces the parametric bootstrap.
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  • This site provides links to lecture outlines for an upper-level statistics class. Topics include hypothesis testing, ANOVA and regression.
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  • This Electronic Statistics Textbook offers training in the understanding and application of statistics ... and covers a wide variety of applications, including laboratory research (biomedical, agricultural, etc.), business statistics and forecasting, social science statistics and survey research, data mining, engineering and quality control applications, and many others. Quoted from the index page of the text.
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  • This applet allows you to experience the fate of a gambler by simulating the whole gambling session in a matter of seconds. The applet plots the successive rises and falls of the capital during the whole duration of the game. It also displays the maximum and minimum values attained by the capital during the session and allows you to get precise information (by clicking at a point of the histogram) of the amount of capital after that particular bet.
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  • This page has links to an explanation of the applet and to the applet itself. It is a simulation of the T.V. game show. There are three doors to choose from and after making a choice, one of the other doors is revealed. The player can choose to pick the other unopened door or stay with their original choice. Afterwards the statistics of previous contestants are shown. (Note: the applet statistics are inaccurate)
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  • This is a collection of applets including Let's Make A Deal, Let's Make a Deal II, Monkey Words, Entropy, Vigenere, Rectangular Transposition, and Monoalphabetic Substitution.
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  • This applet doesn't have more explanation than - Let's Make a Deal II- An applet to demo at the UCLA conference. It has statistics for a number of tries at a time with choices for whether or not the host knows what is behind the door and whether or not the contestant switches doors after primary choice.
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