Sample Space & Sets

  • This online, interactive lesson on foundations provides examples, exercises, and applets which review the algebra of sets and functions, general relations with special emphasis on equivalence relations and partial orders, and some basic combinatorial structures such as permuations and combinations.
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  • This applet simulates a probability tree diagram. Step 1: Click inside the appropriate box on the desired level to build the tree. Step 2: Click on "Set Probabilities" at the top. Step 3. When you enter the respective probabilities, you must hit the ENTER key after each one. Step 4: Once all of the probabilities have been set (they should be blue), click "Final Tree" Step 5: Click "Simulation".
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  • This source defines and explains variance and standard deviation.
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  • Users can test their "psychic ability" to predict the future by guessing the outcome of a coin toss before it occurs. Enter your predictions by clicking the "heads" or "tails" button. When you enter your guess, the coin is tossed and the result is displayed. As you continue guessing, the applet keeps track of the total number of guesses and the total number of correct guesses, plotting it above. If you are truly psychic, you should be able to beat the odds in the long run. You can "weight" the coin by changing the probability of it landing heads.
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  • In this applet, A and B are subsets of a universal set S. The list is given of the 16 different subsets of S that can be constructed from A and B using the basic set operations of union, intersection, and complement. The selected subset is colored red in the Venn diagram on the right.
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  • Calculates unweighted kappa and kappa with linear and quadratic weightings, along with some other measures of concordance.

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  • This chapter of the HyperStat Online Textbook presents six sections on probability including conditional probability, unions, intersections, and the Binomial distribution. A link to exercises for the chapter is available, as well as a link to an applet that demonstrates the approximation of the binomial with a normal distribution (in section 5).
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  • A computational tool that runs the one-way ANOVA by the user inputing individual data or by copying and pasting a delimitted data set.

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