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Basic Rules

  • Our online calculators and converters can help you in many daily tasks that require calculations to complete.

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  • A rap about the basic rules of probability. The music and lyrics were written by Lawrence Mark Lesser of University of Texas at El Paso and won an honorable mention in the 2015 A-mu-sing contest. This song is part of an NSF-funded library of interactive songs that involved students creating responses to prompts that are then included in the lyrics (see www.causeweb.org/smiles for the interactive version of the song, a short reading covering the topic, and an assessment item).

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  • This dataset comes from a study on 200 rats (100 of each gender) which were given one of 5 treatments, and then allowed to mate. At delivery, information on the pups was collected, and a sample of 8 pups (4 of each gender) was chosen from each litter. Body weights for these pups were recorded once a week for three weeks. Questions this study focused on refer to the safety of the treatments. A text file version of the data is found in the relation link.
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  • This dataset comes from a study on two treatment sequences (AB, BA) given to 14 healthy male volunteers randomly assigned to a two-period crossover design. Three pharmacokinetic variables were collected on the subjects at the end of each treatment period. Questions this study focused on refer to whether the treatments (A,B)are equivalent. A text file version of the data is found in the relation link.
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  • This dataset comes from a study on drug treatments of reflux disease patients. Twelve patients were assigned to a four period crossover design, and data on their disease symptoms were collected after treatment. Questions this study focused on refer to dosage of the drug. A text file version of the data is found in the relation link.
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  • This module discusses the probability of an event and relative frequency. The applet shows how empirical probability converges to theoretical probability as the sample size increases. The follow-up example includes an applet that simulates drawing differently colored balls from an urn.
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  • This general, introductory tutorial on mathematical modeling (in pdf format) is intended to provide an introduction to the correct analysis of data. It addresses, in an elementary way, those ideas that are important to the effort of distinguishing information from error. This distinction constitutes the central theme of the material described herein. Both deterministic modeling (univariate regression) as well as the (stochastic) modeling of random variables are considered, with emphasis on the latter. No attempt is made to cover every topic of relevance. Instead, attention is focussed on elucidating and illustrating core concepts as they apply to empirical data.

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