JSM 2004 - Toronto

Abstract #302091

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Activity Number: 443
Type: Contributed
Date/Time: Thursday, August 12, 2004 : 10:30 AM to 12:20 PM
Sponsor: Section on Statistical Education
Abstract - #302091
Title: Using APPL
Author(s): Diane Evans*+
Companies: Rose-Hulman Institute of Technology
Address: Mathematics Dept., Terre Haute, IN, 47803,
Keywords: computer algebra system ; post-calculus statistics ; probability distributions
Abstract:

This talk shows how the Maple-based software tool APPL, "A Probability Programming Language," can be utilized in the classroom for performing random variable manipulations and calculations (e.g., PDF/CDF conversions, convolutions, distribution plot comparisons) for both well-known and arbitrary distributions. I have integrated the use of APPL into my post-calculus introductory statistics and probability courses at Rose-Hulman Institute of Technology. The student response has been positive; they are able to (1) minimize time spent on tedious calculations and devote it to the problem solving process, (2) test their own ideas and conjectures about random variable behavior, and (3) visually compare their numerical answers to plots obtained with APPL. I am able to provide convincing evidence of well-known theorems, such as the Central Limit Theorem, through exact random variable manipulation instead of simulations. Using APPL has allowed me to give students an intuitive glimpse behind statistical and probabilistic theory while having time for illustrating this theory in applications. This talk will illustrate the usefulness and power of the APPL language.

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