JSM 2005 Online Program

Abstract #303806

This is the preliminary program for the 2005 Joint Statistical Meetings in Minneapolis, Minnesota. Currently included in this program is the "technical" program, schedule of invited, topic contributed, regular contributed and poster sessions; Continuing Education courses (August 7-10, 2005); and Committee and Business Meetings. This on-line program will be updated frequently to reflect the most current revisions.

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Activity Number:	147
Type:	Contributed
Date/Time:	Monday, August 8, 2005 : 10:30 AM to 12:20 PM
Sponsor:	General Methodology
Abstract - #303806
Title:	Applying Pareto's Law to Statistics: A General Investigation
Author(s):	Patrick Bartshe*+
Companies:	Arizona State University
Address:	14632 Yerba Buena Way, Fountain Hills, AZ, 85268, United States
Keywords:	Pareto's ; Law ; statistics ; t-test
Abstract:	Vilfredo Pareto, an Italian economist, observed 80% of the land in Italy was owned by 20% of the people. He later found the 80/20 ratio could be applied to a variety of entities and developed what is currently known as Pareto's Law or principle. This poster investigates whether Pareto's Law can be applied to statistical inference. More precisely, do 20% of the observations account for 80% of the variability between datasets with significant differences? Random datasets of varying sample sizes were created using SAS and SPSS. The t-test was selected as the instrument of observation because of its parsimonious structure. The datasets were grouped in pairs according to equal sample size and t-tests were implemented to check for significant differences between the group means. Only t-tests that produced significant results were observed (alpha less than .05). A grand mean of each dataset pair was computed, and observations of about one and half standard deviations away from the mean were considered as the influential 20%.

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