JSM 2013 Home
Online Program Home
My Program

Abstract Details

Activity Number: 33
Type: Contributed
Date/Time: Sunday, August 4, 2013 : 2:00 PM to 3:50 PM
Sponsor: Section on Statistical Computing
Abstract - #309898
Title: Computing and Graphing Probability Values of Pearson Distributions: A SAS/IML Macro
Author(s): Wei Pan*+ and John C. Boling
Companies: Duke University and Duke University
Keywords: Pearson distributions ; nonparametric statistics ; curve fitting

Any empirical data can be nonparametrically fitted to one of Pearson distributions using the first four moments (Elderton & Johnson, 1969; Ord, 1972; Pearson, 1895). Pearson and Hartley's (1972) tables as well as the existing computer programs (e.g., Amos & Daniel, 1971; Bouver & Bargmann, 1973; Davis & Stephens, 1983; Pan, 2009) provide a means of obtaining percentage points of Pearson distributions but for only certain pre-specified percentages or probability values (e.g., 1.0%, 2.5%, ., 99.0%). To obtain a percentage point of Pearson distributions for any given probability value, other than the pre-specified probability values, researchers often have to rely on unwieldy second difference interpolation. Conversely, the same problem also exists in obtaining a probability value of Pearson distributions for any given percentage point. Thus, the present study develops a SAS/IML Marco to compute and graph probability values of Pearson distributions for any given percentage point so as to facilitate researchers to conduct nonparametric statistical analysis or testing that requires obtaining probability values of Pearson distributions for any given percentage points.

Authors who are presenting talks have a * after their name.

Back to the full JSM 2013 program

2013 JSM Online Program Home

For information, contact jsm@amstat.org or phone (888) 231-3473.

If you have questions about the Continuing Education program, please contact the Education Department.

The views expressed here are those of the individual authors and not necessarily those of the JSM sponsors, their officers, or their staff.

ASA Meetings Department  •  732 North Washington Street, Alexandria, VA 22314  •  (703) 684-1221  •  meetings@amstat.org
Copyright © American Statistical Association.