Statistics for a composite distribution in anthropometric studies: the general case

This study is an extension to an earlier work to find statistics for a composite distribution of two populations with known distributions. The mean, standard deviation, and any percentile may be found for the composite population. Formulae were developed for the mean and standard deviation whereas t...

Full description

Saved in:
Bibliographic Details
Published in:Ergonomics 1999-04, Vol.42 (4), p.565-572
Main Author: Al Haboubi, Muhammad H
Format: Article
Language:English
Subjects:
Anthropometrics
Applied physiology
Biological and medical sciences
Composite Distribution
Ergonomics
Ergonomics. Work place. Occupational physiology
Human physiology applied to population studies and life conditions. Human ecophysiology
Medical sciences
Minority & ethnic groups
Normal Distribution
Statistics
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This study is an extension to an earlier work to find statistics for a composite distribution of two populations with known distributions. The mean, standard deviation, and any percentile may be found for the composite population. Formulae were developed for the mean and standard deviation whereas the percentiles were found by numerical solution and a computer program was prepared to find them. In this study, an analytical solution is developed to find the percentiles in the case of normal distributions for any number of populations. The mean and standard deviation formulae are extended to as many populations as required. A computer program is prepared to find these statistics for composite populations. The cumulative distribution of the composite distribution is defined.
ISSN:0014-0139
1366-5847
DOI:10.1080/001401399185478