The robustness of the student t test when sampling from a Weibull distribution
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Authors
Allen, David P.
Subjects
Advisors
Tuck, G.A.
Date of Issue
1970-09
Date
Publisher
Monterey, California ; Naval Postgraduate School
Language
en_US
Abstract
When testing with the t-test, it is assumed that the
sample under investigation is from a norm.al population. The
purpose of this thesis is to examine the sensitivity of the
t-test to violations of this norm.ality assumption. A com.-
puter simulation was performed to draw sets of 10,000 samples
from an infinite V/eibull population. A t-test v;as perform.ed
on each sample to test the null hypothesis K : p <_ y where
\i was the true mean of the V/eibull population. The number
of times that H was rejected was recorded for all com.binao
tions of eight levels of significance, samples ranging in
size from 2 to 31, and for values of the parameters of the
distribution X = 1,2,3 and 3 = 1,2,3.
Type
Thesis
Description
Series/Report No
Department
Operations Research
Organization
Naval Postgraduate School
Identifiers
NPS Report Number
Sponsors
Funding
Format
Citation
Distribution Statement
Approved for public release; distribution is unlimited.