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Abstract
For normally distributed populations, we obtain confidence bounds on a ratio of two coefficients of variation, provide a test for the equality of
k coefficients of variation, and provide confidence bounds on a coefficient of variation shared by
k populations.
Keywords
asymptotics,
coefficient of variation,
consistent estimators,
Cramer conditions,
efficient likelihood estimators,
likelihood ratio test,
Newton's method,
one-step Newton estimators,
quadratic mean differentation,
Rao test,
risk to return ratio,
signal to noise ratio,
Wald test,
mathematical statistics,
data processing,
statistical hypothesis testing,
equations,
confidence intervals,
xylan,
coefficients of variation,
statistical analysis
Citation
Verrill, Steve; Johnson, Richard A. 2007. Confidence bounds and hypothesis tests for normal distribution coefficients of variation. Communications in Statistics - Theory and Methods. 36(12): 2187-2206.