On Symmetrizing Transformation of the Sample Coefficient of Variation from a Normal Population
Citation
Yogendra Prasad Chaubey, Murari Singh, Debaraj Sen. (11/6/2013). On Symmetrizing Transformation of the Sample Coefficient of Variation from a Normal Population. Communications in Statistics - Simulation and Computation, 42, pp. 2118-2134.
Abstract
Variance-stabilizing transformation (VST) for the sample coefficient of variation is often
used as a normalizing transformation and may be used for inference on the population
coefficient of variation. However, for small samples, the VST may not be symmetric and
hence there is a scope of improvement in its performance by seeking a symmetrizing
transformation. This article investigates such a transformation that has been obtained by
solving a differential equation. The solutionmay be complex; hence, a numerical strategy
is employed in order to make the approximation practically useful. This transformation
has been compared with explicitly available VST. The approach has been illustrated
on real data from an agricultural experiment concentrating on inference on single
samples; however, the method may be generally applicable to multiple samples when
testing the homogeneity of coefficients of variation for many populations by following
usual normal-theory-based methods applied on transformed statistics.
DSpace URI
https://hdl.handle.net/20.500.11766/7207Other URI
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Author(s) ORCID(s)
Chaubey, Yogendra Prasadhttps://orcid.org/0000-0002-0234-1429
Singh, Murarihttps://orcid.org/0000-0001-5450-0949
AGROVOC Keywords
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