In this paper, some new indices for ordinal data are introduced. These indices have been developed so as to measure the degree of concentration on the “small” or the “large” values of a variable whose level of measurement is ordinal. Their advantage in relation to other approaches is that they ascribe unequal weights to each class of values. Although, they constitute a useful tool in various fields of applications, the focus here is on their use in sample surveys and specifically in situations where one is interested in taking into account the “distance” of the responses from the “neutral” category in a given question. The properties of these indices are examined and methods for constructing confidence intervals for their actual values are discussed. The performance of these methods is evaluated through an extensive simulation study.
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Paper provided by University Library of Munich, Germany in its series MPRA Paper with number
6395.
Length: Date of creation: 2005 Date of revision: Publication status: Published in Quality and Quantity 5.39(2005): pp. 515-536 Handle: RePEc:pra:mprapa:6395
Find related papers by JEL classification: C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General
References listed on IDEAS Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
Maravelakis, Petros & Perakis, Michael & Psarakis, Stelios & Panaretos, John, 2003.
"The Use of Indices in Surveys,"
MPRA Paper
6388, University Library of Munich, Germany.
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