@inbook{21c779f15b904a64910fb67c91239b1e,
title = "A new index for the comparison of different measurement scales",
abstract = "In psychometric sciences, a common problem is the choice of a good response scale. Every scale has, by its nature, a propensity to lead a respondent to mainly positive- or negative- ratings. This paper investigates possible causes of the discordance between two ordinal scales evaluating the same goods or services.In psychometric literature, Cohen{\textquoteright}s Kappa is one of the most important index to evaluate the strength of agreement, or disagreement, between two nominal variables, in particular in its weighted version. In this paper, a new index is proposed. A proper procedure to determine the lower and upper triangle in a non-square table is also implemented, as to generalize the index in order to compare two scales with a different number of categories. A test is set up with the aim to verify the tendency of a scale to have a different rating compared to a different one. A study with real data is conducted.",
keywords = "Agreement index, Measurement ordinal scale, Weighted kappa, Agreement index, Measurement ordinal scale, Weighted kappa",
author = "Andrea Bonanomi",
year = "2014",
doi = "10.1007/978-3-319-06692-9_7",
language = "English",
isbn = "978-3-319-06691-2",
volume = "49",
series = "STUDIES IN CLASSIFICATION, DATA ANALYSIS, AND KNOWLEDGE ORGANIZATION",
pages = "55--63",
editor = "Vicari, {D., Okada, A., Ragozini, G., Weihs, C.}",
booktitle = "Analysis and Modeling of Complex Data in Behavioral and Social Sciences",
}