Lubiano, María Asunción; Montenegro, Manuel; Pérez-Fernández, Sonia; Gil, María Ángeles Analyzing the influence of the rating scale for items in a questionnaire on Cronbach coefficient alpha. (English) Zbl 1497.62305 Balakrishnan, Narayanaswamy (ed.) et al., Trends in mathematical, information and data sciences. A tribute to Leandro Pardo. Based on the presentations at the symposium on information theory with applications to statistical inference, Madrid, Spain, December 2, 2019. Cham: Springer. Stud. Syst. Decis. Control 445, 377-388 (2023). Summary: Questionnaires are widely used in many different fields, especially in connection with human rating. Different rating scales are considered in questionnaires to base the response to their items on. The most popular scales of measurement are Likert-type ones. Other well-known rating scales to be involved in the items in a questionnaire are visual analogue, interval-valued, fuzzy linguistic and fuzzy rating scales. This paper aims to compare these five scales by means of a simulation study. The statistical tool for the comparison (actually, for the ranking) of the scales is the Cronbach index of internal consistency or reliability of a construct from a questionnaire. Percentages of advantages of the fuzzy rating scale verses the other ones, as well as values of the Cronbach index for some samples, are obtained and discussed.For the entire collection see [Zbl 1494.62008]. MSC: 62P15 Applications of statistics to psychology 62H30 Classification and discrimination; cluster analysis (statistical aspects) 62H86 Multivariate analysis and fuzziness PDFBibTeX XMLCite \textit{M. A. Lubiano} et al., Stud. Syst. Decis. 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