caa a22 4500 606242090 CHVBK 20210128101316.0 cr unu---uuuuu 210128e20151201xx s 000 0 eng 10.1007/s11336-015-9475-8 doi (NATIONALLICENCE)springer-10.1007/s11336-015-9475-8 Evaluating Manifest Monotonicity Using Bayes Factors [Elektronische Daten] [Jesper Tijmstra, Herbert Hoijtink, Klaas Sijtsma] The assumption of latent monotonicity in item response theory models for dichotomous data cannot be evaluated directly, but observable consequences such as manifest monotonicity facilitate the assessment of latent monotonicity in real data. Standard methods for evaluating manifest monotonicity typically produce a test statistic that is geared toward falsification, which can only provide indirect support in favor of manifest monotonicity. We propose the use of Bayes factors to quantify the degree of support available in the data in favor of manifest monotonicity or against manifest monotonicity. Through the use of informative hypotheses, this procedure can also be used to determine the support for manifest monotonicity over substantively or statistically relevant alternatives to manifest monotonicity, rendering the procedure highly flexible. The performance of the procedure is evaluated using a simulation study, and the application of the procedure is illustrated using empirical data. The Author(s), 2015 Bayes factor nationallicence essential monotonicity nationallicence item response theory nationallicence latent monotonicity nationallicence manifest monotonicity nationallicence Tijmstra Jesper Department of Methodology and Statistics, Faculty of Social and Behavioral Sciences, Tilburg University, PO Box 90153, 5000LE, Tilburg, The Netherlands aut Hoijtink Herbert CITO, NATIONAL Institute for Educational Measurement, Arnhem, The Netherlands aut Sijtsma Klaas Tilburg University, Tilburg, The Netherlands aut Psychometrika Springer US; http://www.springer-ny.com 80/4(2015-12-01), 880-896 0033-3123 80:4<880 2015 80 11336 https://doi.org/10.1007/s11336-015-9475-8 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s11336-015-9475-8 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Tijmstra Jesper Department of Methodology and Statistics, Faculty of Social and Behavioral Sciences, Tilburg University, PO Box 90153, 5000LE, Tilburg, The Netherlands aut NATIONALLICENCE 700 1- Hoijtink Herbert CITO, NATIONAL Institute for Educational Measurement, Arnhem, The Netherlands aut NATIONALLICENCE 700 1- Sijtsma Klaas Tilburg University, Tilburg, The Netherlands aut NATIONALLICENCE 773 0- Psychometrika Springer US; http://www.springer-ny.com 80/4(2015-12-01), 880-896 0033-3123 80:4<880 2015 80 11336