local stochastic independence
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2021 ◽  
Vol 6 ◽  
Author(s):  
Julia Ehninger ◽  
Jens Knigge ◽  
Michael Schurig ◽  
Christian Rolle

In this paper, we introduce the MARKO competency test and competency model, a new measurement instrument for music-related argumentative competence (MARKO: Musikbezogene ARgumentationsKOmpetenz; German for music-related argumentative competence). This competence, which plays an essential role in school curricula, refers to the ability to justify, and defend judgments about music. The two main goals of this study were 1) to design an assessment test for music-related argumentation that fulfills psychometric criteria and 2) to derive competency levels based on empirical data to describe the cognitive dispositions that are necessary when engaging in argumentation about music. Based on a theoretical framework, we developed a competency test to assess music-related argumentative competence. After two pretests (n = 391), we collected data from 440 students from grade nine to the university level. The final test consisted exclusively of open-ended items, which were rated with coding schemes that had been designed for each item. After ensuring inter-rater reliability, we composed an item pool that met psychometric criteria (e.g., local stochastic independence and item homogeneity) and represented content-related aspects in a meaningful way. Based on this item pool, we estimated a one-dimensional partial credit model. Following a standard-setting approach, four competency levels were derived from the empirical data. While individuals on the lowest competency level expressed their own opinions about the music by referring to salient musical attributes, participants on the highest level discussed different opinions on the music, and considered the social and cultural context of the music. The proficiency scores significantly varied between grades. Our findings empirically support some theoretical assumptions about music-related argumentation and challenge others.



1988 ◽  
Vol 31 ◽  
pp. 57-70
Author(s):  
John H.A.L. de Jong

This paper provides an elementary introduction to the one parameter psychometric model known as the Rasch model. It explains the basic principles underlying the model and the concepts of unidimensionality, local stochastic independence, and additivity in non-mathematical terms. The requirements of measurement procedures, the measurement of latent traits, the control on model fit, and the definition of a trait are discussed. It is argued that the Rasch model is particularly appropriate to understand the mutual dependence of test reliability and validity. Examples from foreign language listening comprehension tests are used to illustrate the application of the model to a test validation procedure.



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