Taekema, Maurice (2020) Statistical models for the perception of music. Bachelor's Thesis, Mathematics.
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Abstract
The well-known theatre Oosterpoort in Groningen conducted a sociological research into the perception of music by conducting a questionnaire. This research tries to build a mathematical analysis for such studies of perception. By using mathematics, the reduction of dimension and the interdependencies among latent constructs is analysed. It was found that a suitable model is possible, reducing about half (62 questions) into seven factors. Then, by using the regression coefficients a structural equation model, the structure of the model was given an interpretation. Additionally, by using factor score estimation procedures, a better numerical interpretation was given to the seven factors. Item response theory was used for presenting an in-depth analysis for each item loading onto the latent factors. Then, by using the result from the latter theory, a vastly improved structural model was successfully constructed. In parallel, a software package was developed in order to improve the usability of the standard software used for these mathematical techniques
Item Type: | Thesis (Bachelor's Thesis) |
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Supervisor name: | Krijnen, W.P. and Grzegorczyk, M.A. |
Degree programme: | Mathematics |
Thesis type: | Bachelor's Thesis |
Language: | English |
Date Deposited: | 24 Jul 2020 14:33 |
Last Modified: | 24 Jul 2020 14:33 |
URI: | https://fse.studenttheses.ub.rug.nl/id/eprint/22720 |
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