1. Thurstonian model for the four-interval oddity task.
- Author
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Bi, Jian, Lee, Hye-Seong, and O'Mahony, Michael
- Subjects
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DISTRIBUTION (Probability theory) , *GAUSSIAN distribution , *CURIOSITIES & wonders , *BIVARIATE analysis , *PSYCHOMETRICS , *DATA analysis - Abstract
• Psychometric function based on a normal distribution function. • Psychometric function based on a bivariate normal distribution function. • Psychometric function based on a non-central F -distribution function. • Four-interval oddity test is more powerful than the Triangle and Duo-trio tests. • Tables and R codes for data analysis using the four-interval oddity task. The four-interval oddity task is an extension of the Triangle method, which is the three-interval oddity task and is one of the most broadly used conventional sensory discrimination methods. It is a special case of the m - interval oddity task or the m - alternative odd-man-out task where m = 4. It is also a special situation of the unspecified 'M + N' with M = 3 and N = 1. Some new forms of the analytical psychometric function for the four-interval oddity task based on a normal distribution function, a bivariate normal distribution function, and a non-central F -distribution function are provided originally in this paper. The performance of the four-interval oddity task in both difference testing and similarity/equivalence testing is explored and compared with some unspecified forced-choice sensory discrimination methods including the Triangle. Tables and R codes are presented and provided for estimations of the probability of correct response, P c , Thurstonian discriminal distance δ or d´ , and the B value for estimating the variance of d´ for the four-interval oddity task. [ABSTRACT FROM AUTHOR]
- Published
- 2023
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