We present a stochastic model of suprathreshold perceptual differences based on difference measurement. We develop a maximum likelihood difference scaling (MLDS) method for estimating its parameters and evaluate the reliability and distributional robustness of the fitting method. We also describe a method for testing whether the difference measurement model is appropriate as a description of human judgment of perceptual differences in any specific experimental context.
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Maloney et al. (2003) studied this question.
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