A statistical modelling of the visual acuity measurement and its multiple test procedure


Abstract


To establish the computer assisted system of the visual acuity test, we propose a statistical modelling of the visual acuity measurement and its multiple test procedure. The psychometric functions for individual patients are produced by the logistic regression combined with the guessing rate. We adopt test statistics based on (i) psychometric functions (the Cochran-Mantel-Haenszel method) and (ii) psychophysical thresholds (the delta method). The multiple comparisons are performed by the step-down procedure with Ryan-Einot-Gabriel-Welsch (REGW) significance levels. To show the practical effectiveness of our system, we present a numerical example of four patient groups.


DOI Code: 10.1285/i20705948v13n1p1

Keywords: Cochran-Mantel-Haenszel test statistic; delta test statistic; psychometric functions; psychophysical thresholds; step-down procedure

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