Yes-No Staircases with Fixed Step Sizes: Psychometric Properties and Optimal Setup

Interest in the use of adaptive staircase methods in clinical practice is increasing, but time limitations require that they be based on yes-no trials. The psychometric properties of yes-no staircases with fixed step sizes (FSS staircases) in small-sample situations have never been studied in depth. As a result, information is lacking as to what is the optimal setup for an FSS staircase. To determine this optimal setup, we used simulation techniques to study the asymptotic and small-sample convergence of yes-no FSS staircases as a function of the up/down rule, the size of the steps up or down, the starting stimulus level, the spread of the psychometric function, and the lapsing rate. Our results indicate that yes-no FSS staircases with steps up and down of the same size are unstable because with these settings, the staircases yield different results across variations in irrelevant parameters such as the spread of the psychometric function or the starting level. Our study also identified settings with which the properties of estimates are unaffected by these factors. With these optimal settings, yes-no FSS staircases can provide very quick and accurate estimates in 7 to 8 trials. Practical recommendations are given to get the best out of yes-no FSS staircases.

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