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Bayesian sequential experimental design for binary response data with application to electromyographic experiments

Azadi, Nammam Ali and Fearnhead, Paul and Ridall, Gareth and Blok, Joleen H. (2014) Bayesian sequential experimental design for binary response data with application to electromyographic experiments. Bayesian Analysis. ISSN 1931-6690

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    Abstract

    We develop a sequential Monte Carlo approach for Bayesian analysis of the experimental design for binary response data. Our work is motivated by surface electromyographic (SEMG) experiments, which can be used to provide information about the functionality of subjects' motor units. These experiments involve a series of stimuli being applied to a motor unit, with whether or not the motor unit res for each stimulus being recorded. The aim is to learn about how the probability of ring depends on the applied stimulus (the so-called stimulus response curve); One such excitability parameter is an estimate of the stimulus level for which the motor unit has a 50% chance of ring. Within such an experiment we are able to choose the next stimulus level based on the past observations. We show how sequential Monte Carlo can be used to analyse such data in an online manner. We then use the current estimate of the posterior distribution in order to choose the next stimulus level. The aim is to select a stimulus level that mimimises the expected loss. We will apply this loss function to the estimates of target quantiles from the stimulus-response curve. Through simulation we show that this approach is more ecient than existing sequential design methods for choosing the stimulus values. If applied in practice, it could more than halve the length of SEMG experiments.

    Item Type: Article
    Journal or Publication Title: Bayesian Analysis
    Uncontrolled Keywords: Bayesian design ; sequential design ; motor unit ; particle ltering, ; generalized linear model ; binary response
    Subjects:
    Departments: Faculty of Science and Technology > Mathematics and Statistics
    ID Code: 50238
    Deposited By: ep_importer_pure
    Deposited On: 04 Oct 2011 09:19
    Refereed?: Yes
    Published?: Published
    Last Modified: 11 Sep 2014 10:12
    Identification Number:
    URI: http://eprints.lancs.ac.uk/id/eprint/50238

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