Bayesian Applications in Auditory Research

2019 ◽  
Vol 62 (3) ◽  
pp. 577-586 ◽  
Author(s):  
Garnett P. McMillan ◽  
John B. Cannon
Keyword(s):  
Monte Carlo ◽  
Markov Chain ◽  
Bayesian Methods ◽  
Prior Distribution ◽  
Interim Analysis ◽  
Iterative Process ◽  
Bayes Theorem ◽  
Sound Therapy ◽  
The Many ◽  
Auditory Research

Purpose This article presents a basic exploration of Bayesian inference to inform researchers unfamiliar to this type of analysis of the many advantages this readily available approach provides. Method First, we demonstrate the development of Bayes' theorem, the cornerstone of Bayesian statistics, into an iterative process of updating priors. Working with a few assumptions, including normalcy and conjugacy of prior distribution, we express how one would calculate the posterior distribution using the prior distribution and the likelihood of the parameter. Next, we move to an example in auditory research by considering the effect of sound therapy for reducing the perceived loudness of tinnitus. In this case, as well as most real-world settings, we turn to Markov chain simulations because the assumptions allowing for easy calculations no longer hold. Using Markov chain Monte Carlo methods, we can illustrate several analysis solutions given by a straightforward Bayesian approach. Conclusion Bayesian methods are widely applicable and can help scientists overcome analysis problems, including how to include existing information, run interim analysis, achieve consensus through measurement, and, most importantly, interpret results correctly. Supplemental Material https://doi.org/10.23641/asha.7822592

Is Psychology a Science or a Fuzzy Set?

1978 ◽  
Vol 23 (5) ◽  
pp. 319-320
Author(s):  
LEWIS WOLFGANG BRANDT
Keyword(s):  
Fuzzy Set

Methodology of ECG Interpretation in the Padova Program

1990 ◽  
Vol 29 (04) ◽  
pp. 386-392 ◽  
Author(s):  
R. Degani ◽  
G. Bortolan
Keyword(s):  
Decision Making ◽  
Medical School ◽  
Fuzzy Set ◽  
Medical Knowledge ◽  
Main Aspect ◽  
Measurement Evaluation ◽  
Possibility Distributions ◽  
Linguistic Decision Making ◽  
The University ◽  
Ecg Interpretation

AbstractThe main lines ofthe program designed for the interpretation of ECGs, developed in Padova by LADSEB-CNR with the cooperation of the Medical School of the University of Padova are described. In particular, the strategies used for (i) morphology recognition, (ii) measurement evaluation, and (iii) linguistic decision making are illustrated. The main aspect which discerns this program in comparison with other approaches to computerized electrocardiography is its ability of managing the imprecision in both the measurements and the medical knowledge through the use of fuzzy-set methodologies. So-called possibility distributions are used to represent ill-defined parameters as well as threshold limits for diagnostic criteria. In this way, smooth conclusions are derived when the evidence does not support a crisp decision. The influence of the CSE project on the evolution of the Padova program is illustrated.

Fuzzy-Set Theorie im Risikomanagement

Controlling ◽  
2010 ◽  
Vol 22 (12) ◽  
pp. 710-719
Author(s):  
Martin Klein
Keyword(s):  
Fuzzy Set

Multiple rough fuzzy set model

2011 ◽  
Vol 30 (12) ◽  
pp. 3366-3370
Author(s):  
Guang-qiu HUANG ◽  
Wei WANG
Keyword(s):  
Fuzzy Set ◽  
Rough Fuzzy Set

The Use of Fuzzy Set Classification for Pattern Recognition of the Polygraph

1993 ◽  
Author(s):  
Benjamin Knapp ◽  
Mitra Dastmalchi ◽  
Eric Jacobs ◽  
Shahab Layeghi
Keyword(s):  
Pattern Recognition ◽  
Fuzzy Set
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