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Accuracy, A, vs. detectability index, d, for the Bayesian static stopping (SS) and dynamic stopping (DS) algorithms for a 9 × 8 row-column paradigm. P300 spelling runs were simulated assuming normally distributed classifier scores <t>(normrnd()</t> in MATLAB®) specified according to the detectability index, and with sequence limit, s, and data collection limit, tmax = s × (9 + 8) flashes, if applicable. (a) Comparison of the accuracy obtained analytically, Assa (Algorithm 1), to that determined via simulations, Asss, for the Bayesian SS algorithm. (b) Comparison of Assa to that determined via simulations for the truncated, Atdss, and untruncated, Audss, Bayesian DS algorithms, both with a stopping probability threshold, Pth = 0.9.
Normrnd In Matlab, supplied by MathWorks Inc, used in various techniques. Bioz Stars score: 90/100, based on 1 PubMed citations. ZERO BIAS - scores, article reviews, protocol conditions and more
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Accuracy, A, vs. detectability index, d, for the Bayesian static stopping (SS) and dynamic stopping (DS) algorithms for a 9 × 8 row-column paradigm. P300 spelling runs were simulated assuming normally distributed classifier scores <t>(normrnd()</t> in MATLAB®) specified according to the detectability index, and with sequence limit, s, and data collection limit, tmax = s × (9 + 8) flashes, if applicable. (a) Comparison of the accuracy obtained analytically, Assa (Algorithm 1), to that determined via simulations, Asss, for the Bayesian SS algorithm. (b) Comparison of Assa to that determined via simulations for the truncated, Atdss, and untruncated, Audss, Bayesian DS algorithms, both with a stopping probability threshold, Pth = 0.9.
Function Normrnd, supplied by MathWorks Inc, used in various techniques. Bioz Stars score: 90/100, based on 1 PubMed citations. ZERO BIAS - scores, article reviews, protocol conditions and more
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Accuracy, A, vs. detectability index, d, for the Bayesian static stopping (SS) and dynamic stopping (DS) algorithms for a 9 × 8 row-column paradigm. P300 spelling runs were simulated assuming normally distributed classifier scores <t>(normrnd()</t> in MATLAB®) specified according to the detectability index, and with sequence limit, s, and data collection limit, tmax = s × (9 + 8) flashes, if applicable. (a) Comparison of the accuracy obtained analytically, Assa (Algorithm 1), to that determined via simulations, Asss, for the Bayesian SS algorithm. (b) Comparison of Assa to that determined via simulations for the truncated, Atdss, and untruncated, Audss, Bayesian DS algorithms, both with a stopping probability threshold, Pth = 0.9.
Normrnd Normal Random Number Generator, supplied by MathWorks Inc, used in various techniques. Bioz Stars score: 90/100, based on 1 PubMed citations. ZERO BIAS - scores, article reviews, protocol conditions and more
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Accuracy, A, vs. detectability index, d, for the Bayesian static stopping (SS) and dynamic stopping (DS) algorithms for a 9 × 8 row-column paradigm. P300 spelling runs were simulated assuming normally distributed classifier scores <t>(normrnd()</t> in MATLAB®) specified according to the detectability index, and with sequence limit, s, and data collection limit, tmax = s × (9 + 8) flashes, if applicable. (a) Comparison of the accuracy obtained analytically, Assa (Algorithm 1), to that determined via simulations, Asss, for the Bayesian SS algorithm. (b) Comparison of Assa to that determined via simulations for the truncated, Atdss, and untruncated, Audss, Bayesian DS algorithms, both with a stopping probability threshold, Pth = 0.9.
Normrnd Function, supplied by MathWorks Inc, used in various techniques. Bioz Stars score: 90/100, based on 1 PubMed citations. ZERO BIAS - scores, article reviews, protocol conditions and more
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Accuracy, A, vs. detectability index, d, for the Bayesian static stopping (SS) and dynamic stopping (DS) algorithms for a 9 × 8 row-column paradigm. P300 spelling runs were simulated assuming normally distributed classifier scores <t>(normrnd()</t> in MATLAB®) specified according to the detectability index, and with sequence limit, s, and data collection limit, tmax = s × (9 + 8) flashes, if applicable. (a) Comparison of the accuracy obtained analytically, Assa (Algorithm 1), to that determined via simulations, Asss, for the Bayesian SS algorithm. (b) Comparison of Assa to that determined via simulations for the truncated, Atdss, and untruncated, Audss, Bayesian DS algorithms, both with a stopping probability threshold, Pth = 0.9.
Matlab Functions Unifrnd, supplied by MathWorks Inc, used in various techniques. Bioz Stars score: 90/100, based on 1 PubMed citations. ZERO BIAS - scores, article reviews, protocol conditions and more
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Accuracy, A, vs. detectability index, d, for the Bayesian static stopping (SS) and dynamic stopping (DS) algorithms for a 9 × 8 row-column paradigm. P300 spelling runs were simulated assuming normally distributed classifier scores <t>(normrnd()</t> in MATLAB®) specified according to the detectability index, and with sequence limit, s, and data collection limit, tmax = s × (9 + 8) flashes, if applicable. (a) Comparison of the accuracy obtained analytically, Assa (Algorithm 1), to that determined via simulations, Asss, for the Bayesian SS algorithm. (b) Comparison of Assa to that determined via simulations for the truncated, Atdss, and untruncated, Audss, Bayesian DS algorithms, both with a stopping probability threshold, Pth = 0.9.
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Accuracy, A, vs. detectability index, d, for the Bayesian static stopping (SS) and dynamic stopping (DS) algorithms for a 9 × 8 row-column paradigm. P300 spelling runs were simulated assuming normally distributed classifier scores <t>(normrnd()</t> in MATLAB®) specified according to the detectability index, and with sequence limit, s, and data collection limit, tmax = s × (9 + 8) flashes, if applicable. (a) Comparison of the accuracy obtained analytically, Assa (Algorithm 1), to that determined via simulations, Asss, for the Bayesian SS algorithm. (b) Comparison of Assa to that determined via simulations for the truncated, Atdss, and untruncated, Audss, Bayesian DS algorithms, both with a stopping probability threshold, Pth = 0.9.
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Accuracy, A, vs. detectability index, d, for the Bayesian static stopping (SS) and dynamic stopping (DS) algorithms for a 9 × 8 row-column paradigm. P300 spelling runs were simulated assuming normally distributed classifier scores <t>(normrnd()</t> in MATLAB®) specified according to the detectability index, and with sequence limit, s, and data collection limit, tmax = s × (9 + 8) flashes, if applicable. (a) Comparison of the accuracy obtained analytically, Assa (Algorithm 1), to that determined via simulations, Asss, for the Bayesian SS algorithm. (b) Comparison of Assa to that determined via simulations for the truncated, Atdss, and untruncated, Audss, Bayesian DS algorithms, both with a stopping probability threshold, Pth = 0.9.
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Accuracy, A, vs. detectability index, d, for the Bayesian static stopping (SS) and dynamic stopping (DS) algorithms for a 9 × 8 row-column paradigm. P300 spelling runs were simulated assuming normally distributed classifier scores <t>(normrnd()</t> in MATLAB®) specified according to the detectability index, and with sequence limit, s, and data collection limit, tmax = s × (9 + 8) flashes, if applicable. (a) Comparison of the accuracy obtained analytically, Assa (Algorithm 1), to that determined via simulations, Asss, for the Bayesian SS algorithm. (b) Comparison of Assa to that determined via simulations for the truncated, Atdss, and untruncated, Audss, Bayesian DS algorithms, both with a stopping probability threshold, Pth = 0.9.
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Accuracy, A, vs. detectability index, d, for the Bayesian static stopping (SS) and dynamic stopping (DS) algorithms for a 9 × 8 row-column paradigm. P300 spelling runs were simulated assuming normally distributed classifier scores <t>(normrnd()</t> in MATLAB®) specified according to the detectability index, and with sequence limit, s, and data collection limit, tmax = s × (9 + 8) flashes, if applicable. (a) Comparison of the accuracy obtained analytically, Assa (Algorithm 1), to that determined via simulations, Asss, for the Bayesian SS algorithm. (b) Comparison of Assa to that determined via simulations for the truncated, Atdss, and untruncated, Audss, Bayesian DS algorithms, both with a stopping probability threshold, Pth = 0.9.
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Accuracy, A, vs. detectability index, d, for the Bayesian static stopping (SS) and dynamic stopping (DS) algorithms for a 9 × 8 row-column paradigm. P300 spelling runs were simulated assuming normally distributed classifier scores (normrnd() in MATLAB®) specified according to the detectability index, and with sequence limit, s, and data collection limit, tmax = s × (9 + 8) flashes, if applicable. (a) Comparison of the accuracy obtained analytically, Assa (Algorithm 1), to that determined via simulations, Asss, for the Bayesian SS algorithm. (b) Comparison of Assa to that determined via simulations for the truncated, Atdss, and untruncated, Audss, Bayesian DS algorithms, both with a stopping probability threshold, Pth = 0.9.

Journal: Journal of neural engineering

Article Title: Using the Detectability Index to Predict P300 Speller Performance

doi: 10.1088/1741-2560/13/6/066007

Figure Lengend Snippet: Accuracy, A, vs. detectability index, d, for the Bayesian static stopping (SS) and dynamic stopping (DS) algorithms for a 9 × 8 row-column paradigm. P300 spelling runs were simulated assuming normally distributed classifier scores (normrnd() in MATLAB®) specified according to the detectability index, and with sequence limit, s, and data collection limit, tmax = s × (9 + 8) flashes, if applicable. (a) Comparison of the accuracy obtained analytically, Assa (Algorithm 1), to that determined via simulations, Asss, for the Bayesian SS algorithm. (b) Comparison of Assa to that determined via simulations for the truncated, Atdss, and untruncated, Audss, Bayesian DS algorithms, both with a stopping probability threshold, Pth = 0.9.

Article Snippet: The predicted accuracy, A pr , and expected stopping time, EST pr , were obtained from simulations assuming normally distributed classifier scores (normrnd() in MATLAB ® ), specified according to the detectability index.

Techniques: Sequencing, Comparison

Expected stopping time, EST, vs. detectability index, d, for the Bayesian dynamic stopping (DS) algorithm with a stopping probability threshold, Pth = 0.9, for a 9 × 8 row-column paradigm. P300 spelling runs were simulated assuming normally distributed classifier scores (normrnd() in MATLAB) specified according to the detectability index, and with sequence limit, s, and data collection limit, tmax = s × (9+8) flashes, if applicable. ESTasa = asymptotic lower bound for untruncated Bayesian DS determined analytically (Algorithm 2); ESTudss = untruncated Bayesian DS determined via simulations; and ESTtdss = truncated Bayesian DS determined via simulations, with data collection limit, tmax.

Journal: Journal of neural engineering

Article Title: Using the Detectability Index to Predict P300 Speller Performance

doi: 10.1088/1741-2560/13/6/066007

Figure Lengend Snippet: Expected stopping time, EST, vs. detectability index, d, for the Bayesian dynamic stopping (DS) algorithm with a stopping probability threshold, Pth = 0.9, for a 9 × 8 row-column paradigm. P300 spelling runs were simulated assuming normally distributed classifier scores (normrnd() in MATLAB) specified according to the detectability index, and with sequence limit, s, and data collection limit, tmax = s × (9+8) flashes, if applicable. ESTasa = asymptotic lower bound for untruncated Bayesian DS determined analytically (Algorithm 2); ESTudss = untruncated Bayesian DS determined via simulations; and ESTtdss = truncated Bayesian DS determined via simulations, with data collection limit, tmax.

Article Snippet: The predicted accuracy, A pr , and expected stopping time, EST pr , were obtained from simulations assuming normally distributed classifier scores (normrnd() in MATLAB ® ), specified according to the detectability index.

Techniques: Sequencing

Accuracy, A, vs. detectability index, d, for the Bayesian static stopping (SS) algorithm, using row-column (RCP) and checkerboard (CBP) paradigms, both implement with a 9×8 grid. P300 spelling runs were simulated assuming normally distributed classifier scores (normrnd() in MATLAB®) specified according to the detectability index, and with sequence limit, s, and data collection limit, tmax = s × 17 flashes for the RCP and tmax = s × 24 flashes for the CBP. Assa = projected accuracy determined analytically (Algorithm 3); and Asss = projected accuracy determined via simulations.

Journal: Journal of neural engineering

Article Title: Using the Detectability Index to Predict P300 Speller Performance

doi: 10.1088/1741-2560/13/6/066007

Figure Lengend Snippet: Accuracy, A, vs. detectability index, d, for the Bayesian static stopping (SS) algorithm, using row-column (RCP) and checkerboard (CBP) paradigms, both implement with a 9×8 grid. P300 spelling runs were simulated assuming normally distributed classifier scores (normrnd() in MATLAB®) specified according to the detectability index, and with sequence limit, s, and data collection limit, tmax = s × 17 flashes for the RCP and tmax = s × 24 flashes for the CBP. Assa = projected accuracy determined analytically (Algorithm 3); and Asss = projected accuracy determined via simulations.

Article Snippet: The predicted accuracy, A pr , and expected stopping time, EST pr , were obtained from simulations assuming normally distributed classifier scores (normrnd() in MATLAB ® ), specified according to the detectability index.

Techniques: Sequencing

Performance vs. detectability index, d, obtained from simulating Bayesian dynamic stopping using participant data, with a 9 × 8 row-column paradigm, probability threshold, Pth = 0.9 and sequence limit, s. For each participant, the classifier score pdfs for the Bayesian probability update process were developed via kernel density estimation using the training data. P300 spelling runs were simulated with bootstrapped classifier scores obtained from the test run. The predicted performances, accuracy, Apr and expected stopping time, ESTpr, were obtained from another set of simulations assuming normally distributed classifier scores (normrnd() in MATLAB®), specified according to the detectability index. (a) Comparison of the observed performances obtained from the simulations using participant test data, Aobs and ESTobs, to that predicted by d of the training data. (b) Comparison of the observed performances to that predicted by d of the test data.

Journal: Journal of neural engineering

Article Title: Using the Detectability Index to Predict P300 Speller Performance

doi: 10.1088/1741-2560/13/6/066007

Figure Lengend Snippet: Performance vs. detectability index, d, obtained from simulating Bayesian dynamic stopping using participant data, with a 9 × 8 row-column paradigm, probability threshold, Pth = 0.9 and sequence limit, s. For each participant, the classifier score pdfs for the Bayesian probability update process were developed via kernel density estimation using the training data. P300 spelling runs were simulated with bootstrapped classifier scores obtained from the test run. The predicted performances, accuracy, Apr and expected stopping time, ESTpr, were obtained from another set of simulations assuming normally distributed classifier scores (normrnd() in MATLAB®), specified according to the detectability index. (a) Comparison of the observed performances obtained from the simulations using participant test data, Aobs and ESTobs, to that predicted by d of the training data. (b) Comparison of the observed performances to that predicted by d of the test data.

Article Snippet: The predicted accuracy, A pr , and expected stopping time, EST pr , were obtained from simulations assuming normally distributed classifier scores (normrnd() in MATLAB ® ), specified according to the detectability index.

Techniques: Sequencing, Comparison

Performance vs. detectability index, d, obtained from online studies with the Bayesian dynamic stopping, using a 9 × 8 row-column paradigm, a probability threshold, Pth = 0.9 and a sequence limit of 10. The predicted accuracy, Apr, and expected stopping time, ESTpr, were obtained from simulations assuming normally distributed classifier scores (normrnd() in MATLAB®), specified according to the detectability index. The observed performances, Aobs and ESTobs, are the reported results from Throckmorton et al. (T2013) [18] and Mainsah et al. (M2014) [19]. The left plot compares Apr and Aobs. The right plot compares ESTpr and ESTobs.

Journal: Journal of neural engineering

Article Title: Using the Detectability Index to Predict P300 Speller Performance

doi: 10.1088/1741-2560/13/6/066007

Figure Lengend Snippet: Performance vs. detectability index, d, obtained from online studies with the Bayesian dynamic stopping, using a 9 × 8 row-column paradigm, a probability threshold, Pth = 0.9 and a sequence limit of 10. The predicted accuracy, Apr, and expected stopping time, ESTpr, were obtained from simulations assuming normally distributed classifier scores (normrnd() in MATLAB®), specified according to the detectability index. The observed performances, Aobs and ESTobs, are the reported results from Throckmorton et al. (T2013) [18] and Mainsah et al. (M2014) [19]. The left plot compares Apr and Aobs. The right plot compares ESTpr and ESTobs.

Article Snippet: The predicted accuracy, A pr , and expected stopping time, EST pr , were obtained from simulations assuming normally distributed classifier scores (normrnd() in MATLAB ® ), specified according to the detectability index.

Techniques: Sequencing

Performance vs. detectability index, d, obtained from online studies with the Bayesian dynamic stopping, using a 6 × 6 checkerboard paradigm, a probability threshold, Pth = 0.9 and a sequence limit of 7. The predicted accuracy, Apr, and expected stopping time, ESTpr, were obtained simulations assuming normally distributed classifier scores (normrnd() in MATLAB®), specified according to the detectability index. The observed performances, Aobs and ESTobs, are the reported results from Mainsah et al. (M2015) [7]. The left plot compares Apr and Aobs. The right plot compares ESTpr and ESTobs.

Journal: Journal of neural engineering

Article Title: Using the Detectability Index to Predict P300 Speller Performance

doi: 10.1088/1741-2560/13/6/066007

Figure Lengend Snippet: Performance vs. detectability index, d, obtained from online studies with the Bayesian dynamic stopping, using a 6 × 6 checkerboard paradigm, a probability threshold, Pth = 0.9 and a sequence limit of 7. The predicted accuracy, Apr, and expected stopping time, ESTpr, were obtained simulations assuming normally distributed classifier scores (normrnd() in MATLAB®), specified according to the detectability index. The observed performances, Aobs and ESTobs, are the reported results from Mainsah et al. (M2015) [7]. The left plot compares Apr and Aobs. The right plot compares ESTpr and ESTobs.

Article Snippet: The predicted accuracy, A pr , and expected stopping time, EST pr , were obtained from simulations assuming normally distributed classifier scores (normrnd() in MATLAB ® ), specified according to the detectability index.

Techniques: Sequencing