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cumulative gaussian function  (MathWorks Inc)


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    MathWorks Inc cumulative gaussian function
    Experiment data. ( A ) Group mean ( thin dotted lines ) of open-loop ( left ) and closed-loop ( right ) pursuit direction error ( D E ) and ±1 SE ( shaded areas ) as a function of the target-relative moving direction of the first previous (i.e., 1-back) trial ( D R 1 ). “CCW” and “CW” on the x-axis indicate that the target motion direction in the previous trial was counterclockwise (CCW) or clockwise (CW) to that in the current trial. “CCW” and “CW” on the y-axis indicate that pursuit direction was CCW or CW to the target motion direction in the current trial. Thick solid lines indicate the fitted DoG curves. The amplitude of the DoG curve ( a ) indicates the size of serial dependence. ( B ) The size of serial dependence ( a ) in the open-loop response for the previous one to five trials (i.e., 1-back to 5-back). Error bars represent bootstrapped 95% confidence intervals. ( C ) Histograms and <t>Gaussian</t> fits of the overall pursuit direction noise in the open-loop response for children ( green bars and lines ) and adults ( gray bars and lines ). * P < 0.05. ** P < 0.01.
    Cumulative Gaussian 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
    https://www.bioz.com/product/cumulative+gaussian+function/pmc11684126-92-9-21?v=MathWorks+Inc
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    cumulative gaussian function - by Bioz Stars, 2026-08
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    1) Product Images from "Serial Dependence in Smooth Pursuit Eye Movements of Preadolescent Children and Adults"

    Article Title: Serial Dependence in Smooth Pursuit Eye Movements of Preadolescent Children and Adults

    Journal: Investigative Ophthalmology & Visual Science

    doi: 10.1167/iovs.65.14.37

    Experiment data. ( A ) Group mean ( thin dotted lines ) of open-loop ( left ) and closed-loop ( right ) pursuit direction error ( D E ) and ±1 SE ( shaded areas ) as a function of the target-relative moving direction of the first previous (i.e., 1-back) trial ( D R 1 ). “CCW” and “CW” on the x-axis indicate that the target motion direction in the previous trial was counterclockwise (CCW) or clockwise (CW) to that in the current trial. “CCW” and “CW” on the y-axis indicate that pursuit direction was CCW or CW to the target motion direction in the current trial. Thick solid lines indicate the fitted DoG curves. The amplitude of the DoG curve ( a ) indicates the size of serial dependence. ( B ) The size of serial dependence ( a ) in the open-loop response for the previous one to five trials (i.e., 1-back to 5-back). Error bars represent bootstrapped 95% confidence intervals. ( C ) Histograms and Gaussian fits of the overall pursuit direction noise in the open-loop response for children ( green bars and lines ) and adults ( gray bars and lines ). * P < 0.05. ** P < 0.01.
    Figure Legend Snippet: Experiment data. ( A ) Group mean ( thin dotted lines ) of open-loop ( left ) and closed-loop ( right ) pursuit direction error ( D E ) and ±1 SE ( shaded areas ) as a function of the target-relative moving direction of the first previous (i.e., 1-back) trial ( D R 1 ). “CCW” and “CW” on the x-axis indicate that the target motion direction in the previous trial was counterclockwise (CCW) or clockwise (CW) to that in the current trial. “CCW” and “CW” on the y-axis indicate that pursuit direction was CCW or CW to the target motion direction in the current trial. Thick solid lines indicate the fitted DoG curves. The amplitude of the DoG curve ( a ) indicates the size of serial dependence. ( B ) The size of serial dependence ( a ) in the open-loop response for the previous one to five trials (i.e., 1-back to 5-back). Error bars represent bootstrapped 95% confidence intervals. ( C ) Histograms and Gaussian fits of the overall pursuit direction noise in the open-loop response for children ( green bars and lines ) and adults ( gray bars and lines ). * P < 0.05. ** P < 0.01.

    Techniques Used:

    The percentage of counterclockwise binary pursuit responses in each participant group as a function of the deviation of target motion direction from each data set’s canonical direction for the four cardinal (0°, 90°, 180°, and 270°; upper ) and the four oblique direction data sets (45°, 135°, 225°, and 315°; lower ). Data are fitted with cumulative Gaussian functions ( solid and dashed lines ).
    Figure Legend Snippet: The percentage of counterclockwise binary pursuit responses in each participant group as a function of the deviation of target motion direction from each data set’s canonical direction for the four cardinal (0°, 90°, 180°, and 270°; upper ) and the four oblique direction data sets (45°, 135°, 225°, and 315°; lower ). Data are fitted with cumulative Gaussian functions ( solid and dashed lines ).

    Techniques Used:

    Polar plots of ( A ) the precision (standard deviation of the best-fitting Gaussian function) and ( B ) the size of serial dependence ( a ) in pursuit direction for the four cardinal (0°, 90°, 180°, and 270°) and the four oblique (45°, 135°, 225°, and 315°) direction data sets. The dashed lines in ( B ) represent a values across the 360° circular angle space, as plotted in A.
    Figure Legend Snippet: Polar plots of ( A ) the precision (standard deviation of the best-fitting Gaussian function) and ( B ) the size of serial dependence ( a ) in pursuit direction for the four cardinal (0°, 90°, 180°, and 270°) and the four oblique (45°, 135°, 225°, and 315°) direction data sets. The dashed lines in ( B ) represent a values across the 360° circular angle space, as plotted in A.

    Techniques Used: Standard Deviation



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    Experiment data. ( A ) Group mean ( thin dotted lines ) of open-loop ( left ) and closed-loop ( right ) pursuit direction error ( D E ) and ±1 SE ( shaded areas ) as a function of the target-relative moving direction of the first previous (i.e., 1-back) trial ( D R 1 ). “CCW” and “CW” on the x-axis indicate that the target motion direction in the previous trial was counterclockwise (CCW) or clockwise (CW) to that in the current trial. “CCW” and “CW” on the y-axis indicate that pursuit direction was CCW or CW to the target motion direction in the current trial. Thick solid lines indicate the fitted DoG curves. The amplitude of the DoG curve ( a ) indicates the size of serial dependence. ( B ) The size of serial dependence ( a ) in the open-loop response for the previous one to five trials (i.e., 1-back to 5-back). Error bars represent bootstrapped 95% confidence intervals. ( C ) Histograms and <t>Gaussian</t> fits of the overall pursuit direction noise in the open-loop response for children ( green bars and lines ) and adults ( gray bars and lines ). * P < 0.05. ** P < 0.01.
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    Image Search Results


    Experiment data. ( A ) Group mean ( thin dotted lines ) of open-loop ( left ) and closed-loop ( right ) pursuit direction error ( D E ) and ±1 SE ( shaded areas ) as a function of the target-relative moving direction of the first previous (i.e., 1-back) trial ( D R 1 ). “CCW” and “CW” on the x-axis indicate that the target motion direction in the previous trial was counterclockwise (CCW) or clockwise (CW) to that in the current trial. “CCW” and “CW” on the y-axis indicate that pursuit direction was CCW or CW to the target motion direction in the current trial. Thick solid lines indicate the fitted DoG curves. The amplitude of the DoG curve ( a ) indicates the size of serial dependence. ( B ) The size of serial dependence ( a ) in the open-loop response for the previous one to five trials (i.e., 1-back to 5-back). Error bars represent bootstrapped 95% confidence intervals. ( C ) Histograms and Gaussian fits of the overall pursuit direction noise in the open-loop response for children ( green bars and lines ) and adults ( gray bars and lines ). * P < 0.05. ** P < 0.01.

    Journal: Investigative Ophthalmology & Visual Science

    Article Title: Serial Dependence in Smooth Pursuit Eye Movements of Preadolescent Children and Adults

    doi: 10.1167/iovs.65.14.37

    Figure Lengend Snippet: Experiment data. ( A ) Group mean ( thin dotted lines ) of open-loop ( left ) and closed-loop ( right ) pursuit direction error ( D E ) and ±1 SE ( shaded areas ) as a function of the target-relative moving direction of the first previous (i.e., 1-back) trial ( D R 1 ). “CCW” and “CW” on the x-axis indicate that the target motion direction in the previous trial was counterclockwise (CCW) or clockwise (CW) to that in the current trial. “CCW” and “CW” on the y-axis indicate that pursuit direction was CCW or CW to the target motion direction in the current trial. Thick solid lines indicate the fitted DoG curves. The amplitude of the DoG curve ( a ) indicates the size of serial dependence. ( B ) The size of serial dependence ( a ) in the open-loop response for the previous one to five trials (i.e., 1-back to 5-back). Error bars represent bootstrapped 95% confidence intervals. ( C ) Histograms and Gaussian fits of the overall pursuit direction noise in the open-loop response for children ( green bars and lines ) and adults ( gray bars and lines ). * P < 0.05. ** P < 0.01.

    Article Snippet: We then fitted the percentage data with a cumulative Gaussian function using the maximum likelihood method of the Palamedes Toolbox in MATLAB to obtain an oculometric curve.

    Techniques:

    The percentage of counterclockwise binary pursuit responses in each participant group as a function of the deviation of target motion direction from each data set’s canonical direction for the four cardinal (0°, 90°, 180°, and 270°; upper ) and the four oblique direction data sets (45°, 135°, 225°, and 315°; lower ). Data are fitted with cumulative Gaussian functions ( solid and dashed lines ).

    Journal: Investigative Ophthalmology & Visual Science

    Article Title: Serial Dependence in Smooth Pursuit Eye Movements of Preadolescent Children and Adults

    doi: 10.1167/iovs.65.14.37

    Figure Lengend Snippet: The percentage of counterclockwise binary pursuit responses in each participant group as a function of the deviation of target motion direction from each data set’s canonical direction for the four cardinal (0°, 90°, 180°, and 270°; upper ) and the four oblique direction data sets (45°, 135°, 225°, and 315°; lower ). Data are fitted with cumulative Gaussian functions ( solid and dashed lines ).

    Article Snippet: We then fitted the percentage data with a cumulative Gaussian function using the maximum likelihood method of the Palamedes Toolbox in MATLAB to obtain an oculometric curve.

    Techniques:

    Polar plots of ( A ) the precision (standard deviation of the best-fitting Gaussian function) and ( B ) the size of serial dependence ( a ) in pursuit direction for the four cardinal (0°, 90°, 180°, and 270°) and the four oblique (45°, 135°, 225°, and 315°) direction data sets. The dashed lines in ( B ) represent a values across the 360° circular angle space, as plotted in A.

    Journal: Investigative Ophthalmology & Visual Science

    Article Title: Serial Dependence in Smooth Pursuit Eye Movements of Preadolescent Children and Adults

    doi: 10.1167/iovs.65.14.37

    Figure Lengend Snippet: Polar plots of ( A ) the precision (standard deviation of the best-fitting Gaussian function) and ( B ) the size of serial dependence ( a ) in pursuit direction for the four cardinal (0°, 90°, 180°, and 270°) and the four oblique (45°, 135°, 225°, and 315°) direction data sets. The dashed lines in ( B ) represent a values across the 360° circular angle space, as plotted in A.

    Article Snippet: We then fitted the percentage data with a cumulative Gaussian function using the maximum likelihood method of the Palamedes Toolbox in MATLAB to obtain an oculometric curve.

    Techniques: Standard Deviation