Heihachiro Hara

Multiple Comparisons for a Psychophysical Test in Bootstrap Logistic Regression

We propose an algorithm of multiple comparisons with a control for a psychophysical test. Our algorithm is based on the step-down procedure and is applicable to the bootstrap test in logistic regression. We use logistic regression combined with guessing rate and log-likelihood ratio test statistics of multiple samples in order to test hypotheses by using non-parametric bootstrap resampling. We apply our algorithm to visual acuity measurement, and show that bootstrap resampling can be used to resolve problems with multiple comparisons especially when the numbers of observations among samples are not identical.

Finite element approximations forΔu −qu = f on a Riemann surface

AbstractWe concern ourselves with the finite element approximations of the partial differential equation: ∂2u/∂x2 + ∂2u/∂y2 -qu =f (z =x +iy) on a compact bordered Riemann surface

Repeatability of visual acuity testing using a psychometric function

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Determination of the modulus of quadrilaterals by finite element methods

. It is characteristic of our method that we adopt ordinary triangular meshes and linear elements on a subregion of every fixed parameter disk, our triangulation embeds

Psychophysical Threshold Estimates in Logistic Regression Using the Bootstrap Resampling

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The Parametric and Non-parametric Bootstrap Resamplings for the Visual Acuity Measurement

exactly even in the case of curvilinear boundary arcs, and our approximating functions ofu express singular property exactly near inner and corner singularities. We obtain the error estimates for finite element approximations and also apply our results to numerical calculation of some boundary value problems.