Analysis of variance for functional data

J Zhang - Monographs on statistics and applied probability, 2014 - api.taylorfrancis.com
Functional data analysis has been a popular statistical research topic for the past three
decades. Functional data are often obtained by observing a number of subjects over time …

Impact of text contrast polarity on the retinal activity in myopes and emmetropes using modified pattern ERG

S Wagner, T Strasser - Scientific Reports, 2023 - nature.com
Environmental factors favoring myopia development are still being studied and there is
accumulating evidence for a significant role of nearwork. Recently, reading standard black …

Sign, Wilcoxon and Mann-Whitney tests for functional data: An approach based on random projections

R Meléndez, R Giraldo, V Leiva - Mathematics, 2020 - mdpi.com
Sign, Wilcoxon and Mann-Whitney tests are nonparametric methods in one or two-sample
problems. The nonparametric methods are alternatives used for testing hypothesis when the …

Testing relevant hypotheses in functional time series via self-normalization

H Dette, K Kokot, S Volgushev - Journal of the Royal Statistical …, 2020 - academic.oup.com
We develop methodology for testing relevant hypotheses about functional time series in a
tuning-free way. Instead of testing for exact equality, eg for the equality of two mean …

Bootstrap-based testing of equality of mean functions or equality of covariance operators for functional data

E Paparoditis, T Sapatinas - Biometrika, 2016 - academic.oup.com
We investigate the properties of a simple bootstrap method for testing the equality of mean
functions or of covariance operators in functional data. Theoretical size and power results …

A Wilcoxon-Mann-Whitney spatial scan statistic for functional data

Z Smida, L Cucala, A Gannoun, G Durif - Computational Statistics & Data …, 2022 - Elsevier
A nonparametric scan method for functional data indexed in space is introduced. The
associated scan statistic is derived from the Wilcoxon-Mann-Whitney test statistic defined for …

Two-sample tests for multivariate functional data with applications

Z Qiu, J Chen, JT Zhang - Computational Statistics & Data Analysis, 2021 - Elsevier
Multivariate functional data are frequently obtained in many scientific or industrial areas
where several functions for a statistical unit are observed over time. It is often interesting to …

A Wilcoxon–Mann–Whitney-type test for infinite-dimensional data

A Chakraborty, P Chaudhuri - Biometrika, 2015 - academic.oup.com
Abstract The Wilcoxon–Mann–Whitney test is a robust competitor of the test in the univariate
setting. For finite-dimensional multivariate non-Gaussian data, several extensions of the …

Significance tests for functional data with complex dependence structure

AM Staicu, SN Lahiri, RJ Carroll - Journal of statistical planning and …, 2015 - Elsevier
We propose an L 2-norm based global testing procedure for the null hypothesis that multiple
group mean functions are equal, for functional data with complex dependence structure …

Intrinsic sliced wasserstein distances for comparing collections of probability distributions on manifolds and graphs

RM Rustamov, S Majumdar - International Conference on …, 2023 - proceedings.mlr.press
Collections of probability distributions arise in a variety of applications ranging from user
activity pattern analysis to brain connectomics. In practice these distributions can be defined …