Functional data analysis: An introduction and recent developments

J Gertheiss, D Rügamer, BXW Liew… - Biometrical …, 2024 - Wiley Online Library
Functional data analysis (FDA) is a statistical framework that allows for the analysis of
curves, images, or functions on higher dimensional domains. The goals of FDA, such as …

Grouped variable importance with random forests and application to multiple functional data analysis

B Gregorutti, B Michel, P Saint-Pierre - Computational Statistics & Data …, 2015 - Elsevier
The selection of grouped variables using the random forest algorithm is considered. First a
new importance measure adapted for groups of variables is proposed. Theoretical insights …

fdANOVA: an R software package for analysis of variance for univariate and multivariate functional data

T Górecki, Ł Smaga - Computational Statistics, 2019 - Springer
Functional data, ie, observations represented by curves or functions, frequently arise in
various fields. The theory and practice of statistical methods for such data is referred to as …

A statistical method for estimating predictable differences between daily traffic flow profiles

F Crawford, DP Watling, RD Connors - Transportation Research Part B …, 2017 - Elsevier
It is well known that traffic flows in road networks may vary not only within the day but also
between days. Existing models including day-to-day variability usually represent all …

A new test for functional one-way ANOVA with applications to ischemic heart screening

JT Zhang, MY Cheng, HT Wu, B Zhou - Computational Statistics & Data …, 2019 - Elsevier
Motivated by an ischemic heart screening problem, a new global test for one-way ANOVA in
functional data analysis is studied. The test statistic is taken as the maximum of the pointwise …

Functional ANOVA approaches for detecting changes in air pollution during the COVID-19 pandemic

C Acal, AM Aguilera, A Sarra, A Evangelista… - … Research and Risk …, 2022 - Springer
Faced with novel coronavirus outbreak, the most hard-hit countries adopted a lockdown
strategy to contrast the spread of virus. Many studies have already documented that the …

A one-way ANOVA test for functional data with graphical interpretation

T Mrkvicka, M Myllymaki, M Jilek, U Hahn - arXiv preprint arXiv …, 2016 - arxiv.org
A new functional ANOVA test, with a graphical interpretation of the result, is presented. The
test is an extension of the global envelope test introduced by Myllymaki et al.(2017, Global …

Multivariate analysis of variance for functional data

T Górecki, Ł Smaga - Journal of Applied Statistics, 2017 - Taylor & Francis
Functional data are being observed frequently in many scientific fields, and therefore most of
the standard statistical methods are being adapted for functional data. The multivariate …

Basis expansion approaches for functional analysis of variance with repeated measures

C Acal, AM Aguilera - Advances in Data Analysis and Classification, 2023 - Springer
The methodological contribution in this paper is motivated by biomechanical studies where
data characterizing human movement are waveform curves representing joint measures …

Augmented functional analysis of variance (A-fANOVA): theory and application to google trends for detecting differences in abortion drugs queries

F Maturo, A Porreca - Big Data Research, 2022 - Elsevier
Abstract The World Wide Web (WWW) has become a popular and readily accessible big
data source in recent decades. The information in the WWW is offered in many different …