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 …

Comparison of test statistics of nonnormal and unbalanced samples for multivariate analysis of variance in terms of type‐I error rates

C Ateş, Ö Kaymaz, HE Kale… - … methods in medicine, 2019 - Wiley Online Library
In this study, we investigate how Wilks' lambda, Pillai's trace, Hotelling's trace, and Roy's
largest root test statistics can be affected when the normal and homogeneous variance …

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 …

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 …

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 …

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 global test for heteroscedastic one-way FMANOVA with applications

T Zhu, JT Zhang, MY Cheng - Journal of Statistical Planning and Inference, 2024 - Elsevier
Multivariate functional data are prevalent in various fields such as biology, climatology, and
finance. Motivated by the World Health Data applications, in this study, we propose and …

Functional principal component analysis for identifying multivariate patterns and archetypes of growth, and their association with long-term cognitive development

K Han, PZ Hadjipantelis, JL Wang, MS Kramer, S Yang… - PloS one, 2018 - journals.plos.org
For longitudinal studies with multivariate observations, we propose statistical methods to
identify clusters of archetypal subjects by using techniques from functional data analysis and …

Drivers' reactions to real-world forward collision warnings at both macroscopic and microscopic longitudinal levels: A functional approach

D Yang, F Zuo, K Ozbay, J Gao - Accident Analysis & Prevention, 2025 - Elsevier
Understanding drivers' reactions to in-vehicle forward collision warnings (FCWs) is vital for
advancing FCW design and improving road safety. However, past studies often used …

Functional ANOVA for upper extremity fatigue analysis during dynamic order picking

SK Kheiri, Z Vahedi, H Sun, FM Megahed… - IISE Transactions on …, 2023 - Taylor & Francis
OCCUPATIONAL APPLICATIONS Musculoskeletal disorders are prevalent among
warehouse workers who engage in repetitive and dynamic tasks. To prevent such injuries, it …