A simple multiway ANOVA for functional data
نویسنده
چکیده
We propose a procedure to test complicated ANOVA designs for functional data. The procedure is effective, flexible, easy to compute and does not require a heavy computational effort. It is based on the analysis of randomly chosen onedimensional projections. The paper contains some theoretical results as well as some simulations and the analysis of some real data sets. Functional data include multidimensional data, so the paper contains a comparison between the proposed procedure and some usual MANOVA tests.
منابع مشابه
Multiway frequency analysis for experimental psychologists.
Many research designs in experimental psychology generate data that are fundamentally discrete or categorical in nature, and produce multiway tables of frequencies. Despite an extensive and, more recently, accessible literature on the topic, multiway frequency analysis is rarely used in experimental psychology. A reason may be the form of exposition in the literature, with emphases and concerns...
متن کاملAn introduction to Multiway Methods for Multi-Subject fMRI experiment
Model free exploratory methods available for functional MRI analysis of one subject such as Principal Component Analysis (PCA) and Independent Component Analysis (ICA) are investigated for generalisations when analysing more than one subject. Introducing the subject dimension makes a three-way data: brain, time, subject, and multiway methods are proposed either to optimise the variance (PCA) or...
متن کاملPublishing nutrition research: a review of multivariate techniques--part 2: analysis of variance.
This article is the eighth in a series exploring the importance of research design, statistical analysis, and epidemiology in nutrition and dietetics research, and the second in a series focused on multivariate statistical analytical techniques. The purpose of this review is to examine the statistical technique, analysis of variance (ANOVA), from its simplest to multivariate applications. Many ...
متن کاملLearning from Multiway Data: Simple and Efficient Tensor Regression
Tensor regression has shown to be advantageous in learning tasks with multi-directional relatedness. Given massive multiway data, traditional methods are often too slow to operate on or suffer from memory bottleneck. In this paper, we introduce subsampled tensor projected gradient to solve the problem. Our algorithm is impressively simple and efficient. It is built upon projected gradient metho...
متن کاملMultiway Regularized Generalized Canonical Correlation Analysis
Regularized Generalized Canonical Correlation Analysis (RGCCA) is currently geared for the analysis two-way data matrix. In this paper, multiway RGCCA (MGCCA) extends RGCCA to the multiway data configuration. More specifically, MGCCA aims at studying the complex relationships between a set of three-way data table.
متن کامل