Analysis of variance in nonparametric regression models

DOI10.1006/jmva.2000.1913zbMath0961.62031OpenAlexW2022600836MaRDI QIDQ5929501

Stephan Derbort, Dette, Holger

Publication date: 5 June 2001

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmva.2000.1913

zbMATH Keywords

ANOVAmodel checks

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Nonparametric hypothesis testing (62G10) Asymptotic properties of nonparametric inference (62G20) Analysis of variance and covariance (ANOVA) (62J10)

Related Items (9)

Optimal testing for additivity in multiple nonparametric regression ⋮ OPTIMAL TESTING IN A FIXED-EFFECTS FUNCTIONAL ANALYSIS OF VARIANCE MODEL ⋮ OPTIMAL TESTING IN A FIXED-EFFECTS FUNCTIONAL ANALYSIS OF VARIANCE MODEL ⋮ An ANOVA test for functional data ⋮ Functional analysis of variance for Hilbert-valued multivariate fixed effect models ⋮ Testing in mixed-effects FANOVA models ⋮ VARIANCE ESTIMATION IN NONPARAMETRIC MULTIPLE REGRESSION ⋮ Testing for additivity in nonparametric heteroscedastic regression models ⋮ Testing for additivity in non‐parametric regression

Cites Work

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• Linear smoothers and additive models
• A central limit theorem for generalized quadratic forms
• Additive regression and other nonparametric models
• On the rate of approximation in the central limit theorem for dependent random variables and random vectors
• Multivariate adaptive regression splines
• The use of polynomial splines and their tensor products in multivariate function estimation. (With discussion)
• A unified approach to rank tests for mixed models
• Smoothing spline ANOVA for exponential families, with application to the Wisconsin epidemiological study of diabetic retinopathy. (The 1994 Neyman Memorial Lecture)
• Testing for additivity in nonparametric regression
• Testing for additivity of a regression function
• Asymptotically optimal difference-based estimation of variance in nonparametric regression
• On estimation of noise variance in two-dimensional signal processing
• Residual variance and residual pattern in nonlinear regression
• On the Strong Law of Large Numbers and Related Results for Quasi-Stationary Sequences
• Estimating the Variance In Nonparametric Regression—What is a Reasonable Choice?
• Nonparametric Identification of Nonlinear Time Series: Projections
• NONPARAMETRIC ESTIMATION AND TESTING OF INTERACTION IN ADDITIVE MODELS
• Additivity tests for nonlinear autoregression
• Some Aspects of the Statistical Analysis of "Split Plot" Experiments in Completely Randomized Layouts
• On the Departure from Normality of a Certain Class of Martingales
• Designs for Regression Problems with Correlated Errors III
• The Choice of the Degree of a Polynomial Regression as a Multiple Decision Problem

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