Nonparametric statistical methods

Wilco Emons; Klaas Sijtsma

doi:10.1016/B978-0-12-818630-5.10073-9

Nonparametric statistical methods

Wilco Emons, Klaas Sijtsma

Research output: Chapter in Book/Report/Conference proceeding › Entry for encyclopedia/dictionary › Scientific

1 Citation (Scopus)

Abstract

Nonparametric methods are appropriate when certain assumptions about distributions that common parametric methods make are questionable. In this entry, we review nonparametric statistical tests based on exact or simulated sampling distributions. We also discuss methods for nonparametric data exploration and nonparametric regression and we explain computer-based methods for estimating standard errors and confidence intervals and regression functions. The methods are illustrated using Pisa data from 2019.

Original language	English
Title of host publication	International encyclopedia of education
Subtitle of host publication	Fourth Edition
Editors	R. Tierney, F. Rizvi, K. Ercikan
Publisher	Elsevier
Pages	657-669
Edition	4th
ISBN (Print)	9780128186299
DOIs	https://doi.org/10.1016/B978-0-12-818630-5.10073-9
Publication status	Published - 2023

Keywords

Bootstrap tests
Distribution-free tests
Exact tests
Kernel smoothing
Mann-Whitney U test
Nonparametric regression
Nonparametric statistics
Spline regression
Wilcoxon rank-sum test

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10.1016/B978-0-12-818630-5.10073-9

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abstract = "Nonparametric methods are appropriate when certain assumptions about distributions that common parametric methods make are questionable. In this entry, we review nonparametric statistical tests based on exact or simulated sampling distributions. We also discuss methods for nonparametric data exploration and nonparametric regression and we explain computer-based methods for estimating standard errors and confidence intervals and regression functions. The methods are illustrated using Pisa data from 2019.",

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AB - Nonparametric methods are appropriate when certain assumptions about distributions that common parametric methods make are questionable. In this entry, we review nonparametric statistical tests based on exact or simulated sampling distributions. We also discuss methods for nonparametric data exploration and nonparametric regression and we explain computer-based methods for estimating standard errors and confidence intervals and regression functions. The methods are illustrated using Pisa data from 2019.

KW - Bootstrap tests

KW - Distribution-free tests

KW - Exact tests

KW - Kernel smoothing

KW - Mann-Whitney U test

KW - Nonparametric regression

KW - Nonparametric statistics

KW - Spline regression

KW - Wilcoxon rank-sum test

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M3 - Entry for encyclopedia/dictionary

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EP - 669

BT - International encyclopedia of education

A2 - Tierney, R.

A2 - Rizvi, F.

A2 - Ercikan, K.

PB - Elsevier

ER -

Nonparametric statistical methods

Abstract

Keywords

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