Bootstrap tests in correspondence analysis

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

A bootstrap test is developed for testing models specified by Goodman in 1985 and 1986 for the correspondence analysis of two-way contingency tables. It enables testing goodness-of-fit in relation with the usual matrix decomposition method. An approximate table of critical values for the proposed test statistic is presented. Bootstrap confidence interval construction is also included. The behaviour of the test statistic and the confidence intervals is studied using Monte Carlo simulation.

Original languageEnglish
Pages (from-to)107-117
Number of pages11
JournalApplied Stochastic Models and Data Analysis
Volume12
Issue number2
Publication statusPublished - Jun 1996

Fingerprint

Bootstrap Test
Correspondence Analysis
Test Statistic
Statistics
Bootstrap Confidence Intervals
Matrix Decomposition
Testing
Contingency Table
Matrix Method
Goodness of fit
Decomposition Method
Confidence interval
Critical value
Table
Monte Carlo Simulation
Decomposition
Correspondence analysis
Test statistic
Bootstrap test
Model

Keywords

  • Bootstrap confidence intervals
  • Bootstrap test
  • Canonical analysis
  • Correspondence analysis
  • Goodness-of-fit test

ASJC Scopus subject areas

  • Management of Technology and Innovation
  • Modelling and Simulation

Cite this

Bootstrap tests in correspondence analysis. / Reiczigel, J.

In: Applied Stochastic Models and Data Analysis, Vol. 12, No. 2, 06.1996, p. 107-117.

Research output: Contribution to journalArticle

@article{032d427b4d2549958e8042c16417c65e,
title = "Bootstrap tests in correspondence analysis",
abstract = "A bootstrap test is developed for testing models specified by Goodman in 1985 and 1986 for the correspondence analysis of two-way contingency tables. It enables testing goodness-of-fit in relation with the usual matrix decomposition method. An approximate table of critical values for the proposed test statistic is presented. Bootstrap confidence interval construction is also included. The behaviour of the test statistic and the confidence intervals is studied using Monte Carlo simulation.",
keywords = "Bootstrap confidence intervals, Bootstrap test, Canonical analysis, Correspondence analysis, Goodness-of-fit test",
author = "J. Reiczigel",
year = "1996",
month = "6",
language = "English",
volume = "12",
pages = "107--117",
journal = "Applied Stochastic Models in Business and Industry",
issn = "1524-1904",
publisher = "John Wiley and Sons Ltd",
number = "2",

}

TY - JOUR

T1 - Bootstrap tests in correspondence analysis

AU - Reiczigel, J.

PY - 1996/6

Y1 - 1996/6

N2 - A bootstrap test is developed for testing models specified by Goodman in 1985 and 1986 for the correspondence analysis of two-way contingency tables. It enables testing goodness-of-fit in relation with the usual matrix decomposition method. An approximate table of critical values for the proposed test statistic is presented. Bootstrap confidence interval construction is also included. The behaviour of the test statistic and the confidence intervals is studied using Monte Carlo simulation.

AB - A bootstrap test is developed for testing models specified by Goodman in 1985 and 1986 for the correspondence analysis of two-way contingency tables. It enables testing goodness-of-fit in relation with the usual matrix decomposition method. An approximate table of critical values for the proposed test statistic is presented. Bootstrap confidence interval construction is also included. The behaviour of the test statistic and the confidence intervals is studied using Monte Carlo simulation.

KW - Bootstrap confidence intervals

KW - Bootstrap test

KW - Canonical analysis

KW - Correspondence analysis

KW - Goodness-of-fit test

UR - http://www.scopus.com/inward/record.url?scp=0030169287&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0030169287&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0030169287

VL - 12

SP - 107

EP - 117

JO - Applied Stochastic Models in Business and Industry

JF - Applied Stochastic Models in Business and Industry

SN - 1524-1904

IS - 2

ER -