An adjusted test for cross-classified cluster sample data

Jeffrey Wilson, William D. Warde

Research output: Contribution to journalArticle

Abstract

A first-order corrected test statistic for analyzing frequency data when the data are obtained from a two-stage sampling scheme is presented in this paper. The data are summarized in a cross-classified table in such a way that the cell values are not necessarily a count. Comparisons are made with the Wald statistic, Pearson statistic, other modified Pearson statistics, and a proposed first-order corrected test for comparing vectors of proportion. The proposed test shows that a convenient approximation to the Wald test statistic is to construct a modification of the Pearson type statistic based on the pre-adjusted table cell values. Simulated data are used to examine the behavior of the first-order statistic under the two-stage sampling scheme.

Original languageEnglish (US)
Pages (from-to)3029-3050
Number of pages22
JournalCommunications in Statistics - Theory and Methods
Volume20
Issue number9
DOIs
StatePublished - Jan 1 1991

Fingerprint

Two-stage Sampling
First-order
Test Statistic
Statistic
Table
Wald Statistic
Wald Test
Cell
Order Statistics
Count
Proportion
Statistics
Approximation

Keywords

  • cluster sampling
  • Pearson
  • ratio estimators
  • statistic

ASJC Scopus subject areas

  • Statistics and Probability

Cite this

An adjusted test for cross-classified cluster sample data. / Wilson, Jeffrey; Warde, William D.

In: Communications in Statistics - Theory and Methods, Vol. 20, No. 9, 01.01.1991, p. 3029-3050.

Research output: Contribution to journalArticle

@article{43125d834c5742cdb37f014ea931257c,
title = "An adjusted test for cross-classified cluster sample data",
abstract = "A first-order corrected test statistic for analyzing frequency data when the data are obtained from a two-stage sampling scheme is presented in this paper. The data are summarized in a cross-classified table in such a way that the cell values are not necessarily a count. Comparisons are made with the Wald statistic, Pearson statistic, other modified Pearson statistics, and a proposed first-order corrected test for comparing vectors of proportion. The proposed test shows that a convenient approximation to the Wald test statistic is to construct a modification of the Pearson type statistic based on the pre-adjusted table cell values. Simulated data are used to examine the behavior of the first-order statistic under the two-stage sampling scheme.",
keywords = "cluster sampling, Pearson, ratio estimators, statistic",
author = "Jeffrey Wilson and Warde, {William D.}",
year = "1991",
month = "1",
day = "1",
doi = "10.1080/03610929108830685",
language = "English (US)",
volume = "20",
pages = "3029--3050",
journal = "Communications in Statistics - Theory and Methods",
issn = "0361-0926",
publisher = "Taylor and Francis Ltd.",
number = "9",

}

TY - JOUR

T1 - An adjusted test for cross-classified cluster sample data

AU - Wilson, Jeffrey

AU - Warde, William D.

PY - 1991/1/1

Y1 - 1991/1/1

N2 - A first-order corrected test statistic for analyzing frequency data when the data are obtained from a two-stage sampling scheme is presented in this paper. The data are summarized in a cross-classified table in such a way that the cell values are not necessarily a count. Comparisons are made with the Wald statistic, Pearson statistic, other modified Pearson statistics, and a proposed first-order corrected test for comparing vectors of proportion. The proposed test shows that a convenient approximation to the Wald test statistic is to construct a modification of the Pearson type statistic based on the pre-adjusted table cell values. Simulated data are used to examine the behavior of the first-order statistic under the two-stage sampling scheme.

AB - A first-order corrected test statistic for analyzing frequency data when the data are obtained from a two-stage sampling scheme is presented in this paper. The data are summarized in a cross-classified table in such a way that the cell values are not necessarily a count. Comparisons are made with the Wald statistic, Pearson statistic, other modified Pearson statistics, and a proposed first-order corrected test for comparing vectors of proportion. The proposed test shows that a convenient approximation to the Wald test statistic is to construct a modification of the Pearson type statistic based on the pre-adjusted table cell values. Simulated data are used to examine the behavior of the first-order statistic under the two-stage sampling scheme.

KW - cluster sampling

KW - Pearson

KW - ratio estimators

KW - statistic

UR - http://www.scopus.com/inward/record.url?scp=84950076297&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84950076297&partnerID=8YFLogxK

U2 - 10.1080/03610929108830685

DO - 10.1080/03610929108830685

M3 - Article

VL - 20

SP - 3029

EP - 3050

JO - Communications in Statistics - Theory and Methods

JF - Communications in Statistics - Theory and Methods

SN - 0361-0926

IS - 9

ER -