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Journal of the American Statistical Association Volume 82, 1987 - Issue 398
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Theory and Method

Small-Sample Comparisons of Level and Power for Simple Goodness-of-Fit Statistics under Cluster Sampling

D. Roland Thomas School of Business, Department of Mathematics and Statistics, Carleton University, Ottawa, Ontario, Canada, K1S 5B6
&
J. N. K. Rao School of Business, Department of Mathematics and Statistics, Carleton University, Ottawa, Ontario, Canada, K1S 5B6
Pages 630-636 | Received 01 Feb 1986, Published online: 12 Mar 2012

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Crossref
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Crossref
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Crossref
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Crossref
Kenneth Koehler. 2005. Encyclopedia of Biostatistics. Encyclopedia of Biostatistics.
. 2004. Measurement Errors in Surveys. Measurement Errors in Surveys 687 733 .
Farzad Mostashari, Michel L Bunning, Paul T Kitsutani, Daniel A Singer, Denis Nash, Michael J Cooper, Naomi Katz, Karen A Liljebjelke, Brad J Biggerstaff, Annie D Fine, Marcelle C Layton, Sandra M Mullin, Alison J Johnson, Denise A Martin, Edward B Hayes & Grant L Campbell. (2001) Epidemic West Nile encephalitis, New York, 1999: results of a household-based seroepidemiological survey. The Lancet 358:9278, pages 261-264.
Crossref
Rick L. Williams. (1995) Product-limit survival functions with correlated survival times. Lifetime Data Analysis 1:2, pages 171-186.
Crossref
Malcolm M. Dow. (2016) Saving the Theory: On Chi-Square Tests With Cross-Cultural Survey Data. Cross-Cultural Research 27:3-4, pages 247-276.
Crossref
Gerald K. Arnold. (2016) Book Reviews: Analyzing Complex Survey Data Eun Sul Lee, Ronald N. Forthofer, and Ronald J. Lorimor Beverly Hills, CA: Sage, 1989. vii + 79 pp . Journal of Educational Statistics 17:3, pages 270-273.
Crossref
A.J. Scott, J.N.K. Rao & D.Roland Thomas. (1990) Weighted least-squares and quasilikelihood estimation for categorical data under singular models. Linear Algebra and its Applications 127, pages 427-447.
Crossref

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