Advanced search
Publication Cover
Journal of the American Statistical Association Volume 66, 1971 - Issue 336
Submit an article Journal homepage
112
Views
125
CrossRef citations to date
0
Altmetric
Application

An Investigation of the Restraints with Respect to Sample Size Commonly Imposed on the Use of the Chi-Square Statistic

John T. Roscoe Department of Administration and Foundations of Education, Kansas State University, Manhattan, Kan., 66502, USA
&
Jackson A. Byars Department of Curriculum and Instruction, Kansas State University, Manhattan, Kan., 66502, USA
Pages 755-759 | Published online: 05 Apr 2012

References

  • Bennett , B. M. and Nakamura , E. 1963 . “Tables for Testing Significance in a 2×3 Contingency Table,” . Technometrics , 5 November : 501 – 11 .
  • Cochran , William G. 1952 . “The Chi-Square Test of Goodness of Fit,” . Annals of Mathematical Statistics , 23 September : 315 – 45 .
  • Cochran , William G. 1954 . “Some Methods for Strengthening the Common X2 Tests,” . Biometrics , 10 December : 417 – 51 .
  • Cramér , Harald . 1956 . Mathematical Methods of Statistics , Princeton , N. J. : Princeton University Press .
  • International Business Machines Corporation . 1959 . Random Number Generation and Testing New York Reference Manual C20–8011
  • Lewontin , R. C. and Felsenstein , J. 1965 . “The Robustness of Homogeneity Tests in 2XN Tables,” . Biometrics , 21 March : 19 – 33 .
  • Roscoe , John T. 1969 . Fundamental Research Statistics for the Behavioral Sciences , New York : Holt, Rinehart and Winston, Inc. .
  • Slakter , Malcolm J. 1965 . “A Comparison of the Pearson Chi-Square and Kolmogorov Goodness-of-Fit Tests with Respect to Validity,” . Journal of the American Statistical Association , 60 September : 854 – 58 .
  • Slakter , Malcolm J. 1966 . “Comparative Validity of the Chi-Square and Two Modified Chi-Square Goodness-of-Fit Tests for Small but Equal Expected Frequencies,” . Biometrika , 53 December : 619 – 22 .
  • Tate , Merle W. and Hyer , Leon A. August 1969 . “Significance Values for an Exact Multinomial Test and Accuracy of the Chi-Square Approximation,” , August , U. S. Department of Health, Education, and Welfare, Office of Education Bureau of Research .
  • Vessereau , A. 1958 . “Sur les Conditions d'Application du Criterium x2 de Pearson,” . Bulletin de l'Institut International de Statistique , 36 : 87 – 101 .
  • Wise , M. E. 1963 . “Multinomial Probabilities and the X2 and x2 Distributions,” . Biometrika , 50 June : 145 – 54 .
  • Yarnold , James K. 1970 . “The Minimum Expectation in X2 Goodness-of-Fit Tests and the Accuracy of Approximations for the Null Distribution,” . Journal of the American Statistical Association , 65 : 864 – 86 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.