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Statistical Analysis of Percentages Based on Unequal Numbers, with Examples from Entomological Research

Published online by Cambridge University Press:  31 May 2012

C. Reimer
C. Reimer
Affiliation:
Statistical Laboratory, Science Service, Ottawa, Ontario
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Extract

Entomologists, like research workers in other fields, frequently wish to determine whether the percentage of individuals having a certain attribute (e.g., % eggs parasitized) is associated with some other variable, which may be either qualitative or quantitative. The numbers of individuals observed with and without this attribute are recorded for each category of the other variable. A test is made of the hypothesis that the true percentage or proportion of individuals with this attribute is the same in each category. One of the methods commonly used for this purpose is the x2 test of independence. If rhe calculated x2 exceeds a specified level of significance, the hrpochesis is rejected; otherwise it is accepted. The test is described in most books on statistical methods, e.g., Goulden (1952).

Type
Articles
Information
The Canadian Entomologist , Volume 91 , Issue 2 , February 1959 , pp. 88 - 92
Copyright
Copyright © Entomological Society of Canada 1959

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References

Cochran, W. G. 1943. Analysis of variance for percentages based on unequal numbers. J. Amer. Stat. Assn. 38: 287–301.CrossRefGoogle Scholar
Dyke, G. V., and Patterson, H. D.. 1952. Analysis of factorial arrangements when the data are proportions. Biometrics 8: 1–12.CrossRefGoogle Scholar
Goulden, C. H. 1952. Methods of statistical analysis. 2nd ed.J. Wiley & Sons, Inc., N.Y.Google Scholar
Peterson, L. O. T. 1956. Control of shelterbelt insects; pine needle scale, Phenacaspis pinifoliae (Fitch). Unpublished data. Forest Nursery Station, Indian Head, Sask.Google Scholar
Snedecor, G. W. 1956. Statistical methods applied to experiments in agriculture and biology. 5th ed.Iowa State College Press, Ames, Iowa.Google Scholar
Winsor, C. P. 1948. Factorial analysis of a multiple dichotomy. Human Biology 20: 195–204.Google Scholar