OJS  Vol.3 No.4 , August 2013
Testing for a Zero Proportion
Abstract: Tests for a proportion that may be zero are described. The setting is an environment in which there can be misclassifications or misdiagnoses, giving the possibility of nonzero counts from false positives even though no real examples may exist. Both frequentist and Bayesian tests and analyses are presented, and examples are given.
Cite this paper: J. Bradley and D. Farnsworth, "Testing for a Zero Proportion," Open Journal of Statistics, Vol. 3 No. 4, 2013, pp. 258-260. doi: 10.4236/ojs.2013.34029.

[1]   R. V. Hogg, J. W. McKean and A. T. Craig, “Introduction to Mathematical Statistics,” 6th Edition, Pearson Prentice Hall, Upper Saddle River, 2005.

[2]   V. K. Rohatgi, “Statistical Inference,” Dover, Mineola, 2003.

[3]   D. C. Hooper, S. Spitsin, R. B. Kean, J. M. Champion, G. M. Dickson, I. Chaudhry and H. Koprowski, “Uric Acid, a Natural Scavenger of Peroxynitrite, in Experimental Allergic Encephalomyelitis and Multiple Sclerosis,” Proceedings of the National Academy of Science, USA, Vol. 95, No. 2, 1998, pp. 675-680. doi:10.1073/pnas.95.2.675

[4]   J. O. Berger, “Statistical Decision Theory and Bayesian Analysis,” 2nd Edition, Springer, New York, 2010.

[5]   K. R. Koch, “Introduction to Bayesian Statistics,” 2nd Edition, Springer, Berlin, 2010.

[6]   H. C. Williams and D. P. Strachan, “Psoriasis and Eczema are not Mutually Exclusive Diseases,” Dermatology, Vol. 189, No. 3, 1994, pp. 238-240. doi:10.1159/000246845

[7]   T. S. Szasz, “The Myth of Mental Illness,” In: A. L. Caplan, J. J. McCartney and D. A. Sisti, Eds., Health, Disease, and Illness: Concepts in Medicine, Georgetown University Press, Washington DC, 2004, pp. 43-50.

[8]   D. Eisenberg, S. E. Gollust, E. Golberstein and J. L. Hefner, “Prevalence and Correlates of Depression, Anxiety, and Suicidality among University Students,” American Journal of Orthopsychiatry, Vol. 77, No. 4, 2007, pp. 534-542. doi:10.1037/0002-9432.77.4.534

[9]   R. L. Spitzer, K. Kroenke, J. B. W. Williams and The Patient Health Questionnaire Primary Care Group, “Validation and Utility of a Self-Report Version of PRIMEMD: The PHQ Primary Care Study,” Journal of the American Medical Association, Vol. 282, No. 18, 1999, pp. 1737-1744. doi:10.1001/jama.282.18.1737

[10]   S. Becker, K. Al Zaid and E. Al Faris, “Screening for Somatization and Depression in Saudi Arabia: A Validation Study of the PHQ in Primary Care,” International Journal of Psychiatric Medicine, Vol. 32, No. 3, 2002, pp. 271-283.