123
Views
0
CrossRef citations to date
0
Altmetric
Articles

Estimating upper confidence bounds for positive ratios of normal random variables

, , &
Pages 4894-4903 | Received 27 Mar 2013, Accepted 06 Aug 2013, Published online: 03 Aug 2022

References

  • Bi, J. (2005). Similarity testing in sensory and consumer research. Food Qual. Preference 16:139–49.
  • Bi, J. (2007). Similarity testing using paired comparison method. Food Qual. Preference 18:500–7.
  • Bi, J. (2010). Comments on D.M. Ennis’ presentation on equivalence testing. Food Qual. Preference 21:259–60.
  • Ennis, D. M. (2008a). Response to Bi, J. 2007. Similarity testing using paired comparison method. Food Quality & Preference. 18, 500–507. Food Qual. Preference 19:344.
  • Ennis, D. M. (2008b). Rejoinder to Bi and Meyners. Food Qual. Preference 19:347–348. doi:10.1016/j.foodqual.2007.10.003.
  • Ennis, D. M., Ennis, J. M. (2009). Hypothesis testing for equivalence defined on symmetric open intervals. Commun. Stat. Theory Methods 38:1792–1803.
  • Ennis, D. M., Ennis, J. M. (2010). Equivalence hypothesis testing. Food Qual. Preference 21:253–6.
  • Ennis, D. M., Ennis, J. M., Palen, J., Lampe, R. E. (2008). Confidence bounds for positive ratios of normal random variables. Commun. Stat. Theory Methods 37:307–17.
  • Ennis, J. M., Ennis, D. M. (2011). Confidence bounds for multiplicative comparisons. Commun. Stat. Theory Methods 40:3049–54.
  • Fieller, E. C. (1993). The distribution of the index in a normal bivariate population. Biometrika 24:428–40. doi:10.2307/2331976.
  • Geary, R. C. (1930). The frequency distribution of the quotient of two normal variates. J. R. Stat. Soc. 93:442–46. doi:10.2307/2342070.
  • Hinkley, D. V. (1969). On the ratio of two correlated normal random variables. Biometrika 56:635–9.
  • Hwang, J. T. G. (1995). Fieller’s problems and resampling techniques. Stat. Sin. 5:161–71.
  • Marsaglia, G. (1965). Ratios of normal variables and ratios of sums of uniform variables. J. Am. Stat. Assoc. 60:193–204. doi:10.1080/01621459.1965.10480783.
  • Meyners, M. (2007). Least equivalent allowable differences in equivalence testing. Food Qual. Preference 18:541–7.
  • Meyners, M. (2008). Comment on the letters by D.M. Ennis and J. Bi. Food Qual. Preference 19:346. doi:10.1016/j.foodqual.2007.10.002.
  • Meyners, M. (2012). Equivalence tests—A review. Food Qual. Preference 26:231–45. doi:10.1016/j.foodqual.2012.05.003.

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:

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:

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.