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Regulating Pesticides (1980) / Chapter Skim
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Appendix F: Construction of Confidence Intervals for Mathematical Combinations of Random Variables
Pages 283-286

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From page 283...
... If the mathematical manipulations involve two or more variables measured as intervals, caution must be exercised in forming the confidence interval for the derived estimate. This appendix presents the correct procedure for combining estimates of random variables to derive estimates of and confidence intervals for other random variables.)
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From page 284...
... QUOTIENT OF TWO RANDOM VARIABLES In general, there are no simple exact formulas for the mean and variance of the quotient of two random variables, although there are some approximate formulas (Mood et al.
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From page 285...
... Similar reasoning applied to the IPM benefit estimates yields an estimated variance of $8.31 x 10~. The square root of the sum of these variances provides a correct estimate of the standard deviation around the sum of the mean values for the two variables, namely so+ = $2.04 million.
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From page 286...
... Journal of the American Statistical Association 55:70~713.
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Key Terms

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  • benefits forgone

  • combining estimates
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  • estimated range
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  • distributed variables

  • interval estimates
  • square root
  • total benefits
  • ipm benefit
  • reasoning applied

  • forgone due
  • variables assumes
  • individual benefit
  • derive estimates
  • estimated mean

  • florida equal
  • randomly distributed
  • upper limits
  • mean value
  • correct procedure

  • results easily
  • simple exact
  • similar reasoning
  • estimates yields
  • correct estimate


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