On 10 Sep 2001 15:37:18 -0700, [EMAIL PROTECTED] (JD Kronicz)
wrote:
>I am a human health risk assessor. I am trying to calculate the 95%
>UCL of a lognormal distribution. The data sets I have all have about
>350 samples. I can't find a lookup table for the H-Statistic for more
>than 100 samples. If anyone can point me in the right direction I
>would greatly appreciate it.
The reference to the original paper on the H-statistic is:
Land, C. E. 1971. "Confidence intervals for linear functions of the
normal mean and variance." The Annals of Mathematical Statistics v.
42, no. 4, pp. 1187-1205.
This paper has tables for one-sided tests with degrees of freedom of
2, 5, 10, 20, 50, 100, 200, 500, and 1000 , and for two-sided tests
with df of 2, 4, 10, 20, 50, and 100. Land recommends using
four-point Lagrangian interpolation to find intermediate values.
More extensive tables for one-sided, upper confidence limits appear
in:
Land, C. E. 1975. "Tables of confidence limits for linear functions of
the normal mean and variance." Selected Tables in Mathematical
Statistics, Volume III, pp. 385-419. This publication has values for
df of 2 through 18, 20, 22, 24, 27, 30, 35, 40, 45, 50, 60, 70, 80,
100, 120, 160, 200, 250, 300, 400, 600, and 1000.
Good Luck.
Charlie Kufs
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