The State does not evaluate these situations, apparently due to its reliance on the normal approximation
to the binomial for the purpose of computing a confidence interval for the RAMR.
to the Beta Posterior Distribution
Table 1 contains the descriptive statistics and results of the Mann-Whitney test and normal approximations
for differences in cranial measurements and cranial capacities between male and female T.
In light of these concerns, it is not surprising that the normal approximation
exhibits a slow convergence as a function of sample size.
Chatterjee  provides a rate of normal approximation
for the statistic [[??].sub.k] ([X.sub.1], ..., [X.sub.n]).
A hexagonal field of variation was calculated by means of normal approximation
including arithmetic means, standard deviations, and upper or lower confidence limits ([C.sub.U or L] = mean [+ or -] standard deviation x [t.sub.df:[alpha]/2]).
To assess the overall parameter variability of econometric models, a simple mean may be calculated: V = [sigma][V.sub.i]/L where [V.sub.i] is the normal approximation
to the reported F-test from the ith study, and a measure of the parameter variability on a common scale.
We can compute the normal approximation
of this binomial probability by solving for E(r) and [[sigma].sub.r] and using them to find the approximate normal area.
To rank these nine statements by the degree of gender difference (with 1 being the rank of the statement having the largest degree of gender difference) Z-values for the normal approximation
to the Mann-Whitney-Wilcoxon test were calculated.
Therefore more than one third had values of the denominator that were too small for the normal approximation
to be adequate.
The mean number of species per 1-[m.sup.2] quadrat was significantly greater at the Givens site than the Domermouth site (Table 1; Wilcoxon Rank Sum Test, normal approximation
, z = 5.51, P [less than] 0.0001, n = 21 quadrats per site), as was the mean height of both the tall rescue (Table 1; t = 2.217, df = 40, P = 0.03) and horsenettle stems (Table 1; t = 12.01, df = 94, P [less than] 0.0001; analysis performed on log transformed variables).
In the StORQS I report, this information was presented as a 95 percent confidence interval (C.I.) for p using the normal approximation
to the binomial distribution (cf.