Season-long (March-October) average turf quality ranged from clonal lines that were aesthetically acceptable as reduced-maintenance turfgrass, to those that lacked most of the desirable turf-type traits, with values from 2.5 to 7.7, and a

population mean of 4.1 (Table 1).

To determine whether this study reliably represented the

population means, a two-sample "t-test" was performed, wherein the saw-cut and Zipper cores were each considered samples of separate populations.

However, genes were only considered as differentially regulated if the p value from four independent experimental ratios was <0.05 compared with the normalized

population mean using a two-tailed t-test.

Behind this stability condition, there is the idea that the sign of the selection differential S will be the same as the sign of [Delta]W/[Delta]x at [Mathematical Expression Omitted], that is, if the partial derivative is positive at [Mathematical Expression Omitted], selection will tend to increase the

population mean, at least when the action of local mutants is considered, and if the partial derivative is negative, selection will tend to decrease the

population mean.

Key Words:

Population mean, median, study variate, ratio estimators, maximum and minimum values, bias, mean square error, simple random sampling.

When n is <25, the standardized difference between the sample and

population means is therefore typically >0.20, the widely accepted default for smallest important differences.

Population x location interactions were described in terms of the rank correlation between

population means at the two locations and the phenotypic variance at each location (Muir et al., 1992).

If the

population mean is different from the optimum value [X.sub.op] = 0, [B.sub.1]/[B.sub.0] is different from zero and generally more important than the second order coefficient [B.sub.2]/[B.sub.0].

In this paper, some generalized exponential chain ratio and chain product type estimators have been proposed for finite

population mean in the presence of non-response in stratified two-phase sampling when means of the auxiliary variables are not available.

It turns out that we need four times more subjects than what we would use for making an inference about the

population mean effect.

In general, the results suggest that the use of Fishers z transformation of the reliability estimates provided a modest increase in the accuracy of the estimation of the

population mean reliability.