The objectives of this paper are to: (a) to examine the effect of Koehler and Wilson's (1986) modification of the Pearson

chi-square statistic on Type I error; (b) to examine the effect of the following four factors on the Type I error rate of the Pearson chi-square test of homogeneity of distributions: (1) number of species or categories; (2) number of samples per location, time or population; (3) mean abundance of species or objects; (4) aggregation as measured by the b parameter of the Taylor power law and the VM ratio.

Given these tables, a

chi-square statistic tested for a relationship between production process focus and business unit performance.

As shown in the Appendix, the hypothesized affective model fit the Finnish data for all 10 ads, The

chi-square statistic was insignificant (p [greater than] 0.

Although this statistic looks like the usual

chi-square statistic, we simulate its distribution under [H.

11 which is distributed as

chi-square statistic with three degrees of freedom under the null hypothesis and is not significant at the 5 percent level.

14) The in-sample and out-of-sample predicted distributions for the three alternative models are compared with the actual distributions using a variant of the standard

chi-square statistic.

The

Chi-square statistic for the effect of the industry dummy variables is also statistically significant.

Most experimental studies on gametic disequilibrium test the independence between allelic frequencies by the

chi-square statistic or equivalent statistical methods (Hedrick et al.

The observed and expected number of parasites for the 12, 7, and 8 parameter models and the

chi-square statistic for each are given in Tables 5, 6, and 7.

The likelihood-ratio is interpreted analogously to the traditional

chi-square statistic, but has certain multivariate advantages in applied studies such as this (17).

Heterogeneity in annual rates was tested using a

chi-square statistic [6].

Near the bottom of each table the total

chi-square statistic (which is the sum of all of the chi-square contributions) is shown together with its respective p-value.