Abstract
The statistical properties of square, two dimensional samples are intermediate between those of linear and spherical samples. The number of pairs of unit samples n k possessing lag k are presented in Tables 1 and 2, according to two definitions of the lag in two and three dimensional samples. By combining these values with the serial correlation coefficients which characterise incomplete mixtures, Eq. (2) can be used to related the variance of composite samples to the sample size. Figure 2 illustrates typical variance-sample size curves for a given mixture, showing the large effect of sample shape. Direct comparisons with the experimental results of Hall and Godfrey [5] and Zweig[4] fully support the statistical results presented in the first part of this paper.
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