Statistical relations for square samples

✍ Scribed by J.R. Bourne

• Publisher: Elsevier Science
• Year: 1968
• Tongue: English
• Weight: 457 KB
• Volume: 23
• Category: Article
• ISSN: 0009-2509
• DOI: 10.1016/0009-2509(68)87005-8

✦ Synopsis

The statistical properties of square, two dimensional samples are intermediate between those of linear and spherical samples. The number of pairs of unit samples nb possessing kg k are presented in Tables t and 2. according to two definitions of the kg in two and three dimensional samples. By combining these values with the serial correlation coefficients which characterise incompkte mixtures, Eq. (2) can be used to relate the variance of composite sampks to the sampk 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.