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The AAPG/Datapages Combined Publications Database
Journal of Sedimentary Research (SEPM)
Abstract
Multigroup Discrimination of River, Beach, and Dune Sands Using Roundness Statistics
Basanta K. Sahu
ABSTRACT
Maximization of the ratio of the quadratic forms V
AV/V WV effected by simultaneous diagonalization of the pooled within-group, W, and pooled among-group, A, matrices of these environments using roundness statistics of quartz grains yields optimal multigroup discrimination. The discriminant scores projected onto the retained discriminant space are in dependent among group means as well as within each of these groups so th at the discriminant space can be partitioned by using simple Euclidean distance between the group-mean scores. It is concluded that the main discriminating variables are roundness-standard deviation and roundness-
skewness
, which affect about 99.37 percent of
he total discrimination, whereas the second discriminant function, inclined at 75° to the first, is statistically significant for classification and is largely loaded on roundness-mean.
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