Taksonomiczna metoda zgodności rang w badaniach geologicznych
Abstract
TAXONOMIC METHOD OF RANK CONSISTENCY IN GEOLOGICAL STUDIES
Summary
The taxonomic method of rank consistency is based on Spearman rank correlation coefficient, used as a measure of taxonomic similarity. The analysis involves •calculation of mean value of each feature and its relative deviation (Formula 1), to which rank is ascribed. Pairs of objects (samples) are compared by calculating correlation coefficient of ranks with the use of Formula 3. Transformation of this Formula with the use of Formula 4 and 5 makes much simpler both the calculations and estimations of taxonomic relationships (similarities or distances) at a chosen confidence level. Taxonomic distances are expressed by the value D, that is sum of squared differences of ranks. Table l presents critical values of the factor D, calculated with reference to G. T. Glasser and R. F. Winter (8) tables of critical values τs. This method may be used in analysing various sets of geological data. The examples given here (Fig. l) include sets of data concerning chemistry of mineral waters from the Piwniczna area (Polish Flysch Carpathians), grain size distribution of Bogucice sands (Miocene of the Carpathian Foredeep), heavy minerals form the Miocene of the Wieliczka and Bochnia region and Miocene foraminifer assemblages from the M.t. Radna in Roztocze.
Summary
The taxonomic method of rank consistency is based on Spearman rank correlation coefficient, used as a measure of taxonomic similarity. The analysis involves •calculation of mean value of each feature and its relative deviation (Formula 1), to which rank is ascribed. Pairs of objects (samples) are compared by calculating correlation coefficient of ranks with the use of Formula 3. Transformation of this Formula with the use of Formula 4 and 5 makes much simpler both the calculations and estimations of taxonomic relationships (similarities or distances) at a chosen confidence level. Taxonomic distances are expressed by the value D, that is sum of squared differences of ranks. Table l presents critical values of the factor D, calculated with reference to G. T. Glasser and R. F. Winter (8) tables of critical values τs. This method may be used in analysing various sets of geological data. The examples given here (Fig. l) include sets of data concerning chemistry of mineral waters from the Piwniczna area (Polish Flysch Carpathians), grain size distribution of Bogucice sands (Miocene of the Carpathian Foredeep), heavy minerals form the Miocene of the Wieliczka and Bochnia region and Miocene foraminifer assemblages from the M.t. Radna in Roztocze.