An application of statistical analysis to petrochemical data

Mathematics – Probability

Scientific paper

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Scientific paper

The development of rapid methods of silicate analysis has made possible the study of chemical variation in rock masses by means of large numbers of analyses. To obtain the maximum benefit from the data in the form of conclusions of stated probability of correctness and numerical estimates of variation and of differences, statistical methods have to be employed. In a recent paper and (1957) publish about fifty rock analyses from the neighbourhood of the Ardara Pluton, Donegal, Eire. In the present paper these data are statistically analysed. Several statistical methods are employed i.e. t -test, one-way and two-way analysis of variance. Each is related to the sampling scheme that it requires and the questions it can answer. and conclusions are reproduced statistically and given, together with numerical estimates of the probability of their correctness and of the compositional differences they discovered. Further conclusions are also drawn. Consideration of the problem tackled by and and of their data shows that possibly a three-way partially nested analysis of variance is the experimental design best suited to their purpose, but their sampling scheme is not amenable to this form of analysis.

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