On comparative probabilities for normal confidence intervals by pearson's Types III and VII, and the Edgeworth series models for biotite data

Abstract

Biotite crystals were counted in standard thin sections which originated from the diamond drill core of the mafic norite formation at Strathcona mine, Sudbury Nickel Irruptive. Pearson's method of moments is suitable to fit Types III and VII to the biotite data and its log10transformation values, as the number of samples (thin sections)is large (351).Based on the two models and the Edgeworth series (utilizing the log10data)probability values p,that biotite occurrences lie in the interval “mean ± Z ⋅standard deviations” is derived. Results are compared with the usual normal probability values pZcorresponding to Zand it is shown that the Edgeworth series generated the largest pvalues for intervals when pZvalues are large; for intermediate or lower pZs. Types VII and III models produced larger ps, relative to the Normal and the Edgeworth series.