RI 6627 Some Generalized Probability Distributions With Special Reference To The Mineral Industries (In Five Parts) 4. Experimental Confirmation

Particle mixtures were sampled in the laboratory, using ordinary sampling procedures, to determine whether or not the compound-multinomial probability distribution and other developments of part 2 agreed with experimental results. The objective was accomplished by the Bureau of Mines by comparing the moments and moment relationships of the appropriate probability models with their corresponding experimental values over a fairly wide range. The overall agreement between the corresponding theoretical and experimental values is both good and complete. The results demonstrate that sampling to a constant amount, such as weight, of items per sample is not the same, in general, as sampling to some constant number of items per sample. The results seem to confirm all the developments of part 2 and the application of the compound-multinomial function to bulk sampling.