RI 5625 Correlations Involving Different Screen Indexes for a Given Size Distribution of Coke

Many investigators have reported studies of size distributions for particulate solids ; usually , these have involved the fitting of size distribution data to a particular mathematical function . Such studies are of unquestioned value and have contributed much worthwhile information regarding the breakage mechanisms for a variety of brittle materials . In connection with a Bureau of Mines study of the size distribution of coke , which has been subjected to the standard American Society for Testing Materials (ASTM) tumbler test , attention was focused on the relation between the 1 -inch tumbler index (usually considered to be indicative of the ability of coke to resist degradation by impact ) and the 1 /4 - inch tumbler index ( indicative of the ability to resist degradation by abrasion ) . Specifically , it was noted that for certain sets of data the correlation coefficients denoting the relation between these indexes were positive ; for other sets of data , these coefficients were negative . Preliminary consideration of this problem indicated that the usual interpretation placed on correlation coefficients was erroneous in this particular instance because the variables being correlated were necessarily related . The work described in this report was undertaken to clarify the interpretation of results of correlation studies for variables of this type .