Abstract
The statistical analysis of primary characteristics of irregular shape particles for quality is covered for three powders, namely; semolina, sodium chloride, and aluminum oxide. The primary powder characteristics which include particle size, shape, and their distributions are obtained from sieve analysis and optic-microscopy tests. Three statistical diameters are used to present the particle size measurements made by optical-microscopy technique. Two standard sample size determination techniques used in quality analysis are utilized to calculate the proper number of particles to be measured. Both techniques give a unique sample size (i.e. number of particles) for each criterion of acceptance. The sample sizes found are 34 and 124 particles for the single and double acceptance plan respectively for the three powders. Several standard statistical probability distribution functions are attempted to obtain the best fit of the experimental statistical diameters histograms. The Weibull probability function is found to be a suitable model to fit the particles diameter histograms of the three powders.