Quantitative statistical critera for use in the cumulative, semi-cumulative and distribution function tests for centrosymmetry

Several criteria suitable for taking a decision regarding the centrosymmetry of crystals by the study of the goodness-of-fit of the observed and expected cumulative, semi-cumulative and distribution functions of normalized structure amplitudes are suggested. Practical aspects of the various tests are discussed. From a study of the performance of these tests on four crystals a safe method of conducting these tests is suggested.