This test compares the theoretical reliability function to the Kaplan-Meier estimate. The actual computations for this test are somewhat complex; refer to Dodson (1994, Chapter 4) for a detailed description of the computational formulas. The Hollander-Proschan test is applicable to complete, single-censored, and multiple-censored data sets; however, Dodson (1994) cautions that the test may sometimes indicate a poor fit when the data are heavily single-censored. The Hollander-Proschan C statistic can be tested against the normal distribution (z).

The Hollander-Proschan test is available in the Process Analysis method of analysis (via the Weibull and Reliability/Failure Time Analysis options). See also: Mann-Scheuer-Fertig Test and Anderson-Darling Test.