Statistical error analysis in computers, computer codes, and computed results

In constructing computers, setting up computer codes, and analyzing calculation results, errors must be taken into account which can best be assessed using statistical methods. The fundamental approach and mathematics, which are the same for all problems are briefly outlined. The application of statistical methods to the analysis of theoretical results is reported in some more detail. With the aid of a few examples, it is shown that these methods are widely applicable, that the results obtained are compatible with experience, and that statements are possible which cannot be obtained, or only with difficulties, by non-statistical methods. Some extensions of the present methods are proposed. The integration of this method in RSYST is described. This integration makes the methods available for general application to any code desired. (orig.)