Simulation methodology for statisticians, operations analysts, and engineers: vol. 1
Simulation methodology for statisticians, operations analysts, and engineers: vol. 1
Displaying statistical point estimators: the leading-digit procedure
Proceedings of the 40th Conference on Winter Simulation
Proceedings of the 40th Conference on Winter Simulation
Omitting meaningless digits: analyzing LDR(1), the standard leading-digit rule
Winter Simulation Conference
How simulation languages should report results: a modest proposal
Winter Simulation Conference
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Motivated by the question of which point-estimator digits to report in a statistical experiment, we study the probabilistic behavior of the digits as a function of the true performance measure and the point estimator's standard error. We investigate the family of Leading-Digit Rules, which guarantees that every unreported digit has correctness probability below a given threshold. Choosing the threshold to be about 0.198 yields Yoneda's rule. The easy-to-implement rule that reports the point estimate through the leading digit of the standard error has threshold (approximately) 0.117, which is not much larger than the one-in-ten probability of a uniformly distributed random digit being correct.