When predictions are intended to be quantitative, it is important to report the uncertainties associated with those predictions. In any application for which the values are important, the reliability of those values is also important. Reliability is usually expressed as an uncertainty statement. The uncertainties should reflect variations in the method of data analysis, in the selection of data points, in the choice of energy levels used to obtain spectroscopic constants, and uncertainty in the data themselves deriving from physical and mathematical approximations. Note that noise in energy calculations is not restricted to stochastic methods of electronic structure. For example, basis-set extrapolation carries uncertainty as well. The present strategy is helpful for reducing the uncertainties in predicted energy levels. In other words, the strategy improves the precision of predictions.