This chapter explores three empirical concepts (the p-value, the effect size, and statistical power) integral to the avoidance of false positive scientific. Their relationship to reproducibility is explained in a nontechnical manner without formulas or statistical jargon, with p-values and statistical power presented in terms of probabilities from zero to 1.0 with the values of most interest to scientists being 0.05 (synonymous with a positive, hence, publishable result) and 0.80 (the most commonly recommended probability that a positive result will be obtained if the hypothesis that generated it was correct and the study will be properly designed and conducted). Unfortunately many scientists circumvent both by artifactually inflating the 0.05 criterion, overstating the available statistical power, and engaging in a number of other questionable research practices. These issues are discussed via statistical models from the genetic and psychological fields and then extended to a number of different p-values, statistical power levels, effect sizes, and the prevalence of “true,” effects expected to exist in the research literature. Among the basic conclusions of these modeling efforts are that employing more stringent p-values and larger sample sizes constitute the most effective statistical approaches for increasing the reproducibility of published results in all empirically based scientific literatures. This chapter thus lays the necessary foundation for understanding and appreciating the effects of appropriate p-values, sufficient statistical power, reaslistic effect sizes, and the avoidance of questionable research practices upon the production of reproducible results.