Formal empirical assessments of replication have recently become more prominent in several areas of science, including psychology. These assessments have used different statistical approaches to determine if a finding has been replicated. The purpose of this article is to provide several alternative conceptual frameworks that lead to different…

Replication is important to viable scientific inquiry; results that will not replicate or generalize are of very limited value. Statistical significance enables the researcher to reject or not reject the null hypothesis according to the sample results obtained, but statistical significance does not indicate the probability that results will be…

Reviews case against using traditional statistical methods in educational research. Examines "fantasies" entertained by researchers about the meaning of statistical significance. Recommends abandoning statistical significance testing and suggests other ways of evaluating research results. Advocates a return to the scientific method of examining…