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This paper outlines the replication crisis in psychology, and highlights its significance for quantitative educational research. Greater methodological rigour, aimed at addressing methodological deficiencies in the conduct of scientific research, has been suggested as a response to the replication crisis. Following a review of various calls for greater methodological rigour, the current paper argues that there is potentially a more fundamental reason for the replication crisis. The case is made that the non-separability of a measured attribute from the measurement instrument, and the irreducible uncertainty in unmeasured attributes, may be the principal reasons for the replication crisis in psychology and education. Implications of such an explanation for the crisis are articulated in relation to the evidence-based policy agenda in education.