Citation data and journal impact factors are important components of faculty dossiers and figure prominently in both promotion decisions and assessments of a researcher's broader societal impact. Although these metrics play a large role in high-stakes decisions, the evidence is mixed regarding whether they are valid proxies for key aspects of research quality. We use data from three large scale studies to assess whether citation counts and impact factors predict four indicators of research quality: (1) the number of statistical reporting errors in a paper, (2) the evidential value of the reported data, (3) the expected replicability of reported research findings in peer reviewed journals, and (4) the actual replicability of a given experimental result. Both citation counts and impact factors were weak and inconsistent predictors of research quality, so defined, and sometimes negatively related to quality. Our findings impugn the validity of citation data and impact factors as indices of research quality and call into question their usefulness in evaluating scientists and their research. In light of these results, we argue that research evaluation should instead focus on the process of how research is conducted and incentivize behaviors that support open, transparent, and reproducible research.