It has been claimed that solar variability is the largest driver of climatic variability across thePhanerozoic eon and that it accounts for ½ to ⅔ of20th century warming. Apparent evidence insupport of these claims has been mustered frommodeling work along with paleoclimatic, oceanographic, and other observational datasets.Here I will show that this research fails to replicate. I additionally find that many studies claiming tosupport a strong solar-climate link suffer from fundamental statistical and conceptual errors thatinvalidate their results.