The best replacement for anecdotal is empirical.

The best alternatives to anecdotal are rated as following:
★★★★★  empirical
★★★★★  running record
★★★  scientific evidence
★★  empirical evidence
★★  anecdotal
★  apocryphal
  anecdotic
  antidotal
  running records

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No companions for anecdotal have been suggested so far.
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Google Trends

Scale is based on the average worldwide traffic of anecdotal in all years. Click on graph for more.
anecdotal
empirical
running record