The best replacement for repeated measures is independent measures.

The best alternatives to repeated measures are rated as following:
★★★★★  independent measures
★★★★  one way anova
★★★  between subjects
★★★  matched pairs
★★★  independent samples
★★★  replication
★★  time series
★★  ancova
★★  paired t test
★★  two way anova
★  longitudinal data
★  manova
★  within subjects
★  mixed model
  independent groups
  t-test
  multivariate

Your alternative for repeated measures is not listed? Suggest!
Speaking about repeated measures, one probably shouldn't forget about covariate.

Other search terms related to repeated measures and their ratings are:
★★★★★ covariate
★★★ covariates
★★ proc mixed
You have in mind a companion for repeated measures and it is not yet here? Propose!



Google Trends

Scale is based on the average worldwide traffic of repeated measures in all years. Click on graph for more.
repeated measures
independent measures
one way anova