The best replacement for experimental is correlational.

The best alternatives to experimental are rated as following:
★★★★★  correlational
★★★★  theoretical probability
★★★★  control group
★★★  observational
★★  quasi experimental
★★  non experimental research
★★  quasi-experimental
★★  non experimental
★★  correlational research
★★  observational study
★★  descriptive research
★  correlational study
★  nonexperimental
★  quasi-experimental design
★  control groups
★  theoretical
★  correlational design
★  quasi-experimental designs
★  non-experimental research
★  quasi experimental design
★  observational studies
★  descriptive
  investigational
  experimental
  non-experimental
  non-experimental design
  observational statistics
  theoretical physics
  nonexperimental research
  observational data
  theoretical error
  quasi-experimental study
  non experimental designs
  experimental design
  control
  an observational study
  correlation

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Google Trends

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experimental
correlational
theoretical probability