The best replacement for observation is inference.

The best alternatives to observation are rated as following:
★★★★★  inference
★★★  experiment
★★★  inference worksheet
★★★  inpatient
★★★  interpretation
★  admission
★  inference activity
★  inpatient admission
★  evaluation
★  conclusion
★  introspection
★  inpatient status
  inpatient medicare
  insight
  experimentation
  measurement
  admitted
  survey
  quantitative observation
  hypothesis
  claim
  non conformance
  extended recovery
  inference activities
  inference science
  perception
  scientific data
  inferences
  subjective interpretation
  inference worksheets
  inferences worksheet
  interview
  remark
  finding
  prediction
  admittance

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Speaking about observation, one probably shouldn't forget about inference.

Other search terms related to observation and their ratings are:
★★★★★ inference
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Google Trends

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observation
inference
experiment