The best replacement for standard error is standard deviation.

The best alternatives to standard error are rated as following:
★★★★★  standard deviation
★★★★  variance
★★★  deviation
★★★  margin of error
★★★  standard error of the mean
★★  confidence interval
★★  sampling error
★  percent error
★  sample size
★  rmse
★  sem
  standard dev
  exception ruby
  standard deviation of the mean
  uncertainty
  confidence intervals
  standard error of mean
  sample standard deviation
  coefficient of variation
  r squared
  confidence limits

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Speaking about standard error, one probably shouldn't forget about 95 confidence interval.

Other search terms related to standard error and their ratings are:
★★★★★ 95 confidence interval
★★★★★ 95 confidence limits
★ 95 confidence
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