The best replacement for sensitivity analysis is scenario analysis.

The best alternatives to sensitivity analysis are rated as following:
★★★★★  scenario analysis
★★  contingency planning
★★  risk analysis
★★  simulation
★★  monte-carlo simulation
★  stress testing
★  uncertainty analysis
★  break even analysis
  what if
  subgroup analysis

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Speaking about sensitivity analysis, one probably shouldn't forget about data tables in excel.

Other search terms related to sensitivity analysis and their ratings are:
★★★★★ data tables in excel
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