Statistical assumption: Difference between revisions
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[[Statistics]], like all mathematical disciplines does not generate valid conclusions from nothing. Every [[Mathematical Theorem]] requires a set of assumptions or [[hypotheses]] from which its conclusions are derived. [[Mathematical Proof]]s are procedures for transforming hypotheses into conclusions. |
[[Statistics]], like all mathematical disciplines does not generate valid conclusions from nothing. Every [[Mathematical Theorem]] requires a set of assumptions or [[hypotheses]] from which its conclusions are derived. [[Mathematical Proof]]s are procedures for transforming hypotheses into conclusions. |
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Revision as of 12:56, 29 June 2001
Statistics, like all mathematical disciplines does not generate valid conclusions from nothing. Every Mathematical Theorem requires a set of assumptions or hypotheses from which its conclusions are derived. Mathematical Proofs are procedures for transforming hypotheses into conclusions.
The most common statistical assumptions are:
- independence of observations from each other (see Statistical Independence)
- independence of observational error from potential confounding effects
- exact or approximate normality of observations (see Normal Distribution)
- linearity of graded responses to quantitative stimuli (see Linear Regression)
back to Statistics/Theory -- Statistics/Applied