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Statistics/Theory --
Statistics/Applied
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.
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)
Dick Beldin