Wikipedia 10K Redux by Reagle from Starling archive. Bugs abound!!!

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back to [[Statistics/Theory]] -- [[Statistics/Applied]]

[[Statistics]], like 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
#independence of observational error from potential confounding effects
#exact or approximate normality of observations
#linearity of graded responses to quantitative stimuli

[[Dick Beldin]]