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Statistics|Assumptions

back to [[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]])

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[[Dick Beldin]]