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## page was renamed from Econometrics/Homoskedasticity
= Homoskedasticity =

'''Homoskedasticity''' means that the variance of the error term is constant and not correlated to any predictors.

<<TableOfContents>>

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== Meaning ==

Mathematically, homoskedasticity and [[Econometrics/Exogeneity|exogeneity]] together can be expressed as:

{{attachment:exo.svg}}

The full set of variables is independently and normally distributed about 0. The covariance matrix is fully expressed as the [[LinearAlgebra/SpecialMatrices#Diagonal_Matrices|diagonal matrix]] of each term's variance.

The opposite condition is '''heteroscedasticity'''.

It can also be useful to express exogeneity as a [[Statistics/ConditionalExpectations|conditional expectation]] like:

{{attachment:cond.svg}}



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CategoryRicottone