What does homoscedasticity mean?
Definitions for homoscedasticity
ho·moscedas·tic·i·ty
This dictionary definitions page includes all the possible meanings, example usage and translations of the word homoscedasticity.
Wiktionary
homoscedasticitynoun
A property of a set of random variables where each variable has the same finite variance.
Wikipedia
homoscedasticity
In statistics, a sequence (or a vector) of random variables is homoscedastic () if all its random variables have the same finite variance. This is also known as homogeneity of variance. The complementary notion is called heteroscedasticity. The spellings homoskedasticity and heteroskedasticity are also frequently used.Assuming a variable is homoscedastic when in reality it is heteroscedastic () results in unbiased but inefficient point estimates and in biased estimates of standard errors, and may result in overestimating the goodness of fit as measured by the Pearson coefficient. The existence of heteroscedasticity is a major concern in regression analysis and the analysis of variance, as it invalidates statistical tests of significance that assume that the modelling errors all have the same variance. While the ordinary least squares estimator is still unbiased in the presence of heteroscedasticity, it is inefficient and generalized least squares should be used instead.Because heteroscedasticity concerns expectations of the second moment of the errors, its presence is referred to as misspecification of the second order.The econometrician Robert Engle was awarded the 2003 Nobel Memorial Prize for Economics for his studies on regression analysis in the presence of heteroscedasticity, which led to his formulation of the autoregressive conditional heteroscedasticity (ARCH) modeling technique.
Wikidata
Homoscedasticity
In statistics, a sequence or a vector of random variables is homoscedastic if all random variables in the sequence or vector have the same finite variance. This is also known as homogeneity of variance. The complementary notion is called heteroscedasticity. The spellings homoskedasticity and heteroskedasticity are also frequently used. The assumption of homoscedasticity simplifies mathematical and computational treatment. Serious violations in homoscedasticity may result in overestimating the goodness of fit as measured by the Pearson coefficient.
Numerology
Chaldean Numerology
The numerical value of homoscedasticity in Chaldean Numerology is: 2
Pythagorean Numerology
The numerical value of homoscedasticity in Pythagorean Numerology is: 8
Translations for homoscedasticity
From our Multilingual Translation Dictionary
- متماثل التفاوتArabic
- homocedasticidadSpanish
- homoseksualitasIndonesian
- homoscedasticitySwedish
- హోమోస్ సేడాస్టిసిటీTelugu
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"homoscedasticity." Definitions.net. STANDS4 LLC, 2024. Web. 24 Apr. 2024. <https://www.definitions.net/definition/homoscedasticity>.
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