additivity
Noun
Meaning
(uncountable) The property of being additive
(countable) The extent to which something is additive
Source: en.wiktionary.orgSynonyms
Antonyms
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Examples
Definition Countable additivity of a measure μ : The measure of a countable disjoint union is the same as the sum of all measures of each subset.
In linear regression analysis the corresponding formula is : This can also be derived from the additivity of variances, since the total (observed) score is the sum of the predicted score and the error score, where the latter two are uncorrelated.
Both these analyses require homoscedasticity, as an assumption for the normal-model analysis and as a consequence of randomization and additivity for the randomization-based analysis.
Derived linear model Kempthorne uses the randomization-distribution and the assumption of unit treatment additivity to produce a derived linear model, very similar to the textbook model discussed previously.
Hinkelmann and Kempthorne add adjectives and distinguish between additivity in the strict and broad senses.
However, many consequences of treatment-unit additivity can be falsified.