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Measurement invariance or measurement equivalence is a statistical property of measurement that indicates that the same construct is being measured across some specified groups. [1] For example, measurement invariance can be used to study whether a given measure is interpreted in a conceptually similar manner by respondents representing ...
In mathematics, an invariant measure is a measure that is preserved by some function. The function may be a geometric transformation . For examples, circular angle is invariant under rotation, hyperbolic angle is invariant under squeeze mapping , and a difference of slopes is invariant under shear mapping .
That is, if portfolio always has better values than portfolio under almost all scenarios then the risk of should be less than the risk of . [2] E.g. If is an in the money call option (or otherwise) on a stock, and is also an in the money call option with a lower strike price.
The Lebesgue measure on is a complete translation-invariant measure on a σ-algebra containing the intervals in such that ([,]) =; and every other measure with these properties extends the Lebesgue measure. Circular angle measure is invariant under rotation, and hyperbolic angle measure is invariant under squeeze mapping.
A group is called unimodular if the modular function is identically , or, equivalently, if the Haar measure is both left and right invariant. Examples of unimodular groups are abelian groups, compact groups, discrete groups (e.g., finite groups), semisimple Lie groups and connected nilpotent Lie groups.
A group of 58 researchers is calling for a new, better way to measure obesity. The global team’s recommendations were published in The Lancet Diabetes & Endocrinology on Jan. 14. Body mass index ...
When the distribution of the first digits of a data set is scale-invariant (independent of the units that the data are expressed in), it is always given by Benford's law. [29] [30] For example, the first (non-zero) digit on the aforementioned list of lengths should have the same distribution whether the unit of measurement is feet or yards.
Social Security’s annual cost-of-living adjustment (COLA) helps keep retirees afloat as inflation erodes purchasing power. But this year, it’s sparking some anxiety.