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Invariant, relatively invariant, and quasi-invariant measures
1989In this section we discuss existence and uniqueness of invariant, relatively invariant and quasi-invariant measures on a space χ with an acting group G. In particular, the left and right invariant measures on G itself are considered, and several basic formulas relating these are derived. Various disintegration formulas are also presented.
Ole E. Barndorff-Nielsen +2 more
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Measurement Invariance, Factor Analysis and Factorial Invariance
Psychometrika, 1993Several concepts are introduced and defined: measurement invariance, structural bias, weak measurement invariance, strong factorial invariance, and strict factorial invariance. It is shown that factorial invariance has implications for (weak) measurement invariance. Definitions of fairness in employment/admissions testing and salary equity are provided
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Invariant Measures on Manifolds
1976In this chapter we discuss the action of matrix groups on various manifolds. Mostly conclusions will not be stated as formal theorems except in the last sections of the chapter.
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Measurement Invariance, Predictive Invariance, and the Duality Paradox
Multivariate Behavioral Research, 1995The statistical literature on bias in psychological testing distinguishes at least two forms of bias: measurement bias and predictive bias. Measurement bias concerns group differences in the relationship between a test and the latent variable to be measured.
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DISTRIBUTION-INVARIANT RISK MEASURES, INFORMATION, AND DYNAMIC CONSISTENCY
Mathematical Finance, 2006exaly
On the equivalence of μ-invariant measures for the minimal process and its q-matrix
Stochastic Processes and Their Applications, 1986P K Pollett
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