This article argues that the concept of equivalence is one of the most important methodological aspects of valid and reliable measurement in cross-national survey research. The important topic of survey measure equivalence has not been systematically in Czech social science publications to date and this article hopes to address this gap in the literature. Consequently, the two main goals of this article are (1) to acquaint the reader with techniques that are used to find questions that are interpreted in the same way across countries before data collection and (2) to describe the testing and evaluation of measurement indicators’ equivalence or comparability after data collection. This study presents cognitive approaches to “good” question wording practices, best translation practices and the application of both ‘emic’ (culture specific) and ‘etic’ (culture universal) approaches to survey question design. After data collection a range of statistic techniques are usually employed ranging from basic statistics such as the mean to advanced approaches such as multi-group structural equation modelling, multilevel modelling, latent class modelling and Item Response Theory). This article describes some of these techniques in the context of measurement equivalence and its associated research literature., Petra Anýžová., and Obsahuje bibliografii
This article argues that the concept of equivalence is one of the most important methodological aspects of valid and reliable measurement in cross-national survey research. The important topic of survey measure equivalence has not been systematically in Czech social science publications to date and this article hopes to address this gap in the literature. Consequently, the two main goals of this article are (1) to acquaint the reader with techniques that are used to find questions that are interpreted in the same way across countries before data collection and (2) to describe the testing and evaluation of measurement indicators’ equivalence or comparability after data collection. This study presents cognitive approaches to “good” question wording practices, best translation practices and the application of both ‘emic’ (culture specific) and ‘etic’ (culture universal) approaches to survey question design. After data collection a range of statistic techniques are usually employed ranging from basic statistics such as the mean to advanced approaches such as multi-group structural equation modelling, multilevel modelling, latent class modelling and Item Response Theory). This article describes some of these techniques in the context of measurement equivalence and its associated research literature.
The Cohen’s kappa coefficient is a widely accepted mecisure of agreement on categorical variables and has replaced some older simpler measures. Observational and statistical properties of the kappa coefficient in 2 x 2 tables are investigated. The asymmetrical measure “Cohenized implication” is proposed. The decomposition of the symmetrical measure kappa into two asymmetrical components is shown. These statistically motivated measures are discussed as weakened forms of strict logical notions of equivalence and implication. Applications of kappa and “Cohenized implication” are recommended; on the one hand in the medical research as a supplement to traditional measures of sensitivity and speciíity, on the other hand as quantifiers in the GUHA proceduře ASSOC as a statistically contemporary operationalization of the weakened equivalence.
Our purpose is to present a number of new facts about the structure of semipositive matrices, involving patterns, spectra and Jordon form, sums and products, and matrix equivalence, etc. Techniques used to obtain the results may be of independent interest. Examples include: any matrix with at least two columns is a sum, and any matrix with at least two rows, a product, of semipositive matrices. Any spectrum of a real matrix with at least 2 elements is the spectrum of a square semipositive matrix, and any real matrix, except for a negative scalar matrix, is similar to a semipositive matrix. M-matrices are generalized to the non-square case and sign patterns that require semipositivity are characterized., Jonathan Dorsey, Tom Gannon, Charles R. Johnson, Morrison Turnansky., and Obsahuje seznam literatury
The classical Serre-Swan's theorem defines an equivalence between the category of vector bundles and the category of finitely generated projective modules over the algebra of continuous functions on some compact Hausdorff topological space. We extend these results to obtain a correspondence between the category of representations of an étale Lie groupoid and the category of modules over its Hopf algebroid that are of finite type and of constant rank. Both of these constructions are functorially defined on the Morita category of étale Lie groupoids and we show that the given correspondence represents a natural equivalence between them.
In this paper, an equivalence on the class of uninorms on a bounded lattice is discussed. Some relationships between the equivalence classes of uninorms and the equivalence classes of their underlying t-norms and t-conorms are presented. Also, a characterization for the sets admitting some incomparability w.r.t. the U-partial order is given.