Nickolay T Trendafilov
Biographic Data
| ID | 8867081 |
|---|---|
| NAME | Nickolay T Trendafilov |
| GIVEN NAMES | Nickolay T |
| FAMILY NAME | Trendafilov |
| SIGNATURE | TRENDAFILOV N T |
| AFFILIATIONS | The Open University |
| ORCID | 0000-0001-9309-1375 |
| VERIFIED | Yes |
| TOTAL WORKS | 3 |
| TOTAL CITATIONS | 0 |
| WORKS AS AUTHOR | 3 |
| WORKS AS EDITOR | 0 |
| FIRST PUBLICATION YEAR | 1994 |
| LATEST PUBLICATION YEAR | 2019 |
| H-INDEX | 0 |
Simple Structure Detection Through Bayesian Exploratory Multidimensional IRT Models
In modern validity theory, a major concern is the construct validity of a test, which is commonly assessed through confirmatory or exploratory factor analysis. In the framework of Bayesian exploratory Multidimensional Item Response Theory (MIRT) models, we discuss two methods aimed at investigating the underlying structure of a test, in order to verify if the latent model adheres to a chosen simple factorial structure. This purpose is achieved wi…
Iterative Majorizing Rotation to Orthogonal Simple Structure Solution
An iterative process is proposed for obtaining an orthogonal simple structure solution. At each iteration step a target matrix is constructed, such that the relative contributions of the target majorize the original ones, factor by factor. The convergence of the procedure is proven. The algorithm is illustrated with several standard numerical examples. Simple structure solution is achieved for the Thurstone's 26-variable box problem
A Simple Method for Procrustean Rotation in Factor Analysis Using Majorization Theory
The essential idea in all analytical rotation schemes for approximating Thurstone's simple structure is to split the factor loadings into two groups, the elements of the one tending toward zero, and of the other, toward unity. In the PROMAX method, the loadings of a preliminary factor pattern are raised to a fixed power to provide a target for Procrustean rotation. In this article, a mathematically better-motivated technique based on vector major…
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A Simple Method for Procrustean Rotation in Factor Analysis Using Majorization Theory
The essential idea in all analytical rotation schemes for approximating Thurstone's simple structure is to split the factor loadings into two groups, the elements of the one tending toward zero, and of the other, toward unity. In the PROMAX method, the loadings of a preliminary factor pattern are raised to a fixed power to provide a target for Procrustean rotation. In this article, a mathematically better-motivated technique based on vector major…
Iterative Majorizing Rotation to Orthogonal Simple Structure Solution
An iterative process is proposed for obtaining an orthogonal simple structure solution. At each iteration step a target matrix is constructed, such that the relative contributions of the target majorize the original ones, factor by factor. The convergence of the procedure is proven. The algorithm is illustrated with several standard numerical examples. Simple structure solution is achieved for the Thurstone's 26-variable box problem
Simple Structure Detection Through Bayesian Exploratory Multidimensional IRT Models
In modern validity theory, a major concern is the construct validity of a test, which is commonly assessed through confirmatory or exploratory factor analysis. In the framework of Bayesian exploratory Multidimensional Item Response Theory (MIRT) models, we discuss two methods aimed at investigating the underlying structure of a test, in order to verify if the latent model adheres to a chosen simple factorial structure. This purpose is achieved wi…
Computer Science (3 works) · Mathematics (3 works) · Simple (philosophy) (3 works) · Statistics (3 works) · Advanced Optimization Algorithms Research (2 works) · Algorithm (2 works) · Applied Mathematics (2 works) · Applied Mathematics (2 works) · Geometry (2 works) · Mathematical Inequalities and Applications (2 works)