This book focuses on projections and singular value decomposition (SVD), essential for multivariate analysis. It provides a comprehensive discussion of generalized inverse matrices and their relation to projections. The text explores these concepts through linear transformations in finite-dimensional vector spaces, benefiting researchers and students in various fields.
At the International Meeting of the Psychometric Society in Osaka, Japan, more than 300 participants from 19 countries gathered to discuss recent developments in the theory and application of psychometrics. This volume of proceedings includes papers on methods of psychometrics such as the structural equation model and item response theory. The book is in eight major keynote speeches and invited lectures; structural equation modeling and factor analysis; IRT and adaptive testing; multivariate statistical methods; scaling; classification methods; and independent and principal component analysis. The 80 papers collected here provide a valuable source of information for all who are concerned with psychometrics, mathematical and statistical applications, and data analysis in psychological and behavioral sciences.