On MLEs in an extended multivariate linear growth curve model
نویسندگان
چکیده
منابع مشابه
Residuals in the Extended Growth Curve Model
Four residuals in the MLNM(A1B1C1 + A2B2C2) are defined. The estimated model which is obtained by using the maximum likelihood theory is considered. The vec operator is applied to the estimated model and it turns out that the estimated model is the projection of the observations on the space generated by the design matrices which is the sum of two tensor product spaces. The estimated model is s...
متن کاملA MultivAriAte Growth Curve Model for three-level dAtA
One of the most vexing challenges that has faced the behavioral sciences over the past century has been how to optimally measure, summarize, and predict individual variability in stability and change over time. It has long been known that a multitude of advantages are associated with the collection and analysis of repeated measures data; indeed, longitudinal data have become nearly requisite in...
متن کاملExtended Linear Models, Multivariate Splines and Anova
Extended Linear Models, Multivariate Splines and ANOVA by Mark Henry Hansen Doctor of Philosophy in Statistics University of California at Berkeley Professor Charles J. Stone, Chair In this dissertation, we pursue a theoretical investigation into several aspects of multivariate function estimation. In general, we con ne ourselves to estimators that are smooth, piecewise polynomial functions, or...
متن کاملSome properties of the best linear unbiased estimators in multivariate growth curve models
The purpose of this article is to build a class of the best linear unbiased estimators (BLUE) of the linear parametric functions, to prove some necessary and sufficient conditions for their existence and to derive them from the corresponding normal equations, when a family of multivariate growth curve models is considered. It is shown that the classical BLUE known for this family of models is t...
متن کاملNon-linear multivariate curve resolution analysis of voltammetric pH titrations.
A new chemometric approach is put forward, dealing with the non-linear behaviour observed in the multivariate curve resolution (MCR) analysis of certain overlapping voltammetric signals obtained in titrations of metal complexes where pH is progressively changed. In such cases, non-reversible reduction signals move along the potential axis as a consequence of the involvement of H(+)-ions in the ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Metrika
سال: 2011
ISSN: 0026-1335,1435-926X
DOI: 10.1007/s00184-011-0368-2