von Rosen, Dietrich
- Institutionen för energi och teknik, Sveriges lantbruksuniversitet
- Linköpings universitet
Sammanfattning
This paper considers how to detect influential observations in crossover models with random individual effects. Two influence measures, the delta-beta influence and variance-ratio influence, are utilized as tools to evaluate the influence of the model on the estimates of mean and variance parameters with respect to case-weighted perturbations, which are introduced to the model for studying the ‘influence’ of cases. The paper provides explicit expressions of the delta-beta and variance-ratio influences for the general two-treatment balanced crossover models when the proposed decompositions for the perturbed models hold. The influence measures for each parameter turn out to be closed-form functions of orthogonal projections of specific residuals in the unperturbed model.
Nyckelord
delta-beta influence; explicit maximum likelihood estimate; mixed linear model; multiple-period crossover design; perturbation scheme
Publicerad i
Mathematical Methods of Statistics
2015, volym: 24, nummer: 1, sidor: 16-36
SLU författare
UKÄ forskningsämne
Sannolikhetsteori och statistik
Publikationens identifierare
- DOI: https://doi.org/10.3103/S1066530715010020
Permanent länk till denna sida (URI)
https://res.slu.se/id/publ/66438