10 citations · 38 across the 25 of their papers we have counts for
15 papers · 1 filter
A -step-ahead sequential adaptive algorithm for D-optimal nonlinear regression design
Fritjof Freise, Norbert Gaffke, Rainer Schwabe
Under a nonlinear regression model with univariate response an algorithm for the generation of sequential adaptive designs is studied. At each stage, the current design is augmente…
Optimal Subsampling Design for Polynomial Regression in one Covariate
Torsten Reuter, Rainer Schwabe
Improvements in technology lead to increasing availability of large data sets which makes the need for data reduction and informative subsamples ever more important. In this paper…
Optimal designs for discrete choice models via graph Laplacians
Frank Röttger, Thomas Kahle, Rainer Schwabe
In discrete choice experiments, the information matrix depends on the model parameters. Therefore designing optimally informative experiments for arbitrary initial parameters often…
Optimal Design for Estimating the Mean Ability over Time in Repeated Item Response Testing
Fritjof Freise, Heinz Holling, Rainer Schwabe
We present general results on D-optimal designs for estimating the mean response in repeated measures growth curve models with metric outcomes. For this situation, we derive a nove…
In- and Equivariance for Optimal Designs in Generalized Linear Models: The Gamma Model
Osama Idais, Rainer Schwabe
We give an overview over the usefulness of the concept of equivariance and invariance in the design of experiments for generalized linear models. In contrast to linear models here…
Optimality regions for designs in multiple linear regression models with correlated random coefficients
Ulrike Graßhoff, Heinz Holling, Frank Röttger +1
This paper studies optimal designs for linear regression models with correlated effects for single responses. We introduce the concept of rhombic design to reduce the computational…
Convergence of least squares estimators in the adaptive Wynn algorithm for a class of nonlinear regression models
Fritjof Freise, Norbert Gaffke, Rainer Schwabe
The paper continues the authors' work on the adaptive Wynn algorithm in a nonlinear regression model. In the present paper it is shown that if the mean response function satisfies…
The adaptive Wynn-algorithm in generalized linear models with univariate response
Fritjof Freise, Norbert Gaffke, Rainer Schwabe
For a nonlinear regression model the information matrices of designs depend on the parameter of the model. The adaptive Wynn-algorithm for D-optimal design estimates the parameter…
Analytic solutions for locally optimal designs for gamma models having linear predictor without intercept
Osama Idais, Rainer Schwabe
The gamma model is a generalized linear model for gamma-distributed outcomes. The model is widely applied in psychology, ecology or medicine. In this paper we focus on gamma models…
The semi-algebraic geometry of saturated optimal designs for the Bradley-Terry model
Thomas Kahle, Frank Röttger, Rainer Schwabe
Optimal design theory for nonlinear regression studies local optimality on a given design space. We identify designs for the Bradley--Terry paired comparison model with small undir…
Optimal designs for -factor two-level models with first-order interactions on a symmetrically restricted design region
Fritjof Freise, Rainer Schwabe
We develop -optimal designs for linear models with first-order interactions on a subset of the full factorial design region, when both the number of factors set to the hig…
Optimal Designs for Poisson Count Data with Gamma Block Effects
Marius Schmidt, Rainer Schwabe
The Poisson-Gamma model is a generalization of the Poisson model, which can be used for modelling count data. We show that the -optimality criterion for the Poisson-Gamma model…
Optimal designs for two-level main effects models on a restricted design region
Fritjof Freise, Heinz Holling, Rainer Schwabe
We develop -optimal designs for linear main effects models on a subset of the full factorial design region, when the number of factors set to the higher level is bounded.…
Optimal Designs for the Generalized Partial Credit Model
Paul-Christian Bürkner, Rainer Schwabe, Heinz Holling
Analyzing ordinal data becomes increasingly important in psychology, especially in the context of item response theory. The generalized partial credit model (GPCM) is probably the…
Algebraic geometry of Poisson regression
Thomas Kahle, Kai-Friederike Oelbermann, Rainer Schwabe
Designing experiments for generalized linear models is difficult because optimal designs depend on unknown parameters. Here we investigate local optimality. We propose to study for…