10 citations · 38 across the 25 of their papers we have counts for
27 papers
Optimal Design in Repeated Testing for Count Data
Parisa Parsamaram, Heinz Holling, Rainer Schwabe
In this paper, we develop optimal designs for growth curve models with count data based on the Rasch Poisson-Gamma counts (RPGCM) model. This model is often used in educational and…
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…
D-optimal Subsampling Design for Massive Data Linear Regression
Torsten Glemser, Rainer Schwabe
Data reduction is a fundamental challenge of modern technology, where classical statistical methods are not applicable because of computational limitations. We consider multiple li…
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 and Nearly -Optimal Exact Designs for Binary Response on the Ball
Martin Radloff, Rainer Schwabe
In this paper the results of Radloff and Schwabe (2019a) will be extended for a special class of symmetrical intensity functions. This includes binary response models with logit an…
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…
Optimal Time Plan in Accelerated Degradation Testing
Helmi Shat, Rainer Schwabe
Many highly reliable products are designed to function for years without failure. For such systems accelerated degradation testing may provide significance information about the re…
Experimental Designs for Accelerated Degradation Tests Based on Linear Mixed Effects Models
Helmi Shat, Rainer Schwabe
Accelerated degradation tests are used to provide accurate estimation of lifetime properties of highly reliable products within a relatively short testing time. There data from par…
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…
Optimal Design for Probit Choice Models with Dependent Utilities
Ulrike Graßhoff, Heiko Großmann, Heinz Holling +1
In this paper we derive locally D-optimal designs for discrete choice experiments based on multinomial probit models. These models include several discrete explanatory variables as…
Optimal Stress Levels in Accelerated Degradation Testing for Various Degradation Models
Helmi Shat, Rainer Schwabe
Accelerated degradation tests are used to provide accurate estimation of lifetime characteristics of highly reliable products within a relatively short testing time. Data from part…
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 Second-Order Interactions in Paired Comparison Experiments with Binary Attributes
Eric Nyarko, Rainer Schwabe
In paired comparison experiments respondents usually evaluate pairs of competing options. For this situation we introduce an appropriate model and derive optimal designs in the pre…
D-Optimal Design for the Rasch Counts Model with Multiple Binary Predictors
Ulrike Graßhoff, Heinz Holling, Rainer Schwabe
In this paper, we derive optimal designs for the Rasch Poisson counts model and the Rasch Poisson-Gamma counts model incorporating several binary predictors for the difficulty para…
Locally -optimal Designs for a Wider Class of Non-linear Models on the -dimensional Ball with applications to logit and probit models
Martin Radloff, Rainer Schwabe
In this paper we extend the results of Radloff and Schwabe (2018), which could be applied for example to Poisson regression, negative binomial regression and proportional hazard mo…
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 Design in Hierarchical Models with application in Multi-center Trials
Maryna Prus, Norbert Benda, Rainer Schwabe
Hierarchical random effect models are used for different purposes in clinical research and other areas. In general, the main focus is on population parameters related to the expect…