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20182022
most citedOptimal designs for two-level main effects models on a restricted design region

4 citations · 15 across the 6 of their papers we have counts for

collaborators

7 papers

stat.ME2022★ 2 cited

Optimal design of the Wilcoxon-Mann-Whitney-test

Paul-Christian Bürkner, Philipp Doebler, Heinz Holling

In scientific research, many hypotheses relate to the comparison of two independent groups. Usually, it is of interest to use a design (i.e., the allocation of sample sizes and…

math.ST2022★ 1 cited

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…

stat.ME2020★ 3 cited

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…

math.ST2019★ 2 cited

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…

stat.ME2018★ 3 cited

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…

math.ST2018★ 4 cited

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.…

math.ST2018

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…