Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/309911 
Year of Publication: 
2023
Citation: 
[Journal:] Statistical Papers [ISSN:] 1613-9798 [Volume:] 64 [Issue:] 4 [Publisher:] Springer [Place:] Berlin, Heidelberg [Year:] 2023 [Pages:] 1021-1040
Publisher: 
Springer, Berlin, Heidelberg
Abstract: 
In this paper the results of Radloff and Schwabe (Stat Papers 60:165–177, 2019) will be extended for a special class of symmetrical intensity functions. This includes binary response models with logit and probit link. To evaluate the position and the weights of the two non-degenerated orbits on the k -dimensional ball usually a system of three equations has to be solved. The symmetry allows to reduce this system to a single equation. As a further result, the number of support points can be reduced to the minimal number. These minimally supported designs are highly efficient. The results can be generalized to arbitrary ellipsoidal design regions.
Subjects: 
Binary response model
D-optimality
k-dimensional ball
Logit and probit model
Multiple regression model
Simplex
Persistent Identifier of the first edition: 
Creative Commons License: 
cc-by Logo
Document Type: 
Article
Document Version: 
Published Version

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