2 problems

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Conjecture on one-point designs for the quantitative component
One-point quantitative-design conjecture. The determinant $\det(\mathbf{M}(\bar{\xi}_{1;\mathbf{d}}\otimes\xi_2))$ will be maximized by a marginal one-point design
Conjectureopenchoice-models optimal-design probit-modelsarXiv posted 3 days ago
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Conjecture on balanced attribute differences in optimal probit choice designs
Balanced-orbit conjecture. The result that the optimal orbit balances, as far as possible, the numbers of attributes in which any two alternatives differ will be valid for any numb…
Conjectureopenchoice-models optimal-design probit-modelsarXiv posted 3 days ago

Conjecture on one-point designs for the quantitative component