  We study the design of contracts that incentivize a researcher to conduct a
costly experiment, extending the work of Yoder (2022) from binary states to a
general state space. The cost is private information of the researcher. When
the experiment is observable, we find the optimal contract and show that higher
types choose more costly experiments, but not necessarily more Blackwell
informative ones. When only the experiment result is observable, the principal
can still achieve the same optimal outcome if and only if a certain
monotonicity condition with respect to types holds. Our analysis demonstrates
that the general case is qualitatively different than the binary one, but that
the contracting problem remains tractable.
