Rollout designs for lump-sum data

Qunzhi Xu, Hongzhen Tian, Ananda Sarkar and Yajun Mei

Journal of Applied Statistics, 2025, vol. 52, issue 9, 1777-1790

Abstract: This work studies rollout design problems with a focus of suitable choices of rollout rate under the standard Type I and Type II error probabilities control framework. The main challenge of rollout design is that data is often observed in a lump-sum manner from a spatio-temporal point of view: (1) temporally, only the sum of data in a given sliding time window can be observed; (2) spatially, there are two subgroups for the data at each time step: control and treatment, but one can only observe the total values instead of individual values from each subgroup. We develop rollout tests of lump-sum data under both fixed-sample-size and sequential settings, subject to the constraints on Type I and Type II error probabilities. Numerical studies are conducted to validate our theoretical results.

Date: 2025
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DOI: 10.1080/02664763.2024.2440031

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