1. Selection models for efficient two‐phase design of family studies
- Author
-
Richard J. Cook and Yujie Zhong
- Subjects
Statistics and Probability ,Optimal sampling ,Epidemiology ,Computer science ,Balanced sampling ,Simple random sample ,01 natural sciences ,Two phase design ,Copula (probability theory) ,010104 statistics & probability ,03 medical and health sciences ,Family studies ,0302 clinical medicine ,Research Design ,Statistics ,Humans ,030212 general & internal medicine ,0101 mathematics ,Budget constraint ,Sampling bias - Abstract
Family studies routinely employ biased sampling schemes in which individuals are randomly chosen from a disease registry and genetic and phenotypic data are obtained from their consenting relatives. We view this as a two-phase study and propose the use of an efficient selection model for the recruitment of families to form a phase II sample subject to budgetary constraints. Simple random sampling, balanced sampling and use of an approximately optimal selection model are considered where the latter is chosen to minimize the variance of parameters of interest. We consider the setting where family members provide current status data with respect to the disease and use copula models to address within-family dependence. The efficiency gains from the use of an optimal selection model over simple random sampling and balanced sampling schemes are investigated as is the robustness of optimal sampling to model misspecification. An application to a family study on psoriatic arthritis is given for illustration.
- Published
- 2020