seminars:stat:210506
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| + | In this | ||
| + | article of Huaihou Chen and Yuanjia Wang, they proposed penalized spline (P-spline)-based methods for | ||
| + | functional mixed effects models with varying coefficients. They decomposed | ||
| + | longitudinal outcomes as a sum of several terms: a population mean | ||
| + | function, covariateswith time-varying coefficients, | ||
| + | subject-specific random effects, and residual measurement error processes. | ||
| + | Proposed methods offer flexible estimation of both the population- and | ||
| + | subject-level curves. In addition, decomposing variability of the outcomes | ||
| + | as a between- and within-subject source is useful in identifying the | ||
| + | dominant variance component therefore optimally model a covariance | ||
| + | function.The benefit of the between- and within-subject covariance | ||
| + | decomposition is illustrated through an analysis of Berkeley growth data, | ||
| + | where they identified clearly distinct patterns of the between- and | ||
| + | within-subject covariance functions of children’s heights. | ||
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