The total variance of a first order autoregressive AR(1) times eries is well known in timeseries literature. However, despite the increased use an d interest in two level AR(1) models, an equation for the total variance of these mode l does not exist. This paper presents an approximation of this total variance. It will be used to compute the unexplained and explained variance at each level of the model, the proportion of explained variance, and the intra-class correlation (ICC). The use of these variances and the ICC will be illustrated using an example concerning structured diary data about the positive affect of 96 married woman.

, , , ,
doi.org/10.1080/00273171.2017.1299616, hdl.handle.net/1765/98926
Multivariate Behavioral Research
Erasmus School of Social and Behavioural Sciences

Jongerling, J., & Hoijtink, H. (2017). Explained Variance and Intra-Class Correlation in a Two Level AR(1) Model. Multivariate Behavioral Research. doi:10.1080/00273171.2017.1299616