Response to Oud & Folmer: Randomness and Residuals

Abstract

This article presents our response to Oud and Folmer's “Modeling Oscillation, Approximately or Exactly?” (2011), which criticizes aspects of our article, “Latent Differential Equation Modeling of Self-Regulatory and Coregulatory Affective Processes” (2011). In this response, we present a conceptual explanation of the derivative-based estimation that we implemented in our original article, as well as the exact discrete model promoted by Oud & Folmer. We describe relevant differences between each of the two methods, highlight some of their benefits and limitations, and offer justifications for our choice.