Definition: Inverse general linear model
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The Book of Statistical Proofs ▷
Statistical Models ▷
Multivariate normal data ▷
Inverse general linear model ▷
Definition
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Metadata: ID: D161 | shortcut: iglm | author: JoramSoch | date: 2021-10-21, 15:31.
Definition: Let there be a general linear model of measured data $Y \in \mathbb{R}^{n \times v}$ in terms of the design matrix $X \in \mathbb{R}^{n \times p}$:
\[\label{eq:glm} Y = X B + E, \; E \sim \mathcal{MN}(0, V, \Sigma) \; .\]Then, a linear model of $X$ in terms of $Y$, under the assumption of \eqref{eq:glm}, is called an inverse general linear model.
- Soch J, Allefeld C, Haynes JD (2020): "Inverse transformed encoding models – a solution to the problem of correlated trial-by-trial parameter estimates in fMRI decoding"; in: NeuroImage, vol. 209, art. 116449, Appendix C; URL: https://www.sciencedirect.com/science/article/pii/S1053811919310407; DOI: 10.1016/j.neuroimage.2019.116449.
Metadata: ID: D161 | shortcut: iglm | author: JoramSoch | date: 2021-10-21, 15:31.