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Correction to: Dynamic linear models guide design and analysis of microbiota studies within artificial human guts

Correction

Following publication of the original article [1], the authors noticed an error in the presentation of equations in the PDF version.

On page 10:

Equation 3 reads as:

$$ {\eta}_k={F}_k^{{\theta^{\hbox{'}}}_k+{\nu}_k,\kern0.5em {\nu}_k\sim N\left(0,\kern0.5em {V}_k\right)} $$

but should read as:

$$ {\eta}_k={F}_k^{\hbox{'}}{\theta}_k+{\nu}_k,\kern0.5em {\upsilon}_k\sim N\left(0,{V}_k\right) $$
(3)

On page 12:

The equation reads as:

$$ {\eta}_k={\left[{I}_R\otimes F\right.}_k^{{}^{\hbox{'}}\Big]{\theta}_k+{\nu}_k,\kern0.5em {\nu}_k\sim N\left(0,\left[{I}_R\otimes \kern0.5em {V}_k\right]\right)} $$

but should read as:

$$ {\displaystyle \begin{array}{l}{\eta}_k=\left[{I}_R\otimes {F}_k^{\hbox{'}}\right]{\theta}_k+{\nu}_k,\kern0.5em {\nu}_k\sim N\left(0,\left[{I}_R\otimes \kern0.5em {V}_k\right]\right)\\ {}\end{array}} $$

The original article has been updated.

Reference

  1. 1.

    Silverman JD, Durand HK, Bloom RJ, Mukherjee S, David LA. Dynamic linear models guide design and analysis of microbiota studies within artificial human guts. Microbiome. 2018;6:202.

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Correspondence to Lawrence A. David.

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Silverman, J.D., Durand, H.K., Bloom, R.J. et al. Correction to: Dynamic linear models guide design and analysis of microbiota studies within artificial human guts. Microbiome 6, 212 (2018). https://doi.org/10.1186/s40168-018-0601-6

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