# S. Curtis

#### bisoreg

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Provides functions for fitting Bayesian monotonic regression models to data.

#### mcmcplots

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Functions for convenient plotting and viewing of MCMC output.

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In confirmatory factor analysis (CFA), structural constraints typically ensure that the model is identified up to all possible reflections, i.e., column sign changes of the matrix of loadings. Such reflection invariance is problematic for Bayesian CFA when the reflection modes are not well separated in the posterior distribution. Imposing rotational constraints -- fixing some loadings to be zero or positive in order to pick a factor solution that corresponds to one reflection mode -- may not provide a satisfactory solution for Bayesian CFA. The function 'relabel' uses the relabeling algorithm of Erosheva and Curtis to correct for sign invariance in MCMC draws from CFA models. The MCMC draws should come from Bayesian CFA models that are fit without rotational constraints.

#### eCAR

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Fits Leroux model in spectral domain to estimate causal spatial effect as detailed in Guan, Y; Page, G.L.; Reich, B.J.; Ventrucci, M.; Yang, S; (2020) <arXiv:2012.11767>. Both the parametric and semi-parametric models are available. The semi-parametric model relies on 'INLA'. The 'INLA' package can be obtained from <https://www.r-inla.org/>.

#### HDCurves

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A procedure that fits derivative curves based on a sequence of quotient differences. In a hierarchical setting the package produces estimates of subject-specific and group-specific derivative curves. In a non-hierarchical setting the package produces a single derivative curve.

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