# Documenting example datasets
#' Example SpaceMix dataset
#'
#' Example genetic data and geographic metadata
#' for running a SpaceMix analysis
#'
#' @format A list with 3 elements
#' \describe{
#' \item{allele.counts}{
#' matrix of allele counts with
#' \code{nrow} = number of samples and
#' \code{ncol} = number of loci}
#' \item{sample.sizes}{
#' matrix of sample sizes with
#' \code{nrow} = number of samples and
#' \code{ncol} = number of loci}
#' \item{population.coordinates}{
#' matrix of longitude and latitude with
#' \code{nrow} = number of samples and
#' \code{ncol} = 2}
#' }
"spacemix.example.dataset"
#' Example model adequacy dataset
#'
#' Example output of processed (mean-centered
#' and normalized) allele frequency data produced
#' by running a SpaceMix analysis
#'
#' @format A list with 5 elements
#' \describe{
#' \item{mean.sample.sizes}{
#' vector of mean sample sizes for all samples
#' with \code{length} = number of samples}
#' \item{sample.frequencies}{
#' matrix of sample frequencies
#' (counts/sample.sizes) with
#' \code{nrow} = number of samples and
#' \code{ncol} = number of loci.}
#' \item{normalized.sample.frequencies}{
#' matrix of sample frequencies
#' normalized by mean.f * (1-mean.f),
#' where mean.f at a locus is the
#' mean alelle frequency at that locus}
#' \item{mean.centered.sample.frequencies}{
#' matrix of sample frequencies with the
#' mean allele frequency at each locus
#' subtracted from all entries at that locus}
#' \item{mean.centered.normalized.sample.frequencies}{
#' matrix of sample frequencies that is
#' both normalized and mean-centered as described above.}
#' }
"MCN.frequencies.list"
#' Example location data
#'
#' Example location data for visualizing
#' how a Procrustes superimposition works
#'
#' @format A list with 5 elements,
#' where \code{K} = the number of samples
#' \describe{
#' \item{geogen.coords}{
#' a matrix (2 x \code{K}) of geogenetic location coordinates
#' generated for each sample in a SpaceMix run}
#' \item{admix.coords}{
#' a matrix (2 x \code{K}) of admixture source location
#' coordinates generated for each sample in a SpaceMix run}
#' \item{sample.coords}{
#' a matrix (\code{K} x 2) of geographic sampling
#' coordinates for the samples in the dataset}
#' \item{pop.colors}{
#' a vector (\code{length = K}) of colors for
#' pretty plotting of sample coordinates}
#' \item{admix.colors}{
#' a vector (\code{length = K}) of colors for
#' admixture sources, generated using
#' \code{fade.admixture.source.points},
#' which makes the opacity of the \code{pop.colors}
#' proportional to the admixture proportion for each sample}
#' }
"spacemix.location.data"
#' Example spacemix.map.list object
#'
#' Example list generated by \code{make.spacemix.map.list}
#' to be used in visualizing the output of a SpaceMix analysis
#'
#' @format A list with 15 elements,
#' using \code{K} as the number of samples
#'
#' \describe{
#' \item{MCMC.output}{
#' This is a list of the output of the SpaceMix analysis,
#' containing all the elements of the output .Robj file.}
#' \item{geographic.locations}{
#' This is a \code{K} x 2 matrix in which the ith row
#' gives the geographic coordinates (i.e., longitude and
#' latitude) of the ith sample.}
#' \item{name.vector}{
#' This is a character vector of length \code{K} in which each
#' element gives the name of the corresponding sample.}
#' \item{color.vector}{
#' This is a vector of colors of length \code{K}
#' in which each element gives the color in which
#' the corresponding sample should be plotted.}
#' \item{quantile}{
#' This value determines the size of the credible
#' interval calculated for model parameters.}
#' \item{best.iter}{
#' This is the index of the sampled MCMC iteration with the largest
#' posterior probability. We refer to parameter estimates in that iteration as
#' the maximum a posteriori (MAP) estimates.}
#' \item{admix.source.color.vector}{
#' This is a vector of faded colors (the same as given
#' in \code{color.vector}), for which the extent of fading is determined by the
#' admixture proportion. These colors, for which the opacity is proportional
#' to the estimated admixture proportion, are used in plotting the admixture
#' sources and admixture arrows.}
#' \item{k}{
#' This is the number of samples in the analysis.}
#' \item{MAPP.geogen.coords}{
#' This is the Procrustes-transformed MAP geogenetic location
#' coordinates.}
#' \item{MAPP.admix.source.coords}{
#' This is the Procrustes-transformed MAP admixture source
#' location coordinates.}
#' \item{procrustes.coord.posterior.lists}{
#' This is a list of the Procrustes-transformed
#' location parameter coordinates.}
#' \itemize{
#' \item geogen.coords.list A list of length N, where I is the number of sampled
#' MCMC iterations. The ith element of the list contains the Procrustes-
#' transformed geogenetic location coordinates in the ith sampled iteration
#' of the MCMC. As a whole, this list represents the posterior distribution
#' of geogenetic location parameters for all samples.
#' \item admix.source.coords.list A list of length N, where I is the number of sampled
#' MCMC iterations. The ith element of the list contains the Procrustes-
#' transformed admixture source location coordinates in the ith sampled iteration
#' of the MCMC. As a whole, this list represents the posterior distribution
#' of admixture source location parameters for all samples.
#' }
#' \item{pp.geogen.location.matrices}{
#' A list of length \code{K} in which the ith element is the Procrustes-
#' transformed posterior distribution of geogenetic location coordinates for the ith sample.}
#' \item{pp.admix.source.location.matrices}{
#' A list of length \code{K} in which the ith element is the Procrustes-
#' transformed posterior distribution of admixture source location coordinates for the ith sample.}
#' \item{pp.geogen.ellipses}{
#' A list of length \code{K} in which the ith element gives the boundaries of the
#' 95\% credible ellipse of the Procrustes-transformed posterior distribution of geogenetic
#' location coordinates of the ith sample.}
#' \item{pp.admix.source.ellipses}{
#' A list of length \code{K} in which the ith element gives the boundaries of the
#' 95\% credible ellipse of the Procrustes-transformed posterior distribution of admixture source
#' location coordinates of the ith sample.}
#' }
"example.spacemix.map.list"
#' Example SpaceMix output object
#'
#' List of the objects output by a SpaceMix analysis
#'
#' @format A list with 22 elements,
#' using \code{K} as the number of samples
#'
#' \describe{
#' \item{a0}{
#' The posterior distribution on parameter \eqn{\alpha_0}.}
#' \item{a1}{
#' The posterior distribution on parameter \eqn{\alpha_1}.}
#' \item{a2}{
#' The posterior distribution on parameter \eqn{\alpha_2}.}
#' \item{accept_rates}{
#' The list of acceptance rates of different parameters over the course of the MCMC.
#' The total number of elements in each element of the list is equal to the number of sampled
#' MCMC iterations (i.e., the total number of generations divided by the sample frequency).}
#' \item{admix.proportions}{
#' The posterior distribution on admixture proportions. This is a matrix
#' in which the \eqn{i}th column is the vector of estimated admixture proportions from the
#' \eqn{i}th sampled generation of the MCMC.}
#' \item{diagns}{
#' The list of acceptance rates for each parameter over the last 50 MCMC iterations.}
#' \item{distances}{
#' The list of pairwise distances between all samples and their sources of admixture over the
#' course of the MCMC. Each element of the list is a pairwise distance matrix of dimension \eqn{2*K} by
#' \eqn{2*K}. The total number of elements in the list is equal to the number of sampled MCMC
#' iterations (i.e., the total number of generations divided by the sample frequency).}
#' \item{last.params}{
#' The list of values passed between each iteration of the MCMC,
#' sampled at the last iteration of the MCMC (i.e., the location in parameter space from the
#' very end of the analysis, along with other quantities passed between parameter update functions).}
#' \item{LnL_freqs}{
#' The vector of likelihood values sampled over the course of the MCMC.}
#' \item{lstps}{
#' A list giving the log of the scale of the tuning parameters, updated via an
#' adaptive MCMC procedure, for each model parameter. The total number of elements in each
#' element of the list is equal to the number of sampled MCMC iterations
#' (i.e., the total number of generations divided by the sample frequency).}
#' \item{ngen}{
#' The user-specified number of generations of the MCMC.}
#' \item{nugget}{
#' The posterior distribution on nugget parameters. This is a matrix
#' in which the \eqn{i}th column is the vector of estimated nuggets from the
#' \eqn{i}th sampled generation of the MCMC.}
#' \item{population.coordinates}{
#' The posterior distribution on sample coordinates in geogenetic space. Each
#' element of the list is a matrix with 2 columns (Eastings and Northings, which correspond to Long and Lat
#' in the geogenetic space and \eqn{2*K} rows. The first \eqn{K} rows correspond to the geogenetic
#' coordinates of the samples themselves, and the \eqn{K+1}:\eqn{2*K}
#' rows give the geogenetic coordinates of the source of admixture for each sample.}
#' \item{Prob}{
#' The vector of posterior probability values sampled over the course of the MCMC.}
#' \item{samplefreq}{
#' The number of iterations between each time the MCMC is sampled. A higher frequency (lower \code{samplefreq})
#' result in more sampled iterations per analysis, with a higher autocorrelation between sampled parameter estimates.}
#' \item{source.spatial.prior.scale}{
#' The variance of the prior distribution on admixture source geogenetic locations.}
#' \item{target.spatial.prior.scale}{
#' The variance of the prior distribution on sample geogenetic locations.}
#' \item{transformed.covariance.list}{
#' The posterior distribution of the mean-centered and projected parametric covariance matrix.
#' This is of dimension \eqn{K-1} by \eqn{K-1}.}
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