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The main estimator is ECM\n(ecm(); Meng and Rubin, 1993, ):\none conditional maximization per block of parameters,\nPolya-Gamma bounds for logistic likelihoods (Polson, Scott and\nWindle, 2013, ), adaptive or\nBock-Aitkin quadrature (Bock and Aitkin, 1981,\n) with normal-linear latent variables\nintegrated exactly, and Louis' standard errors; quantile models\nmaximize the asymmetric Laplace working likelihood, with\nsandwich standard errors. The same steps drive Gibbs sampling\n(gibbs(); conjugate updates and Metropolis-adjusted Langevin\nsteps), with samplers in C++ ('RcppArmadillo') that port the\n'Julia' package 'ExtendedRtIrtModeling.jl' (its function names\nare kept as aliases). Both estimators have a check:\ncheck_ecm(), and check_sampler() with the Geweke (2004,\n) test and simulation-based\ncalibration. equations() and algorithm() write out the model\nand every step, before or after fitting.", "License": "GPL-3", "URL": "https://github.com/jiewenTsai/birtRcpp,\nhttps://github.com/jiewenTsai/birtExamples", "BugReports": "https://github.com/jiewenTsai/birtRcpp/issues", "Encoding": "UTF-8", "VignetteBuilder": "knitr", "Config/testthat/edition": "3", "Roxygen": "list(markdown = TRUE)", "RoxygenNote": "7.3.2", "Repository": "https://jiewentsai.r-universe.dev", "Date/Publication": "2026-10-29 10:35:20 UTC", "RemoteUrl": "https://github.com/jiewenTsai/birtRcpp", "RemoteRef": "HEAD", "RemoteSha": "fa2e3dc270d1bc47d98979efcbfcb071f010918a", "NeedsCompilation": "yes", "Packaged": { "Date": "2026-10-31 18:57:10 UTC", "User": "root" }, "Author": "Jie-Wen Tsai [aut, cre]", "Maintainer": "Jie-Wen Tsai ", "_user": "jiewentsai", "_type": "src", "_file": 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