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  "Title": "Bayesian Analyses for One- and Two-Sample Inference and\nRegression Methods",
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  "Authors@R": "c(person(\"Daniel K.\", \"Sewell\", , \"daniel-sewell@uiowa.edu\",\nrole = c(\"aut\", \"cre\",\"cph\"),\ncomment = c(ORCID = \"0000-0002-9238-4026\") ),\nperson(\"Alan\", \"Arakkal\", , \"alan-arakkal@uiowa.edu\",\nrole = c(\"aut\"),\ncomment = c(ORCID = \"0000-0002-7001-493X\") ))",
  "Maintainer": "Daniel K. Sewell <daniel-sewell@uiowa.edu>",
  "Description": "Perform fundamental analyses using Bayesian parametric and\nnon-parametric inference (regression, anova, 1 and 2 sample\ninference, non-parametric tests, etc.).  (Practically) no\nMarkov chain Monte Carlo (MCMC) is used; all exact finite\nsample inference is completed via closed form solutions or else\nthrough posterior sampling automated to ensure precision in\ninterval estimate bounds. Diagnostic plots for model\nassessment, and key inferential quantities (point and interval\nestimates, probability of direction, region of practical\nequivalence, and Bayes factors) and model visualizations are\nprovided. Bayes factors are computed either by the Savage\nDickey ratio given in Dickey (1971)\n<doi:10.1214/aoms/1177693507> or by Chib's method as given in\n<doi:10.1080/01621459.1995.10476635>. Interpretations are from\nKass and Raftery (1995) <doi:10.1080/01621459.1995.10476572>.\nROPE bounds are based on discussions in Kruschke (2018)\n<doi:10.1177/2515245918771304>. Methods for determining the\nnumber of posterior samples required are described in Doss et\nal. (2014) <doi:10.1214/14-EJS957>. Bayesian model averaging is\ndone in part by Feldkircher and Zeugner (2015)\n<doi:10.18637/jss.v068.i04>. Methods for contingency table\nanalysis is described in Gunel et al. (1974)\n<doi:10.1093/biomet/61.3.545>. Variational Bayes (VB) methods\nare described in Salimans and Knowles (2013)\n<doi:10.1214/13-BA858>. Mediation analysis uses the framework\ndescribed in Imai et al. (2010) <doi:10.1037/a0020761>. The\nloss-likelihood bootstrap used in the non-parametric regression\nmodeling is described in Lyddon et al. (2019)\n<doi:10.1093/biomet/asz006>. Non-parametric survival methods\nare described in Qing et al. (2023) <doi:10.1002/pst.2256>.\nMethods used for the Bayesian Wilcoxon signed-rank analysis is\ngiven in Chechile (2018) <doi:10.1080/03610926.2017.1388402>\nand for the Bayesian Wilcoxon rank sum analysis in Chechile\n(2020) <doi:10.1080/03610926.2018.1549247>.  Correlation\nanalysis methods are carried out by Barch and Chechile (2023)\n<doi:10.32614/CRAN.package.DFBA>, and described in Lindley and\nPhillips (1976) <doi:10.1080/00031305.1976.10479154> and\nChechile and Barch (2021) <doi:10.1016/j.jmp.2021.102638>.  See\nalso Chechile (2020, ISBN: 9780262044585).",
  "License": "GPL (>= 3)",
  "Encoding": "UTF-8",
  "Roxygen": "list(markdown = TRUE)",
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  "URL": "https://github.com/dksewell/bayesics",
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  "Repository": "https://dksewell.r-universe.dev",
  "Date/Publication": "2026-10-14 17:05:36 UTC",
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  "Author": "Daniel K. Sewell [aut, cre, cph] (ORCID:\n<https://orcid.org/0000-0002-9238-4026>),\nAlan Arakkal [aut] (ORCID: <https://orcid.org/0000-0002-7001-493X>)",
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    "credint",
    "DIC",
    "find_beta_parms",
    "find_invgamma_parms",
    "frac_bayes_factors",
    "get_posterior_draws",
    "glm_b",
    "heteroscedasticity_test",
    "independence_b",
    "lm_b",
    "mediate_b",
    "negbinom",
    "np_glm_b",
    "plot_bands",
    "plot_dx",
    "poisson_test_b",
    "prop_test_b",
    "sign_test_b",
    "Surv",
    "survfit_b",
    "t_test_b",
    "WAIC",
    "wilcoxon_test_b"
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      "page": "aov_b",
      "title": "Analysis of Variance Using Bayesian Methods",
      "topics": [
        "aov_b"
      ]
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    {
      "page": "b_procedure-class",
      "title": "'b_procedure' Objects",
      "topics": [
        "b_procedure-class"
      ]
    },
    {
      "page": "bayes_factors",
      "title": "Bayes Factors",
      "topics": [
        "bayes_factors",
        "bayes_factors.glm_b",
        "bayes_factors.lm_b",
        "bayes_factors.survfit_b"
      ]
    },
    {
      "page": "bayes_pvalue",
      "title": "Bayesian P-values for Regression Models",
      "topics": [
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        "bayes_pvalue.aov_b",
        "bayes_pvalue.lm_b"
      ]
    },
    {
      "page": "bma_inference",
      "title": "Bayesian Model Averaging",
      "topics": [
        "bma_inference"
      ]
    },
    {
      "page": "case_control_b",
      "title": "Case-Control Analysis",
      "topics": [
        "case_control_b"
      ]
    },
    {
      "page": "chisq_test_b",
      "title": "Test of Independence for 2-way Contingency Tables",
      "topics": [
        "chisq_test_b",
        "independence_b"
      ]
    },
    {
      "page": "coef",
      "title": "Coefficient Extraction for 'bayesics' Objects",
      "topics": [
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        "coef.aov_b",
        "coef.lm_b"
      ]
    },
    {
      "page": "cor_test_b",
      "title": "Test for Association/Correlation Between Paired Samples",
      "topics": [
        "cor_test_b",
        "cor_test_b.default",
        "cor_test_b.formula"
      ]
    },
    {
      "page": "credint",
      "title": "Credible Intervals for Model Parameters",
      "topics": [
        "credint",
        "credint.aov_b",
        "credint.lm_b"
      ]
    },
    {
      "page": "find_beta_parms",
      "title": "Find Parameters for Beta Prior",
      "topics": [
        "find_beta_parms"
      ]
    },
    {
      "page": "find_invgamma_parms",
      "title": "Find Parameters for Inverse Gamma Prior",
      "topics": [
        "find_invgamma_parms"
      ]
    },
    {
      "page": "frac_bayes_factors",
      "title": "Fractional Bayes Factors",
      "topics": [
        "frac_bayes_factors"
      ]
    },
    {
      "page": "get_posterior_draws",
      "title": "Get Posterior Samples",
      "topics": [
        "get_posterior_draws",
        "get_posterior_draws.aov_b",
        "get_posterior_draws.lm_b"
      ]
    },
    {
      "page": "glm_b",
      "title": "Bayesian Generalized Linear Models",
      "topics": [
        "glm_b"
      ]
    },
    {
      "page": "heteroscedasticity_test",
      "title": "Test for Heteroscedasticity in AOV Models",
      "topics": [
        "heteroscedasticity_test",
        "var_test_b"
      ]
    },
    {
      "page": "IC",
      "title": "Compute DIC or WAIC",
      "topics": [
        "DIC",
        "DIC.aov_b",
        "DIC.lm_b",
        "IC",
        "WAIC",
        "WAIC.aov_b",
        "WAIC.lm_b"
      ]
    },
    {
      "page": "lm_b",
      "title": "Bayesian Linear Models",
      "topics": [
        "lm_b"
      ]
    },
    {
      "page": "lm_b-class",
      "title": "'lm_b' Objects",
      "topics": [
        "lm_b-class"
      ]
    },
    {
      "page": "logLik",
      "title": "Extract Log-Likelihood",
      "topics": [
        "logLik.lm_b"
      ]
    },
    {
      "page": "mediate_b",
      "title": "Mediation using Bayesian Methods",
      "topics": [
        "mediate_b"
      ]
    },
    {
      "page": "negbinom",
      "title": "Negative-Binomial Family",
      "topics": [
        "negbinom"
      ]
    },
    {
      "page": "np_glm_b",
      "title": "Non-parametric Linear Models",
      "topics": [
        "np_glm_b"
      ]
    },
    {
      "page": "plot",
      "title": "Plots 'bayesics' Objects.",
      "topics": [
        "plot",
        "plot.b_procedure",
        "plot.lm_b",
        "plot.mediate_b",
        "plot.survfit_b"
      ]
    },
    {
      "page": "plot_bands",
      "title": "Plot Credible and Prediction Bands",
      "topics": [
        "plot_bands",
        "plot_bands.aov_b",
        "plot_bands.lm_b"
      ]
    },
    {
      "page": "plot_dx",
      "title": "Diagnostic Plots for Bayesian Regression Objects",
      "topics": [
        "plot_dx",
        "plot_dx.aov_b",
        "plot_dx.lm_b",
        "plot_dx.mediate_b"
      ]
    },
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      "page": "poisson_test_b",
      "title": "Poisson Procedures",
      "topics": [
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      ]
    },
    {
      "page": "predict",
      "title": "Predict Method for 'bayesics' Model Fits",
      "topics": [
        "predict.aov_b",
        "predict.lm_b"
      ]
    },
    {
      "page": "print",
      "title": "Print 'bayesics' Objects.",
      "topics": [
        "print",
        "print.aov_b",
        "print.b_procedure",
        "print.lm_b",
        "print.mediate_b",
        "print.survfit_b"
      ]
    },
    {
      "page": "prop_test_b",
      "title": "Binomial Procedures",
      "topics": [
        "prop_test_b"
      ]
    },
    {
      "page": "sign_test_b",
      "title": "Paired Sign Test",
      "topics": [
        "sign_test_b"
      ]
    },
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      "title": "Summarizing 'bayesics' Fits",
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        "summary",
        "summary.aov_b",
        "summary.b_procedure",
        "summary.lm_b",
        "summary.mediate_b",
        "summary.survfit_b"
      ]
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      "title": "Create a Survival Object",
      "topics": [
        "Surv"
      ]
    },
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      "page": "survfit_b",
      "title": "Create Survival Curves",
      "topics": [
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      "title": "Calculate Posterior Variance-Covariance Matrix for a Bayesian Fitted Model Object",
      "topics": [
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        "vcov.lm_b"
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    {
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      "title": "Bayesian Wilcoxon Rank Sum (aka Mann-Whitney U) and Signed Rank Analyses",
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      ]
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