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  "Title": "Statistical Tests and Graphics for Hardy-Weinberg Equilibrium",
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  "Date": "2025-09-09",
  "Authors@R": "c(person(\"Jan\", \"Graffelman\", role = c(\"aut\", \"cre\"), email = \"jan.graffelman@upc.edu\"),\nperson(\"Christopher\", \"Chang\", role = \"ctb\", email = \"chrchang523@gmail.com\"),\nperson(\"Xavi\", \"Puig\", role = \"ctb\", email = \"xavier.puig@upc.edu\"),\nperson(\"Jan\", \"Wigginton\", role = \"ctb\"),\nperson(\"Leonardo\", \"Ortoleva\", role = \"ctb\", email= \"leonardo.ortoleva@estudiantat.upc.edu\"),\nperson(\"William R.\",\"Engels\", role =  \"ctb\", email= \"wrengels@wisc.edu\"))",
  "Author": "Jan Graffelman [aut, cre], Christopher Chang [ctb], Xavi Puig\n[ctb], Jan Wigginton [ctb], Leonardo Ortoleva [ctb], William R.\nEngels [ctb]",
  "Maintainer": "Jan Graffelman <jan.graffelman@upc.edu>",
  "Description": "Contains tools for exploring Hardy-Weinberg equilibrium\n(Hardy, 1908; Weinberg, 1908) for bi and multi-allelic genetic\nmarker data. All classical tests (chi-square, exact,\nlikelihood-ratio and permutation tests) with bi-allelic\nvariants are included in the package, as well as functions for\npower computation and for the simulation of marker data under\nequilibrium and disequilibrium. Routines for dealing with\nmarkers on the X-chromosome are included (Graffelman & Weir,\n2016) <doi:10.1038/hdy.2016.20>, including Bayesian procedures.\nSome exact and permutation procedures also work with\nmulti-allelic variants. Special test procedures that jointly\naddress Hardy-Weinberg equilibrium and equality of allele\nfrequencies in both sexes are supplied, for the bi and\nmulti-allelic case. Functions for testing equilibrium in the\npresence of missing data by using multiple imputation are also\nprovided. Implements several graphics for exploring the\nequilibrium status of a large set of bi-allelic markers:\nternary plots with acceptance regions, log-ratio plots and Q-Q\nplots. The functionality of the package is explained in detail\nin a related JSS paper <doi:10.18637/jss.v064.i03>.",
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  "URL": "https://www.r-project.org, https://www-eio.upc.edu/~jan/",
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      "name": "TSIXTriAllelics",
      "title": "Tri-allelic polymorphisms on the X chromosome of the TSI population",
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  "_help": [
    {
      "page": "HardyWeinberg-package",
      "title": "Statistical Tests and Graphics for Hardy-Weinberg Equilibrium",
      "topics": [
        "HardyWeinberg-package",
        "HardyWeinberg"
      ]
    },
    {
      "page": "ABO1KG",
      "title": "Predicted ABO genotypes for the Expanded 1000 Genomes Project cohort",
      "topics": [
        "ABO1KG"
      ]
    },
    {
      "page": "af",
      "title": "Function to compute allele frequencies",
      "topics": [
        "af"
      ]
    },
    {
      "page": "AFtest",
      "title": "Exact test of equality of allele frequencies for males and females",
      "topics": [
        "AFtest"
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    },
    {
      "page": "afx",
      "title": "Function to compute X-chromosomal allele frequencies",
      "topics": [
        "afx"
      ]
    },
    {
      "page": "agcounts",
      "title": "Calculate allele and genotype counts for X-chromosomal markers",
      "topics": [
        "agcounts"
      ]
    },
    {
      "page": "alleles",
      "title": "Extract alleles",
      "topics": [
        "alleles"
      ]
    },
    {
      "page": "AllelesToTriangular",
      "title": "Calculate triangular genotype matrix for vector(s) of alleles.",
      "topics": [
        "AllelesToTriangular"
      ]
    },
    {
      "page": "Alzheimer",
      "title": "Genotype frequencies for 70 SNPs related to Alzheimer's disease",
      "topics": [
        "Alzheimer"
      ]
    },
    {
      "page": "CEUchr22",
      "title": "Biallelic polymorphisms sampled from chromosome 22 of the CEU population of the 1000 Genomes project.",
      "topics": [
        "CEUchr22"
      ]
    },
    {
      "page": "dgraffelmanweir.bi",
      "title": "Calculate Graffelman-Weir exact density for bi-allelic X-chromosomal variant",
      "topics": [
        "dgraffelmanweir.bi"
      ]
    },
    {
      "page": "dlevene",
      "title": "Calculate Levene's exact density for k alleles",
      "topics": [
        "dlevene"
      ]
    },
    {
      "page": "dlevene.bi",
      "title": "Calculate Levene's density for a bi-allelic variant",
      "topics": [
        "dlevene.bi"
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    },
    {
      "page": "EAFExact",
      "title": "Exact test for equality of allele frequencies in males and females",
      "topics": [
        "EAFExact"
      ]
    },
    {
      "page": "fisherz",
      "title": "Fisher's z transformation",
      "topics": [
        "fisherz"
      ]
    },
    {
      "page": "fold",
      "title": "Fold a square matrix",
      "topics": [
        "fold"
      ]
    },
    {
      "page": "GenerateSamples",
      "title": "Generate genotypic compositions",
      "topics": [
        "GenerateSamples"
      ]
    },
    {
      "page": "genlabels",
      "title": "Label genotype counts of a vector or matrix",
      "topics": [
        "genlabels"
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    },
    {
      "page": "Glyoxalase",
      "title": "Glyoxalase genotype data",
      "topics": [
        "Glyoxalase"
      ]
    },
    {
      "page": "HapMapCHBChr1",
      "title": "Genotype frequencies for 225 SNPs on chromosome 1 of the CHB population.",
      "topics": [
        "HapMapCHBChr1"
      ]
    },
    {
      "page": "he",
      "title": "Calculate expected heterozygosity (He)",
      "topics": [
        "he"
      ]
    },
    {
      "page": "HWABO",
      "title": "Estimate allele frequencies and test for Hardy-Weinberg equilibrium with a tri-allelic ABO system.",
      "topics": [
        "HWABO"
      ]
    },
    {
      "page": "HWAIC",
      "title": "Compute Akaike's Information Criterion (AIC) for HWP and EAF models",
      "topics": [
        "HWAIC"
      ]
    },
    {
      "page": "HWAlltests",
      "title": "Perform all tests for Hardy-Weinberg equilibrium",
      "topics": [
        "HWAlltests"
      ]
    },
    {
      "page": "HWAlr",
      "title": "Compute additive log-ratio transformation",
      "topics": [
        "HWAlr"
      ]
    },
    {
      "page": "HWAlrPlot",
      "title": "Plot genetic markers in additive log-ratio coordinates",
      "topics": [
        "HWAlrPlot"
      ]
    },
    {
      "page": "HWBalance",
      "title": "Compositional Statistic and Test for Hardy-Weinberg equilibrium",
      "topics": [
        "HWBalance"
      ]
    },
    {
      "page": "HWChisq",
      "title": "Chi square tests for Hardy Weinberg equilibrium",
      "topics": [
        "HWChisq"
      ]
    },
    {
      "page": "HWChisqMat",
      "title": "Matrix version of HWChisq",
      "topics": [
        "HWChisqMat"
      ]
    },
    {
      "page": "HWChisqStats",
      "title": "Fast computation of chi-square statistics for Hardy-Weinberg equilibrium",
      "topics": [
        "HWChisqStats"
      ]
    },
    {
      "page": "HWClo",
      "title": "Convert genotype counts to compositions",
      "topics": [
        "HWClo"
      ]
    },
    {
      "page": "HWClr",
      "title": "Compute the centred log-ratio transformation",
      "topics": [
        "HWClr"
      ]
    },
    {
      "page": "HWClrPlot",
      "title": "Plot genetic markers in centred log-ratio coordinates",
      "topics": [
        "HWClrPlot"
      ]
    },
    {
      "page": "HWCondProbAB",
      "title": "Compute probability of a genotypic sample",
      "topics": [
        "HWCondProbAB"
      ]
    },
    {
      "page": "HWD",
      "title": "Compute disequilibrium statistic D",
      "topics": [
        "HWD"
      ]
    },
    {
      "page": "HWData",
      "title": "Generate genetic marker data in or out of Hardy-Weinberg Equilibrium",
      "topics": [
        "HWData"
      ]
    },
    {
      "page": "HWEM",
      "title": "Estimation of contributions of two populations to a sample of genotype frequencies with the EM algorithm.",
      "topics": [
        "HWEM"
      ]
    },
    {
      "page": "HWExact",
      "title": "Exact test for Hardy-Weinberg equilibrium",
      "topics": [
        "HWExact"
      ]
    },
    {
      "page": "HWExactMat",
      "title": "Matrix version of HWExact",
      "topics": [
        "HWExactMat"
      ]
    },
    {
      "page": "HWExactPrevious",
      "title": "Exact test for Hardy-Weinberg equilibrium",
      "topics": [
        "HWExactPrevious"
      ]
    },
    {
      "page": "HWExactStats",
      "title": "Computation of Exact p-values for Hardy-Weinberg equilibrium for sets of SNPs",
      "topics": [
        "HWExactStats"
      ]
    },
    {
      "page": "HWf",
      "title": "Computation of inbreeding coefficient",
      "topics": [
        "HWf"
      ]
    },
    {
      "page": "HWGenotypePlot",
      "title": "Scatter plot of the genotype frequencies",
      "topics": [
        "HWGenotypePlot"
      ]
    },
    {
      "page": "HWIlr",
      "title": "Compute isometric log ratio coordinates.",
      "topics": [
        "HWIlr"
      ]
    },
    {
      "page": "HWIlrPlot",
      "title": "Plot bi-allelic genetic markers in isometric log ratio coordinates",
      "topics": [
        "HWIlrPlot"
      ]
    },
    {
      "page": "HWLindley",
      "title": "Calculate a posteriori density for Lindley's alpha",
      "topics": [
        "HWLindley"
      ]
    },
    {
      "page": "HWLindley.cri",
      "title": "Calculate a credible interval for Lindley's alpha for HWE,",
      "topics": [
        "HWLindley.cri"
      ]
    },
    {
      "page": "HWLRAllTests",
      "title": "Perform most relevant likelihood ratio test for Hardy-Weinberg equilibrium and equality of allele frequencies",
      "topics": [
        "HWLRAllTests"
      ]
    },
    {
      "page": "HWLratio",
      "title": "Likelihood ratio test for Hardy Weinberg equilibrium",
      "topics": [
        "HWLratio"
      ]
    },
    {
      "page": "HWLRtest",
      "title": "Perform likelihood ratio test comparing two nested scenarios for a bi-allelic genetic variant, distinguishing the two sexes.",
      "topics": [
        "HWLRtest"
      ]
    },
    {
      "page": "HWMissing",
      "title": "Test a bi-allelic marker for Hardy-Weinberg equilibrium in the presence of missing genotype information.",
      "topics": [
        "HWMissing"
      ]
    },
    {
      "page": "HWNetwork",
      "title": "Autosomal and X-chromosomal exact tests for HWE via a Network algorithm",
      "topics": [
        "HWNetwork"
      ]
    },
    {
      "page": "HWPerm",
      "title": "Permutation test for Hardy-Weinberg equilibrium",
      "topics": [
        "HWPerm"
      ]
    },
    {
      "page": "HWPerm.mult",
      "title": "Permutation tests fo variants with multiple alleles",
      "topics": [
        "HWPerm.mult"
      ]
    },
    {
      "page": "HWPosterior",
      "title": "Calculation of posterior probabilities and Bayes factors for Hardy-Weinberg tests at X-chromosomal variants.",
      "topics": [
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      "source": "HardyWeinbergExampleSession.Rmd",
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      "title": "Example session with the HardyWeinberg package",
      "author": "Jan Graffelman - Dpt. of Statistics, Universitat Politecnica de Catalunya",
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      "headings": [
        "Introduction",
        "1. Installation<a name=\"introduction\"></a>",
        "2. A single biallelic marker<a name=\"single\"></a>",
        "2.1. Genotype and allele counts<a name=\"counts\"></a>",
        "2.2. Testing for Hardy-Weinberg equilibrium<a name=\"testing\"></a>",
        "2.2.1. Autosomal markers<a name=\"autosomal\"></a>",
        "Chi-square test",
        "LRT test",
        "Exact test",
        "Permutation test",
        "Bayesian procedure",
        "2.2.2. X-chromosomal markers<a name=\"xchromosome\"></a>",
        "Likelihood ratio test",
        "2.3. Special topics<a name=\"special\"></a>",
        "2.3.1. Missing genotype data<a name=\"missing\"></a>",
        "2.3.2. Power computation<a name=\"power\"></a>",
        "2.3.3. Population substructure<a name=\"substructure\"></a>",
        "Testing across strata",
        "Contributions in mixed samples",
        "2.3.4 Scenario testing under stratification by gender<a name=\"scenario\"></a>",
        "3. Sets of biallelic markers<a name=\"setsbiallelic\"></a>",
        "3.1. Genotype count patterns<a name=\"patterns\"></a>",
        "3.2. Testing HWE with many variants<a name=\"manybiallelics\"></a>",
        "3.3. Visualising HWE test results<a name=\"visualising\"></a>",
        "3.3.1. Ternary diagrams<a name=\"ternary\"></a>",
        "3.3.2. QQ plots<a name=\"qqplot\"></a>",
        "3.4. Simulating biallelic marker data<a name=\"simulating\"></a>",
        "4. Multiallelic markers<a name=\"multiallelic\"></a>",
        "4.1. Triallelic variants<a name=\"triallelic\"></a>",
        "The ABO locus",
        "Triallelic variants",
        "4.2. Microsatellites (STRs)<a name=\"microsatellites\"></a>",
        "References"
      ],
      "created": "2024-04-01 02:38:44",
      "modified": "2024-04-01 02:38:44",
      "commits": 1
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      "title": "Exploring diallelic genetic markers: the \\pkg{HardyWeinberg} package",
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      "headings": [],
      "created": "2015-02-24 00:00:00",
      "modified": "2025-09-10 07:51:24",
      "commits": 20
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