{
  "_id": "6a1e86dc1d7bb097a0a677f7",
  "Package": "skedastic",
  "Type": "Package",
  "Title": "Handling Heteroskedasticity in the Linear Regression Model",
  "Version": "2.0.3",
  "Authors@R": "c(person(given = \"Thomas\", family = \"Farrar\", \nemail = \"tjfarrar@alumni.uwaterloo.ca\", role = c(\"aut\", \"cre\"),\ncomment = c(\"0000-0003-0744-6972\")),\nperson(given = \"University of the Western Cape\", role = \"cph\"))",
  "Description": "Implements numerous methods for testing for, modelling,\nand correcting for heteroskedasticity in the classical linear\nregression model. The most novel contribution of the package is\nfound in the functions that implement the as-yet-unpublished\nauxiliary linear variance models and auxiliary nonlinear\nvariance models that are designed to estimate error variances\nin a heteroskedastic linear regression model. These models\nfollow principles of statistical learning described in Hastie\n(2009) <doi:10.1007/978-0-387-21606-5>. The nonlinear version\nof the model is estimated using quasi-likelihood methods as\ndescribed in Seber and Wild (2003, ISBN: 0-471-47135-6).\nBootstrap methods for approximate confidence intervals for\nerror variances are implemented as described in Efron and\nTibshirani (1993, ISBN: 978-1-4899-4541-9), including also the\nexpansion technique described in Hesterberg (2014)\n<doi:10.1080/00031305.2015.1089789>. The wild bootstrap\nemployed here follows the description in Davidson and Flachaire\n(2008) <doi:10.1016/j.jeconom.2008.08.003>. Tuning of\nhyper-parameters makes use of a golden section search function\nthat is modelled after the MATLAB function of Zarnowiec (2022)\n<https://www.mathworks.com/matlabcentral/fileexchange/25919-golden-section-method-algorithm>.\nA methodological description of the algorithm can be found in\nFox (2021, ISBN: 978-1-003-00957-3). There are 25 different\nfunctions that implement hypothesis tests for\nheteroskedasticity. These include a test based on Anscombe\n(1961) <https://projecteuclid.org/euclid.bsmsp/1200512155>,\nRamsey's (1969) BAMSET Test\n<doi:10.1111/j.2517-6161.1969.tb00796.x>, the tests of Bickel\n(1978) <doi:10.1214/aos/1176344124>, Breusch and Pagan (1979)\n<doi:10.2307/1911963> with and without the modification\nproposed by Koenker (1981) <doi:10.1016/0304-4076(81)90062-2>,\nCarapeto and Holt (2003) <doi:10.1080/0266476022000018475>,\nCook and Weisberg (1983) <doi:10.1093/biomet/70.1.1> (including\ntheir graphical methods), Diblasi and Bowman (1997)\n<doi:10.1016/S0167-7152(96)00115-0>, Dufour, Khalaf, Bernard,\nand Genest (2004) <doi:10.1016/j.jeconom.2003.10.024>, Evans\nand King (1985) <doi:10.1016/0304-4076(85)90085-5> and Evans\nand King (1988) <doi:10.1016/0304-4076(88)90006-1>, Glejser\n(1969) <doi:10.1080/01621459.1969.10500976> as formulated by\nMittelhammer, Judge and Miller (2000, ISBN: 0-521-62394-4),\nGodfrey and Orme (1999) <doi:10.1080/07474939908800438>,\nGoldfeld and Quandt (1965)\n<doi:10.1080/01621459.1965.10480811>, Harrison and McCabe\n(1979) <doi:10.1080/01621459.1979.10482544>, Harvey (1976)\n<doi:10.2307/1913974>, Honda (1989)\n<doi:10.1111/j.2517-6161.1989.tb01749.x>, Horn (1981)\n<doi:10.1080/03610928108828074>, Li and Yao (2019)\n<doi:10.1016/j.ecosta.2018.01.001> with and without the\nmodification of Bai, Pan, and Yin (2016)\n<doi:10.1007/s11749-017-0575-x>, Rackauskas and Zuokas (2007)\n<doi:10.1007/s10986-007-0018-6>, Simonoff and Tsai (1994)\n<doi:10.2307/2986026> with and without the modification of\nFerrari, Cysneiros, and Cribari-Neto (2004)\n<doi:10.1016/S0378-3758(03)00210-6>, Szroeter (1978)\n<doi:10.2307/1913831>, Verbyla (1993)\n<doi:10.1111/j.2517-6161.1993.tb01918.x>, White (1980)\n<doi:10.2307/1912934>, Wilcox and Keselman (2006)\n<doi:10.1080/10629360500107923>, Yuce (2008)\n<https://dergipark.org.tr/en/pub/iuekois/issue/8989/112070>,\nand Zhou, Song, and Thompson (2015) <doi:10.1002/cjs.11252>.\nBesides these heteroskedasticity tests, there are supporting\nfunctions that compute the BLUS residuals of Theil (1965)\n<doi:10.1080/01621459.1965.10480851>, the conditional two-sided\np-values of Kulinskaya (2008) <doi:10.48550/arXiv.0810.2124>,\nand probabilities for the nonparametric trend statistic of\nLehmann (1975, ISBN: 0-816-24996-1). For handling\nheteroskedasticity, in addition to the new auxiliary variance\nmodel methods, there is a function to implement various\nexisting Heteroskedasticity-Consistent Covariance Matrix\nEstimators from the literature, such as those of White (1980)\n<doi:10.2307/1912934>, MacKinnon and White (1985)\n<doi:10.1016/0304-4076(85)90158-7>, Cribari-Neto (2004)\n<doi:10.1016/S0167-9473(02)00366-3>, Cribari-Neto et al. (2007)\n<doi:10.1080/03610920601126589>, Cribari-Neto and da Silva\n(2011) <doi:10.1007/s10182-010-0141-2>, Aftab and Chang (2016)\n<doi:10.18187/pjsor.v12i2.983>, and Li et al. (2017)\n<doi:10.1080/00949655.2016.1198906>.",
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  "URL": "https://github.com/tjfarrar/skedastic",
  "BugReports": "https://github.com/tjfarrar/skedastic/issues",
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  "Repository": "https://tjfarrar.r-universe.dev",
  "Date/Publication": "2025-06-07 14:32:56 UTC",
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  "Packaged": {
    "Date": "2026-06-02 07:25:04 UTC",
    "User": "root"
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  "Author": "Thomas Farrar [aut, cre] (0000-0003-0744-6972),\nUniversity of the Western Cape [cph]",
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    "evans_king",
    "glejser",
    "godfrey_orme",
    "goldfeld_quandt",
    "GSS",
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    "harvey",
    "hccme",
    "hetplot",
    "honda",
    "horn",
    "li_yao",
    "pDtrend",
    "ppeak",
    "pRQF",
    "rackauskas_zuokas",
    "simonoff_tsai",
    "szroeter",
    "twosidedpval",
    "verbyla",
    "white",
    "wilcox_keselman",
    "yuce",
    "zhou_etal"
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      "page": "alvm.fit",
      "title": "Auxiliary Linear Variance Model",
      "topics": [
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      ]
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      "page": "anlvm.fit",
      "title": "Auxiliary Nonlinear Variance Model",
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    },
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      "page": "anscombe",
      "title": "Anscombe's Test for Heteroskedasticity in a Linear Regression Model",
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      "title": "Bootstrap Confidence Intervals for Linear Regression Error Variances",
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      "page": "avm.vcov",
      "title": "Estimate Covariance Matrix of Ordinary Least Squares Estimators Using Error Variance Estimates from an Auxiliary Variance Model",
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        "avm.vcov"
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    },
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      "page": "bamset",
      "title": "Ramsey's BAMSET Test for Heteroskedasticity in a Linear Regression Model",
      "topics": [
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      "page": "bickel",
      "title": "Bickel's Test for Heteroskedasticity in a Linear Regression Model",
      "topics": [
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    },
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      "page": "blus",
      "title": "Compute Best Linear Unbiased Scalar-Covariance (BLUS) residuals from a linear model",
      "topics": [
        "blus"
      ]
    },
    {
      "page": "bootlm",
      "title": "Nonparametric Bootstrapping of Heteroskedastic Linear Regression Models",
      "topics": [
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    },
    {
      "page": "breusch_pagan",
      "title": "Breusch-Pagan Test for Heteroskedasticity in a Linear Regression Model",
      "topics": [
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      ]
    },
    {
      "page": "carapeto_holt",
      "title": "Carapeto-Holt Test for Heteroskedasticity in a Linear Regression Model",
      "topics": [
        "carapeto_holt"
      ]
    },
    {
      "page": "cook_weisberg",
      "title": "Cook-Weisberg Score Test for Heteroskedasticity in a Linear Regression Model",
      "topics": [
        "cook_weisberg"
      ]
    },
    {
      "page": "countpeaks",
      "title": "Count peaks in a data sequence",
      "topics": [
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    },
    {
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      "title": "Probability mass function of nonparametric trend statistic D",
      "topics": [
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      "title": "Diblasi and Bowman's Test for Heteroskedasticity in a Linear Regression Model",
      "topics": [
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      "title": "Probability mass function of number of peaks in an i.i.d. random sequence",
      "topics": [
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    {
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      "title": "Probability distribution for number of peaks in a continuous, uncorrelated stochastic series",
      "topics": [
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    {
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      "title": "Dufour et al.'s Monte Carlo Test for Heteroskedasticity in a Linear Regression Model",
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    {
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      "title": "Evans-King Tests for Heteroskedasticity in a Linear Regression Model",
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      "title": "Godfrey and Orme's Nonparametric Bootstrap Test for Heteroskedasticity in a Linear Regression Model",
      "topics": [
        "godfrey_orme"
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    },
    {
      "page": "goldfeld_quandt",
      "title": "Goldfeld-Quandt Tests for Heteroskedasticity in a Linear Regression Model",
      "topics": [
        "goldfeld_quandt"
      ]
    },
    {
      "page": "GSS",
      "title": "Golden Section Search for Minimising Univariate Function over a Closed Interval",
      "topics": [
        "GSS"
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    {
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      "title": "Harrison and McCabe's Test for Heteroskedasticity in a Linear Regression Model",
      "topics": [
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      ]
    },
    {
      "page": "harvey",
      "title": "Harvey Test for Heteroskedasticity in a Linear Regression Model",
      "topics": [
        "harvey"
      ]
    },
    {
      "page": "hccme",
      "title": "Heteroskedasticity-Consistent Covariance Matrix Estimators for Linear Regression Models",
      "topics": [
        "hccme"
      ]
    },
    {
      "page": "hetplot",
      "title": "Graphical Methods for Detecting Heteroskedasticity in a Linear Regression Model",
      "topics": [
        "hetplot"
      ]
    },
    {
      "page": "honda",
      "title": "Honda's Test for Heteroskedasticity in a Linear Regression Model",
      "topics": [
        "honda"
      ]
    },
    {
      "page": "horn",
      "title": "Horn's Test for Heteroskedasticity in a Linear Regression Model",
      "topics": [
        "horn"
      ]
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