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  "Title": "Generalized Nonlinear Models",
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  "Description": "Functions to specify and fit generalized nonlinear models,\nincluding models with multiplicative interaction terms such as\nthe UNIDIFF model from sociology and the AMMI model from crop\nscience, and many others.  Over-parameterized representations\nof models are used throughout; functions are provided for\ninference on estimable parameter combinations, as well as\nstandard methods for diagnostics etc.",
  "License": "GPL-2 | GPL-3",
  "URL": "https://github.com/hturner/gnm",
  "BugReports": "https://github.com/hturner/gnm/issues",
  "Encoding": "UTF-8",
  "Language": "en-GB",
  "LazyData": "yes",
  "Config/testthat/edition": "3",
  "Repository": "https://hturner.r-universe.dev",
  "Date/Publication": "2023-09-16 11:05:55 UTC",
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  "Author": "Heather Turner [aut, cre] (ORCID:\n<https://orcid.org/0000-0002-1256-3375>),\nDavid Firth [aut] (ORCID: <https://orcid.org/0000-0003-0302-2312>),\nBrian Ripley [ctb],\nBill Venables [ctb],\nDouglas M. Bates [ctb],\nMartin Maechler [ctb] (ORCID: <https://orcid.org/0000-0002-8685-9910>)",
  "Maintainer": "Heather Turner <ht@heatherturner.net>",
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  "_created": "2026-06-01T08:27:43.000Z",
  "_published": "2026-06-01T08:34:13.849Z",
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  "_topics": [
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    "statistical-models",
    "openblas"
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      "version": "1.0-7",
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    },
    {
      "version": "1.0-8",
      "date": "2015-04-22"
    },
    {
      "version": "1.1-0",
      "date": "2018-06-21"
    },
    {
      "version": "1.1-1",
      "date": "2020-02-03"
    },
    {
      "version": "1.1-2",
      "date": "2022-04-29"
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      "version": "1.1-3",
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  "_exports": [
    "asGnm",
    "checkEstimable",
    "Const",
    "Diag",
    "Dref",
    "DrefWeights",
    "exitInfo",
    "Exp",
    "expandCategorical",
    "getContrasts",
    "getModelFrame",
    "gnm",
    "instances",
    "Inv",
    "meanResiduals",
    "MPinv",
    "Mult",
    "MultHomog",
    "ofInterest",
    "ofInterest<-",
    "parameters",
    "pickCoef",
    "qrSolve",
    "residSVD",
    "se",
    "Symm",
    "termPredictors",
    "Topo",
    "wedderburn"
  ],
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    {
      "name": "backPain",
      "title": "Data on Back Pain Prognosis, from Anderson (1984)",
      "object": "backPain",
      "class": [
        "data.frame"
      ],
      "fields": [
        "x1",
        "x2",
        "x3",
        "pain"
      ],
      "rows": 101,
      "table": true,
      "tojson": true
    },
    {
      "name": "barley",
      "title": "Jenkyn's Data on Leaf-blotch on Barley",
      "object": "barley",
      "class": [
        "data.frame"
      ],
      "fields": [
        "y",
        "site",
        "variety"
      ],
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      "table": true,
      "tojson": true
    },
    {
      "name": "barleyHeights",
      "title": "Heights of Barley Plants",
      "object": "barleyHeights",
      "class": [
        "data.frame"
      ],
      "fields": [
        "height",
        "year",
        "genotype"
      ],
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      "table": true,
      "tojson": true
    },
    {
      "name": "cautres",
      "title": "Data on Class, Religion and Vote in France",
      "object": "cautres",
      "class": [
        "table"
      ],
      "fields": [],
      "table": false,
      "tojson": false
    },
    {
      "name": "erikson",
      "title": "Intergenerational Class Mobility in England/Wales, France and Sweden",
      "object": "erikson",
      "class": [
        "table"
      ],
      "fields": [],
      "table": false,
      "tojson": false
    },
    {
      "name": "friend",
      "title": "Occupation of Respondents and Their Closest Friend",
      "object": "friend",
      "class": [
        "table"
      ],
      "fields": [
        "SM",
        "MPS",
        "OMO",
        "GMA",
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      ],
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      "table": true,
      "tojson": false
    },
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      "title": "Data on twenty roll calls in the US House of Representatives, 2001",
      "object": "House2001",
      "class": [
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        "HR503.FetalProtection.No",
        "HR1.SchoolVouchers.No",
        "HR1836.TaxCutReconciliationBill.No",
        "HR2356.CampaignFinanceReform.No",
        "HJRes36.FlagDesecration.No",
        "HR7.FaithBasedInitiative.Yes",
        "HJRes50.ChinaNormalizedTradeRelations.Yes",
        "HR4.ANWRDrillingBan.Yes",
        "HR2563.PatientsRightsHMOLiability.No",
        "HR2563.PatientsBillOfRights.No",
        "HR2944.DomesticPartnerBenefits.No",
        "HR2586.USMilitaryPersonnelOverseasAbortions.Yes",
        "HR2975.AntiTerrorismAuthority.No",
        "HR3090.EconomicStimulus.No",
        "HR3000.TradePromotionAuthorityFastTrack.No"
      ],
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      "table": true,
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    },
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      "object": "mentalHealth",
      "class": [
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      ],
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        "SES",
        "MHS"
      ],
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      "table": true,
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    },
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      "title": "Data on Social Mobility and the Labour Vote",
      "object": "voting",
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        "total",
        "origin",
        "destination"
      ],
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      "table": true,
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    },
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      "object": "wheat",
      "class": [
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      ],
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        "yield",
        "year",
        "tillage",
        "summerCrop",
        "manure",
        "N",
        "MTD",
        "MTJ",
        "MTF",
        "MTM",
        "MTA",
        "mTD",
        "mTJ",
        "mTF",
        "mTM",
        "mTA",
        "mTUD",
        "mTUJ",
        "mTUF",
        "mTUM",
        "mTUA",
        "PRD",
        "PRJ",
        "PRF",
        "PRM",
        "SHD",
        "SHJ",
        "SHF",
        "EVD",
        "EVJ",
        "EVF",
        "EVM",
        "EVA"
      ],
      "rows": 240,
      "table": true,
      "tojson": true
    },
    {
      "name": "yaish",
      "title": "Class Mobility by Level of Education in Israel",
      "object": "yaish",
      "class": [
        "table"
      ],
      "fields": [],
      "table": false,
      "tojson": false
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  ],
  "_help": [
    {
      "page": "gnm-package",
      "title": "Generalized Nonlinear Models",
      "topics": [
        "gnm-package"
      ]
    },
    {
      "page": "anova.gnm",
      "title": "Analysis of Deviance for Generalized Nonlinear Models",
      "topics": [
        "anova.gnm"
      ]
    },
    {
      "page": "asGnm",
      "title": "Coerce Linear Model to gnm Object",
      "topics": [
        "asGnm"
      ]
    },
    {
      "page": "backPain",
      "title": "Data on Back Pain Prognosis, from Anderson (1984)",
      "topics": [
        "backPain"
      ]
    },
    {
      "page": "barley",
      "title": "Jenkyn's Data on Leaf-blotch on Barley",
      "topics": [
        "barley"
      ]
    },
    {
      "page": "barleyHeights",
      "title": "Heights of Barley Plants",
      "topics": [
        "barleyHeights"
      ]
    },
    {
      "page": "cautres",
      "title": "Data on Class, Religion and Vote in France",
      "topics": [
        "cautres"
      ]
    },
    {
      "page": "checkEstimable",
      "title": "Check Whether One or More Parameter Combinations in a gnm Model are Identified",
      "topics": [
        "checkEstimable"
      ]
    },
    {
      "page": "confint.gnm",
      "title": "Compute Confidence Intervals of Parameters in a Generalized Nonlinear Model",
      "topics": [
        "confint.gnm",
        "confint.profile.gnm"
      ]
    },
    {
      "page": "Const",
      "title": "Specify a Constant in a \"nonlin\" Function Predictor",
      "topics": [
        "Const"
      ]
    },
    {
      "page": "Diag",
      "title": "Equality of Two or More Factors",
      "topics": [
        "Diag"
      ]
    },
    {
      "page": "Dref",
      "title": "Specify a Diagonal Reference Term in a gnm Model Formula",
      "topics": [
        "Dref",
        "DrefWeights"
      ]
    },
    {
      "page": "erikson",
      "title": "Intergenerational Class Mobility in England/Wales, France and Sweden",
      "topics": [
        "erikson"
      ]
    },
    {
      "page": "exitInfo",
      "title": "Print Exit Information for gnm Fit",
      "topics": [
        "exitInfo"
      ]
    },
    {
      "page": "Exp",
      "title": "Specify the Exponential of a Predictor in a gnm Model Formula",
      "topics": [
        "Exp"
      ]
    },
    {
      "page": "expandCategorical",
      "title": "Expand Data Frame by Re-expressing Categorical Data as Counts",
      "topics": [
        "expandCategorical"
      ]
    },
    {
      "page": "friend",
      "title": "Occupation of Respondents and Their Closest Friend",
      "topics": [
        "friend"
      ]
    },
    {
      "page": "getContrasts",
      "title": "Estimated Contrasts and Standard Errors for Parameters in a gnm Model",
      "topics": [
        "getContrasts"
      ]
    },
    {
      "page": "gnm",
      "title": "Fitting Generalized Nonlinear Models",
      "topics": [
        "gnm"
      ]
    },
    {
      "page": "House2001",
      "title": "Data on twenty roll calls in the US House of Representatives, 2001",
      "topics": [
        "House2001"
      ]
    },
    {
      "page": "instances",
      "title": "Specify Multiple Instances of a Nonlinear Term in a gnm Model Formula",
      "topics": [
        "instances"
      ]
    },
    {
      "page": "Inv",
      "title": "Specify the Reciprocal of a Predictor in a gnm Model Formula",
      "topics": [
        "Inv"
      ]
    },
    {
      "page": "meanResiduals",
      "title": "Average Residuals within Factor Levels",
      "topics": [
        "meanResiduals"
      ]
    },
    {
      "page": "mentalHealth",
      "title": "Data on Mental Health and Socioeconomic Status",
      "topics": [
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