{
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  "Package": "SamplingStrata",
  "Type": "Package",
  "Title": "Optimal Stratification of Sampling Frames for Multipurpose\nSampling Surveys",
  "Version": "1.6",
  "Date": "2025-02-01",
  "Author": "Giulio Barcaroli, Marco Ballin, Hanjo Odendaal, Daniela\nPagliuca, Egon Willighagen, Diego Zardetto",
  "Authors@R": "c(person(\"Giulio\", \"Barcaroli\", role = c(\"aut\", \"cre\"),\nemail = \"gbarcaroli@gmail.com\"),\nperson(\"Marco\", \"Ballin\", role = \"aut\",\nemail = \"marco.ballin@istat.it\"),\nperson(\"Hanjo\", \"Odendaal\", role = \"aut\",\nemail = \"hanjo.oden@gmail.com\"),\nperson(\"Daniela\", \"Pagliuca\", role = \"aut\"),\nperson(\"Egon\", \"Willighagen\", role = \"aut\"),\nperson(\"Diego\", \"Zardetto\", role = \"aut\")\n)",
  "Maintainer": "Giulio Barcaroli <gbarcaroli@gmail.com>",
  "Description": "In the field of stratified sampling design, this package\noffers an approach for the determination of the best\nstratification of a sampling frame, the one that ensures the\nminimum sample cost under the condition to satisfy precision\nconstraints in a multivariate and multidomain case. This\napproach is based on the use of the genetic algorithm: each\nsolution (i.e. a particular partition in strata of the sampling\nframe) is considered as an individual in a population; the\nfitness of all individuals is evaluated applying the\nBethel-Chromy algorithm to calculate the sampling size\nsatisfying precision constraints on the target estimates.\nFunctions in the package allows to: (a) analyse the obtained\nresults of the optimisation step; (b) assign the new strata\nlabels to the sampling frame; (c) select a sample from the new\nframe accordingly to the best allocation. Functions for the\nexecution of the genetic algorithm are a modified version of\nthe functions in the 'genalg' package.",
  "License": "GPL (>= 2)",
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    "assignStrataLabel",
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    "buildErrorsDF",
    "buildFrameDF",
    "buildFrameSpatial",
    "buildStrataDF",
    "buildStrataDFSpatial",
    "checkInput",
    "computeGamma",
    "evalSolution",
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    "KmeansSolution",
    "KmeansSolution2",
    "KmeansSolutionSpatial",
    "optimizeStrata",
    "optimizeStrata2",
    "optimizeStrataSpatial",
    "optimStrata",
    "plotSamprate",
    "plotStrata2d",
    "procBethel",
    "selectSample",
    "selectSampleSpatial",
    "selectSampleSystematic",
    "summaryStrata",
    "tuneParameters",
    "updateFrame",
    "updateStrata",
    "var.bin"
  ],
  "_datasets": [
    {
      "name": "errors",
      "title": "Precision constraints (maximum CVs) as input for Bethel allocation",
      "object": "errors",
      "file": "errors.rda",
      "class": [
        "data.frame"
      ],
      "fields": [
        "DOM",
        "CV1",
        "CV2",
        "domainvalue"
      ],
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      "table": true,
      "tojson": true
    },
    {
      "name": "nations",
      "title": "Dataset 'nations'",
      "object": "nations",
      "file": "nations.rda",
      "class": [
        "data.frame"
      ],
      "fields": [
        "Country",
        "TFR",
        "contraception",
        "infant.mortality",
        "GDP",
        "region",
        "Continent"
      ],
      "rows": 207,
      "table": true,
      "tojson": true
    },
    {
      "name": "strata",
      "title": "Dataframe containing information on strata in the frame",
      "object": "strata",
      "file": "strata.rda",
      "class": [
        "data.frame"
      ],
      "fields": [
        "stratum",
        "N",
        "X1",
        "X2",
        "X3",
        "M1",
        "M2",
        "S1",
        "S2",
        "cens",
        "cost",
        "DOM1"
      ],
      "rows": 12,
      "table": true,
      "tojson": true
    },
    {
      "name": "swisserrors",
      "title": "Precision constraints (maximum CVs) as input for Bethel allocation",
      "object": "swisserrors",
      "file": "swisserrors.rda",
      "class": [
        "data.frame"
      ],
      "fields": [
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        "CV1",
        "CV2",
        "CV3",
        "CV4",
        "domainvalue"
      ],
      "rows": 7,
      "table": true,
      "tojson": true
    },
    {
      "name": "swissframe",
      "title": "Dataframe containing information on all units in the population of reference that can be considered as the final sampling unit (this example is related to Swiss municipalities)",
      "object": "swissframe",
      "file": "swissframe.rda",
      "class": [
        "data.frame"
      ],
      "fields": [
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        "REG",
        "X1",
        "X2",
        "X3",
        "X4",
        "X5",
        "X6",
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        "Y2",
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        "Y4",
        "domainvalue"
      ],
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      "table": true,
      "tojson": true
    },
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      "title": "The Swiss municipalities population",
      "object": "swissmunicipalities",
      "file": "swissmunicipalities.rda",
      "class": [
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      ],
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        "CT",
        "REG",
        "COM",
        "Nom",
        "HApoly",
        "Surfacesbois",
        "Surfacescult",
        "Alp",
        "Airbat",
        "Airind",
        "P00BMTOT",
        "P00BWTOT",
        "Pop020",
        "Pop2040",
        "Pop4065",
        "Pop65P",
        "H00PTOT",
        "H00P01",
        "H00P02",
        "H00P03",
        "H00P04",
        "POPTOT",
        "lat",
        "long"
      ],
      "rows": 2896,
      "table": true,
      "tojson": true
    },
    {
      "name": "swissstrata",
      "title": "Dataframe containing information on strata in the swiss municipalities frame",
      "object": "swissstrata",
      "file": "swissstrata.rda",
      "class": [
        "data.frame"
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      "fields": [
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        "N",
        "M1",
        "M2",
        "M3",
        "M4",
        "S1",
        "S2",
        "S3",
        "S4",
        "cost",
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        "DOM1",
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        "X2",
        "X3",
        "X4",
        "X5",
        "X6"
      ],
      "rows": 641,
      "table": true,
      "tojson": true
    }
  ],
  "_help": [
    {
      "page": "adjustSize",
      "title": "Adjustment of the sample size in case it is externally given",
      "topics": [
        "adjustSize"
      ]
    },
    {
      "page": "aggStrata2",
      "title": "Builds the \"strata\" dataframe containing information on target variables Y's distributions in the different strata, starting from a frame",
      "topics": [
        "aggrStrata2"
      ]
    },
    {
      "page": "aggStrataSpatial",
      "title": "Builds the \"strata\" dataframe containing information on target variables Y's distributions in the different strata, starting from a frame where units are spatially correlated.",
      "topics": [
        "aggrStrataSpatial"
      ]
    },
    {
      "page": "assignStrataLabel",
      "title": "Function to assign the optimized strata labels",
      "topics": [
        "assignStrataLabel"
      ]
    },
    {
      "page": "bethel",
      "title": "Multivariate optimal allocation",
      "topics": [
        "bethel"
      ]
    },
    {
      "page": "buildErrorsDF",
      "title": "Builds the \"errors\" dataframe containing information on the precision constraints set on the target variables",
      "topics": [
        "buildErrorsDF"
      ]
    },
    {
      "page": "buildFrameDF",
      "title": "Builds the \"sampling frame\" dataframe from a dataset containing information on all the units in the population of reference",
      "topics": [
        "buildFrameDF"
      ]
    },
    {
      "page": "buildFrameSpatial",
      "title": "Builds the \"sampling frame\" dataframe from a dataset containing information all the units in the population of reference including spatial",
      "topics": [
        "buildFrameSpatial"
      ]
    },
    {
      "page": "buildStrataDF",
      "title": "Builds the \"strata\" dataframe containing information on target variables Y's distributions in the different strata, starting from sample data or from a frame",
      "topics": [
        "buildStrataDF"
      ]
    },
    {
      "page": "buildStrataDFSpatial",
      "title": "Builds the \"strata\" dataframe containing information on target variables Y's distributions in the different strata, starting from sample data or from a frame",
      "topics": [
        "buildStrataDFSpatial"
      ]
    },
    {
      "page": "checkInput",
      "title": "Checks the inputs to the package: dataframes \"errors\", \"strata\" and \"sampling frame\"",
      "topics": [
        "checkInput"
      ]
    },
    {
      "page": "computeGamma",
      "title": "Function that allows to calculate a heteroscedasticity index, together with associate prediction variance, to be used by the optimization step to correctly evaluate the standard deviation in the strata due to prediction errors.",
      "topics": [
        "computeGamma"
      ]
    },
    {
      "page": "errors",
      "title": "Precision constraints (maximum CVs) as input for Bethel allocation",
      "topics": [
        "errors"
      ]
    },
    {
      "page": "evalSolution",
      "title": "Evaluation of the solution produced by the function 'optimizeStrata' by selecting a number of samples from the frame with the optimal stratification, and calculating average CV's on the target variables Y's.",
      "topics": [
        "evalSolution"
      ]
    },
    {
      "page": "expected_CV",
      "title": "Expected coefficients of variation of target variables Y",
      "topics": [
        "expected_CV"
      ]
    },
    {
      "page": "KmeansSolution",
      "title": "Initial solution obtained by applying kmeans clustering of atomic strata",
      "topics": [
        "KmeansSolution"
      ]
    },
    {
      "page": "KmeansSolution2",
      "title": "Initial solution obtained by applying kmeans clustering of frame units",
      "topics": [
        "KmeansSolution2"
      ]
    },
    {
      "page": "KmeansSolutionSpatial",
      "title": "Initial solution obtained by applying kmeans clustering of frame units",
      "topics": [
        "KmeansSolutionSpatial"
      ]
    },
    {
      "page": "nations",
      "title": "Dataset 'nations'",
      "topics": [
        "nations"
      ]
    },
    {
      "page": "optimizeStrata",
      "title": "Best stratification of a sampling frame for multipurpose surveys",
      "topics": [
        "optimizeStrata"
      ]
    },
    {
      "page": "optimizeStrata2",
      "title": "Best stratification of a sampling frame for multipurpose surveys (only with continuous stratification variables)",
      "topics": [
        "optimizeStrata2"
      ]
    },
    {
      "page": "optimizeStrataSpatial",
      "title": "Best stratification of a sampling frame for multipurpose surveys considering also spatial correlation",
      "topics": [
        "optimizeStrataSpatial"
      ]
    },
    {
      "page": "optimStrata",
      "title": "Optimization of the stratification of a sampling frame given a sample survey",
      "topics": [
        "optimStrata"
      ]
    },
    {
      "page": "plotSamprate",
      "title": "Plotting sampling rates in the different strata for each domain in the solution.",
      "topics": [
        "plotSamprate"
      ]
    },
    {
      "page": "plotStrata2d",
      "title": "Plot bivariate distibutions in strata",
      "topics": [
        "plotStrata2d"
      ]
    },
    {
      "page": "procBethel",
      "title": "Procedure to apply Bethel algorithm and select a sample from given strata",
      "topics": [
        "procBethel"
      ]
    },
    {
      "page": "selectSample",
      "title": "Selection of a stratified sample from the frame with srswor method",
      "topics": [
        "selectSample"
      ]
    },
    {
      "page": "selectSampleSpatial",
      "title": "Selection of geo-referenced points from the frame",
      "topics": [
        "selectSampleSpatial"
      ]
    },
    {
      "page": "selectSampleSystematic",
      "title": "Selection of a stratified sample from the frame with systematic method",
      "topics": [
        "selectSampleSystematic"
      ]
    },
    {
      "page": "strata",
      "title": "Dataframe containing information on strata in the frame",
      "topics": [
        "strata"
      ]
    },
    {
      "page": "summaryStrata",
      "title": "Information on strata structure",
      "topics": [
        "summaryStrata"
      ]
    },
    {
      "page": "swisserrors",
      "title": "Precision constraints (maximum CVs) as input for Bethel allocation",
      "topics": [
        "swisserrors"
      ]
    },
    {
      "page": "swissframe",
      "title": "Dataframe containing information on all units in the population of reference that can be considered as the final sampling unit (this example is related to Swiss municipalities)",
      "topics": [
        "swissframe"
      ]
    },
    {
      "page": "swissmunicipalities",
      "title": "The Swiss municipalities population",
      "topics": [
        "swissmunicipalities"
      ]
    },
    {
      "page": "swissstrata",
      "title": "Dataframe containing information on strata in the swiss municipalities frame",
      "topics": [
        "swissstrata"
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