{
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  "Title": "Scalar-on-Function Regression with Measurement Error Correction",
  "Version": "0.2.1",
  "Authors@R": "c(\nperson(given = \"Heyang\",   family = \"Ji\",                role = c(\"aut\",\"cre\",\"ctb\",\"dtc\"), email = \"jihx1015@outlook.com\", comment = c(ORCID = \"0009-0001-7494-7227\")),\nperson(given = \"Ufuk\",     family = \"Beyaztas\",          role = c(\"aut\",\"ctb\",\"rev\"), email = \"ufuk.beyaztas@marmara.edu.tr\", comment = c(ORCID = \"0000-0002-5208-4950\")),\nperson(given = \"Nicolas\",  family = \"Escobar-Velasquez\", role = c(\"com\"), email = \"nescoba@iu.edu\", comment = c(ORCID = \"0009-0006-0800-5692\")),\nperson(given = \"Yuanyuan\", family = \"Luan\",              role = c(\"aut\",\"ctb\")),\nperson(given = \"Xiwei\",    family = \"Chen\",              role = c(\"aut\",\"ctb\")),\nperson(given = \"Mengli\",   family = \"Zhang\",             role = c(\"aut\",\"ctb\"), email = \"zhangmengli_sufe@163.com\"),\nperson(given = \"Roger\",    family = \"Zoh\",               role = c(\"aut\",\"ths\")),\nperson(given = \"Lan\",      family = \"Xue\",               role = c(\"aut\",\"ths\")),\nperson(given = \"Carmen\",   family = \"Tekwe\",             role = c(\"aut\",\"ths\"), email = \"ctekwe@gmail.com\", comment = c(ORCID = \"0000-0002-1857-2416\"))\n)",
  "Maintainer": "Heyang Ji <jihx1015@outlook.com>",
  "Description": "Solve scalar-on-function linear models, including\ngeneralized linear mixed effect model and quantile linear\nregression model, and bias correction estimation methods due to\nmeasurement error. Details about the measurement error bias\ncorrection methods, see Luan et al. (2023)\n<doi:10.48550/arXiv.2305.12624>, Tekwe et al. (2022)\n<doi:10.1093/biostatistics/kxac017>, Zhang et al. (2023)\n<doi:10.5705/ss.202021.0246>, Tekwe et al. (2019)\n<doi:10.1002/sim.8179>.",
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  "Author": "Heyang Ji [aut, cre, ctb, dtc] (ORCID:\n<https://orcid.org/0009-0001-7494-7227>), Ufuk Beyaztas [aut,\nctb, rev] (ORCID: <https://orcid.org/0000-0002-5208-4950>),\nNicolas Escobar-Velasquez [com] (ORCID:\n<https://orcid.org/0009-0006-0800-5692>), Yuanyuan Luan [aut,\nctb], Xiwei Chen [aut, ctb], Mengli Zhang [aut, ctb], Roger Zoh\n[aut, ths], Lan Xue [aut, ths], Carmen Tekwe [aut, ths] (ORCID:\n<https://orcid.org/0000-0002-1857-2416>)",
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  "Repository": "https://jihx1015.r-universe.dev",
  "Date/Publication": "2025-06-30 07:30:02 UTC",
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  "_exports": [
    "%>%",
    "basis2fun",
    "bspline_basis",
    "bspline_basis_expansion",
    "bspline_series",
    "bsplineSeries2fun",
    "extractCoef",
    "fc.beta",
    "fcQR",
    "fcRegression",
    "fourier_basis_expansion",
    "Fourier_series",
    "FourierSeries2fun",
    "FPC_basis_expansion",
    "functional_variable",
    "ME.fcLR_IV",
    "ME.fcQR_CLS",
    "ME.fcQR_IV.SIMEX",
    "ME.fcRegression_MEM",
    "MECfda_simDataGen_fcReg",
    "MECfda_simDataGen_ME",
    "MEM_X_hat",
    "numeric_basis",
    "numeric_basis_expansion",
    "numericBasis_series",
    "numericBasisSeries2fun",
    "plot"
  ],
  "_datasets": [
    {
      "name": "MECfda.data.sim.0.0",
      "title": "Simulated data",
      "object": "MECfda.data.sim.0.0",
      "class": [
        "list"
      ],
      "fields": [],
      "table": false,
      "tojson": false
    },
    {
      "name": "MECfda.data.sim.0.1",
      "title": "Simulated data",
      "object": "MECfda.data.sim.0.1",
      "class": [
        "list"
      ],
      "fields": [],
      "table": false,
      "tojson": true
    },
    {
      "name": "MECfda.data.sim.0.2",
      "title": "Simulated data",
      "object": "MECfda.data.sim.0.2",
      "class": [
        "list"
      ],
      "fields": [],
      "table": false,
      "tojson": true
    },
    {
      "name": "MECfda.data.sim.0.3",
      "title": "Simulated data",
      "object": "MECfda.data.sim.0.3",
      "class": [
        "list"
      ],
      "fields": [],
      "table": false,
      "tojson": true
    },
    {
      "name": "MECfda.data.sim.1.0",
      "title": "Simulated data",
      "object": "MECfda.data.sim.1.0",
      "class": [
        "list"
      ],
      "fields": [],
      "table": false,
      "tojson": false
    },
    {
      "name": "MECfda.data.sim.1.1",
      "title": "Simulated data",
      "object": "MECfda.data.sim.1.1",
      "class": [
        "list"
      ],
      "fields": [],
      "table": false,
      "tojson": true
    },
    {
      "name": "MECfda.data.sim.1.2",
      "title": "Simulated data",
      "object": "MECfda.data.sim.1.2",
      "class": [
        "list"
      ],
      "fields": [],
      "table": false,
      "tojson": true
    },
    {
      "name": "MECfda.data.sim.1.3",
      "title": "Simulated data",
      "object": "MECfda.data.sim.1.3",
      "class": [
        "list"
      ],
      "fields": [],
      "table": false,
      "tojson": true
    }
  ],
  "_help": [
    {
      "page": "basis2fun",
      "title": "From the summation series of a functional basis to function value",
      "topics": [
        "basis2fun",
        "basis2fun,bspline_series,numeric-method",
        "basis2fun,Fourier_series,numeric-method",
        "basis2fun,numericBasis_series,numeric-method"
      ]
    },
    {
      "page": "bspline_basis_expansion",
      "title": "B-splines basis expansion for functional variable data",
      "topics": [
        "bspline_basis_expansion",
        "bspline_basis_expansion,functional_variable,integer-method"
      ]
    },
    {
      "page": "bspline_basis-class",
      "title": "b-spline basis",
      "topics": [
        "bspline_basis",
        "bspline_basis-class"
      ]
    },
    {
      "page": "bspline_series-class",
      "title": "b-splines summation series.",
      "topics": [
        "bspline_series",
        "bspline_series-class"
      ]
    },
    {
      "page": "bsplineSeries2fun",
      "title": "Compute the value of the b-splines summation series at certain points.",
      "topics": [
        "bsplineSeries2fun",
        "bsplineSeries2fun,bspline_series,numeric-method"
      ]
    },
    {
      "page": "dim-functional_variable-method",
      "title": "Extract dimensionality of functional data.",
      "topics": [
        "dim,functional_variable-method"
      ]
    },
    {
      "page": "extractCoef",
      "title": "Method of class Fourier_series to extract Fourier coefficients",
      "topics": [
        "extractCoef",
        "extractCoef,Fourier_series-method"
      ]
    },
    {
      "page": "fc.beta",
      "title": "Extract the value of coefficient parameter function",
      "topics": [
        "fc.beta",
        "fc.beta,fcQR-method",
        "fc.beta,fcRegression-method"
      ]
    },
    {
      "page": "fcQR",
      "title": "Solve quantile regression models with functional covariate(s).",
      "topics": [
        "fcQR"
      ]
    },
    {
      "page": "fcRegression",
      "title": "Solve linear models with functional covariate(s)",
      "topics": [
        "fcRegression"
      ]
    },
    {
      "page": "fourier_basis_expansion",
      "title": "Fourier basis expansion for functional variable data",
      "topics": [
        "fourier_basis_expansion",
        "fourier_basis_expansion,functional_variable,integer-method"
      ]
    },
    {
      "page": "Fourier_series-class",
      "title": "s4 class of Fourier summation series",
      "topics": [
        "Fourier_series",
        "Fourier_series-class"
      ]
    },
    {
      "page": "FourierSeries2fun",
      "title": "Compute the value of the Fourier summation series",
      "topics": [
        "FourierSeries2fun",
        "FourierSeries2fun,Fourier_series,numeric-method"
      ]
    },
    {
      "page": "FPC_basis_expansion",
      "title": "Functional principal component basis expansion for functional variable data",
      "topics": [
        "FPC_basis_expansion",
        "FPC_basis_expansion,functional_variable,integer-method"
      ]
    },
    {
      "page": "functional_variable-class",
      "title": "Function-valued variable data.",
      "topics": [
        "functional_variable",
        "functional_variable-class"
      ]
    },
    {
      "page": "ME.fcLR_IV",
      "title": "Bias correction method of applying linear regression to one functional covariate with measurement error using instrumental variable.",
      "topics": [
        "ME.fcLR_IV"
      ]
    },
    {
      "page": "ME.fcQR_CLS",
      "title": "Bias correction method of applying quantile linear regression to dataset with one functional covariate with measurement error using corrected loss score method.",
      "topics": [
        "ME.fcQR_CLS"
      ]
    },
    {
      "page": "ME.fcQR_IV.SIMEX",
      "title": "Bias correction method of applying quantile linear regression to dataset with one functional covariate with measurement error using instrumental variable.",
      "topics": [
        "ME.fcQR_IV.SIMEX"
      ]
    },
    {
      "page": "ME.fcRegression_MEM",
      "title": "Use UP_MEM or MP_MEM substitution to apply (generalized) linear regression with one functional covariate with measurement error.",
      "topics": [
        "ME.fcRegression_MEM"
      ]
    },
    {
      "page": "MECfda_simDataGen_fcReg",
      "title": "Simulation Data Generation: Scalar-on-function Regression",
      "topics": [
        "MECfda_simDataGen_fcReg"
      ]
    },
    {
      "page": "MECfda_simDataGen_ME",
      "title": "Simulation Data Generation: Measurement Error Bias Correction of Scalar-on-function Regression",
      "topics": [
        "MECfda_simDataGen_ME"
      ]
    },
    {
      "page": "MECfda.data.sim.0.0",
      "title": "Simulated data",
      "topics": [
        "MECfda.data.sim.0.0"
      ]
    },
    {
      "page": "MECfda.data.sim.0.1",
      "title": "Simulated data",
      "topics": [
        "MECfda.data.sim.0.1"
      ]
    },
    {
      "page": "MECfda.data.sim.0.2",
      "title": "Simulated data",
      "topics": [
        "MECfda.data.sim.0.2"
      ]
    },
    {
      "page": "MECfda.data.sim.0.3",
      "title": "Simulated data",
      "topics": [
        "MECfda.data.sim.0.3"
      ]
    },
    {
      "page": "MECfda.data.sim.1.0",
      "title": "Simulated data",
      "topics": [
        "MECfda.data.sim.1.0"
      ]
    },
    {
      "page": "MECfda.data.sim.1.1",
      "title": "Simulated data",
      "topics": [
        "MECfda.data.sim.1.1"
      ]
    },
    {
      "page": "MECfda.data.sim.1.2",
      "title": "Simulated data",
      "topics": [
        "MECfda.data.sim.1.2"
      ]
    },
    {
      "page": "MECfda.data.sim.1.3",
      "title": "Simulated data",
      "topics": [
        "MECfda.data.sim.1.3"
      ]
    },
    {
      "page": "MEM_X_hat",
      "title": "Get MEM substitution for (generalized) linear regression with one functional covariate with measurement error.",
      "topics": [
        "MEM_X_hat"
      ]
    },
    {
      "page": "numeric_basis_expansion",
      "title": "Numeric basis expansion for functional variable data",
      "topics": [
        "numeric_basis_expansion",
        "numeric_basis_expansion,functional_variable,numeric_basis-method"
      ]
    },
    {
      "page": "numeric_basis-class",
      "title": "Numeric representation of a function basis",
      "topics": [
        "numeric_basis",
        "numeric_basis-class"
      ]
    },
    {
      "page": "numericBasis_series-class",
      "title": "Linear combination of a sequence of basis functions represented numerically",
      "topics": [
        "numericBasis_series",
        "numericBasis_series-class"
      ]
    },
    {
      "page": "numericBasisSeries2fun",
      "title": "Compute the value of the basis function summation series at certain points.",
      "topics": [
        "numericBasisSeries2fun",
        "numericBasisSeries2fun,numericBasis_series,numeric-method"
      ]
    },
    {
      "page": "plot-bspline_series-method",
      "title": "Plot b-splines basis summation series.",
      "topics": [
        "plot,bspline_series-method"
      ]
    },
    {
      "page": "plot-Fourier_series-method",
      "title": "Plot Fourier basis summation series.",
      "topics": [
        "plot,Fourier_series-method"
      ]
    },
    {
      "page": "plot-numericBasis_series-method",
      "title": "Plot numeric basis function summation series.",
      "topics": [
        "plot,numericBasis_series-method"
      ]
    },
    {
      "page": "predict.fcQR",
      "title": "Predicted values based on fcQR object",
      "topics": [
        "predict.fcQR"
      ]
    },
    {
      "page": "predict.fcRegression",
      "title": "Predicted values based on fcRegression object",
      "topics": [
        "predict.fcRegression"
      ]
    }
  ],
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      "filename": "MECfda.html",
      "title": "MECfda: An R package for bias correction due to measurement error in functional and scalar covariates in scalar-on-function regression models",
      "author": "Ji, Heyang, Beyaztas, Ufuk, Escobar, Nicolas, Luan, Yuanyuan, Chen, Xiwei, Zhang, Mengli, Zoh, Roger, Xue, Lan, Tekwe, Carmen",
      "engine": "knitr::rmarkdown",
      "headings": [
        "Introduction",
        "Scalar-on-Function Linear Regression Models",
        "Representation of Functional Data",
        "Functional Data",
        "S4 Class functional_variable",
        "Basis Expansion",
        "Fourier Basis",
        "S4 Class Fourier_series",
        "B-spline Basis",
        "S4 Classes bspline_basis and bspline_series",
        "Eigenfunction basis",
        "Numerical Basis",
        "S4 Class numeric_basis and numericBasis_series",
        "Function basis2fun",
        "Basis expansion methods for the functional_variable class",
        "Numerical Computation of Integrals",
        "Scalar-on-Function Linear Regression in MECfda",
        "fcRegression",
        "fcQR",
        "Measurement Error Models and Bias Correction Estimation Methods",
        "ME.fcRegression_MEM",
        "ME.fcQR_IV.SIMEX",
        "ME.fcQR_CLS",
        "ME.fcLR_IV",
        "Simulated Data Generation",
        "References"
      ],
      "created": "2024-10-21 12:01:07",
      "modified": "2025-06-30 07:30:02",
      "commits": 3
    }
  ],
  "_score": 2,
  "_indexed": true,
  "_nocasepkg": "mecfda",
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