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  "Description": "Provides routines for the estimation and specification\nanalysis of fractional response models. Includes univariate\none-part, two-part, and double-inflated three-part fractional\nmodels. Further incorporates estimators for panel data settings\nand addresses unobserved heterogeneity and endogeneity via\ncorrelated random effects and control function approaches.\nExtends fractional methodology to multivariate data via\nfractional multinomial logit models and handles\nhigh-dimensional multicollinear data via fractional ridge\nregression. Calculates analytical partial effects across all\nmodel types and includes generalised\ngoodness-of-functional-form (GGOFF) and Regression Equation\nSpecification Error Test (RESET) hypothesis tests. Methods are\ndescribed in Papke and Wooldridge (1996)\n<doi:10.1002/(SICI)1099-1255(199611)11:6%3C619::AID-JAE418%3E3.0.CO;2-1>,\nPapke and Wooldridge (2008)\n<doi:10.1016/j.jeconom.2008.05.009>, Buis (2008)\n<http://maartenbuis.nl/software/likelihoodFmlogit.pdf>,\nRamalho, Ramalho and Murteira (2011)\n<doi:10.1111/j.1467-6419.2009.00602.x>, Fang and Ma (2013)\n<doi:10.1080/02664763.2012.758246>, Mullahy (2015)\n<doi:10.1515/jem-2012-0006>, Murteira and Ramalho (2016)\n<doi:10.1080/07474938.2013.806849>, and Rokem and Kay (2020)\n<doi:10.1093/gigascience/giaa133>.",
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  "Date": "2026-08-08",
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  "Author": "Sulman Olieko Owili [aut, cre] (ORCID:\n<https://orcid.org/0000-0001-7401-5326>)",
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      "object": "fracreg_spending",
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      "page": "fracreg-package",
      "title": "Fractional Response Regressions",
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      ]
    },
    {
      "page": "coef.fracreg",
      "title": "Extract Model Coefficients for fracreg",
      "topics": [
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      "page": "coef.fracreghet",
      "title": "Extract Model Coefficients for fracreghet",
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      "page": "coef.fracregmlogit",
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      "topics": [
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    },
    {
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      "title": "Extract Model Coefficients for fracregpd",
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      "page": "coef.fracregridge",
      "title": "Extract Model Coefficients for fracregridge",
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    {
      "page": "fitted.fracreg",
      "title": "Extract Fitted Values for fracreg",
      "topics": [
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    {
      "page": "fitted.fracreghet",
      "title": "Extract Fitted Values for fracreghet",
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      "title": "Extract Fitted Values, Residuals, and Predictions",
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        "fitted.fracregmlogit",
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    {
      "page": "fitted.fracregridge",
      "title": "Extract Fitted Values for fracregridge",
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      "title": "Fitting Fractional Response Regressions",
      "topics": [
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    {
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      "title": "Clean Data for Fractional Regression Models",
      "topics": [
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      ]
    },
    {
      "page": "fracreg_k401k",
      "title": "401(k) Plan Participation Data",
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    {
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      "title": "Government Spending Data",
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      "title": "GGOFF Tests for Fractional Response Regressions",
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    {
      "page": "fracreg.pe",
      "title": "Fractional Response Regressions - Partial Effects",
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    {
      "page": "fracreg.ptest",
      "title": "P Test for Fractional Response Regressions",
      "topics": [
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    {
      "page": "fracreg.reset",
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      "title": "RESET Test for Fractional Response Regressions under Neglected Heterogeneity",
      "topics": [
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      "title": "Estimate Fractional Multinomial Logit Models",
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      "title": "Fractional Multinomial Logit Average Partial Effects",
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      "title": "Fitting Panel Data Fractional Response Regressions",
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      "title": "Partial Effects for Fractional Panel Data Regression",
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      "title": "Fractional Ridge Regression",
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      "title": "Partial Effects for Fractional Ridge Regression",
      "topics": [
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    },
    {
      "page": "logLik.fracreg",
      "title": "Extract Log-Likelihood for fracreg",
      "topics": [
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    {
      "page": "logLik.fracreghet",
      "title": "Extract Log-Likelihood for fracreghet",
      "topics": [
        "logLik.fracreghet"
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    },
    {
      "page": "logLik.fracregmlogit",
      "title": "Extract Log-Likelihood for fracregmlogit",
      "topics": [
        "logLik.fracregmlogit"
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    },
    {
      "page": "logLik.fracregpd",
      "title": "Extract Log-Likelihood for fracregpd",
      "topics": [
        "logLik.fracregpd"
      ]
    },
    {
      "page": "logLik.fracregridge",
      "title": "Extract Log-Likelihood for fracregridge",
      "topics": [
        "logLik.fracregridge"
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    },
    {
      "page": "nobs.fracreg",
      "title": "Extract the Number of Observations for fracreg",
      "topics": [
        "nobs.fracreg"
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    },
    {
      "page": "nobs.fracreghet",
      "title": "Extract the Number of Observations for fracreghet",
      "topics": [
        "nobs.fracreghet"
      ]
    },
    {
      "page": "nobs.fracregmlogit",
      "title": "Extract the Number of Observations for fracregmlogit",
      "topics": [
        "nobs.fracregmlogit"
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    },
    {
      "page": "nobs.fracregpd",
      "title": "Extract the Number of Observations for fracregpd",
      "topics": [
        "nobs.fracregpd"
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    },
    {
      "page": "nobs.fracregridge",
      "title": "Extract the Number of Observations for fracregridge",
      "topics": [
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    {
      "page": "plot.fracregmlogit",
      "title": "Plot Marginal or Discrete Effects of Willingness to Pay",
      "topics": [
        "plot.fracregmlogit"
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    },
    {
      "page": "plot.fracregmlogit.pe",
      "title": "Plot Marginal or Discrete Effects",
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    {
      "page": "predict.fracreg",
      "title": "Predict Method for fracreg",
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      "page": "predict.fracreghet",
      "title": "Predict Method for fracreghet",
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      "page": "predict.fracregpd",
      "title": "Predict Method for fracregpd",
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      "title": "Predict Method for fracregridge",
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    {
      "page": "residuals.fracreg",
      "title": "Extract Model Residuals for fracreg",
      "topics": [
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    {
      "page": "residuals.fracreghet",
      "title": "Extract Model Residuals for fracreghet",
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      "page": "residuals.fracregpd",
      "title": "Extract Model Residuals for fracregpd",
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    {
      "page": "residuals.fracregridge",
      "title": "Extract Model Residuals for fracregridge",
      "topics": [
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      "page": "summary.fracregmlogit",
      "title": "Generate Summary Tables for fracregmlogit Objects",
      "topics": [
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        "summary.fracregmlogit.pe",
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    {
      "page": "vcov.fracreg",
      "title": "Extract Covariance Matrix for fracreg",
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      "title": "Extract Covariance Matrix for fracreghet",
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      "topics": [
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    },
    {
      "page": "vcov.fracregpd",
      "title": "Extract Covariance Matrix for fracregpd",
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      "page": "vcov.fracregridge",
      "title": "Extract Covariance Matrix for fracregridge",
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      "title": "\"Willingness to Pay\" for fracregmlogit models",
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      "source": "fracreg_tutorial.Rmd",
      "filename": "fracreg_tutorial.html",
      "title": "A Comprehensive Guide to Fractional Response Regressions with fracreg",
      "author": "Sulman Olieko Owili",
      "engine": "knitr::rmarkdown",
      "headings": [
        "Introduction",
        "1. Data Description and Preparation",
        "2. Cross-Sectional Fractional Models (fracreg)",
        "2.1 Empirical and Simulated Fractional Regressions",
        "2.1.2 Binary Logit Component of a Two-Part Model",
        "2.1.3 Fractional Component of a Two-Part Model",
        "2.1.4 Full Two-Part Model (Joint Estimation)",
        "2.1.5 Three-Part Double-Inflated Model",
        "2.2 Partial Effects (fracreg.pe)",
        "2.2.2 APEs for a Two-Part Model",
        "2.2.3 Conditional Partial Effects (CPE)",
        "2.2.4 APEs for a Three-Part Model",
        "3. Hypothesis Testing and Specification Diagnostics",
        "3.1 Generalised Goodness-Of-Functional-Form (fracreg.ggoff)",
        "3.1.2 GGOFF Test for the Binary Component",
        "3.2 RESET Test (fracreg.reset)",
        "3.2.2 RESET Test for the Binary Component",
        "3.3 P-Test for Non-Nested Models (fracreg.ptest)",
        "3.3.2 P-Test: 1P vs. 2P Model",
        "4. Endogeneity & Heteroscedasticity (fracreghet)",
        "4.1.2 GMMz Estimator",
        "4.1.3 GMMxv Estimator",
        "4.1.4 QMLxv Control Function Estimator",
        "4.1 Partial Effects for Endogenous Models (fracreghet.pe)",
        "4.1.2 Naive Estimator for CPEs",
        "4.2 RESET Test for Endogenous Models (fracreghet.reset)",
        "5. Panel Data Fractional Models (fracregpd)",
        "5.1.2 Standard Panel GMM (GMMbgw)",
        "5.1.3 Generalized Method of Moments (GMMww)",
        "5.1.4 GMMww with Lagged Covariates",
        "5.1.5 Endogenous Panel GMM (GMMpfe)",
        "6. Fractional Ridge Regression",
        "6.1 Empirical 401(k) Example",
        "6.2 Simulated Data Example",
        "7. Fractional Multinomial Logit",
        "7.1 Estimating Budget Shares",
        "7.2 Willingness to Pay (WTP)",
        "Conclusion",
        "Acknowledgements",
        "References"
      ],
      "created": "2026-07-04 17:40:26",
      "modified": "2026-07-12 11:33:22",
      "commits": 25
    }
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