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Relative distribution analysis in Stata

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  • Ben Jann

    (University of Bern)

Abstract

In this article, I discuss the method of relative distribution analysis and present Stata software implementing various elements of the methodology. The relative distribution is the distribution of the relative ranks that the outcomes from one distribution take on in another distribution. The methodology can be used, for example, to compare the distribution of wages between men and women. The presented software, reldist, estimates the relative cumulative distribution and the relative density, as well as the relative polarization, divergence, and other summary measures of the relative ranks. It also provides functionality such as location and shape decompositions or covariate balancing. Statistical inference is implemented in terms of influence functions and supports estimation for complex samples.

Suggested Citation

  • Ben Jann, 2021. "Relative distribution analysis in Stata," Stata Journal, StataCorp LP, vol. 21(4), pages 885-951, December.
    • Handle: RePEc:tsj:stataj:v:21:y:2021:i:4:p:885-951
    DOI: 10.1177/1536867X211063147
    Note: to access software from within Stata, net describe http://www.stata-journal.com/software/sj21-4/st0656/
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    References listed on IDEAS

    as
    1. DiNardo, John & Fortin, Nicole M & Lemieux, Thomas, 1996. "Labor Market Institutions and the Distribution of Wages, 1973-1992: A Semiparametric Approach," Econometrica, Econometric Society, vol. 64(5), pages 1001-1044, September.
    2. Sergio Firpo & Nicole M. Fortin & Thomas Lemieux, 2009. "Unconditional Quantile Regressions," Econometrica, Econometric Society, vol. 77(3), pages 953-973, May.
    3. Fernando Rios-Avila, 2020. "Recentered influence functions (RIFs) in Stata: RIF regression and RIF decomposition," Stata Journal, StataCorp LP, vol. 20(1), pages 51-94, March.
    Full references (including those not matched with items on IDEAS)

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    Cited by:

    1. Vijayasivajie, Anushiya & Mukhopadhaya, Pundarik & Heaton, Chris, 2023. "An investigation of body mass distributional changes in Australia, 1995–2017/18," Economics & Human Biology, Elsevier, vol. 50(C).
    2. Harris, Richard & Maté-Sánchez-Val, Mariluz, 2022. "Gender pay and productivity in UK universities: Evidence from research-intensive Business Schools," Economics Letters, Elsevier, vol. 218(C).

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    More about this item

    Keywords

    reldist; relative distribution; relative ranks; relative density; median relative polarization; divergence; location and shape decomposition; co- variate balancing; Gastwirth index; reweighting; influence function;
    All these keywords.

    JEL classification:

    • C01 - Mathematical and Quantitative Methods - - General - - - Econometrics
    • C21 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models
    • C46 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Specific Distributions
    • C87 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs - - - Econometric Software

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