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RESEARCH PAPER
Estimation of the Personal Income Tax (PIT) Gap in Poland
 
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1
Institute of Finance, University of Lodz, Poland
 
2
Department of Macroeconomics and Foreign Trade Theory, University of Warsaw, Poland
 
 
Submission date: 2024-12-26
 
 
Final revision date: 2025-05-19
 
 
Acceptance date: 2025-06-05
 
 
Publication date: 2026-03-31
 
 
Corresponding author
Tomasz Tratkiewicz   

Institute of Finance, University of Lodz, Poland
 
 
GNPJE 2026;325(1):5-22
 
KEYWORDS
JEL CLASSIFICATION CODES
ABSTRACT
The literature on estimating the tax gap in direct taxes generally emphasises that using a bottom-up method produces much better results than using a top-down method. The existing methods of estimating the PIT gap using the bottom-up approach rarely take advantage of risk-based audits, which can be successfully used when tax gap estimation based on random audits cannot be applied. An important issue with risk-based audits is the potential selection bias. To address this issue, we use the Heckman selection model. We estimate the size of the PIT gap in Poland in 2017 by using data from the tax filings of taxpayers earning income from business activities taxed at a flat 19‑percent tax rate and risk-based audits. Our findings show that the predicted PIT gap corresponds to 4.5 percent of the total tax liability of this group of taxpayers. We also identify the regions and sectors with the highest predicted PIT gap per taxpayer. Our results show that the Heckman model can be used as a tool by tax authorities to improve the efficiency of risk-based audits.
ACKNOWLEDGEMENTS
We would like to thank three anonymous referees for helpful comments, Centrum Projektów Europejskich for financial support (Project. No. POWR.04.03.00-00-0047/17) and CASE – Center for Social and Economic Research for making the research possible. We are solely responsible for the interpretation of the data and all errors.
FUNDING
Centrum Projektów Europejskich (Project. No. POWR.04.03.00-00-0047/17)
REFERENCES (46)
1.
Adamczyk A. [2020], Zjawisko zaniżania dochodu przez samozatrudnionych – istota, determinanty, pomiar, Wydawnictwo Naukowe Uniwersytetu Szczecińskiego, Szczecin.
 
2.
Advani A., Elming W., Shaw J. [2021], The dynamic effects of tax audits, Review of Economics and Statistics, 105: 1–45.
 
3.
Alaimo Di Loro P., Scacciatelli D., Tagliaferri G. [2023], G. 2 step Gradient Boosting approach to selectivity bias correction in tax audit: an application to the VAT gap in Italy, Statistical Methods & Applications, 32: 237–270, https://doi.org/10.1007/s10260....
 
4.
Andreoni J., Erard B., Feinstein J. [1998], Tax compliance, Journal of Economic Literature, 36 (2): 818–860.
 
5.
Bérgolo M., Ceni R., Cruces G., Giaccobasso M., Perez-Truglia R. [2018], Misperceptions about tax audits, American Economic Association Papers and Proceedings, 108: 83–87.
 
6.
Bloomquist K. M. [2003], Tax evasion, income inequality and opportunity costs of compliance, in: Proceedings. Annual Conference on Taxation and Minutes of the Annual Meeting of the National Tax Association: 91–104, National Tax Association.
 
7.
Cabral A. C. G., Gemmell N., Alinaghi N. [2021], Are survey-based self-employment income underreporting estimates biased? New evidence from matched register and survey data, International Tax and Public Finance, 28 (2): 284–322, https://doi.org/10.1007/s10797....
 
8.
Certo S. T., Busenbark J. R., Woo H. S., Semadeni M. [2016], Sample selection bias and Heckman models in strategic management research, Strategic Management Journal, 37 (13): 2639–2657.
 
9.
Christie E., Holzner M. [2006]. What explains tax evasion? An empirical assessment based on European data, Wiener Institut für Inter¬nationale Wirtschaftsvergleiche Working Papers No. 40.
 
10.
Chudý M., Gábik R., Bukovina J., Śrámkova L. [2020], Searching for gaps: Bottom-up approach for Slovakia, Economic Analysis – Policy Paper No. 54, https://www.mfsr.sk/sk/financi..., (accessed on 25.12.2024).
 
11.
D’Agosto E., Manzo M., Pisani S., D’Arcangelo F. M. [2018], The effect of audit activity on tax declaration: Evidence on small businesses in Italy, Public Finance Review, 46 (1): 29–57.
 
12.
Departament Podatków Dochodowych [2018], Informacja dotycząca rozliczenia podatku dochodowego od osób fizycznych za 2017 rok, Warszawa, https://dane.gov.pl/pl/dataset..., informacje-dotyczace-rozliczenia-podatku dochodowego-od-osob-fizycznych (accessed on: 25.12.2024).
 
13.
Erard B., Feinstein J. [2011], The Individual Income Reporting Gap: What We See and What We Don’t, Recent Research on Tax Administration and Compliance Selected Papers Given at the 2011 IRS-TPC Research Conference: New Perspectives on Tax Administration, https://www.irs.gov/pub/irs-so..., (accessed on 25.12.2024).
 
14.
Erard B., Feinstein J. [2010], Econometric models for multi-stage audit processes: an application to the IRS national research program, in: Aim J., Martinez-Vazquez J., Torgler B. (eds.), Developing Alternative Frameworks for Explaining Tax Compliance: 113–137, Routledge, London–New York.
 
15.
Estache A., Iimi A. [2011], Bidders’ entry and auctioneer’s rejection: applying a double selection model to road procurement auctions, Journal of Applied Economics, 14 (2): 199–223.
 
16.
Feige E. L. [1990], Defining and Estimating Underground and Informal Economies: The New Institutional Economics Approach, World Development, 18 (7): 989–1002.
 
17.
Feinstein J. S. [1999], Approaches for estimating noncompliance: examples from federal taxation in the United States, The Eco¬nomic Journal, 109 (456): 360–369.
 
18.
Feldman N. E., Slemrod J. [2007], Estimating tax noncompliance with evidence from unaudited tax returns, The Economic Journal, 117 (March): 327–352.
 
19.
FISCALIS [2017], The concept of tax gaps. Report on VAT gap estimations, prepared by FISCALIS Tax Gap Project Group (FPG/041), Brus¬sels, March 2016, https://taxation-customs.ec.eu... (accessed on 25.12.2024).
 
20.
FISCALIS [2018]. Corporate Income Tax Gap Estimation Methodologies, EU Commission Taxation Papers WP No. 73, https://taxation-customs.ec.eu... (accessed on 25.12.2024).
 
21.
Gemmell N., Hasseldine J. [2012], The tax gap: a methodological review, Working Paper 20, Emerald Group Publishing Limited.
 
22.
Heckman J. J. [1979], Sample selection bias as a specification error, Econometrica: Journal of the Econometric Society, 47: 153–161.
 
23.
Hill R. C., Adkins L. C., Bender K. A. [2003], Test statistics and critical values in selectivity models, in: Fomby Th. B., Hill R. C. (eds.), Maximum Likelihood Estimation of Misspecified Models: Twenty Years Later, Emerald Group Publishing Limited.
 
24.
HMRC [2022], Measuring tax gaps 2022 edition: Tax gap estimates for 2020 to 2021, https://webarchive.nationalarc... (accessed on 25.12.2024).
 
25.
Hyndman R. J., Koehler A. B. [2006], Another look at measures of forecast accuracy, International Journal of Forecasting, 22 (4): 679–688.
 
26.
IMF (International Monetary Fund) [2021], The Revenue Administration Gap Analysis Program: An Analytical Framework for Personal Income Tax Gap Estimation, International Monetary Fund Technical Notes and Manuals, TNM/2021/009.
 
27.
IMF (International Monetary Fund) [2024], Fiscal Affairs Dept. “Republic of Armenia: Technical Assistance Report-Corporate Income Tax Gap Prediction 2023 Based on Corporate Income Tax Returns”, Technical Assistance Reports 2024, 088 (2024), https://doi.org/10.5089/979840....
 
28.
IRS (Internal Revenue Service) [1996], Federal Tax Compliance Research: Individual Income Tax Gap Estimates for 1985, 1988, and 1992, IRS Publication 1415 (Rev. 4–96), Washington, DC.
 
29.
Kleven H. J., Knudsen M. B., Kreiner C. T., Pedersen S., Saez E. [2011], Unwilling or unable to cheat? Evidence from a tax audit experiment in Denmark, Econometrica, 79 (3): 651–692.
 
30.
Klonowska A. [2017], Luka podatkowa. Skutki dla finansów publicznych, C. H. Beck, Warszawa.
 
31.
Kukk M., Paulus A., Staehr K. [2020], Cheating in Europe: underreporting of self-employment income in comparative perspective, International Tax and Public Finance, 27 (2): 363–390.
 
32.
Mandrekar J. N. [2010], Receiver operating characteristic curve in diagnostic test assessment, Journal of Thoracic Oncology, 5 (9): 1315–1316.
 
33.
Marra G., Radice R. [2013], Estimation of a regression spline sample selection model, Computational Statistics & Data Analysis, 61: 158–173.
 
34.
NIK (Najwyższa Izba Kontroli) [2019], Informacja o wynikach kontroli, Nadzór Ministra Finansów nad poborem podatku od towarów i usług, KBF.430.002.2019, https://www.nik.gov.pl/plik/id... (accessed on 25.12.2024).
 
35.
OECD [2004], Compliance Risk Management: Use of random audit programs, https://www.oecd.org/content/d... (accessed on 25.12.2024).
 
36.
Pissarides C., Weber G. [1989], An Expenditure-Based Estimate of Britain’s Black Economy, Journal of Public Economics, 39 (1): 17–32.
 
37.
Richardson G. [2006], Determinants of tax evasion: A cross-country investigation, Journal of International Accounting, Auditing and Taxation, 15: 150–169.
 
38.
Rubin M. [2011], The Practicality of a Top Down Approach to the Direct Tax Gap, The IRS Research Bulletin, Recent Research on Tax Administration and Compliance: Selected Papers Given at the 2011 IRS-TPC Research Conference: New Perspectives on Tax Administration.
 
39.
Siddiqi N. [2012], Credit Risk Scorecards: Developing and Implementing Intelligent Credit Scoring, SAS Institute Inc.
 
40.
Slemrod J. [2007], Cheating ourselves: The economics of tax evasion, Journal of Economic Perspectives, 21 (1): 25–48.
 
41.
Slemrod J., Blumenthal M., Christian C. [2001], Taxpayer response to an increased probability of audit: evidence from a controlled experiment in Minnesota, Journal of Public Economics, 79 (3): 455–483.
 
42.
The World Bank [2011], Risk-Based Tax Audits, Approaches and Country Experiences, https://documents.worldbank.or... (accessed on 25.12.2024).
 
43.
Toder E. [2007], What is the tax gap, Tax Notes, 117 (4): 367–378.
 
44.
Turgut M. B., Tratkiewicz T. [2023], Estimate of the Underground Economy in Poland Based on Household Expenditures and Incomes, Central European Journal of Economic Modelling and Econometrics, 15: 1–29.
 
45.
Wojtyś M., Marra G. [2015], Copula based generalized additive models with non-random sample selection, arXiv preprint arXiv:1508.04070.
 
46.
Wu S.‑Y., Teng M. J. [2005], Determinants of tax compliance – A cross-country analysis, Finanzarchiv/Public Finance Analysis, 61 (3): 393–417.
 
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