Methodology of Industry Statistics: Averages, Quantiles and Responses to Atypical Value

dc.contributor.authorBoďa, Martin
dc.contributor.authorÚradníček, Vladimír
dc.contributor.otherEkonomická fakultacs
dc.date.accessioned2020-09-02T09:42:31Z
dc.date.available2020-09-02T09:42:31Z
dc.description.abstractThe paper notices troublesome aspects of compiling industry statistics for the purpose of inter-enterprise comparison in corporate financial analysis. Whilst making a caveat that this issue is unbeknownst to practitioners and underrated by theorists, the goal of the paper is two-fold. For one thing, the paper demonstrates that financial ratios are inclined to frequency distributions characteristic of power-law (fat) tails and their typical shape precludes a simple treatment. For the other, the paper explores different approaches to compiling industry statistics by considering trimming and winsorizing cleansing protocols, and by confronting trimmed, winsorized as well as quantile measures of central tendency. The issues are empirically illustrated on data for a great number of Slovak construction enterprises for two years, 2009 and 2018. The empirical distribution of eight financial ratios is studied for troublesome features such as asymmetry and power-law (fat) tails that hamper usefulness of traditional descriptive measures of location without considering different possibilities of handling atypical values (such as infinite and outlying values). The confrontation of diverse approaches suggests a plausible route to compiling industry statistics that consists in reporting a 25% trimmed mean alongside 25% and 75% quantiles, all applied to trimmed data (i.e. data after discarding infinite values). The paper also highlights the sorely unnoticed fact that the key ratio of financial analysis, return on equity, may easily attain non-sense values and these should be removed prior to compiling financial analysis; otherwise, industry statistics is biased upward regardless of what measure of central tendency is made use of.en
dc.formattext
dc.identifier.doi10.15240/tul/001/2020-3-008
dc.identifier.eissn2336-5604
dc.identifier.issn1212-3609
dc.identifier.urihttps://dspace.tul.cz/handle/15240/157484
dc.language.isoen
dc.publisherTechnická Univerzita v Libercics
dc.publisherTechnical university of Liberec, Czech Republicen
dc.publisher.abbreviationTUL
dc.relation.isbasedonBalcaen, S., Manigart, S., Buyze, J., & Oooghe, H. (2012). Firm exit after distress: differentiating between bankruptcy, voluntary liquidation and M&A. Small Business Economics, 39(4), 949–975. https://doi.org/10.1007/s11187-011-9342-7
dc.relation.isbasedonBhattacharjee, A., & Han, J. (2014). Financial distress of Chinese firms: Microeconomic, macroeconomic and institutional influences. China Economic Review, 30, 244–262. https://doi.org/10.1016/j.chieco.2014.07.007
dc.relation.isbasedonBhatti, S. H., Hussain, S., Ahmad, T., Aslam, M., Aftab, M., & Raza, M. A. (2018). Efficient estimation of Pareto model: Some modified percentile estimators. PLoS ONE, 13(5), 1–15. https://doi.org/10.1371/journal.pone.0196456
dc.relation.isbasedonBieniek, M. (2016). Comparison of the bias of trimmed and winsorized means. Communications in Statistics – Theory and Methods, 45(22), 6641–6650. https://doi.org/10.1080/03610926.2014.963620
dc.relation.isbasedonBradshaw, M. T. (2012). Discussion of “Analysts’ industry expertise”. Journal of Accounting and Economics, 54(2–3), 121–131. https://doi.org/10.1016/j.jacceco.2012.09.003
dc.relation.isbasedonBryson, M. (1974). Heavy-Tailed Distributions: Properties and Tests. Technometrics, 16(1), 61–68. https://doi.org/10.1080/00401706.1974.10489150
dc.relation.isbasedonBuček, J. (2012). Crisis in Slovakia 2009–2010: from saving the economy to saving public finance. In G. Gorzelak, K. Fazekas, & C.-C. Goh (Eds.), Adaptability and change: the regional dimensions in Central and Eastern Europe (pp. 334–359). Warszawa: Wydawnictwo Naukowe Scholar.
dc.relation.isbasedonChaudhuri, P. (1996). On a Geometric Notion of Quantiles for Multivariate Data. Journal of the American Statistical Association, 91(434), 862–872. https://doi.org/10.2307/2291681
dc.relation.isbasedonClauset, A., Shalizi, C. R., & Newman, M. E. J. (2009). Power-law distributions in empirical data. SIAM Review, 51(4), 661–703. https://doi.org/10.1137/070710111
dc.relation.isbasedonDanielsson, J., Ergun, L. M., de Haan, L., & de Vries, C. G. (2016). Tail index estimation: quantile driven threshold selection (Discussion Paper Series 58). London: London School of Economics and Political Science. https://doi.org/10.2139/ssrn.2717478
dc.relation.isbasedonDeloitte Forensic Center. (2009). Ten things about financial statement fraud: A review of SEC enforcement releases, 2000–2008 (3rd ed.). London: Deloitte Development. Retrieved December 31, 2019, from https://assets.corporatecompliance.org/Portals/1/Users/169/29/60329/10%20Things%20about%20financial%20statement%20fraud.pdf
dc.relation.isbasedonECCBSO [European Committee of Central Balance-Sheet Data Offices]. (2019). BACH userguide summary. BACH Working Group. Retrieved December 31, 2019, from https://www.bach.banque-france.fr/index.php?page=telechargementFile&file=Summary_Userguide.pdf
dc.relation.isbasedonFirth, M., Rui, O. M., & Wu, W. (2011). Cooking the books: Recipes and costs of falsified financial statements in China. Journal of Corporate Finance, 17(2), 371–390. https://doi.org/10.1016/j.jcorpfin.2010.09.002
dc.relation.isbasedonGaynor, J., Engel, J., Long, L., Auxier, S., & Goldman, L. (2005). Judges training manual for the ISU Judging System. Colorado Springs, CO: US Figure Skating. Retrieved December 31, 2019, from https://www.usfsa.org/content/module4pgs30-34.pdf
dc.relation.isbasedonHall, P., & Welsh, A. H. (1985). Adaptive estimates of parameters of regular variation. The Annals of Statistics, 13(1), 331–341.
dc.relation.isbasedonHallin, M., Paindaveine, D., & Šiman, M. (2010). Multivariate quantiles and multiple-output regression quantiles: From L1 optimization to halfspace depth. The Annals of Statistics, 38(2), 635–669. https://doi.org/10.1214/09-AOS723
dc.relation.isbasedonHarada, N., & Kageyama, N. (2011). Bankruptcy dynamics in Japan. Japan and the World Economy, 23(2), 119–128. https://doi.org/10.1016/j.japwor.2011.01.002
dc.relation.isbasedonHill, B. (1975). A simple general approach to inference about the tail of a distribution. The Annals of Statistics, 3(5), 1163–1174.
dc.relation.isbasedonICE Benchmark Administration. (2019). ICE LIBOR methodology (Approved July 9, 2019). London: ICE Benchmark Administration. Retrieved December 31, 2019, from https://www.theice.com/publicdocs/ICE_LIBOR_Methodology.pdf
dc.relation.isbasedonInekwe, J. N., Jin, Y., & Valenzuela, M. R. (2018). The effects of financial distress: Evidence from US GDP growth. Economic Modelling, 72, 8–21. https://doi.org/10.1016/j.econmod.2018.01.001
dc.relation.isbasedonInekwe, J. N., Jin, Y., & Valenzuela, M. R. (2019). Financial conditions and economic growth. International Review of Economics & Finance, 61, 128–140. https://doi.org/10.1016/j.iref.2019.02.001
dc.relation.isbasedonJurečková, J., & Picek, J. (2016). Robust statistical methods with R. Boca Raton, FL: Chapman & Hall/CRC.
dc.relation.isbasedonKonstantaras, K., & Siriopoulos, C. (2011). Estimating financial distress with a dynamic model: Evidence from family owned enterprises in a small open economy. Journal of Multinational Financial Management, 21(4), 239–255. https://doi.org/10.1016/j.mulfin.2011.04.001
dc.relation.isbasedonKooperberg, C., & Stone, C. J. (1992). Logspline density estimation for censored data. Journal of Computational and Graphical Statistics, 1(4), 301–328. https://doi.org/10.2307/1390786
dc.relation.isbasedonKoráb, P., & Poměnková, J. (2014). Financial crisis and financing constraints of SMEs in Visegrad countries. Ekonomický časopis, 62(9), 887–902.
dc.relation.isbasedonLeuz, C., & Verrecchia, R. (2000). The economic consequences of increased disclosure. Journal of Accounting Research, 38, 91–124. https://doi.org/10.2307/2672910
dc.relation.isbasedonLesáková, Ľ., Ondrušová, A., & Vinczeová, M. (2019). Factors determining profitability of small and medium enterprises in selected industry of mechanical engineering in the Slovak Republic – the empirical study. E&M Economics and Management, 22(2), 144–160. https://doi.org/10.15240/tul/001/2019-2-010
dc.relation.isbasedonMarkham, J. W. (2006). A Financial History of Modern U.S. Corporate Scandals: From Enron to Reform. Abingdon: Routledge.
dc.relation.isbasedonMikosch, T. (2009). Non-Life Insurance Mathematics: An Introduction with the Poisson Process (2nd ed.). Berlin: Springer. https://doi.org/10.1007/978-3-540-88233-6
dc.relation.isbasedonMunasinghe, R., Kossinna, P., Jayasinghe, D., & Wijeratne, D. (2019). Fast Tail Index Estimation for Power Law Distributions in R (Vignette to the R package ptsuite). Retrieved December 31, 2019, from https://cran.r-project.org/web/packages/ptsuite/vignettes/ptsuite_vignette.pdf
dc.relation.isbasedonNair, J., Wierman, A., & Bert, Z. (2013). The fundamentals of heavy-tails: properties, emergence, and identification. ACM SIGMETRICS Performance Evaluation Review, 41(1), 387–388. https://doi.org/10.1145/2465529.2466587
dc.relation.isbasedonNational Bank of Slovakia. (2016). NBS monthly bulletin: March 2016. Bratislava: National Bank of Slovakia. Retrieved December 31, 2019, from https://www.nbs.sk/_img/Documents/_MonthlyBulletin/2016/ mb0316en.pdf
dc.relation.isbasedonNational Bank of Slovakia. (2019). NBS monthly bulletin: March 2019. Bratislava: National Bank of Slovakia. Retrieved December 31, 2019, from https://www.nbs.sk/_img/Documents/_MonthlyBulletin/2019/ mb0319en.pdf
dc.relation.isbasedonNewman, M. E. J. (2005). Power laws, Pareto distributions and Zipf’s law. Contemporary Physics, 46(5), 323–351. https://doi.org/10.1080/00107510500052444
dc.relation.isbasedonPrášilová, P. (2012). Determinants of capital structure within Czech companies. E&M Economics and Management, 15(1), 89–104.
dc.relation.isbasedonProfini. (2018). Analýza súčasného stavu odvetvových štandardov na Slovensku a ich využitie na zefektívnenie verejných politík (Research report on Project NFP314011L717). Bratislava: Profini. Retrieved December 31, 2019, from http://www.profini.sk/informacie-o-projekte-nfp314011l717
dc.relation.isbasedonRezaee, Z. (2005). Causes, consequences, and deterence of financial statement fraud. Critical Perspectives on Accounting, 16(3), 277–298. https://doi.org/10.1016/S1045-2354(03)00072-8
dc.relation.isbasedonSedláček, J. (2007). Analysis of the development of financial efficiency of enterprises in the Czech Republic. Ekonomický časopis, 55(1), 3–18.
dc.relation.isbasedonSerrano Cinca, C., Mar Molinero, C., & Gallizo Larraz, J. L. (2005). Country and size effects in financial ratios: a European perspective. Global Finance Journal, 16(1), 26–47. https://doi.org/10.1016/j.gfj.2005.05.003
dc.relation.isbasedonSkokan, K., & Pawliczek, A. (2014). Lifecycle dynamics of Czech and Slovak enterprises in selected regions. Ekonomický časopis, 62(7), 728–742.
dc.relation.isbasedonSmall, C. G. (1990). A Survey of Multidimensional Medians. International Statistical Review, 58(3), 263–277. https://doi.org/10.2307/1403809
dc.relation.isbasedonSornette, D. (2006). Critical Phenomena in Natural Sciences: Chaos, Fractals, Selforganization and Disorder: Concepts and Tools (2nd ed.). Berlin: Springer. https://doi.org/10.1007/3-540-33182-4
dc.relation.isbasedonTóth, P. (2017). When are we in recession? Estimating recession probabilities for Slovakia. Biatec, 25(4), 31–35.
dc.relation.isbasedonTukey, J. W. (1970). Some Further Inputs. In D. F. Merriam (Ed.), Geostatistics: Computer Applications in the Earth Sciences (pp. 163–174). New York, NY: Plenum Press. https://doi.org/10.1007/978-1-4615-7103-2_12
dc.relation.isbasedonWilcox, R. R., & Keselman, H. J. (2003). Modern robust data analysis methods: measures of central tendency. Psychological Methods, 8(3), 254–274. https://doi.org/10.1037/1082-989X.8.3.254
dc.relation.isbasedonWilson, P. (2016). 2017 Almanac of Business & Industrial Financial Ratios (48th annual edition). Chicago, IL: Wolters Kluwer.
dc.relation.ispartofEkonomie a Managementcs
dc.relation.ispartofEconomics and Managementen
dc.relation.isrefereedtrue
dc.rightsCC BY-NC
dc.subjectIndustry statisticsen
dc.subjectfinancial ratiosen
dc.subjecttrimmed meanen
dc.subjectwinsorized meanen
dc.subjectquantileen
dc.subjectnon-sense valuesen
dc.subjectpower law in the tailen
dc.subject.classificationC19
dc.subject.classificationM10
dc.subject.classificationM40
dc.titleMethodology of Industry Statistics: Averages, Quantiles and Responses to Atypical Valueen
dc.typeArticleen
local.accessopen
local.citation.epage137
local.citation.spage120
local.facultyFaculty of Economics
local.filenameEM_3_2020_8
local.fulltextyes
local.relation.abbreviationE+Mcs
local.relation.abbreviationE&Men
local.relation.issue23
local.relation.volume3
Files
Original bundle
Now showing 1 - 1 of 1
Loading...
Thumbnail Image
Name:
EM_3_2020_08.pdf
Size:
870.64 KB
Format:
Adobe Portable Document Format
Description:
článek
Collections