Method of substitution with group measurements as a metrological basis of comparative methodical approach application

Authors

DOI:

https://doi.org/10.33987/vsed.2(66).2018.256-268

Keywords:

real estate valuation/appraising, metrological approach, market value, estimation error, estimation accuracy, substitution method, group measurement

Abstract

The metrological principles of the economic measurements implementation using the comparative methodical approach are considered in the article. According to the proposed approach using the substitution method, the set of compared objects is treated as a group measurement standard, which with a certain accuracy reproduces the single indicator of value, which is appropriate to the selection objects. Every individual object of comparison representing this set in that case is treated as an unambiguous measurement of the single indicator of value. It is shown that in the case if for the set of compared objects, including evaluation object, homogeneity condition for this parameter is satisfied, it may be replaced by this group measurement in order to determine cost indicators of the evaluation object. The basic proportions to determine the influence of systematic and random errors in this case are formulated and analyzed. The obtained analytical equations describing the errors of the substitution method using the group measurement standard give an opportunity to analyze the share of the systematic component in the overall measurement error of estimating value of the evaluation object. The possibilities of reducing the influence of systematic component of measurement error, introduced by the compared objects, are obtained and mathematically proved. Practical recommendations for increasing accuracy and reliability of evaluation results are formulated.

Author Biographies

Yuri Pozdnyakov, Експертна рада Українського товариства оцінювачів у Львівській області

Leading expert appraiser, Member of Ukrainian Society of Appraisers, representative of UAA Expert council in Lviv region

Maria Lapishko, Institute of Entrepreneurship and Advanced Technologies of the National University «Lviv Polytechnic»

PhD in Economics, Professor, Department of Finance, Accounting and Analysis

References

Voronin, V., Lyantse, E. V., Mamchin, M. M. (2014). Real estate market analytics: methodology and principles of modern appraising: monograph [Analityka rynku nerukhomosti: metodolohiia ta pryntsypy suchasnoi otsinky: monohrafiia], Mahnoliia 2006, Lviv, 304 s. [in Ukrainian]

Friedman, Jack P., Ordway, Nicholas (1995). Income property. Appraisal and analysis. Trans. from Eng. V. Lavrentyevа, L. Poznanskaya, O. Tikhonova [Analiz i otsenka prinosyaschey dokhod nedvizhimosti, per. s angl. V. Lavrentevoy, L. Poznanskoy, O. Tikhonovoy], Delo Ltd., Moskva, 480 s. [in Russian]

Markus, Ya. I., Markus, V. V., Melnichenko, S. A., Pozdnyakov, Yu. V. and other (2009). Informal approaches to the real estate estimation in modern economic conditions [Neformalnye podkhody k otsenke nedvizhimosti v sovremennykh ekonomicheskikh usloviyakh], Praktika

otsenki, No. 5 (32), s. 18–22 [in Russian]

Markus, Ya. I., Pozdnyakov, Yu. V., Kalapusha, A. L., Mescheryakov, V. V. and other (2011). Relativity of estimation: hypotheses, postulates, consequences [Otnositelnost otsenki: gipotezy, postulaty, sledstviya], Praktika otsenki imushchestva, Gorizont media, Kiev, No. 3, 112 s. [in Russian]

Pozdniakov, Yu. V., Lapishko, M. L., Hokhberh, I. I. (2015). Methodical error when calculating the discount value of expected future revenue flows for the periods that consist of not integer number of years [Metodychna pokhybka pry rozrakhunku dyskontovanoi vartosti ochikuvanykh maibutnikh potokiv dokhodiv dlia periodu, shcho stanovyt netsile chyslo rokiv], Rozvytok finansovoi systemy krain Tsentralnoi ta Skhidnoi Yevropy, Lvivskyi instytut bankivskoi spravy Natsionalnoho banku Ukrainy (Ukraina); Krakivskyi ekonomichnyi universytet (Respublika Polshcha), Vyp. 5, s. 134–149 [in Ukrainian]

Hokhberh, I. I., Pozdniakov, Yu. V. (2010). About some possibilities of increasing the reliability of determining the indicator of market value of land in modern conditions [Pro deiaki mozhlyvosti pidvyshchennia dostovirnosti vyznachennia pokaznyka rynkovoi vartosti zemelnykh dilianok v suchasnykh umovakh], Visnyk otsinky, No. 2, s. 45–48 [in Ukrainian]

Lapishko, M. L., Pozdniakov, Yu. V., Hokhberh, I. I. (2015). Increasing indirect capitalization method accuracy for the prognosis period expressed by non-integer [Pidvyshchennia tochnosti metodu nepriamoi kapitalizatsii dlia prohnoznoho periodu, vyrazhenoho netsilym chyslom], Ekonomichni nauky, Seriia «Oblik i finansy», Lutskyi natsionalnyi tekhnichnyi universytet, Lutsk, Vyp. 12 (45), Ch. 3, s. 172–191 [in Ukrainian]

Pozdniakov, Yu. V., Lapishko, M. L. (2017). Methodological error of the capitalization rate obtained by cumulative build-up method [Metodychna pokhybka vyznachennia stavky kapitalizatsii za metodom kumuliatyvnoi pobudovy], Ekonomichni nauky, Seriia «Oblik i finansy», Lutskyi natsionalnyi tekhnichnyi universytet, Lutsk, Vyp. 41 (53), s. 152–162 [in Ukrainian]

Pozdniakov, Yu. V., Lapishko, M. L., Hokhberh, I. I. (2016). Research of relative methodical error in the application of indirect capitalization method for the prognosis period expressed by non-integer [Doslidzhennia vidnosnoi metodychnoi pokhybky pry zastosuvanni metodu nepriamoi kapitalizatsii dlia prohnoznoho periodu, vyrazhenoho netsilym chyslom], Sotsialno-ekonomichni problemy suchasnoho periodu Ukrainy, DU Instytut rehionalnykh doslidzhen im. M. I. Dolishnoho NAN Ukrainy, Lviv, Vyp. 4 (120), s. 101–105 [in Ukrainian]

Ermishin, S. M. (2000). Theoretical basis of creation of group means measurement [Teoreticheskie osnovy sozdaniya gruppovykh sredstv izmereniy], Izmeritelnaya tekhnika, No. 2, s. 11–15 [in Russian]

Bezuglov, D. A., Pomortsev P. M. (2001). Estimating the unit of the physical quantity of a collective working standard from the results of intragroup comparisons by utilizing the maximum-likelihood criterion. Measurement techniques, Vol. 44, pp. 1–8.

Ermishin, S. M. (1995). Control of metrological descriptions of measurement means on the basis of group measurement [Kontrol metrologicheskikh kharakteristik izmeritelnykh sredstv na osnove gruppovoy mery], Izmeritelnaya tekhnika, No. 4, s. 7–10 [in Russian]

Sadovnikov, E. P., Krivov, A. S., Dolgov, V. A., Sadovnikov, E. E. (1983). Algorithmic method of increasing group standards accuracy [Algoritmicheskiy metod povysheniya tochnosti gruppovykh etalonov], Izmeritelnaya tehnika, No. 11, s. 11–13 [in Russian]

On Approval of the National Standard No. 1 «General principles of property and property rights estimation»: Law of Ukraine, No. 1440, 10.09.2003 [Pro zatverdzhennia Natsionalnoho standartu No. 1 «Zahalni zasady otsinky maina i mainovykh prav»: Postanova Kabinetu Ministriv Ukrainy No. 1440, 10.09.2003], available at: http://zakon2.rada.gov.ua/laws/show/1440-2003-п [in Ukrainian]

On Approval of the National Standard No. 2 «Real estate valuation»: Law of Ukraine, No. 1442, 28.10.2004 [Pro zatverdzhennia Natsionalnoho standartu No. 2 «Otsinka nerukhomoho maina»: Postanova Kabinetu Ministriv Ukrainy, No. 1442, 28.10.2004], available at: http://zakon5.rada.gov.ua/laws/show/1442-2004-п [in Ukrainian]

Published

2018-06-26

Issue

Section

Mathematical methods, models and information technologies in economics