Informatics and Applications
December 2013, Volume 7, Issue 4, pp 94-104
ANALYSIS OF DATA HOMOGENEITY OF THE CHEMICAL COMPOSITIONS OF STONES IN CASE OF UROLITHIASIS
- M. P. Krivenko
- S.A. Golovanov
- A. V. Sivkov
Abstract
The article considers the methods for researching homogeneity of the data on chemical composition of
urinary stones. Multidimensionality of the data, scarce spectrum of various values of indicators, impossibility to
apply simple adequate likelihood models to them, and, also, absence of experience in such type of modeling in
the field of urology are the cause of the considered problems specificity. The test of significance based on distance
between sets of points in Euclidean space is suggested and analyzed. It is used to analyze a composition of stones
dependence on the sex of a patient. In the case of analysis of changes in the composition of stones with time (as
time goes), the proposed criterion is used as an element of pairwise comparisons of data for different time intervals.
That is the first time when the idea of approximation of emerging relationships between groups of data with the
help of equivalence relations is used. It allows reasonably carrying out the stratification of the original data. The
experiments produced statistically valid results about the features of urolithiasis depending both on the sex of the
patient and the changes over time.
[+] References (15)
- Ramello, A., C. Vitale, and D. Marangella. 2000. Epidemiology
of nephrolithiasis. J. Nephrol. 13(3):45–50.
- Pak, C.Y., M. I. Resnick, and G.M. Preminger. 1997.
Ethnic and geographic diversity of stone disease. Urology
50(4):504–7.
- Takasaki, E. 1986. Chronologocal variation in the chemical
composition of upper urinary tract calculi. J. Urology
136(1):5–9.
- Trinchieri, A., F. Coppi, E. Montanari, A. Del Nero,
G. Zanetti, and E. Pisani. 2000. Increase in the prevalence
of symptomatic upper urinary tract stones during
the last ten years. Eur. Urol. 37:23–25.
- Arias Funez, F., E. Garcia Cuerpo, F. Lovaco Castellanos,
A. Escudero Barrilero, S. Avila Padilla, and J. Villar
Palasi. 2000. Epidemiologia de la litiasis urinaria en nuestraUnidad.
Evolucion en el tiempo y factores predictivos.
[Epidemiology of urinary lithiasis in our unit. Clinical
course in time and predictive factors]. Arch. Esp. Urol.
53(4):343–47.
- Tiktinskij, O. L., and V. P. Aleksandrov. 2000. Mochekamennaya
bolezn’ [Urolithiasis]. St. Petersburg, Russia:
Piter. 379 p.
- Shubert, G., M. V. Chudnovskaja, M.T. Tynaliev,
N.N. Popovkin, and A.R. Timin. 1990. Osobennosti
khimicheskogo sostava i struktury mochevykh kamney
i ikh rasprostranennost’ v gorodakh Moskve, Berline i
Kirgizskoy SSR [Peculiarities of chemical composition
and structure of urinary stones and their prevalence in
the cities of Moscow, Berlin, and the Kirghiz SSR]. Russ.
J. Urology and Nefrology 5:49–54.
- Freitag, D., and K. Hruska. 1983. Pathophysiology of
nephrolithiasis. The kidney and body fluids in health and
desease. Ed. S. Klahr. N.Y., L.: Plenum Medical Books.
- Hettmansperger, T. P. 2006. Multivariate location tests.
Encyclopedia of statistical sciences. N.Y.: John Wiley&
Sons. 5249–52.
- Minimaa, A., andH. Oja. 2006.Multivariatemedian. Encyclopedia
of statistical sciences. N.Y.: John Wiley&Sons.
5258–66.
- Marden, J. I. 1999. Multivariate rank tests. Multivariate
analysis, design of experiments and survey sampling. Ed.
S. Ghosh. N.Y.: Marcel Dekker. 401–32.
- Chistjakov, S. P. 2010. O novom mnogomernom statisticheskom
kriterii odnorodnosti dvukh vyborok [On a
new multidimensional statistical test of homogeneity of
two samples]. Trudy Karel’skogo Nauchnogo Centra RAN
3:93–97.
- Leman, Je. 1979. Proverka statisticheskikh gipotez [Testing
of statstical hypothesis]. Moscow: Nauka. 408 p.
- Krivenko, M. P. 2011. Zadachi vyborochnogo kontrolya
pri dosmotre lits, bagazha i transporta [The tasks of sampling
during the inspection of persons, baggage, and vehicles].
Obozrenie Prikladnoy i Promyshlennoy Matematiki
18(1):125–26.
- Baringhaus, L., andC.Franz. 2004.On a newmultivariate
two-sample test. J. Multivariate Anal. 88:190–206.
[+] About this article
Title
ANALYSIS OF DATA HOMOGENEITY OF THE CHEMICAL COMPOSITIONS OF STONES IN CASE OF UROLITHIASIS
Journal
Informatics and Applications
December 2013, Volume 7, Issue 4, pp 94-104
Cover Date
2013-12-31
DOI
10.14357/19922264130410
Print ISSN
1992-2264
Publisher
Institute of Informatics Problems, Russian Academy of Sciences
Additional Links
Key words
tests of homogeneity; stratification; bootstrap method; urolithiasis
Authors
M. P. Krivenko , S.A. Golovanov , and A. V. Sivkov
Author Affiliations
Institute of Informatics Problems, Russian Academy of Sciences, Moscow, Russia
Research Institute of Urology, Moscow, Russia
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