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Correspondence to Author: Kartlos Joseph Kachiashvili^a,b,c, I.K. Kachiashvili^a,c, V.V. Kvaratskhelia ^a,c. 

a. Faculty of Informatics and Control Systems, Georgian Technical University, 77, st. Kostava, Tbilisi, 0175, Georgia, Tel: +995 599 743367, Email: k.kachiashvili@gtu.edu.ge, kkachiashvili@gmail.com
b. Department of Probability Theory and Mathematical Statistics of the I. Vekua Institute of Applied Mathe¬ma¬tics, Tbilisi State University, Tbilisi, Georgia, Email: s.kachiashvili@gtu.edu.ge
c. Department of Informatics of the Muskhelishvili Institute of Computational Mathematics, Georgian Technical University, Tbilisi, Georgia, Email: v.kvaratskhelia@gtu.ge

DOI: 10.52338/jocem.2025.5090

Abstract:

The paper investigates the values of the patient’s lymph nodes measured by ultrasonography in order to determine such a critical value that would exclude the actual size of the gland exceeding the given value, which is necessary for a reliable selection of the treatment method. The uniformity of the arithmetic means and variances of the random component of the observation groups is established. Also, their probability distribution is in accordance with the normal law. Using this, a critical value for the size of a patient’s lymph node measured by ultrasonography has been obtained - when the measured value of the node does not exceed it, a decision is made with a given reliability that the lymph node size is below the critical value

Keywords: lymph node; ultrasonography; computed tomography; Bartlett’s criteria; Fisher’s criteria; Kolmogorov-Smirnov test.

Citation:

Dr.Kartlos Joseph Kachiashvili, Mathematical Method For Determining The Critical Size Of A Lymph Node Using Ultrasonography. Journal of Clinical Endocrinology and Metabolism 2025.