Application of multilevel models to morphometric data. Part 1. Linear models and hypothesis testing.

O Tsybrovskyy, A Berghold
Author Information
  1. O Tsybrovskyy: Department of Pathology, School of Medicine, University of Graz, Austria. oleksiy.tsybrovskyy@kfunigraz.ac.at

Abstract

Morphometric data usually have a hierarchical structure (i.e., cells are nested within patients), which should be taken into consideration in the analysis. In the recent years, special methods of handling hierarchical data, called multilevel models (MM), as well as corresponding software have received considerable development. However, there has been no application of these methods to morphometric data yet. In this paper we report our first experience of analyzing karyometric data by means of MLwiN - a dedicated program for multilevel modeling. Our data were obtained from 34 follicular adenomas and 44 follicular carcinomas of the thyroid. We show examples of fitting and interpreting MM of different complexity, and draw a number of interesting conclusions about the differences in nuclear morphology between follicular thyroid adenomas and carcinomas. We also demonstrate substantial advantages of multilevel models over conventional, single-level statistics, which have been adopted previously to analyze karyometric data. In addition, some theoretical issues related to MM as well as major statistical software for MM are briefly reviewed.

MeSH Term

Adenoma
Algorithms
Carcinoma
Cell Nucleus
Humans
Image Cytometry
Image Processing, Computer-Assisted
Karyometry
Linear Models
Models, Statistical
Predictive Value of Tests
Reproducibility of Results
Software
Thyroid Neoplasms

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