ON THE ESTIMATION OF THE EXPECTED PROBABILITY OF MISCLASSIFICATION IN DISCRIMINANT ANALYSIS WITH MIXED BINARY AND CONTINUOUS VARIABLES

Author(s):  
IOANNIS G. VLACHONIKOLIS
2014 ◽  
Vol 48 (2) ◽  
pp. 127-136 ◽  
Author(s):  
Ernesto Roldan-Valadez ◽  
Camilo Rios ◽  
David Cortez-Conradis ◽  
Rafael Favila ◽  
Sergio Moreno-Jimenez

Abstract Background. Histological behavior of glioblastoma multiforme suggests it would benefit more from a global rather than regional evaluation. A global (whole-brain) calculation of diffusion tensor imaging (DTI) derived tensor metrics offers a valid method to detect the integrity of white matter structures without missing infiltrated brain areas not seen in conventional sequences. In this study we calculated a predictive model of brain infiltration in patients with glioblastoma using global tensor metrics. Methods. Retrospective, case and control study; 11 global DTI-derived tensor metrics were calculated in 27 patients with glioblastoma multiforme and 34 controls: mean diffusivity, fractional anisotropy, pure isotropic diffusion, pure anisotropic diffusion, the total magnitude of the diffusion tensor, linear tensor, planar tensor, spherical tensor, relative anisotropy, axial diffusivity and radial diffusivity. The multivariate discriminant analysis of these variables (including age) with a diagnostic test evaluation was performed. Results. The simultaneous analysis of 732 measures from 12 continuous variables in 61 subjects revealed one discriminant model that significantly differentiated normal brains and brains with glioblastoma: Wilks’ λ = 0.324, χ2 (3) = 38.907, p < .001. The overall predictive accuracy was 92.7%. Conclusions. We present a phase II study introducing a novel global approach using DTI-derived biomarkers of brain impairment. The final predictive model selected only three metrics: axial diffusivity, spherical tensor and linear tensor. These metrics might be clinically applied for diagnosis, follow-up, and the study of other neurological diseases.


2015 ◽  
Vol 8 (7) ◽  
pp. 41 ◽  
Author(s):  
Zahra Shayan ◽  
Naser Mohammad Gholi Mezerji ◽  
Leila Shayan ◽  
Parisa Naseri

<p><strong>BACKGROUND: </strong>Logistic regression (LR) and linear discriminant analysis (LDA) are two popular<strong> </strong>statistical models for prediction of group membership. Although they are very similar, the LDA makes more assumptions about the data. When categorical and continuous variables used simultaneously, the optimal choice between the two models is questionable. In most studies, classification error (CE) is used to discriminate between subjects in several groups, but this index is not suitable to predict the accuracy of the outcome. The present study compared LR and LDA models using classification indices.</p><p><strong>METHODS:</strong> This cross-sectional study selected 243 cancer patients. Sample sets of different sizes (n = 50, 100, 150, 200, 220) were randomly selected and the CE, B, and Q classification indices were calculated by the LR and LDA models.</p><p><strong>RESULTS:</strong> CE revealed the a lack of superiority for one model over the other, but the results showed that LR performed better than LDA for the B and Q indices in all situations. No significant effect for sample size on CE was noted for selection of an optimal model. Assessment of the accuracy of prediction of real data indicated that the B and Q indices are appropriate for selection of an optimal model.</p><p><strong>CONCLUSION:</strong> The results of this study showed that LR performs better in some cases and LDA in others when based on CE. The CE index is not appropriate for classification, although the B and Q indices performed better and offered more efficient criteria for comparison and discrimination between groups.</p>


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