Logistic Regression with Exposure Biomarkers and Flexible Measurement Error

Biometrics ◽  
2006 ◽  
Vol 63 (1) ◽  
pp. 143-151 ◽  
Author(s):  
Elizabeth A. Sugar ◽  
Ching-Yun Wang ◽  
Ross L. Prentice
Sensors ◽  
2020 ◽  
Vol 20 (2) ◽  
pp. 530 ◽  
Author(s):  
Tuba Yilmaz

Open-ended coaxial probes can be used as tissue characterization devices. However, the technique suffers from a high error rate. To improve this technology, there is a need to decrease the measurement error which is reported to be more than 30% for an in vivo measurement setting. This work investigates the machine learning (ML) algorithms’ ability to decrease the measurement error of open-ended coaxial probe techniques to enable tissue characterization devices. To explore the potential of this technique as a tissue characterization device, performances of multiclass ML algorithms on collected in vivo rat hepatic tissue and phantom dielectric property data were evaluated. Phantoms were used for investigating the potential of proliferating the data set due to difficulty of in vivo data collection from tissues. The dielectric property measurements were collected from 16 rats with hepatic anomalies, 8 rats with healthy hepatic tissues, and in house phantoms. Three ML algorithms, k-nearest neighbors (kNN), logistic regression (LR), and random forests (RF) were used to classify the collected data. The best performance for the classification of hepatic tissues was obtained with 76% accuracy using the LR algorithm. The LR algorithm performed classification with over 98% accuracy within the phantom data and the model generalized to in vivo dielectric property data with 48% accuracy. These findings indicate first, linear models, such as logistic regression, perform better on dielectric property data sets. Second, ML models fitted to the data collected from phantom materials can partly generalize to in vivo dielectric property data due to the discrepancy between dielectric property variability.


Biometrika ◽  
2020 ◽  
Author(s):  
Junhan Fang ◽  
Grace Y Yi

Summary Measurement error in covariates has been extensively studied in many conventional regression settings where covariate information is typically expressed in a vector form. However, there has been little work on error-prone matrix-variate data, which commonly arise from studies with imaging, spatial-temporal structures, etc. We consider analysis of error-contaminated matrix-variate data. We particularly focus on matrix-variate logistic measurement error models. We examine the biases induced from naive analysis which ignores measurement error in matrix-variate data. Two measurement error correction methods are developed to adjust for measurement error effects. The proposed methods are justified both theoretically and empirically. We analyse an electroencephalography dataset with the proposed methods.


Biometrics ◽  
2017 ◽  
Vol 74 (1) ◽  
pp. 135-144 ◽  
Author(s):  
John P. Buonaccorsi ◽  
Giovanni Romeo ◽  
Magne Thoresen

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