Evidence map›Paper›PMID 26185732›Full record

ArticleJournal of biometrics & biostatistics

A New Robust Method for Nonlinear Regression.

M A Tabatabai, J J Kengwoung-Keumo, W M Eby, S Bae, U Manne, M Fouad, K P Singh

Abstract read
In one paragraph

Article in Journal of biometrics & biostatistics. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 2 papers.

0numbers the graph read from it
0cells of the map it votes in
2citing papers in PubMed
–field-weighted citation impact
1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.

Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.

3 · Its place in the literature

Who cites it

2 citing papers in PubMed.

  1. Article
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4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

7 authors.

M A TabatabaiSchool of Graduate Studies and Research, Meharry Medical College, Nashville, TN 37208, USA.
J J Kengwoung-KeumoDepartment of Mathematical Sciences, Cameron University, Lawton, OK 73505, USA.
W M EbyDepartment of Mathematics, New Jersey City University, Jersey City, NJ 07305, USA.
S BaeDepartment of Medicine Division of Preventive Medicine and Comprehensive Cancer Center, University of Alabama Birmingham, Birmingham, AL 35294, USA.
U ManneDepartment of Pathology and Comprehensive Cancer Center, University of Alabama Birmingham, Birmingham, AL 35294, USA.
M FouadDepartment of Medicine Division of Preventive Medicine and Comprehensive Cancer Center, University of Alabama Birmingham, Birmingham, AL 35294, USA.
K P SinghDepartment of Medicine Division of Preventive Medicine and Comprehensive Cancer Center, University of Alabama Birmingham, Birmingham, AL 35294, USA.

Funding

XRAY CRYSTALLOGRAPHYP30CA013148 · NCI · UNIVERSITY OF ALABAMA AT BIRMINGHAM · PI MICHAEL JAMES BERTRAM · 1985 to 2026
$165.9M
Treatment of HIV- and HIV+ Patients with HPV16+ CIN2/3 Using pNGLV4a-hCRTE6E7L2 DNA vaccine administered intramuscularly via electroporationP50CA098252 · NCI · JOHNS HOPKINS UNIVERSITY · PI WARNER KING HUH, TZYY-CHOOU WU · 2003 to 2026
$53.5M
TRAINING AND CAREER DEVELOPMENTU54CA118948 · NCI · UNIVERSITY OF ALABAMA AT BIRMINGHAM · PI UPENDER MANNE · 2005 to 2026
$26.6M
Research Education CoreU54CA118623 · NCI · TUSKEGEE UNIVERSITY · PI Fan Wu · 2005 to 2026
$20.2M
Molecular and Soc. Determinants of Obesity and Metabolic Disorders in YouthU54MD008176 · NIMHD · UNIVERSITY OF ALABAMA AT BIRMINGHAM · PI FOUAD, MONA N. · 2012 to 2016
$13.7M
INFRASTRUCTURE IIG12MD007585 · NIMHD · TUSKEGEE UNIVERSITY · PI YATES, CLAYTON · 2012 to 2016
$4.6M
NCI NIH HHS P30 CA013148NCI NIH HHS P50 CA098252NCI NIH HHS U54 CA118623NCI NIH HHS U54 CA118948NIMHD NIH HHS G12 MD007585NIMHD NIH HHS U54 MD008176
6 · The paper itself

Abstract

backgroundWhen outliers are present, the least squares method of nonlinear regression performs poorly. The main purpose of this paper is to provide a robust alternative technique to the Ordinary Least Squares nonlinear regression method. This new robust nonlinear regression method can provide accurate parameter estimates when outliers and/or influential observations are present.

methodReal and simulated data for drug concentration and tumor size-metastasis are used to assess the performance of this new estimator. Monte Carlo simulations are performed to evaluate the robustness of our new method in comparison with the Ordinary Least Squares method.

resultsIn simulated data with outliers, this new estimator of regression parameters seems to outperform the Ordinary Least Squares with respect to bias, mean squared errors, and mean estimated parameters. Two algorithms have been proposed. Additionally and for the sake of computational ease and illustration, a Mathematica program has been provided in the Appendix.

conclusionThe accuracy of our robust technique is superior to that of the Ordinary Least Squares. The robustness and simplicity of computations make this new technique more appropriate and useful tool for the analysis of nonlinear regressions.

Indexed as

Growth modelsLeast Square estimatorMetastasisMonte-carlo simulationRobust nonlinear regressionTumor size

Identifiers

PMID26185732
PMCPMC4501042

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Registered trials

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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.