Related Experiment Video
Updated: May 3, 2026

Methodology for Accurate Detection of Mitochondrial DNA Methylation
Published on: May 20, 2018
Comparison of means of two lognormal distributions based on samples with multiple detection limits
K Krishnamoorthy1, Thomas Mathew, Zhao Xu
1a Department of Mathematics , University of Louisiana at Lafayette , Lafayette , Louisiana.
Abstract:
The problem of comparing the means of two lognormal distributions based on samples with multiple detection limits is considered. Tests and confidence intervals for the ratio of the two means, based on pivotal quantities involving the maximum likelihood estimators, are proposed. The merits of the proposed approaches are evaluated by Monte Carlo simulation. Simulation study indicates that the procedures are satisfactory in terms of coverage probabilities of confidence intervals, and powers of tests. The proposed approach can also be applied to find confidence intervals for the difference between the means of the two lognormal distributions. Illustrative examples with a real data set and with a simulated data set are given.
More Related Videos
08:52Improving Reproducibility to Meet Minimal Information for Studies of Extracellular Vesicles 2018 Guidelines in Nanoparticle Tracking Analysis
Published on: November 17, 2021
14:48Conversion of a Capture ELISA to a Luminex xMAP Assay using a Multiplex Antibody Screening Method
Published on: July 6, 2012
Related Concept Videos
Difference from Background: Limit of Detection
The LOD indicates the presence or absence...
One-Way ANOVA: Equal Sample Sizes
Different sample means can result in different values for the variance estimate: variance between samples. This is because the variance between samples is calculated as the product of the sample size and the variance between the...
Bonferroni Test
The means of different samples are first paired in all possible combinations.
The null hypothesis of the...
Central Limit Theorem
The sample size, n, that...
The Mantel-Cox Log-Rank Test
The Anderson-Darling Test