Change search
ReferencesLink to record
Permanent link

Direct link
Analysis of Bias in the Apparent Correlation Coefficient Between Image Pairs Corrupted by Severe Noise
Stockholm University, Faculty of Science, The Wenner-Gren Institute .
Stockholm University, Faculty of Science, The Wenner-Gren Institute .
2010 (English)In: Journal of Mathematical Imaging and Vision, ISSN 0924-9907, E-ISSN 1573-7683, Vol. 37, no 3, 204-219 p.Article in journal (Refereed) Published
Abstract [en]

The correlation coefficient r is a measure of similarity used to compare regions of interest in image pairs. In fluorescence microscopy there is a basic tradeoff between the degree of image noise and the frequency with which images can be acquired and therefore the ability to follow dynamic events. The correlation coefficient r is commonly used in fluorescence microscopy for colocalization measurements, when the relative distributions of two fluorophores are of interest. Unfortunately, r is known to be biased understating the true correlation when noise is present. A better measure of correlation is needed. This article analyses the expected value of r and comes up with a procedure for evaluating the bias of r, expected value formulas. A Taylor series of so-called invariant factors is analyzed in detail. These formulas indicate ways to correct r and thereby obtain a corrected value free from the influence of noise that is on average accurate (unbiased). One possible correction is the attenuated corrected correlation coefficient R, introduced heuristically by Spearman (in Am. J. Psychol. 15:72-101, 1904). An ideal correction formula in terms of expected values is derived. For large samples R tends towards the ideal correction formula and the true noise-free correlation. Correlation measurements using simulation based on the types of noise found in fluorescence microscopy images illustrate both the power of the method and the variance of R. We conclude that the correction formula is valid and is particularly useful for making correct analyses from very noisy datasets.

Place, publisher, year, edition, pages
2010. Vol. 37, no 3, 204-219 p.
Keyword [en]
Correction correlation coefficient, Severely degraded images
National Category
Cell Biology
URN: urn:nbn:se:su:diva-49910DOI: 10.1007/s10851-010-0200-zISI: 000278580600002OAI: diva2:380346
authorCount :3Available from: 2010-12-21 Created: 2010-12-20 Last updated: 2010-12-21Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full text

Search in DiVA

By author/editor
Parmryd, Ingela
By organisation
The Wenner-Gren Institute
In the same journal
Journal of Mathematical Imaging and Vision
Cell Biology

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Altmetric score

Total: 103 hits
ReferencesLink to record
Permanent link

Direct link