“Concordance correlation coefficient”的意思、由来-开放百科全书

In statistics, the concordance correlation coefficient measures the agreement between two variables, e.g., to evaluate reproducibility or for inter-rater reliability.

Definition

where

and

are the means for the two variables and

and

are the corresponding variances.

is the correlation coefficient between the two variables.

When the concordance correlation coefficient is computed on a

-length data set (i.e.,

paired data values

, for

), the form is

Whereas the ordinary correlation coefficient (Pearson's) is immune to whether the biased or unbiased versions for estimation of the variance is used, the concordance correlation coefficient is not. In the original article Lin suggested the 1/N normalization,^[1]

i.e., the concordance correlation coefficient may be computed slightly differently between implementations.

Relation to other measures of correlation

The concordance correlation coefficient is nearly identical to some of the measures called intra-class correlations. Comparisons of the concordance correlation coefficient with an "ordinary" intraclass correlation on different data sets found only small differences between the two correlations, in one case on the third decimal.^[2] It has also been stated^[3] that the ideas for concordance correlation coefficient "are quite similar to results already published by Krippendorff^[4]

In the original article^[1] Lin suggested a form for multiple classes (not just 2). Over ten years later a correction to this form was issued.^[5]

One example of the use of the concordance correlation coefficient is in a comparison of analysis method for functional magnetic resonance imaging brain scans.^[6]

External links

References

1. ^¹²³{{Cite journal | author = Lawrence I-Kuei Lin | title = A concordance correlation coefficient to evaluate reproducibility | journal = Biometrics | volume = 45 | issue = 1 | pages = 255–268 |date=March 1989 | pmid = 2720055 | doi = 10.2307/2532051 | jstor = 2532051 }}
2. ^¹{{Cite journal | author = Carol A. E. Nickerson | title = A Note on "A Concordance Correlation Coefficient to Evaluate Reproducibility | journal = Biometrics | volume = 53 | issue = 4 | pages = 1503–1507 |date=December 1997 | doi = 10.2307/2533516 | jstor = 2533516 }}
3. ^{{Cite journal |author1=Reinhold Müller |author2=Petra Büttner | title = A critical discussion of intraclass correlation coefficients |journal = Statistics in Medicine |date=December 1994 | volume = 13 | issue = 23–24 | pages = 2465–2476 | pmid = 7701147 | doi = 10.1002/sim.4780132310}}
4. ^{{Cite book | author = Klaus Krippendorff | chapter = Bivariate agreement coefficients for reliability of data | editor = E. F. Borgatta | title = Sociological Methodology | journal = Sociological Methodology | volume = 2 | pages = 139–150 | publisher = Jossey-Bass | location = San Francisco | year = 1970 | doi = 10.2307/270787| title-link = Sociological Methodology | jstor = 270787 }}
5. ^{{Cite journal | author = Lawrence I-Kuei Lin | title = A Note on the Concordance Correlation Coefficient | journal = Biometrics | volume = 56 | pages = 324–325 |date=March 2000 | doi = 10.1111/j.0006-341X.2000.00324.x}}
6. ^{{Cite journal | author = Nicholas Lange, Stephen C. Strother, J. R. Anderson, Finn Årup Nielsen, Andrew P. Holmes, Thomas Kolenda, Robert L. Savoy and Lars Kai Hansen | title = Plurality and resemblance in fMRI data analysis | journal = NeuroImage |date=September 1999 | volume = 10 | issue = 3 Part 1 | pages = 282–303 | doi = 10.1006/nimg.1999.0472 | pmid = 10458943| citeseerx = 10.1.1.158.6688 }}

For a small Excel and VBA implementation by Peter Urbani see [https://www.academia.edu/attachments/52086555/download_file?st=MTQ4OTA1OTg4MSwxOTYuMzQuMjUwLjE4LDEyMjEwMTI%3D&s=profile here]