Check if this link helps you:

https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3165924/

A while ago I used Lin's Concordance coefficient and gave formula for 95% c.i.).

Method The coefficient ρc is derived by Lin (1989) by considering how well the relationship between the measurements is represented by a line through the origin at an angle of 45 degrees (as would be generated if the two measurements generated identical results): ρc = 1 - dc2 / du2 where dc2 is the expected squared perpendicular deviation from the line, and du2 is the expected squared perpendicular deviation from the line when the measurements are uncorrelated. This can be written as ρc = ρ × Cb The term ρ is the standard Pearson product-moment correlation coefficient, while Cb is a bias correction factor which is calculated by Cb = 2 / (v + 1/v + u2) v = s1 / s2 u = (m1 - m2) / √(s1 × s2) where mi and si (i = 1,2) are the mean and standard deviation of the ith set of measurements. The Z-transformation is Z = 0.5 × (log(1 + ρc) / log(1 - ρc)) The standard deviation of the Z-transformed coefficient is calculated as defined by Lin (2000). Action with RESTRICT If any of the DATA variates is restricted, the coefficient is calculated only for the units not excluded by the restriction.

References Lin, L.I. (1989). A concordance correlation coefficient to evaluate reproducibility. Biometrics, 45, 255-268. Lin, L.I. (2000). A note on the concordance correlation coefficient. Biometrics, 56, 324-325.

Mewa Singh Dhanoa hello sir thank you.. can you please send me your paper?

here it is

Mewa Singh Dhanoa thanks a lot for the paper. I understood how to convert a concordance correlation coefficient to Z score. But How can I compare two such Z scores obtained from 2 concordance correlation coefficients?

For Pearson Correlation coefficient i found the formula from the following lecture

http://core.ecu.edu/psyc/wuenschk/docs30/CompareCorrCoeff.pdf

should i follow the same formula ?

as implemented in GENSTAT, we get 95% C.I. and see if these intervals overlap or not [ To test reproducibility we expect regression slope to be equal to '1.0' ]

How do we report the results of Fisher z-transformation in a paper?

well z is normally distributed, so look up probability of the value of z & then report probability in the paper

you can use t-test as well:=> from

GENSTAT

Genstat 64-bit Release 19.1 ( PC/Windows 7) 17 July 2019 09:34:51 Copyright 2018, VSN International Ltd. Registered to: Mewa S. Dhanoa Dan

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PRCORRELATION procedure

Calculates probabilities for product moment correlations (R.W. Payne).

Method

PRCORRELATION uses the fact that, for a correlation r based on n observations, the variable t = r × √((n - 2) / (1 - r2)) has a t distribution on n-2 degrees of freedom.