*! version 1.0.0 30Jun2023

Title

robinson -- Robinson's coefficient of agreement

Syntax

robinson
rater1
rater2
[rater3 ...]
[if] [in]

by is allowed with robinson; see [D] by.

Description

robinson computes Robinson's coefficient of agreement between 2 or more raters (Robinson 1957). In the case of two raters, the coefficient is
linearly related to the intraclass correlation (ICC) coefficient for a two-way mixed effects model by: ICC = (2 * A) - 1, where A is Robinson's
agreement coefficient. In the case of more than 2 raters, ICC = (k * A - 1) / (k - 1), where k is the number of raters and A is Robinson's
coefficient. The only difference between the ICC and Robinson's agreement coefficient is that the range of values of the ICC is -1 to 1, while the range of
values of the agreement coefficient is 0 to 1 (Robinson 1957).

Examples

Setup

. robinson.dta

A banker and janitor in a small New England village were asked to rate on a 6 point scale the socioeconomic status of the families they knew in common.

. robinson banker janitor

We now apply the bootstrap to compute 95% confidence intervals

. bootstrap robinson = r(robinson), reps(1000): robinson banker janitor

. estat bootstrap, all

Stored results

finn stores the following in r():

Scalars

r(nrows) number of rows (observations)

r(ncols) number of columns (raters)

r(ssb) sum of squares - between

r(ssw) sum of squares - within

r(ssr) sum of squares - residual

r(sstotal) sum of squares - total

r(robinson) Robinson's coefficient of agreement

References

Robinson, W. S. 1957. The statistical measurement of agreement. American Sociological Review 22: 17-25.

Citation of robinson

robinson is not an official Stata command. It is a free contribution
to the research community, like a paper. Please cite it as such:

Linden A. (2023). ROBINSON: Stata module to compute Robinsons's coefficient of agreement.

Authors

Ariel Linden

President, Linden Consulting Group, LLC

alinden@lindenconsulting.org

Also see

Online: icc, finn (if installed), kappaetc (if installed)