statpsych (version 2.0.0)

ci.agree.3rater: Computes confidence intervals for a 3-rater design with dichotomous ratings

Description

Computes adjusted Wald confidence intervals for a G-index of agreement for all pairs of raters in a 3-rater design with a dichotomous rating, and computes adjusted Wald confidence intervals for differences of all pairs of G agreement. An adjusted Wald confidence interval for unanimous G agreement among the three raters is also computed. In the three-rater design, unanimous G agreement is equal to the average of all pairs of G agreement. The G-index corrects for chance agreement.

Usage

ci.agree.3rater(alpha, f)

Value

Returns a 7-row matrix. The rows are:

• G(1,2): G-index for raters 1 and 2

• G(1,3): G-index for raters 1 and 3

• G(2,3): G-index for raters 2 and 3

• G(1,2)-G(1,3): difference in G(1,2) and G(1,3)

• G(1,2)-G(2,3): difference in G(1,2) and G(2,3)

• G(2,3)-G(1,3): difference in G(2,3) and G(1,3)

• G(3): G-index of unanimous agreement for all three raters

The columns are:

• Estimate - estimated G-index (two-rater, difference, or unanimous)

• LL - lower limit of adjusted Wald confidence interval

• UL - upper limit of adjusted Wald confidence interval

Arguments

alpha

alpha level for 1-alpha confidence

f

vector of frequency counts from 2x2x2 table where f = [ f111, f112, f121, f122, f211, f212, f221, f222 ], first subscript represents the rating of rater 1, second subscript represents the rating of rater 2, and third subscript represents the rating of rater 3

References

Bonett2022statpsych

Examples

f <- c(100, 6, 4, 40, 20, 1, 9, 120)
ci.agree.3rater(.05, f)

# Should return:
#               Estimate      LL      UL
# G(1,2)          0.5667  0.4660  0.6524 
# G(1,3)          0.5000  0.3956  0.5912
# G(2,3)          0.8667  0.7970  0.9135
# G(1,2)-G(1,3)   0.0667  0.0058  0.1266
# G(1,2)-G(2,3)  -0.3000 -0.4068 -0.1892
# G(2,3)-G(1,3)  -0.3667 -0.4622 -0.2663
# G(3)            0.6444  0.5738  0.7069