Skip to contents

Confidence interval for G-index difference in a 2-group design

Source: R/statpsych3.R
ci.agree2.Rd

Computes adjusted Wald confidence intervals for the G-index of agreement within each group and the difference of G-indices.

For more details, see Section 3.5 of Bonett (2021, Volume 3)

Usage

ci.agree2(alpha, n1, f1, n2, f2, k)

Arguments

alpha

alpha level for 1-alpha confidence

n1

sample size (objects) in group 1

f1

number of objects rated in agreement in group 1

n2

sample size (objects) in group 2

f2

number of objects rated in agreement in group 2

k

number of rating categories

Value

Returns a 3-row matrix. The rows are:

  • Row 1: G-index for group 1

  • Row 2: G-index for group 2

  • Row 3: G-index difference

The columns are:

  • Estimate - maximum likelihood estimate of G-index and difference

  • SE - standard error

  • LL - lower limit of adjusted Wald confidence interval

  • UL - upper limit of adjusted Wald confidence interval

References

Bonett DG (2022). “Statistical inference for G-indices of agreement.” Journal of Educational and Behavioral Statistics, 47(4), 438–458. doi:10.3102/10769986221088561 .

Bonett DG (2021). Statistical Methods for Psychologists https://dgbonett.sites.ucsc.edu/.

Examples

ci.agree2(.05, 75, 70, 60, 45, 2)
#>         Estimate      SE     LL     UL
#> G1        0.8667 0.02880 0.6975 0.9481
#> G2        0.5000 0.05590 0.2523 0.6852
#> G1 - G2   0.3667 0.06289 0.1117 0.6089

# Should return:
#         Estimate      SE     LL     UL
# G1        0.8667 0.02880 0.6975 0.9481
# G2        0.5000 0.05590 0.2523 0.6852
# G1 - G2   0.3667 0.06289 0.1117 0.6089