Compute a confidence interval for a ratio of population means of ratio-scale measurements in a paired-samples design. Equality of variances is not assumed.
ci.ratio.mean.ps(alpha, y1, y2)
alpha level for 1-alpha confidence
vector of measurement 1 scores
vector of measurement 2 scores
Returns a 1-row matrix. The columns are:
Mean1 - estimated measurement 1 mean
Mean2 - estimated measurement 2 mean
Mean1/Mean2 - estimate of mean ratio
LL - lower limit of the confidence interval
UL - upper limit of the confidence interval
Bonett DG, Price RM (2020). “Confidence intervals for ratios of means and medians.” Journal of Educational and Behavioral Statistics, 45(6), 750--770. ISSN 1076-9986, doi:10.3102/1076998620934125 .
y1 <- c(3.3, 3.6, 3.0, 3.1, 3.9, 4.2, 3.5, 3.3)
y2 <- c(3.0, 3.1, 2.7, 2.6, 3.2, 3.8, 3.2, 3.0)
ci.ratio.mean.ps(.05, y1, y2)
#> Mean1 Mean2 Mean1/Mean2 LL UL
#> [1,] 3.4875 3.075 1.134146 1.09417 1.175583
# Should return:
# Mean1 Mean2 Mean1/Mean2 LL UL
# [1,] 3.4875 3.075 1.134146 1.09417 1.175583