ci.ratio.median.ps: Confidence interval for a paired-samples median ratio

In statpsych: Statistical Methods for Psychologists

Confidence interval for a paired-samples median ratio

Description

Computes a distribution-free confidence interval for a ratio of population medians in a paired-samples design. Ratio-scale measurements are assumed. Tied scores within each measurement are assumed to be rare.

For more details, see Section 4.23 of Bonett (2021, Volume 1)

Usage

ci.ratio.median.ps(alpha, y1, y2)

Arguments

alpha	alpha level for 1-alpha confidence
y1	vector of scores for measurement 1
y2	vector of scores for measurement 2 (paired with y1)

Value

Returns a 1-row matrix. The columns are:

• Median1 - estimated median for measurement 1

• Median2 - estimated median for measurement 2

• Median1/Median2 - estimated ratio of medians

• LL - lower limit of the confidence interval

• UL - upper limit of the confidence interval

References

\insertRef

Bonett2020bstatpsych

\insertRef

Bonett2021statpsych

Examples

y1 = c(76.41, 66.91, 81.06, 74.78, 83.76, 89.31, 78.78, 87.06, 82.61, 76.74, 88.33, 86.18)
y2 = c(59.85, 60.64, 84.86, 68.16, 71.53, 86.18, 67.30, 65.46, 83.50, 66.76, 88.37, 65.02)
ci.ratio.median.ps(.05, y1, y2)

# Should return:
# Median1  Median2  Median1/Median2        LL        UL
#  81.835    67.73         1.208253  1.069251  1.365326

statpsych documentation built on Jan. 13, 2026, 1:07 a.m.