ci.ratio.mad2 {statpsych}

Confidence interval for a 2-group ratio of mean absolute deviations

Description

Computes a confidence interval for a ratio of population MADs (mean absolute deviation from median) in a 2-group design.

Usage

ci.ratio.mad2(alpha, y1, y2)

Arguments

alpha

alpha level for 1-alpha confidence

y1

vector of scores for group 1

y2

vector of scores for group 2

Value

Returns a 1-row matrix. The columns are:

• MAD1 - estimated MAD from group 1

• MAD2 - estimated MAD from group 2

• MAD1/MAD2 - estimate of MAD ratio

• LL - lower limit of the confidence interval

• UL - upper limit of the confidence interval

References

Bonett DG, Seier E (2003). “Confidence intervals for mean absolute deviations.” The American Statistician, 57(4), 233–236. ISSN 0003-1305, doi:10.1198/0003130032323.

Examples

y1 <- c(32, 39, 26, 35, 43, 27, 40, 37, 34, 29)
y2 <- c(36, 44, 47, 42, 49, 39, 46, 31, 33, 48)
ci.ratio.mad2(.05, y1, y2)

# Should return:
#     MAD1     MAD2  MAD1/MAD2        LL       UL
# 5.111111 5.888889  0.8679245 0.4520879 1.666253