statpsych (version 2.0.0)

ci.cod: Confidence interval for a coefficient of dispersion

Description

Computes a confidence interval for a population coefficient of dispersion (COD). The COD is a mean absolute deviation from the median divided by the median. The coefficient of dispersion assumes ratio-scale scores and is a robust alternative to the coefficient of variation (see ci.cv). An approximate standard error is recovered from the confidence interval.

For more details, see Section 1.27 of Bonett (2021, Volume 1)

Usage

ci.cod(alpha, y)

Value

Returns a 1-row matrix. The columns are:

• Estimate - estimated coefficient of dispersion

• SE - recovered standard error

• LL - lower limit of the confidence interval

• UL - upper limit of the confidence interval

Arguments

alpha

alpha level for 1-alpha confidence

y

vector of scores

References

Bonett2006statpsych

Bonett2021statpsych

Examples

y <- c(30, 20, 15, 10, 10, 60, 20, 25, 20, 30, 10, 5, 50, 40, 20, 10, 0, 20, 50)
ci.cod(.05, y)

# Should return:
#  Estimate        SE        LL       UL
# 0.5921053 0.1814708 0.3813259 1.092679