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

Source: R/statpsych1.R
ci.ratio.mad2.Rd

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

For more details, see Section 2.10 of Bonett (2021, Volume 1)

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 for group 1

  • MAD2 - estimated MAD for 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 .

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

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)
#>      MAD1     MAD2 MAD1/MAD2        LL       UL
#>  5.111111 5.888889 0.8679245 0.4520879 1.666253

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