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Confidence intervals for a 2-group standardized mean difference

Source: R/statpsych1.R
ci.stdmean2.Rd

Computes confidence intervals for a population standardized mean difference. Unweighted, weighted, and single group variance standardizers are used. The square root weighted variance standardizer is recommended in 2-group nonexperimental designs with simple random sampling. The square root unweighted variance standardizer is recommended in 2-group experimental designs. The single group standard deviation standardizer can be used with experimental or nonexperimental designs. Equality of variances is not assumed.

For more details, see Section 2.4 of Bonett (2021, Volume 1)

Usage

ci.stdmean2(alpha, m1, m2, sd1, sd2, n1, n2)

Arguments

alpha

alpha level for 1-alpha confidence

m1

estimated mean for group 1

m2

estimated mean for group 2

sd1

estimated standard deviation for group 1

sd2

estimated standard deviation for group 2

n1

sample size for group 1

n2

sample size for group 2

Value

Returns a 4-row matrix. The columns are:

  • Estimate - estimated standardized mean difference

  • adj Estimate - bias adjusted standardized mean difference estimate

  • SE - standard error

  • LL - lower limit of the confidence interval

  • UL - upper limit of the confidence interval

References

Bonett DG (2008). “Confidence intervals for standardized linear contrasts of means.” Psychological Methods, 13(2), 99–109. ISSN 1939-1463, doi:10.1037/1082-989X.13.2.99 .

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

Examples

ci.stdmean2(.05, 20.9, 19.1, 3.85, 3.19, 50, 50)
#>                          Estimate adj Estimate      SE     LL     UL
#> Unweighted standardizer:   0.5091       0.5052 0.20539 0.1066 0.9117
#> Weighted standardizer:     0.5091       0.5052 0.20328 0.1107 0.9076
#> Group 1 standardizer:      0.4675       0.4603 0.19144 0.0923 0.8427
#> Group 2 standardizer:      0.5643       0.5556 0.23105 0.1114 1.0171

# Should return:
#                          Estimate adj Estimate      SE     LL     UL
# Unweighted standardizer:   0.5091       0.5052 0.20539 0.1066 0.9117
# Weighted standardizer:     0.5091       0.5052 0.20328 0.1107 0.9076
# Group 1 standardizer:      0.4675       0.4603 0.19144 0.0923 0.8427
# Group 2 standardizer:      0.5643       0.5556 0.23105 0.1114 1.0171