aipe.smd: Sample size planning for the standardized mean different from the accuracy in parameter estimation approach

Description

A set of functions that ss.aipe.smd calls upon to calculate the appropriate sample size for the standardized mean difference such that the expected value of the confidence interval is sufficiently narrow.

Usage

ss.aipe.smd.full(delta, conf.level, width, ...)
ss.aipe.smd.lower(delta, conf.level, width, ...)
ss.aipe.smd.upper(delta, conf.level, width, ...)

Arguments

delta

the population value of the standardized mean difference

conf.level

the desired degree of confidence (i.e., 1-Type I error rate)

width

desired width of the specified (i.e., Lower, Upper, Full) region of the confidence interval

...

specify additional parameters in functions these functions call upon

Value

Warning

The returned value is the sample size per group. Currently only ss.aipe.smd.full returns the exact value. However, ss.aipe.smd.lower and ss.aipe.smd.upper provide approximate sample size values.

References

Cohen, J. (1988). Statistical power analysis for the behavioral sciences (2nd ed.). Hillsdale, NJ: Lawrence Erlbaum.

Cumming, G. & Finch, S. (2001). A primer on the understanding, use, and calculation of confidence intervals that are based on central and noncentral distributions, Educational and Psychological Measurement, 61, 532--574.

Hedges, L. V. (1981). Distribution theory for Glass's Estimator of effect size and related estimators. Journal of Educational Statistics, 2, 107--128.

Kelley, K. (2005). The effects of nonnormal distributions on confidence intervals around the standardized mean difference: Bootstrap and parametric confidence intervals, Educational and Psychological Measurement, 65, 51--69.

Kelley, K., Maxwell, S. E., & Rausch, J. R. (2003). Obtaining Power or Obtaining Precision: Delineating Methods of Sample-Size Planning, Evaluation and the Health Professions, 26, 258--287.

Kelley, K., & Rausch, J. R. (2006). Sample size planning for the standardized mean difference: Accuracy in Parameter Estimation via narrow confidence intervals. Psychological Methods, 11(4), 363--385.