Although lambda is the population noncentral value, an estimate of it is the observed value of a
t-statistic. Likewise, delta can be estimated as the observed standardized mean difference. Thus, the observed
standardized mean difference can be converted to the observed t-value. These functions are especially helpful in the
context of forming confidence intervals for the population standardized mean difference.
References
Kelley, K. (2007). Confidence intervals for standardized effect sizes:
Theory, application, and implementation. Journal of Statistical
Software, 20(8), 1--24. tools:::Rd_expr_doi("10.18637/jss.v020.i08")