See TsumTOSTStatistics.
See TTOSTOptions; the bounds are required.
See TTOSTResult.
RangeError for sizes below 2 (or not integers), standard deviations that are not positive, a correlation outside (-1, 1), missing statistics of the second sample, or the errors of tTOST's options.
tTOST from summary statistics: means, standard deviations, sample sizes and, for paired samples, the correlation of the pairs. Equivalent to
TOSTER::tsum_TOST()in R.The tests and effect sizes are those of tTOST for data with these summaries (Welch's or pooled for two samples; paired from the SD of the differences sqrt(sd1² + sd2² - 2 r12 sd1 sd2)). The one-sided p-values are upper tails where TOSTER takes
1 - pt(t, df), so small ones keep their digits. For paired samples with n1 != n2 the smaller is used, with TOSTER's warningUnequal number of pairs; using smallest n.