Given an MLE and an estimate of the least squares mean in the transformed scale, we compute and as follows:
Given a point estimate of the least squares mean in the original scale and an approximation to its variance, we can compute an approximate 100(1–α)% confidence interval for the true mean in the original scale in the usual manner:
where df is the appropriate degrees of freedom. In our case, and due to relatively large sample sizes everywhere, the t critical value can be replaced by the corresponding upper α/2 tail of the standard normal distribution.
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Appendix 3-7: Marginal Mean and Variance of Transformed Response Variables ."
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