Abstract

Abstract When a number of parameters are to be estimated at the same time, simultaneous confidence intervals are employed to control the probability that all the intervals to be constructed will contain their true parameter values. If Tukey's method is used to calculate simultaneous 95% confidence intervals for the differences between all pairs of population means in a multigroup experiment, then, in the long run, all the intervals so constructed will contain the true population mean differences for 95% of experiments. Scheffé's method allows the construction of simultaneous confidence intervals for more complex contrasts between means.

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