## A comparison of the performances of procedures for selecting the normal population having the largest mean when the populations have a common unknown variance |

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### Contents

The planning of the Monte Carlo sampling experiments | 10 |

Discussion of Monte Carlo sampling results | 24 |

Concluding remarks | 33 |

### Common terms and phrases

10,000 MC experiments achieved probability Army Research Office associated with max B-D-S procedure Bechhofer 1954 CN CN CN OO CN TP COMMON UNKNOWN VARIANCE configuration Cornell University correct selection Corresponding single-stage procedure dd dd dd eliminating procedure EM-configurations Equal—means estimated winner Estimates of achieved expected number expected total number experimentation G-K procedure Gupta and Kim independent observations k(nj LARGEST MEAN Least-favorable LF LF Procedure nl Mark Hartmann Mathematical Sciences Institute MC sampling results McMaster University NORMAL POPULATION number of observations number of stages number of vector-observations observations to termination oo oo oo Operations Research overprotect P{CS Percentiles performance characteristics PERFORMANCES OF PROCEDURES population associated population means populations indicated probability requirement procedure of Bechhofer PROCEDURES FOR SELECTING procedures under consideration sample means second stage selected values SELECTING THE NORMAL single-stage procedure requires terminate sampling termination of sampling TP O TP TP TP U.S. Army Research variance is unknown