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A two sample cest is proposea ior Liie hypuLiiefexo in.; LUSL observations from a second sample are equivalent, in distribution, to the smallest of r independent realisations of the first sample. Assuming H to be true the efficiency of parameter estimation for the exponential and normal distributions is then considered more...

The beta distribution is used as a model for obtaining sampling plans when material is in bulk form and the random variable is the fraction of material having a given characteristic. The model seems to be particularly appropriate when observations are c.. more...

A method of constructing simultaneous interval estimates for linear combinations involving q (at most) of p group means is given. To obtain percentage points to cover the case of unequal group variances the requirement of equal replications within groups is needed. Tables for q=2 are given, which includes the important practical application of all paired comparisons. Extension of the tables to q>2 involves tedious numerical integration and is of less practical utility. The method also applies when the within group variances are equal (or a known ratio of a common variance, for there is now no need for equal within group replication) but does not give, for most practical circumstances, shorter intervals than established techniques. more...