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Small sample likelihood inference for the ratio of means. (English) Zbl 1095.62503

Summary: The small sample likelihood inference method [O. E. Barndorff-Nielsen and D. R. Cox, Inference and asymptotics. (1994; Zbl 0826.62004)] is applied to Fieller’s problem for normal distributions with unknown unequal variances and extended to non-normal distributions. The proposed method is applied to a bioequivalence study of two formulations of a drug product. Examples and simulation studies show that the proposed method for the ratio of means demonstrates essentially exact coverage probabilities even for small samples.

MSC:

62F10 Point estimation
62P10 Applications of statistics to biology and medical sciences; meta analysis

Citations:

Zbl 0826.62004
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References:

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