Comparing k Independent Sample Means with a Known Standard

Abstract

Methods are presented for testing the null hypothesis H₀: μ₁ = … = μ_k = μ₀ where μ₀ is a specified standard value. Both one-sided and two-sided alternative hypotheses are considered. For each case, an overall test procedure is initially discussed and then followed by a multiple comparison procedure. The critical values required for the multiple comparison procedures have been tabulated previously. The methods presented are simple to use and should be widely applicable in quality control inspection.

• Analysis of Means
• Analysis of Variance
• Likelihood Ratio Test
• Multiple Comparisons
• Multivariate t Distribution

Additional information

Notes on contributors

Robert W. Mee

Dr. Mee is an Assistant Professor in the Department of Mathematics and Statistics.

Arvind K. Shah

Dr. Shah is an Associate Professor in the Department of Mathematics and Statistics.

John J. Lefante

Dr. Lefante is an Assistant Professor in the Department of Mathematics and Statistics.