The paper contributes deriving the confidence intervals according to the use types of hypothesis tests. The guidelines of usuage on the types of hypothesis tests and interval estimation are proposed. These formulars can be used to evaluate the effects of quality improvement activity.

  ANOVA is widely used for measurement system analysis. It assumes that the measurement error is normally distributed, which may not be seen in certain industrial cases. In this study, the exact and bootstrap confidence intervals for precision-to-toleranc

We consider a mixed model with covariates considered as fixed effects and a random factor. In this paper, we consider methods for constructing confidence intervals on measures of variability in repeatability and reproducibility study to the mixed model with fixed effects and random effects. Computer simulation is used to determine how well confidence intervals maintain the stated confidence level and compare confidence interval lengths for the methods. A numerical example is considered to illustrate the confidence intervals proposed.

This paper is to propose tolerance intervals for expected time at the given reliability and confidence level for continuous and discrete reliability model. We consider guaranteed - coverage tolerance intervals, that is, reliability - confidence level tolerance intervals. These proposed methodologies can be applied to any industrial application where the customer's operating specification require a high level of reliability.