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Formulas, based on a normal approximation for the noncentral t-distribution, were developed to compute 100p one-tailed upper limits for future sample relative repeatability and relative reproducibility standard deviations (RSDr, and RSDR,) collaboratively obtained under a completely randomized model. The accuracy of the formulas for obtaining a one-tailed upper limit for the future sample RSDr, was assessed by comparing the computed noncentral t-distribution-based upper limits with the one-tailed upper limits based on a normal approximation for the noncentral t-distribution. The accuracy of the normal approximation formula for obtaining a one-tailed upper limit for a future sample RSDR, was assessed by comparing the formula-based one-tailed upper limits with those obtained in a Monte Carlo simulation study.

journal of aoac international

On Using a Normal Approximation for the Noncentral t-Distribution in Determining Upper Limits for Future Sample Relative Repeatability and Reproducibility Standard Deviations