Comparison of Different Experimental Designs With an Equal Number of Total Measurements With Three Samplesa
Experimental Design: Day × Run × Replicate . | False Acceptance Rate for Between-Day Imprecision, % . | . | . | False Acceptance Rate for Between-Run Imprecision, % . | . | . | False Acceptance Rate for Repeatability, % . | . | . |
---|---|---|---|---|---|---|---|---|---|
. | Actual Factor of Increase From Claimed Value . | . | . | . | . | . | . | . | . |
. | 1.1 . | 1.2 . | 1.5 . | 1.1 . | 1.2 . | 1.5 . | 1.1 . | 1.2 . | 1.5 . |
20 × 2 × 2 | 6.8 | 2.3 | 0.1 | 5.8 | 1.7 | 0.0 | 1.2 | 0.0 | 0.0 |
20 × 1 × 4 | 4.3 | 0.9 | 0.0 | — | — | — | 0.5 | 0.0 | 0.0 |
10 × 4 × 2 | 9.2 | 4.1 | 0.3 | 4.1 | 0.8 | 0.0 | 1.2 | 0.0 | 0.0 |
10 × 2 × 4 | 11.9 | 6.6 | 1.1 | 8.2 | 3.4 | 0.2 | 0.5 | 0.0 | 0.0 |
10 × 1 × 8 | 7.5 | 2.8 | 0.1 | — | — | — | 0.3 | 0.0 | 0.0 |
5 × 4 × 4 | 14.1 | 8.8 | 2.2 | 5.8 | 1.7 | 0.0 | 0.5 | 0.0 | 0.0 |
5 × 2 × 8 | 17.8 | 12.5 | 4.6 | 11.9 | 6.6 | 1.1 | 0.3 | 0.0 | 0.0 |
5 × 1 × 16 | 11.9 | 6.6 | 1.1 | — | — | — | 0.3 | 0.0 | 0.0 |
Experimental Design: Day × Run × Replicate . | False Acceptance Rate for Between-Day Imprecision, % . | . | . | False Acceptance Rate for Between-Run Imprecision, % . | . | . | False Acceptance Rate for Repeatability, % . | . | . |
---|---|---|---|---|---|---|---|---|---|
. | Actual Factor of Increase From Claimed Value . | . | . | . | . | . | . | . | . |
. | 1.1 . | 1.2 . | 1.5 . | 1.1 . | 1.2 . | 1.5 . | 1.1 . | 1.2 . | 1.5 . |
20 × 2 × 2 | 6.8 | 2.3 | 0.1 | 5.8 | 1.7 | 0.0 | 1.2 | 0.0 | 0.0 |
20 × 1 × 4 | 4.3 | 0.9 | 0.0 | — | — | — | 0.5 | 0.0 | 0.0 |
10 × 4 × 2 | 9.2 | 4.1 | 0.3 | 4.1 | 0.8 | 0.0 | 1.2 | 0.0 | 0.0 |
10 × 2 × 4 | 11.9 | 6.6 | 1.1 | 8.2 | 3.4 | 0.2 | 0.5 | 0.0 | 0.0 |
10 × 1 × 8 | 7.5 | 2.8 | 0.1 | — | — | — | 0.3 | 0.0 | 0.0 |
5 × 4 × 4 | 14.1 | 8.8 | 2.2 | 5.8 | 1.7 | 0.0 | 0.5 | 0.0 | 0.0 |
5 × 2 × 8 | 17.8 | 12.5 | 4.6 | 11.9 | 6.6 | 1.1 | 0.3 | 0.0 | 0.0 |
5 × 1 × 16 | 11.9 | 6.6 | 1.1 | — | — | — | 0.3 | 0.0 | 0.0 |
aThe claimed ratios of σ day/σ rep and σ run/σ rep are set to 1.5 and 1.2, respectively.
Comparison of Different Experimental Designs With an Equal Number of Total Measurements With Three Samplesa
Experimental Design: Day × Run × Replicate . | False Acceptance Rate for Between-Day Imprecision, % . | . | . | False Acceptance Rate for Between-Run Imprecision, % . | . | . | False Acceptance Rate for Repeatability, % . | . | . |
---|---|---|---|---|---|---|---|---|---|
. | Actual Factor of Increase From Claimed Value . | . | . | . | . | . | . | . | . |
. | 1.1 . | 1.2 . | 1.5 . | 1.1 . | 1.2 . | 1.5 . | 1.1 . | 1.2 . | 1.5 . |
20 × 2 × 2 | 6.8 | 2.3 | 0.1 | 5.8 | 1.7 | 0.0 | 1.2 | 0.0 | 0.0 |
20 × 1 × 4 | 4.3 | 0.9 | 0.0 | — | — | — | 0.5 | 0.0 | 0.0 |
10 × 4 × 2 | 9.2 | 4.1 | 0.3 | 4.1 | 0.8 | 0.0 | 1.2 | 0.0 | 0.0 |
10 × 2 × 4 | 11.9 | 6.6 | 1.1 | 8.2 | 3.4 | 0.2 | 0.5 | 0.0 | 0.0 |
10 × 1 × 8 | 7.5 | 2.8 | 0.1 | — | — | — | 0.3 | 0.0 | 0.0 |
5 × 4 × 4 | 14.1 | 8.8 | 2.2 | 5.8 | 1.7 | 0.0 | 0.5 | 0.0 | 0.0 |
5 × 2 × 8 | 17.8 | 12.5 | 4.6 | 11.9 | 6.6 | 1.1 | 0.3 | 0.0 | 0.0 |
5 × 1 × 16 | 11.9 | 6.6 | 1.1 | — | — | — | 0.3 | 0.0 | 0.0 |
Experimental Design: Day × Run × Replicate . | False Acceptance Rate for Between-Day Imprecision, % . | . | . | False Acceptance Rate for Between-Run Imprecision, % . | . | . | False Acceptance Rate for Repeatability, % . | . | . |
---|---|---|---|---|---|---|---|---|---|
. | Actual Factor of Increase From Claimed Value . | . | . | . | . | . | . | . | . |
. | 1.1 . | 1.2 . | 1.5 . | 1.1 . | 1.2 . | 1.5 . | 1.1 . | 1.2 . | 1.5 . |
20 × 2 × 2 | 6.8 | 2.3 | 0.1 | 5.8 | 1.7 | 0.0 | 1.2 | 0.0 | 0.0 |
20 × 1 × 4 | 4.3 | 0.9 | 0.0 | — | — | — | 0.5 | 0.0 | 0.0 |
10 × 4 × 2 | 9.2 | 4.1 | 0.3 | 4.1 | 0.8 | 0.0 | 1.2 | 0.0 | 0.0 |
10 × 2 × 4 | 11.9 | 6.6 | 1.1 | 8.2 | 3.4 | 0.2 | 0.5 | 0.0 | 0.0 |
10 × 1 × 8 | 7.5 | 2.8 | 0.1 | — | — | — | 0.3 | 0.0 | 0.0 |
5 × 4 × 4 | 14.1 | 8.8 | 2.2 | 5.8 | 1.7 | 0.0 | 0.5 | 0.0 | 0.0 |
5 × 2 × 8 | 17.8 | 12.5 | 4.6 | 11.9 | 6.6 | 1.1 | 0.3 | 0.0 | 0.0 |
5 × 1 × 16 | 11.9 | 6.6 | 1.1 | — | — | — | 0.3 | 0.0 | 0.0 |
aThe claimed ratios of σ day/σ rep and σ run/σ rep are set to 1.5 and 1.2, respectively.
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