TWO-SAMPLE PROFICIENCY ANALYSIS (BASED ON E 2489 - 06 STANDARD)
Table 1: Test Results Sorted by Lab ID
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Sample One Sample Two
Lab Test Result Test Result
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1 1.2200 1.2600
2 1.6200 1.9100
3 1.8200 1.2000
4 0.6000 1.0000
5 2.7500 2.4100
6 1.5500 1.2600
7 1.1700 1.5700
8 1.7600 1.2800
9 1.3500 0.9300
10 1.1800 1.2100
11 1.1900 1.2600
12 1.7100 0.4200
13 2.0300 2.2100
14 1.1000 1.3300
15 1.8400 1.8100
16 1.3900 1.1200
17 1.1300 1.0800
18 1.6600 1.4500
19 1.2800 1.2000
20 1.2400 0.7100
21 0.6900 0.7700
22 1.5400 1.3900
23 1.4300 1.5200
24 0.8400 1.2700
25 0.9800 0.9900
26 1.9700 2.2400
27 4.8900 5.2800
28 1.8500 1.7800
29 1.0900 1.2000
30 1.0700 1.2400
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Table 2: Random Error Quantities in Descending Order
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Random Error
Sample One Sample Two Quantities Within-Laboratory
Count of Labs Lab Test Result Test Result (X-Y)-(Xmed-Ymed) Category
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12 1.7100 0.4200 1.1800 Unusual
3 1.8200 1.2000 0.5100 Typical
20 1.2400 0.7100 0.4200 Typical
8 1.7600 1.2800 0.3700 Typical
9 1.3500 0.9300 0.3100 Typical
5 2.7500 2.4100 0.2300 Typical
6 1.5500 1.2600 0.1800 Typical
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8 from Top 16 1.3900 1.1200 0.1600 Typical
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18 1.6600 1.4500 0.1000 Typical
22 1.5400 1.3900 0.0400 Typical
19 1.2800 1.2000 -0.0300 Typical
28 1.8500 1.7800 -0.0400 Typical
17 1.1300 1.0800 -0.0600 Typical
15 1.8400 1.8100 -0.0800 Typical
15 from Top 25 0.9800 0.9900 -0.1200 Typical
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16 from Top 10 1.1800 1.2100 -0.1400 Typical
1 1.2200 1.2600 -0.1500 Typical
11 1.1900 1.2600 -0.1800 Typical
21 0.6900 0.7700 -0.1900 Typical
23 1.4300 1.5200 -0.2000 Typical
29 1.0900 1.2000 -0.2200 Typical
30 1.0700 1.2400 -0.2800 Typical
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8 from Bottom 13 2.0300 2.2100 -0.2900 Typical
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14 1.1000 1.3300 -0.3400 Typical
26 1.9700 2.2400 -0.3800 Typical
2 1.6200 1.9100 -0.4000 Typical
27 4.8900 5.2800 -0.5000 Typical
7 1.1700 1.5700 -0.5100 Typical
4 0.6000 1.0000 -0.5100 Typical
24 0.8400 1.2700 -0.5400 Typical
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Median for Sample One (Xmed) = 1.370000
Median for Sample Two (Ymed) = 1.260000
Random Error Quantities Statistics:
Median = -0.1300000
Upper Hinge (Median of Top Half) = 0.1600000
Lower Hinge (Median of Bottom Half) = -0.2900001
Interquarile Range = 0.4500000
3 X Interquarile Range = 1.350000
Outer Fence (Upper) = 1.510000
Outer Fence (Lower) = -1.640000
1.5 X Interquarile Range = 0.6750001
Inner Fence (Upper) = 0.8350000
Inner Fence (Lower) = -0.9650002
Reproducibility Standard Deviation (IQR/1.35) = 0.3333334
Table 3: Test Results Sorted in Descending Order
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Sample One Between-Laboratory Sample Two Between-Laboratory
Test Category Test Category
Count of Labs Lab Result Sample One Result Sample Two
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27 4.8900 Extremely Unusual 5.2800 Extremely Unusual
5 2.7500 Unusual 2.4100 Unusual
26 1.9700 Typical 2.2400 Typical
13 2.0300 Typical 2.2100 Typical
2 1.6200 Typical 1.9100 Typical
15 1.8400 Typical 1.8100 Typical
28 1.8500 Typical 1.7800 Typical
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8 from Top 7 1.1700 Typical 1.5700 Typical
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23 1.4300 Typical 1.5200 Typical
18 1.6600 Typical 1.4500 Typical
22 1.5400 Typical 1.3900 Typical
14 1.1000 Typical 1.3300 Typical
8 1.7600 Typical 1.2800 Typical
24 0.8400 Typical 1.2700 Typical
15 from Top 6 1.5500 Typical 1.2600 Typical
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16 from Top 11 1.1900 Typical 1.2600 Typical
1 1.2200 Typical 1.2600 Typical
30 1.0700 Typical 1.2400 Typical
10 1.1800 Typical 1.2100 Typical
19 1.2800 Typical 1.2000 Typical
29 1.0900 Typical 1.2000 Typical
3 1.8200 Typical 1.2000 Typical
16 1.3900 Typical 1.1200 Typical
17 1.1300 Typical 1.0800 Typical
4 0.6000 Typical 1.0000 Typical
25 0.9800 Typical 0.9900 Typical
9 1.3500 Typical 0.9300 Typical
21 0.6900 Typical 0.7700 Typical
20 1.2400 Typical 0.7100 Typical
12 1.7100 Typical 0.4200 Unusual
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Sample Two Statistics:
Median of Test Results = 1.260000
Upper Hinge (Median of Top Half) = 1.570000
Lower Hinge (Median of Bottom Half) = 1.120000
Interquarile Range = 0.4499999
3 X Interquarile Range = 1.350000
Outer Fence (Upper) = 2.920000
Outer Fence (Lower) = -0.2299998
1.5 X Interquarile Range = 0.6749999
Inner Fence (Upper) = 2.245000
Inner Fence (Lower) = 0.4450001
Reproducibility Standard Deviation (IQR/1.35) = 0.3333333
Table 4: Summary of Results for Samples One and Two for Two-Sample Program
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Between-Laboratory Between-Laboratory Random Error
Sample One Category for Sample Two Category for Quantities Within-Lab
Lab Test Result Sample One Test Result Sample Two (X-Y)-(Xmed-Ymed) Category
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1 1.2200 Typical 1.2600 Typical -0.1500 Typical
2 1.6200 Typical 1.9100 Typical -0.4000 Typical
3 1.8200 Typical 1.2000 Typical 0.5100 Typical
4 0.6000 Typical 1.0000 Typical -0.5100 Typical
5 2.7500 Unusual 2.4100 Unusual 0.2300 Typical
6 1.5500 Typical 1.2600 Typical 0.1800 Typical
7 1.1700 Typical 1.5700 Typical -0.5100 Typical
8 1.7600 Typical 1.2800 Typical 0.3700 Typical
9 1.3500 Typical 0.9300 Typical 0.3100 Typical
10 1.1800 Typical 1.2100 Typical -0.1400 Typical
11 1.1900 Typical 1.2600 Typical -0.1800 Typical
12 1.7100 Typical 0.4200 Unusual 1.1800 Unusual
13 2.0300 Typical 2.2100 Typical -0.2900 Typical
14 1.1000 Typical 1.3300 Typical -0.3400 Typical
15 1.8400 Typical 1.8100 Typical -0.0800 Typical
16 1.3900 Typical 1.1200 Typical 0.1600 Typical
17 1.1300 Typical 1.0800 Typical -0.0600 Typical
18 1.6600 Typical 1.4500 Typical 0.1000 Typical
19 1.2800 Typical 1.2000 Typical -0.0300 Typical
20 1.2400 Typical 0.7100 Typical 0.4200 Typical
21 0.6900 Typical 0.7700 Typical -0.1900 Typical
22 1.5400 Typical 1.3900 Typical 0.0400 Typical
23 1.4300 Typical 1.5200 Typical -0.2000 Typical
24 0.8400 Typical 1.2700 Typical -0.5400 Typical
25 0.9800 Typical 0.9900 Typical -0.1200 Typical
26 1.9700 Typical 2.2400 Typical -0.3800 Typical
27 4.8900 Extremely Unusual 5.2800 Extremely Unusual -0.5000 Typical
28 1.8500 Typical 1.7800 Typical -0.0400 Typical
29 1.0900 Typical 1.2000 Typical -0.2200 Typical
30 1.0700 Typical 1.2400 Typical -0.2800 Typical
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Reproducibility Standard Deviation for Sample One = 0.4666667
Reproducibility Standard Deviation for Sample Two = 0.3333333
Pooled Reproducibility Standard Deviation = 0.4055175
Repeatability Standard Deviation = 0.2357023