# Invoices by stevencampbell

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```									                                      Attribute Measurement System Analysis
Vendor Invoices
Cost Data Integrity Project

Purpose
Need to make sure that our operating definitions are rock solid and no variation gets introduced based on how we are
measuring things. For example, if two different people measure the same thing and they come up with two different answers,
then we have some degree of variation introduced through bias and we want to measure only real variation. So it is
important to evaluate or gage two things:

1. Repeatability - If the same person measures the same thing, do they still get the same answer?
2. Reproducibility - If someone else measures the same thing, do they get the same answer the first person got?

Note: You may see this referred to as "Gage R & R". Here are a few more tips to keep in mind:

- If physical equipment or instruments are involved in measurement readings, make sure the equipment
is properly calibrated to ensure accuracy.
- People who do the measuring should be well versed in the process and follow a documented step by step
procedure.
- Methods, materials, and even the environment can impact the readings. You want a typical or usual environment
that is representative of how the process really works.
- Over time, you want to have a stable environment. Plotting natural variations using X & R Charts is recommended

Step 1 - Select at least two observers or appraisers to participate in the Measurement System Analysis:

Name of Observers / Appraisers                    1.6 In order to measure repeatability, each person should
1.1 Sherry Minzer                                              make at least two trial runs. Indicate the number of
1.2 Robert Bowers                                              trail runs each person will take:
1.3 Jamin Musului
1.4
1.5

Step 2 - Establish an acceptable criteria regarding if the measurement passes of fails:

2.1   Percent that must be in Agreement >            95%
2.2          Confidence Level in Results >           95%
2.3 Indicate the number of measurements to be taken >                  20

Step 3 - Select the units to be measured, have each observer measure the unit in random order, repeat the process
according to the number of trial runs, and tabulate the results in the table below:

Observ                    Sherry Minzer                                  Robert Bowers
No.        Trial 1        Trial 2    Trial 3   Trial 4    Trial 1        Trial 2    Trial 3
1                   2            2                                 2            2
2                   3            3                                 3            3
3                   2            2                                 2            2
4                   4            4                                 4            4
5                   4            4                                 4            4
6                   2            2                                 4            4
7                   0            0                                 1            1
8                   2            2                                 2            2
9              3          3                                 3   3
10              5          5                                 5   5
11              4          3                                 3   3
12              3          3                                 3   3
13              2          2                                 2   2
14              2          2                                 2   2
15              3          3                                 3   3
16              6          5                                 6   6
17              4          4                                 4   4
18              5          5                                 4   4
19              3          3                                 3   3
20              2          2                                 2   2
21
22
23
24
25
26
27
28
29
30

Step 4 - Determine the Degree of Agreement in the Data

Observations per Each Trial in Agreement by Observer                               Observations in Agreement Betwee
Observ     Observ      Observ    Observ      Observ   Observ            Observ
No.        1.1         1.2       1.3        1.4      1.5               No.
1                1         1          1                                 1
2                1         1          1                                 2
3                1         1          1                                 3
4                1         1          1                                 4
5                1         1          1                                 5
6                1         1          1                                 6
7                1         1          1                                 7
8                1         1          1                                 8
9                1         1          1                                 9
10                1         1          0                                10
11                0         1          1                                11
12                1         1          1                                12
13                1         1          1                                13
14                1         1          1                                14
15                1         1          1                                15
16                0         1          1                                16
17                1         1          1                                17
18                1         1          1                                18
19                1         1          1                                19
20                1         1          1                                20
21                                                                      21
22                                                                      22
23                                                                      23
24                                                                      24
25                   25
26                   26
27                   27
28                   28
29                   29
30                   30
Total Agreements   18   20   19
uced based on how we are
ome up with two different answers,
nly real variation. So it is

same answer the first person got?

make sure the equipment

w a documented step by step

want a typical or usual environment

using X & R Charts is recommended.

nt System Analysis:

epeatability, each person should
l runs. Indicate the number of
2

ndom order, repeat the process

Jamin Musului                                       0
Trial 4    Trial 1         Trial 2   Trial 3   Trial 4   Trial 1   Trial 2       Trial 3   Trial 4
2             2
3             3
2             2
4             4
4             4
4             4
1             1
2             2
3         3
5         4
3         3
3         3
2         2
2         2
3         3
5         5
4         4
4         4
3         3
2         2

Observations in Agreement Between Observers          (May have to revise the tabulation below to fit the tabluation to the left)
Observ 1.1 vs:       Observ 1.2 vs:        Observ 1.3 vs:
1.2      1.3        1.1       1.3        1.1         1.2
1         1 Col J              1 Col K      Col M
1         1                    1
1         1                    1
1         1                    1
1         1                    1
0         0                    1
0         0                    1
1         1                    1
1         1                    1
1         0                    0
0         0                    1
1         1                    1
1         1                    1
1         1                    1
1         1                    1
0         0                    0
1         1                    1
0         0                    1
1         1                    1
1         1                    1
15   14   0   18   0   0
0
Trial 1   Trial 2       Trial 3   Trial 4
it the tabluation to the left)
Attribute Measurement System Analysis
Vendor Invoices
Cost Data Integrity Project

Repeatability Results
Were each of the observers able to repeat within our target of >             95%
Number in                  Meets
Observer / Appraiser               No of Obs Agreement       Percent      Target?
Sherry Minzer                                          20          18        90%   No
Robert Bowers                                          20          20       100%   Yes
Jamin Musului                                          20          19        95%   Yes
0                                             20                     0%   No
0                                             20                     0%   No

Reproducibility Results
How well did each observer do in reproducing the same results as the other observers?
Number in                     Meets
Observer / Appraiser              No of Obs Agreement        Percent       Target?
Observ 1.1 vs:              1.2                    20             15         75% No
Observ 1.1 vs:              1.3                    20             14         70% No
Observ 1.2 vs:              1.3                    20             18         90% No
20                         0% No
20                         0% No

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