A study of Responsability and Reproductibility is conducted to determine wich me

Question

A study of Responsability and Reproductibility is conducted to determine wich measurement system should be use to monitor a quality characteristic of a product. The specifications for the characteristic are 0 +/- 5. The analysis resuts are the following.

Analysis of Variance for Response, using Adjusted SS for Test

Using the information presented in the table ANOVA,
i) Indicate whether the factors in the analysis were considered fixed or random.
Explain the answer

Source DF Seq SS Adj SS Adj MS F P Part 9 2.058708 2.058708 0.228745 39.72 0.000 Operator 2 0.048000 0.048000 0.024000 4.17 0.033 Part*Operator 18 0.103667 0.103667 0.005759 4.46 0.000 Error 30 0.038750 0.038750 0.001292 TOTAL 59 2.249125

Explanation / Answer

Here both the factors will be consider as the random factors. Since our goal is here to determine which measurment system should be used to monitor quality characteristics. here we are making the statement about the larger population. Importantly randomness is one of the assumption for quality control.

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