# New MSA file using ANOVA - January 2010

B

#### Barbara B

I don't know if this is the t-value riosimbolon mentioned, but the 1.662 can be found in your "MSA 3rd Ed with ANOVA.xls" (Intro to Measurement System Analysis (MSA) of Continuous Data – Part 5b: R&R), sheet "Stability", cell U43 (called "t_critical alpha=.05" in U42).

According to the MSA manual the critical t-value should be derived using
t^(-1)_{nu, 1-alpha/2}
(1-alpha/2)-quantile of the t-distribution with "nu" degrees of freedom, "nu" from table C1 (appendix C) in MSA 3rd (formula: see p.89 in MSA 3rd and p94 in MSA4th, resp.)

Table C1 does provide "nu"-numbers for a maximum of m=20 readings within a subgroup and a maximum of g=20 subgroups. At the bottom of the table it is stated that further "nu"-values could be build by using cd (constant difference). For a subgroup sample size of m=5 readings, the "nu"-value for g=20 subgroups is 72.7 and the cd=3.623. To obtain the "nu"-value for g=25 subgroups cd have to be added 5 times to the g=20-subgroups-"nu"-value (because 25 = 20 + 5 subgroups):
nu = 72.7 + 5*3.623 = 90.815

1-alpha/2 = 0.975 (for alpha=5%)

The critical t-value for the bias test with m=5 readings, g=20 subgroups and alpha=5% is given by
t^(-1)_{nu, 1-alpha/2} = t^(-1)_{90.815, 0.975} = 1.9864

But in the Excel file 1.662 is presented as the critical t-value. If alpha is set to 10%, this would be the correct value:
t^(-1)_{nu, 1-alpha/2} = t^(-1)_{90.815, 0.95} = 1.6618
(checked with R and Minitab)

Maybe this occurs due to Excel's use of alpha-values within the function TINV (see "A one-tailed t-value..." on TINV function) which differs from the usual behaviour of statistical software packages?

Best regards,

Barbara

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#### Shuwang

Thank you very much. For be learing MSA, this is the most comprehensive I had seen before. Thank you!

#### Miner

##### Forum Moderator
Staff member
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Re: New MSA 4th Ed file using ANOVA - September 2013

After several requests, I have updated my MSA - ANOVA file to the 4th Edition. I included the data sets used in the manual where applicable. The Bias and Linearity tabs include all of the 4th edition changes. However, I made selective changes to the R&R tab. I added the option to use known process variation rather than relying solely on the study variation. I did not add the option to use Ppk. I had limited time, and if you have Ppk, you also have the process variation. I also did not add the multitude of graphs. Frankly, most where simply variants of the existing graphs (i.e., stacked versus unstacked) or in my experience were of limited value.

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#### Peter_Tan

The Excel file, named MSA 4th Ed with ANOVA.xlsx, is good for me to learn how to do variable MSA study with ANOVA. But in the file I cannot find the sheet labeled "Graph Worksheet" which is used to format the results in order to generate the graphs summary as shown in instructions tab. May I know where the "Grsph Worksheet" is or let me how to do it to learn more graph analysis? Thanks!

#### Miner

##### Forum Moderator
Staff member
Admin
I hid the tab to prevent accidental modification of the formulae. Just unhide the tabs.

P

#### Peter_Tan

I got it to unhide the sheet. It is useful for me to learn step by step how to do the graph analysis. Thanks!

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#### Rio BP Simbolon

I already downloaded, I tried that Excel-Anova-program, but how use it if there are more than 3 appraisal,

#### Jim Wynne

Staff member
Admin
I already downloaded, I tried that Excel-Anova-program, but how use it if there are more than 3 appraisal,
There shouldn't be a need to use more than three operators. The idea is to select operators who represent the skills of a typical production user of the device, not to test everyone who might use it.

#### optomist1

##### A Sea of Statistics
Trusted Information Resource
Re: New MSA file using ANOVA

Miner, which do you prefer Minitab or Excel?

Regards,
Optomist 1

#### Miner

##### Forum Moderator
Staff member
Admin
Minitab, definitely.

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