We'd like to compare 3 analytical methods A, B, and C for measuring the same parameter to determine whether those 3 methods are equivalent or not Perform three separate t tests to compare method A to method B, method A to method C, and method B to method C using results in the Table below If using Minitab, make sure to check the Assume equal variances box under options for each t test Perform ANOVA and compare the results with the t tests you did Repeat the same t tests, but now use the ''pooled'' variance estimate (that is the MSE value you'll get from the ANOVA calculations) for each t test (in this case it'll be easier to perform the tests manually without Minitab) Explain why the results are different from those obtained earlier When is it appropriate to perform separate t tests Table Results of essays comparing three analytical methods A B C 202 199 203 201 200 200 201 199 199 200 201 204 202 198 202 An engineer selects 10 parts that represent the expected range of the process variation Three operators measure the 10 parts, three times per part, in random order Conduct a Crossed Gage R R Study using the GageData xls spreadsheet to evaluate the capability of the measurement system used Comment on the results (what can you say about this measurement system's ability to do the job )

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We'd like to compare 3 analytical methods A, B, and C for measuring the same parameter to determine whether those 3 methods are equivalent or not.
1. Perform three separate t-tests to compare method A to method B, method A to method C, and method B to method C using results in the Table below. If using Minitab, make sure to check the "Assume equal variances" box under "options" for each t-test.
2. Perform ANOVA and compare the results with the t-tests you did.
3. Repeat the same t-tests, but now use the ''pooled'' variance estimate (that is the MSE value you'll get from the ANOVA calculations) for each t-test (in this case it'll be easier to perform the tests manually - without Minitab). Explain why the results are different from those obtained earlier. When is it appropriate to perform separate t-tests?

Table: Results of essays comparing three analytical methods

An engineer selects 10 parts that represent the expected range of the process variation. Three operators measure the 10 parts, three times per part, in random order. Conduct a Crossed Gage R&R Study using the "GageData.xls" spreadsheet to evaluate the capability of the measurement system used. Comment on the results (what can you say about this measurement system's ability to do the job?).