We’d like to compare 3 analytical methods A, B and C for measuring the same parameter...

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 “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

A	B	C
202	199	203
201	200	200
201	199	199
200	201	204
202	198	202

Solutions

Expert Solution

Using Minitab:

T Test A&B:

T Test A and C:

T Test B and C:

ANOVA:

Manually:

Using Minitab and Manually both gives same results:

orchestra answered 1 year ago

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