Add superiority test to oneway analyses indicating the probability of being superior by different margins.
Add superiority test to oneway analyses indicating the probability of being superior by different margins.
Add a test to produce p values of superiority tests at a range of distances and output those to a table or graph as shown below.
Consider a trial where a process change is made. Results are compared with current performance and a t test determines that the process was improved (the mean shifted) with a p-value of 0.05 and a superiority test in JMP 17 indicates that the mean shifted by at least 0.01 with a p value of 0.12, but neither tells a whole story. To make an informed decision, we would want to know information like:
- 5% chance the process stayed the same or got worse
- 90% chance the process improved by at least 0.01
- 50% chance the process improved by at least 0.006
- 5% change the process improved by at least 0.011
Here is a post with two potential methods of calculating these values:
Compare means test: graph probability by difference in means
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