I hope the mini-statistics lecture was helpful. Oh one last comment while the test was statistially different frm zero, the question is whether the average difference is of practical importance to your work. Yes, a bit dense, but helpful. Thank you. Am I correct in saying that, based on the p=0.03 of the F statistic for Treatment, the Treatment effect is small, albeit statistically significant at α=0.05? Is it also fair to say that, had the analysis been conducted on unmatched pairs, the Treatment effect would not be statistically significant? Whether the difference is of practical importance, yes it is, because it concerns a long term experiment. The difference may look small to you this year. I expect it to be bigger next year, and so on. Cheers
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I ran a matching comparison between two sets of measurements (Platform: Fit Y by X) using Sample ID as matching variable and Treatment as grouping variable. Obviously, the objective is to see if Treatment has an effect on the dependent variable. Results show that Treatment is significant (p = 0.03) whereas the mean diamonds and common sense indicate it is not. Omiting the non-matching observation (12,2) from the No-till treatment so that both samples have 7 measurements does not change the result. What am I missing?
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