Mixed-design ANOVA or one-way ANOVA with delta values I have an experiment with one independent variable with 4 levels (4 different treatments) and 1 dependent variable which was measured twice - before and after the treatment (repeated measures). 
I think there are at least two ways to analyze this:


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*Mixed-design/Split-plot ANOVA:


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*Between-subject variable treatment (4 levels) with within-subject variable time (t1 & t2) and the dependent variable


*One-way ANOVA:


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*Between-subject variable treatment and delta values/change from time (t2-t1) as a dependent variable



What are the advantages and disadvantages of these methods? Which one has more power?
 A: This is a common question and there are variety of ways in which it can be tested. Most importantly, you have to ask yourself if you are interested in delta or in the post-treatment level. Secondly, do the pre-treatment level affect the post-treatment level or not? I personally feel comparing the delta values give very clear information as to the degree of benefit by each of the treatments. However, there are some cases where pre test is done only for detection of disease, e.g. blood sugar in diabetes, then treatment is given and much later the post-treatment blood sugar test is done. Here it may be sound reasonable to compare just the post-treatment values without taking pre- levels into consideration or by doing a regression analysis where post-level is the dependent variable and pre-level is a covariate. You need to ask yourself what exact question you want to answer and then pick the best approach. Another approach is to evaluate post/pre ratio, which in some cases may even be better than delta values. 
