Repeated measures ANOVA can be regarded as an extension of the paired t-test, used in situations where repeated measurements of the same variable are taken at different points in time (a time series) or under different conditions. Such situations are common in drug trials, but their analysis has certain complexities. Parametric tests based on the normal distribution assume that data sets being compared are independent. This is not the case in a repeated measures study design because the data from different time points or under different conditions come from the same subjects. This means the data sets are related, to account for which an additional assumption has to be introduced into the analysis.
I concur with the author’s assertion that in repeated measures design, dependencies are formed among data points; however, I would question the notion that this is always a “complexity.” Although it may confuse analysis, it also enriches the study design and discourages individual differences. When the same group of participants was to be measured over again, then we lessen the variability arising from differences between people, which can actually reduce the statistical power of the test. This is by no means an exhaustive list of situations in which it helps to have a firm grasp on the concept, but consider just one example. In behavior analysis or health research, we often measure how well someone is doing, how stressed they are, or how much better they are getting at more than one point in time. This way,y you will be able to utilize the test to verify that observed changes are attributed only to intervention and not random variation or participant differences. Hereby, the material does an interesting job in showing us the importance of acknowledging dependencies in longitudinal data and using appropriate statistical techniques, having that in mind as opposed to assuming that repeated observations are indeed independent.