Three tasks were all completed by the participants, and the three tasks were completed in three ways (individual, pair, and group work). I want to know: 1. which task yields the best results in learning when completed in individual, pair or group work?2, Will there be a significant difference in comparing individual, pair and group work in each task? In this regard, what kind of analysis should be used? Repeated-measures ANOVA or mixed-effects model, or per-post-test response multiple regression analysis? Any reference? Thanks
The data can be analysed by ANOVA arranging the data according to tasks and by the way. I believe your hypothesis should be that the performance vary by the method (way) chosen. If any single way is best for all the tasks then we can expect that interaction effects are non-significant. Presence of significant interactions indicate that performance is not consistent by tasks. Some tasks can be performed better when done individually while some tasks can be done better in a group. So interaction effects should be viewed seriously in your situation of data analysis. In my opinion your data demands analysis by ANOVA.
I have two concerns about the study.
The first is that I would expect the order of the tasks to be counterbalanced such that each task is in the first, second, and third position the same number of times. I am concerned about controlling for practice or order effects. In this case order would be a non-repeated factor and the tasks the repeated factor in the ANOVA. Would each member of the pair or the group be a participant in the study?
The second concern is that the tasks are established to be of equal difficulty. I don't imagine that the tasks are the same in each case.
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