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I have a set of data (positive real numbers < 1) in five categories. My aim is to show that the data in the last category is bigger than the other categories for a range of examples (the data set), but the last category isn't necessarily more important than the others.

I thought the best thing is to average each category and then plot the graph of it which works. But I feel this is too simple and is it good if I look at the standard deviation of each category to show that there isn't too much difference and the average-taking is valid?

Also, I was going to use a scatter plot, is this OK? What would you recommend?

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  • $\begingroup$ Some sort of plot would be sensible to explore the data. It is difficult to comment on your other statements without more information such as what "more important" might mean. $\endgroup$
    – Henry
    May 8, 2011 at 15:36

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For plots, it depends on the size of your data set. With relatively small N, I would do a parallel strip plot, which is more-or-less a scatter plot. I might add jitter to the category variable or change the plotting symbol, or make it transparent, depending on N.

For a test, if you want to test which category has the biggest mean, then ANOVA with an appropriate contrast would be the way to go. For biggest median, you could use quantile regression.

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