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whuber
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Most appropriate statistical treatment where participants select five statements from a list

I generated a list of 35 proven benefits on a subject and asked the public to choose five which would be most likely to influence their behaviour.

43 respondents cast 215 votes, and three of the benefits received many more votes than the others.

What would be the best statistical tool to measure the significance of this result?

Clarifications: The research has been motivated by the practical difficulty of promoting all 35 benefits to the public, in order to generate a change in behaviour. The research aim was to make an initial determination whether each benefit was likely to have an equal influence on the public. Before seeing the responses I expected a fairly even distribution across all benefits but this was not the case. The top three benefits were at least 10 votes clear of the fourth most popular. Four benefits received no votes at all. I hope to demonstrate the pattern of response is statistically significant for x number of the benefits, and that future promotional material should focus on these as the most likely benefits to generate change.

Each of the benefits is distinct from the other, though the first 13 would come under the category of environmental, then 9 economic and 13 social, and it would be desirable to consider the data by these groups in addition to considering each individual benefit.

The respondents selected the five benefits from the list of 35 that were most likely to influence a change in their behaviour, they did not rank their five choices and successive votes did not affect previous ones, other than you could only vote for each benefit once.

Many thanks for the initial responses and prompts to clarify and I hope I have remembered everything!

Steve
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