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Q: Improvements to my building based on resident survey ( No Answer,   2 Comments )
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 Subject: Improvements to my building based on resident survey Category: Science > Math Asked by: anilcool-ga List Price: \$5.00 Posted: 11 Jul 2006 20:12 PDT Expires: 10 Aug 2006 20:12 PDT Question ID: 745474
 ```Hi all, I am trying to build a statistical model for improvements to my building. My goal is to look at suggestions from a few residents and then pick the one that is most popular - statistically speaking. Think of the problem as a filtering or a funnelling system, there a lot of ideas at the top and then you keep on filtering till you reach a winning idea. The process can be broken down in the following steps: Step 1: Run a survey with 20 residents, asking them to suggest 1 improvement to the building. I am expecting 1-20 unique improvement ideas from this survey. Step 2: Feed the ideas from Step 1 to another set of 20 residents, and have them pick the top 3 that they like. Say Improvement # 7, 8 & 9 were picked the most. Step 3: Feed the ideas from Step 2 to another set of 20 residents, and have then pick the top 1 improvement. Say improvement # 7 was picked the most. That would be our winner improvement. If there is a tie, in any of these steps, I can either re-run that entire step OR re-run that step with just the 2 tie results till I can find the winning improvement idea. So, as you can see the number of steps can grow quite long. How can I build this model correctly? Is this problem similar to any other statistical problem? I have the flexibility to change the number of residents or the logic to pick results or the number of solicited improvements. But, I have some ground rules & assumptions that are outlined below: 1. The responders at any step can never be more than 20 but they can be less. 2. The winning improvement must be reached sometime within 6 steps. 3. No resident can contribute twice to the survey results. 4. There are infinitely large number of residents in the community. One more concern: Is it good enough to just pick the most frequently picked improvements at every step -- the MODE -- I mean it sounds logical when I say that #7, 8 & 9 were picked the most in Step 2, and therefore they go to the Step 3 for further review, but I'm wondering if there is a more statistical approach to pick the winners at each step. Thanks, -Anil```
 ```Sounds like a good system. Who is paying? Is it your building? If it is, I would drop from the list any suggestions in the first round that you don't agree with or that are too expensive. And I think that you should be careful not to raise hopes too high for those participating, telling that it is all a theoretical exercise.```
 ```Anil, The problem I see is that if your population is infinitely large, a maximum sample size of 20 would not give a good representation of the most desired improvement for the building. Is there any flexibility in your sample size or can you redefine your population? Herkdrvr```