ࡱ> QSP MbjbjVV 8&<< N 8,;2B(Oe{{{AAAAAAA$ZDFAA{{hA%#%#%#^{{A%#A%#%#q;>{ |AvU=,AB02B=pGGX>G>%#AAe!2BG : Outline for Testing the Guides Level 6 Guides TIMING This session is 15 mins. RESOURCES Each pair of participants needs a copy of 4 pairs of randomly generated samples of 30, 100 and 1000 from the same population. Electronic resources available online at  HYPERLINK "http://www.censusatschool.org.nz" www.censusatschool.org.nz: Workshop resources Outline Testing the Level 6 Guides, The Level 6 Guides.doc, checkguide-n30.doc, checkguide-n100.doc, checkguide-n1000.doc PLAN Setting the scene This session looks at the Year 11 guides Level 6 guides. We will look at the level six guide in detail and then we will test the situation where we would not expect to make a call and confirm that we dont make a call. Hand out the level 6 guides sheet. Talk through the hand out sheet, it is pretty self explanatory. In class students were shown pairs of samples of 30 and would mark the distance between the medians in red and the distance between the lowest and highest quartiles in blue. They described the shift of the medians and whether or not it was too close make a call. As part of their descriptions the students should be commenting on the shift and overlap. This was repeated for samples of 100 and 1000. For the purpose of what we are doing today, we are going to give you the box-plots for 4 pairs of randomly generated samples of each of the sample sizes 30, 100 and 1000. Two samples have been randomly chosen from the same population (Girls aged 13 heights). We will be comparing the medians of the samples that have been taken from the same population. In your pairs, you will have copies of different samples. There are approximately 52 different samples across the group. Activity Hand out the A4 activity sheets, one each of n=30, 100, 1000 to the pairs. As you can see we are continuing to use PPDAC focusing on the analysis and conclusion phase. You will be using the guides for making a call at Level 6. Use a method similar to the students, the eyes have it! Mark difference between the medians, mark the overall visual spread. Compare the two, for n=30 is the difference more than 1/3 of the overall visual spread? If so we can make a call, otherwise it is too close to call. Do the same for n=100, we are using 1/5 and for n= 1000 we are using 1/10. Show an example (checkguide-n30). You will be looking closely at identifying the number of times it is too close to call (expected) and the number of times you would make a call (false call). We know we wouldnt want to make a call that one is bigger because we have done the same thing twice (i.e. both samples are taken from the same population). You have a few minutes to do this. Wrap up Just quickly we want to pull together the collective from the group of what the samples were telling us. Can I get a show of hands (one per pair) for those groups who could make a call (should not be many) for the samples of: 30 100 1000 So if we summarise around the group, of the 52 samples ___ would make the call for samples of 30 ___ would make the call for samples of 100 ___ would make the call for samples of 1000 Remember that the statistical guides arent 100%. Every now and then we will make a call that doesnt reflect what is happening in the population, but it will be the right call based on the evidence in front of us. For those of you interested, a technical aside: sampling variation alone seldom produces shifts large enough to trigger these guides (about 8 times out of 100 for n=30 and n=100), so we are using a method that works 90% of the time.     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