Randomized Experiment Example of Randomized Block Design 0 Randomized block design: This would be most appropriate if there were different types of swimmers. For instance, suppose that 10 of the volunteers were males who swim competitively, 20 were males who don't swim competitively, 8 were females who swim competitively, and the remaining 12 were females who don't swim competitively. 0 Then each of these four groups would constitute a block, and half of each block would be randomly assigned to take a caffeine pill while the other half would take a placebo. Each person would swim a mile. The times for caffeine versus placebo would be compared within each block, as well as across the four blocks combined. 0 Note: Matched-pair design is a special case of a randomized block design with each pair is one block. CW. KWAN. Eric Li (SAAB 554...", HKU if!) STATIEOU Statistics: Ideas and Concepts Ch 3 ID Sex Competitive? ID Sex Competitive? 1 Male Yes 26 Male No 2 Female Yes 27 Female No Female Yes 28 Male No 4 Male No 29 Female Yes 5 Male Yes 30 Male No 6 Male No 31 Male No Male No 32 Male No 8 Male No 33 Female No 9 Female No 34 Male No 10 Male Yes 35 Male No 1 1 Male No 36 Male Yes 12 Female Yes 37 Male Yes 13 Female No 38 Male No 14 Male No 39 Male No 15 Male Yes 40 Female No 16 Male Yes 41 Female Yes 17 Male No 42 Female Yes 18 Female Yes 43 Female No 19 Female No 44 Male Yes 20 Male No 45 Male Yes 21 Female No 46 Male No 22 Male Yes 47 Female No 23 Female No 48 Female No 24 Female No 49 Male No 25 Female Yes 50 Male No(a) You are required to create 4 blocks:1,2,3,4. In the following table, fill in the block number that each swimmer ID belongs to. Note that you need to define each block first. For example, block 1 = male competitive, ..., etc.ID Block no. ID Block no. 1 26 2 2'? 3 28 4 29 5 30 6 31 7 32 8 33 9 34 10 35 11 36 12 3'? 13 38 14 39 15 40 16 41 17 42 18 43 19 44 20 45 21 46 22 4'? 23 48 24 49 25 50 (b) In each block, half the swimmers will take the caffeine pill while the other half will take a placebo. In the following table, write down the treatment, i.e., \"Caffeine pill\" 01*\"Plaeebo\" for each swimmer ID. [Note: there is no unique answer to this part. It's OK as long as the rules of randomized block design are satisfied] ID Treatment ID Treatment 26 2 27 28 4 29 30 31 32 33 34 10 35 11 36 12 37 13 38 14 39 15 40 16 41 17 42 18 43 19 44 20 45 21 46 22 47 23 48 24 49 25 50