The table below gives the results of an experiment about the effect of salt in t
ID: 3066328 • Letter: T
Question
The table below gives the results of an experiment about the effect of salt in the soil on grass growth. The response values (Y) given in the table below are the grass emergence percentages for each plot. The four treatments considered were the levels of salt (0, 8, 16, and 24).
The experiment was done on three separate fields, so each field served as a separate block.
Salt Field Emergence (Y)
---- ----- -------------
0 1 68
0 2 79
0 3 74
0 1 75
0 2 89
0 3 81
0 1 75
0 2 89
0 3 82
0 1 75
0 2 89
0 3 82
8 1 70
8 2 55
8 3 74
8 1 84
8 2 73
8 3 87
8 1 87
8 2 74
8 3 88
8 1 87
8 2 75
8 3 80
16 1 40
16 2 43
16 3 36
16 1 78
16 2 81
16 3 70
16 1 82
16 2 85
16 3 74
16 1 83
16 2 87
16 3 75
24 1 11
24 2 18
24 3 12
24 1 62
24 2 75
24 3 50
24 1 72
24 2 82
24 3 62
24 1 72
24 2 86
24 3 66
2. You are asked to design the following experiment. You want to compare the mean time it takes to bake a cake across five differentovens: Amana, GE, Kenmore, Maytag, and Vulcan. There are five brands of cake (Betty Crocker, Duncan Hines, Pepperidge Farm, Pillsbury,
Southern Home), and five flavors for each brand (chocolate, yellow, marble, carrot, orange) so that a total of 25 cakes can be baked. You want to control the variation due to cake brand and the variation due to flavor. The main response variable is time needed for baking
(in minutes) and the factor of interest is the oven type. Set up a Latin Square Design for this experiment, explaining your notation and the design carefully, so that a non-statistician could carry out the experiment according to your instructions.
Explanation / Answer
You have not put up any question in the first part.
2. For this qestion,you can not construct a Latin Square Design. Beasue of the reason that Latin Square Design is used when the the number of factors is 3. However,you have tried to control the variation throug two factors only, due to cake brand and due to flavour. So,wht you can perform is the Randomised Block design. You can initiate the main factor as the one that you want.
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