a) Find SS (TOT) b) Find SS (BET) C) Find SS(Wi), the within variation to each i

Question

a) Find SS (TOT) b) Find SS (BET) C) Find SS(Wi), the within variation to each i-groups and SSw= summation (k) SSwi d) Find d.f. BET and d.f.w e) Compute the F-ratio 1. Paige and Frankie are trying to improve their lemonade. After the first week They have added two new flavours to their menu, the table gives the profit (in hundreds of dollars) of each type of drink they made each week over the past four weeks, in the third week they dropped serving Lemonade with Strawberries as it was less profitable than honey (and kept Plain as needed). Denote "With Honey" as group 1, "With Strawberries" as group 2, and "Plain" as group 3. And i e (1,2,3) be the indicator for these groups and j e (1,2,3,4) be the indicator for week number. If a product was not sold in a particular week, take that cell to be empty Week |With Honey With Strawberries Plain 4

Explanation / Answer

From Excel

ANOVA one way analysis

a) SST=72.92

b) SSB=51.92

c) SSW=21

d) d.f for BET is 3 and d.f.w is 9

e) F ratio =(SSB)/(SSW) =7.42

Anova: Single Factor SUMMARY Groups Count Sum Average Variance Week 4 10 2.5 1.666667 With honey 3 24 8 1 With strawberry 2 10 5 2 Plain 4 20 5 4 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 51.92308 3 17.30769 7.417582 0.008344 3.862548 Within Groups 21 9 2.333333 Total 72.92308 12

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