Question

MS F 7 2 5 р < 0.01 > 0.05 < 0.01 Use the source table shown below to answer questions 5 to 7. Source SS df Colour (C) 28 2 14 Type (T) 8 2 4 CxT 40 4 10 Error 162 81 2 Total 238 89 5. Assuming this is an independent design, how many groups of subjects would be used in this study, and how many subjects would be in each group? Explain your response and show the necessary calculations). [1 mark] 6. What do we know about the interaction between "Colour" and "Type" in this study? [1 mark] 7. Think carefully! Does the independent variable "Type" have any significant effect on the dependent variable in this study? Explain your response. [1 mark]

Answer 1

5. Since the df of Type is 2, so there are (2+1) = 3 groups

Since the df of Column is 2, so there are (2+1) = 3 subjects in each groups

6) Since the p-value of interaction < 0.01, so it can be said that there is a significant interaction effect of color and type.

7) Since the interaction is significant, the tests for type or color is not worth making, for if a particular level of Type is found to be the best and if interaction is present, then there is no knowing that this will be the best for each level of Color.