Question

| N | 0 | P | blue red 2 heavy Anova: Two-Factor With Replication SUMMARY blue red Total heavy 20 Count Sum Average Variance 20 126 6.3 0.74737 40 213 5.325 3.45577 4.35 4.34474 light OF AMPA Count Sum Average Variance 2020 112 106 5.6 0.98947 2.32632 40 218 5.45 1.63846 ܢ ܢ Total Total ܩ ܗ Count Sum Average Variance 40 199 4.975 2.99936 40 232 5.8 1.75385 ܩ 22 light ܗܗ ܙ ܬ ܗ ܕ nun un ANOVA Source of Variation Sample Columns Interaction Within SS 0.3125 13.6125 25.3125 159.75 df MS 1 0.3125 1 13.6125 1 25.3125 76 2.10197 F 0.14867 6.47606 12.0423 P-value 0.70088694 0.012961166 0.000860512 Fcrit 3.96676 3.96676 3.96676 ܗ ܚ | ܚ Total 198.988 79 ܛ ܗ ܚ ܢܢ o uno no ou ܢ ܕ ܗ

Exhibit 1

Before finalizing the design of a keyboard, an electronics company decided to conduct an experiment to see the effect of two design choices (backlight: red vs. blue; product weight: heavy vs. light) on customers' attitude towards the product (measured on a scale of 1 to 7). Run the appropriate statistical test and at .05 level identify whether these design choices have an effect on consumers' attitude towards the product. Identify if there is a significant interaction effect (at .05 level).

1. Which of the following is the dependent variable in this experiment?

Select one:

a. backlight color

b. product weight

c. attitude towards the product

d. none of the other choices is correct

2. Refer to exhibit 1. What kind of an experimental design is used?

Select one:

a. 2x2 factorial ANOVA

b. 2x3 factorial ANOVA

c. ANOVA - Completely Randomized Design

d. ANOVA - Randomized Block Design

3. Refer to exhibit 1. Using a .05 significance level, can we say that the backlight color interacts with the product weight?

Select one:

a. Yes, there is a significant interaction

b. No, there is no significant interaction

c. Not enough data to reach a conclusion

4. Refer to exhibit 1. Is there a main effect of backlight color on consumers' attitude towards the product (at a significance level of .05)?

Select one:

a. Yes, backlight color has a significant main effect

b. No, backlight color does not have a significant effect

c. Not enough information to reach a conclusion

5. Refer to exhibit 1. Is there a main effect of product weight on consumers' attitude towards the product (at a significance level of .05)?

Select one:

a. Yes, product weight has a significant main effect

b. No, product weight does not have a significant effect

c. Not enough information to reach a conclusion

Answer 1

1.    Answer- C: Attitude towards customer. AS the measurement is of Attitude towards customer on the scale of 1-7, and all then analysis has been done on that, the dependent variable is Attitude towards customer
2. A: 2×2 factorial block design as the data is divided into 2 samples and the it is divided into 2 major factor.
3. The p-value for the colour here is 0.0008605 which is < α = 0.05 which shows that the interaction term is significant.
4. The p-value for the backlight color is 0.01296 which is again smaller than α = 0.05 indicating that there is significant effect of backlight color on the Attitude towards customer.
5. Here the p-value is 0.7 which is much larger than our level of significance and hence we conclude that there;’s no significant effect of the product weight.