# Question: An industrial psychologist working for a large corporation designs a

An industrial psychologist working for a large corporation designs a study to evaluate the effect of background music on the typing efficiency of secretaries. The psychologist selects a random sample of seven secretaries from the secretarial pool. Each subject is exposed to three types of background music: no music, classical music, and hard rock music. The subject is given a standard typing test that combines an assessment of speed with a penalty for typing errors. The particular order of the three experiments is randomized for each of the seven subjects. The results are given here, with a high score indicating a superior performance. This is a special type of randomized complete block design in which a single experimental unit serves as a block and receives all treatments.

a. Write a statistical model for this experiment and estimate the parameters in your model.

b. Are there differences in the mean typing efficiencies for the three types of music? Use α = .05.

c. Does the additive model for a randomized complete block design appear to be appropriate?

d. Compute the relative efficiency of the randomized block design compared to a completely randomized design. Interpret this value. Were the blocks effective in reducing the variability in experimental units? Explain.

a. Write a statistical model for this experiment and estimate the parameters in your model.

b. Are there differences in the mean typing efficiencies for the three types of music? Use α = .05.

c. Does the additive model for a randomized complete block design appear to be appropriate?

d. Compute the relative efficiency of the randomized block design compared to a completely randomized design. Interpret this value. Were the blocks effective in reducing the variability in experimental units? Explain.

## Answer to relevant Questions

Refer to Exercise 15.6. Do the model conditions appear to be satisfied? In exercise Refer to Exercise 16.10. a. Write a model that allows a second- order relationship between y and D. b. How would you test for parallelism of the second- order model? Include the research hypothesis in terms of the model ...A study was designed to evaluate whether socioeconomic factors had an effect on verbalization skills of young children. Four socioeconomic classes were defined, and 20 children under the age of six were selected for the ...Refer to Exercise 16.23. Researchers have opined that in many forests the Shannon index is a more complete measure of biodiversity than Fisher’s alpha. Repeat Exercises 16.23 and 16.24 using Shannon’s index in place of ...Refer to Exercise 16.7. a. After carefully examining the plots and data, do you see any problems associated with the inferences made in Exercise 16.8? Justify your answer. b. If your answer in part (a) is yes, how would you ...Post your question