High School

An investigator wants to determine which of four movies, to be released soon, should have the greatest audience appeal. These movies are (A) mystery, (B) scientific, (C) comedy, and (D) drama. Movies are shown to audiences of 50 viewers at each showing, four times a day, over a period of four days. It was thought that the time of day and day of the week may influence the results of the study. The response is the number of people out of 50 who recommend the movie to a friend.

Day | Time of Day | Mon | Tue | Wed | Thur
--- | ----------- | --- | --- | --- | ----
Morning | | 23 | | 36 |
Early Afternoon | | 36 |
Late Afternoon | | 17 | 37 | 34 | 41
Evening | 35 | 37 | 18 | 32 | 40
| | | | |
33 | 31 | 22 | 31

Task:

(a) Using your student number as a random seed, randomize the movie types in a Latin square for this experiment in R software and:
(i) Generate a field data entry sheet. [1 mark]
(ii) Generate a sketch of your Latin square. [1 mark]
(iii) Write the codes used to generate (i) and (ii) above. [4 marks]

(b) Use R software to analyze the data from this experiment and write a brief report to draw appropriate conclusions. [12 marks]

(c) Write the codes used to generate results in (b) above.

Answer :

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Final answer:

The investigator can use R software to randomize the movie types in a Latin square, generate a field data entry sheet, and analyze the data from the experiment to draw appropriate conclusions about the audience appeal of the four movies.

Explanation:

Randomization in R software and data analysis for movie audience appeal experiment

In this experiment, the investigator wants to determine which of the four movies (mystery, scientific, comedy, and drama) has the greatest audience appeal. The movies are shown to audiences of 50 viewers at each showing, four times a day, over a period of four days. The investigator believes that the time of day and day of the week may influence the results of the study. The response variable is the number of people out of 50 who recommend the movie to a friend.

Randomization using R software

To randomize the movie types in a Latin square for this experiment, R software can be used. A Latin square is a square grid where each row and column contains each treatment (movie type) exactly once. By using a random seed, the movie types can be assigned to the rows and columns of the Latin square.

Data entry sheet

To generate a field data entry sheet, the investigator can create a table with columns for the movie types, time of day, day of the week, and the number of people who recommend the movie. Each row represents a showing of a movie to an audience of 50 viewers.

Sketch of the Latin square

A Latin square can be represented as a 4x4 grid, where each cell contains a movie type. The movies (A) mystery, (B) scientific, (C) comedy, and (D) drama can be randomly assigned to the rows and columns of the Latin square using the random seed.

Data analysis using R software

To analyze the data from this experiment, R software can be used. The collected data can be imported into R and analyzed using statistical methods such as descriptive statistics, hypothesis testing, and regression analysis. The analysis can help draw appropriate conclusions about the audience appeal of the four movies based on the number of people who recommend each movie.

Conclusion

The investigator can use R software to randomize the movie types in a Latin square, generate a field data entry sheet, and analyze the data from the experiment. By analyzing the data, appropriate conclusions can be drawn regarding the audience appeal of the four movies.

Learn more about randomization in r software and data analysis for movie audience appeal experiment here:

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