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STA 305/1004 Winter 2020- Assignment #2

Due date: Electronic submission via Crowdmark by 10pm on Monday, March 30.

Note that e-mail submissions will NOT be accepted.

PART 1 - A Published Experiment

(10 marks) Using the virtual Library Guide under Assignments Section in the class website, identify a recent

research article in your field of interest (for example, Agriculture, Biology, Health, Psychology) in which

at least one real scientific experiment was studied. The article must have been published by at least one

University of Toronto author. Further, the year of publication must be between 2000 and 2020, and end

with the last digit of your student number . Note, STA1004 students are allowed to write about their current

research (or proposal).

Based on your article, answer the following.

1. What was your selected field of interest?

2. Write a proper reference for the article, including the author(s), title, journal, year of publication,

volume and page indices. Provide a link to the article or a soft copy of the article.

3. Which UofT department or institute was the UofT author affiliated with?

4. Which database from the Library Guide did you use?

5. What was the design of the experiment?

6. Briefly describe the experimental units used in the study.

7. What was the response variable(s) of the study?

8. Name the factors which were explored in the experiment.

9. How many observations were recorded in the study?

10. Identify at least one statistical method used to analyze the data.

• Grading Notes:

– If you work with another student on this part, then indicate the name of the student on your

submission.

– Your article must include at least 4 of the 6 (parts 5-10) required details.

• Further assistance in acquiring a suitable article can be sought from Head Librarian, Bruce Garrod of

the Math or Earth Sciences Libraries.

PART 2 - My Factorial Experiment

Each student (no groups allowed) will plan and perform a homemade factorial experiment. This

includes personally collecting data and analyzing it in R. I leave it to each individual student to decide what

he or she wants to study. The number of possible topics is very large. The file ‘tr413.pdf’ contains 101 ideas

for homemade experiments. It’s very important you pick a topic that you are interested in and will enjoy

working on.

If you are working on a research project where a factorial design can be implemented, then I encourage you

to use this project as your topic.

The report should not be longer than 4 pages including tables and plots and be submitted in one document.

An example report can be found on portal. Feel free to use this report as a template.

The report should include the following three sections:

Description of the design. (One page maximum)

The design should be a replicated or unreplicated full or fractional factorial experiment. Include details on

how and why you conducted the experiment. What do you hope to learn by doing this experiment? You may

want to include a small picture of your experimental apparatus if it will help your description.

Marks:

10 - Excellent: Strong evidence of original thinking and a clear explanation of how and why they conducted

the experiment.

8- Good: Grasped the basics of designing a factorial study; a good explanation of how and why they did the

experiment.

6- Adequate: Understood the basics of designing a factorial study, but may not have designed a factorial

experiment. Provided an adequate explanation of the design.

4- Marginal: Some evidence of understanding the basic design of a factorial study. Provided a poor explanation

of their design.

2- Inadequate: Little evidence of even a superficial understanding of a factorial design. Little explanation

about how or why the design was chosen.

Analysis of the data. (Two pages maximum)

Include appropriate plots and calculations such as: main effects and interactions; estimated variance of the

effect (if replicated); confidence intervals for true values of effects (if replicated); Lenth plot; or half normal

plot.

Marks:

25 - Excellent: Strong evidence of data analysis skills. Probably used R to do calculations and plots, but

calculations and plots might also be done neatly by hand.

20- Good: Good evidence of data analysis skills. Appropriate calculations were done, and maybe appropriate

plots were included.

15- Adequate: Understood the basics of required data analysis.

10- Marginal: Some evidence of understanding the basic data analysis required, but might not have carried

out all the appropriate calculations and plots.

5- Inadequate: Little evidence of even a superficial understanding of the data analysis required to analyse a

factorial design.

Conclusions. (One page maximum)

What conclusions can you make based on the results of your experiment? Write a paragraph or two outlining

these conclusions.

Marks:

10 - Excellent: Conclusions are highly appropriate given the experiment conducted. Clearly written.

8- Good: Conclusions are appropriate given the experimental context. Writing is good.

6- Adequate: Some conclusions are appropriate; other obvious conclusions might be missing.

4- Marginal: Some evidence that there was an understanding of the basic conclusions, but several obvious

conclusions not stated.

2- Inadequate: Little evidence of even a superficial understanding of the conclusions that can be drawn from

the experiment.

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