Question 1: You’re an alien!

An alien society on Planet Zoahoawakazaka in the Noasoya solar system is planning to invade Earth to steal its plentiful supply of soybeans. The aliens need the soybeans to fuel the energy needs of their ever-growing population.

The problem:

In order to ensure success in stealing soybeans, the aliens need to create a sufficient disturbance in the human population. Thus, the aliens are experimenting with panic-inducing techniques on a set of simulated humans in their superior technologically endowed emotion laboratory. As you can see the aliens are kind of cute and are quite small, so they’ll likely need to make themselves look scarier to be able to steal all the soybeans!

In this assignment you must imagine yourself as one of the alien scientists assisting in analyzing the data! The dataset can be found in the SPSS datafile attachment [data for question1 .sav] . You’ll need to download it to answer the questions on the following page.

Important:

On your answer sheets, clearly label your answers so I know which graph/text correspond s to which sub question.

Question 1

1. a) State two important independent a priori hypotheses about the data.
2. b) Graph the data using boxplots.
3. c) Make a table with the means and standard deviations of each group.
4. d) Are there problems with the data for ANOVA? If so, what’s wrong?
5. e) Run a one-way analysis of variance on the data.
   1. • Provide the ANOVA table.
   2. • Report results (including details of the F-ratio and degrees of freedom).
6. f) Use Explore in SPSS to determine an appropriate transformation; report the transformation you decided on and justify why you chose it.
7. g) Re-run a one-way analysis of variance on the transformed data.
   1. • Provide the ANOVA table.
   2. • Report results.
8. h) What do you conclude from the overall ANOVA of the transformed data?
9. i) How do the latter results compare to the first ANOVA?
10. j) Analyze the data using linear contrasts (Note: I am not asking for polynomial trends here, just standard contrasts).
11. k) Do the contrasts provide support for your a priori hypotheses? (It’s okay if your hypotheses were not supported by the data but you need to say yes or no and justify your answer).
12. l) Show that the contrasts are orthogonal.
13. m) Show that the sums of squares for the contrasts sum to SS _model

Question 2: Coolios, geeks, and bullies

It’s high school all over again! Time to see whether those stereotypes are really true (well not really, this is a purely fictional set of data). For this study, we pre-screened hundreds of high school students to find 20 bullies, 20 geeks, and 20 cool kids or "coolios." Half of the students conforming to each stereotype (n=10) were assigned to play football while the other half were assigned to play badminton. Independent observers watched the participants playing the sports to which they were assigned and rated their athletic performance on a scale from -30 (Pathetically pathetic) to +30 (Olympic quality). The following data table provides the performance ratings for each student in the experiment. Your task is to analyze the data to determine whether the bullies, geeks, and coolios really do differ in their athletic performance.

First, input the data into SPSS so that you can run a factorial ANOVA.

1. a) What are the factors in this design and how many levels do they have?
2. b) What is the dependent measure?
3. c) Plot error bar graphs (± standard errors) for the main effects.
4. d) Conduct a two-way independent ANOVA and report the descriptive statistics and summary F table.
5. e) Graph and report the main effects properly and explain what they show.
6. f) Graph and report the interaction between the two factors and describe what it shows.

Price: $25.73

Solution: The downloadable solution consists of 15 pages, 1073 words and 20 charts.
Deliverable: Word Document