Question

• Purpose: To learn how to analyze data from a two-way Anova and apply the results to a research scenario.
• Instructions:
  • Enter the data below into the SPSS Data Editor (download the .sav file from D2L to check your work).
  • Run a two-way analysis of variance and create a line graph depicting the group means.
  • Use your results to answer the questions below, and then submit in D2L.

Research Scenario: You have been raising Bombina orientalis, or Oriental fire-bellied toads, and measured the frogs’ jumps in centimeters. Your latest study looks at males and females’ reactions to being raised in a room with another animal. You set up three terrariums, each with six male and six female frogs. Each terrarium is in a separate room. Let A1 = male frogs, A2 =female frogs, B1 = frogs raised in a room with a dog, B2 = frogs raised in a room with a cat, and B3 = frogs raised in a room with a parrot.

Data

	B1	B2	B3
A1	45	23	39
	42	30	27
	41	31	31
	48	23	27
	42	33	37
	43	36	24
A2	32	36	49
	29	43	48
	31	37	44
	33	25	43
	25	32	36
	34	40	44

1. Restate the research and null hypothesis for each variable (and don’t forget the interaction).

2. What are the degrees of freedom of the F distribution for each variable and the interaction?

3. What is the value of F for the two main effects?

4. Is there a significant main effect of roommate? Explain and support your position.

5. Is there a significant main effect of gender? Explain and support your position.

6. Is there a significant interaction between the sex of the frogs and the species of roommate? Explain and support your position.

7. Fill in the appropriate cell, column, and row means in the table below. Then fill in the appropriate seventeen terms in the ANOVA summary table (or simply paste the table from SPSS).

Table of Means

	B1	B2	B3
A1
A2

                                                              

ANOVA Summary Table
Source	df	ss	MS	F
A
B
AB
Within
Total

Answer 1

Restating the reseach problem:

We need to find if the Gender, Terrariums or their combination has any effect on the Jump Scores of the frogs

1. Hypothesis:

Null Hypothesis:

H₁: Gender will have no significant effect on the jump score

H₂: Terrariums will have no significant effect on the jump score

H₃: An interaction of Gender and Terrariums will have no significant effect on the jump score

Vs

Alternative Hypothesis:

H₁: Gender will have significant effect on the jump score

H₂: Terrariums will have significant effect on the jump score

H₃: An interaction of Gender and Terrariums will have significant effect on the jump score

2. Degrees of Freedom:

Gender: 1

Terrariums: 2

Interaction: 2

3. F value

Gender: 1. 769

Terrarium: 3.926

Interaction: 22. 736

4. Significant effect of Roommate:

The significant value from the Table we observe as 0.194, now since it is greater than 0.05 here we accept the null hypothesis

5. Significant effect of Gender:

The significant value: 0.031, now since it is less than 0.05 here we reject the null hypothesis

6. Significant effect of Interaction:

The significant value: 0.000,now since it is less than 0.05 here we reject the null hypothesis

7. Tables