Homework # 6 Name ______________________________

Chapter 12

1. When do we conduct a one-way between-subjects ANOVA? (½ pt)

 

 

 

 

 

2. Define the concepts of between-group variability and within-group variability. (1 pt)

 

 

 

 

3. Define the concepts of sum of squares total, sum of squares between and sum of squares within. (1 ½ pts)

 

 

 

 

 

2b. How are these interrelated? (½ pt)

 

 

 

4. Explain why the alternative hypothesis for the between-subjects ANOVA cannot be summarized in a single mathematical statement. (1 pt)

 

 

 

 

 

5. Insert the missing entries in this summary table (assume a BS ANOVA with 5 levels of IV)

be sure to show how you calculate these values! (1 ½ pts)

Source	SS	df	MS	F
Between			13.5	3.45
Within				XXXXXXXXX
Total	167.39	33	XXXXXXXXX	XXXXXXXXX

6. Researchers investigating racial bias in prison sentences conducted an experiment in which subjects were asked to read a transcript of a trial and indicate the probability of the defendant’s guilt (made on a 0-10 scale). All subjects read the same transcript, except one-third of the sample was told that the defendant was Caucasian, another third were told that the defendant was African-American and the last third were told that the defendant was Hispanic. The following data represent the guilty ratings for each group in our sample. Use a between-subjects ANOVA to determine whether the defendants’ racial identification influenced the ratings of guilt.

1. calculate all intermediate values needs for SS (¾ pt)
2. Create a source table, including all relevant values (2 ¼ pts)
3. determine your critical F value and report your decision about the null hypothesis (1 pt)
4. Analyze the strength of the relationship (½ pt)
5. Analyze the nature of the relationship, using Tukey’s HSD (1 ½ pts)