Data Set 1: You have conducted a study in which you collected data from 23 participants. You gave each

Data Set 1:

You have conducted a study in which you collected data from 23 participants. You gave each subject a test to measure math skills (Skill), where the higher scores indicated a higher skill level. The data are shown below.

Measured on a nominal scale

Sex: 1=male, 2=female

Marital status: 1=single, 2=married, 3=divorced

Sex Age Marital Skill

M	23	Single	34
F	35	Married	40
F	40	Divorced	38
M	19	Single	20
M	28	Married	30
F	35	Divorced	40
F	20	Single	38
F	29	Single	47
M	29	Married	26
M	40	Married	24
F	24	Single	45
M	23	Single	37
F	18	Single	44
M	21	Single	38
M	50	Divorced	32
F	25	Single	29
F	20	Single	38
M	24	Single	19
F	37	Married	29
M	42	Married	42
M	35	Married	59
M	23	Single	45
F	40	Divorced	20

Data Set 2:

A survey of employees is conducted. Each employee provides the information given below.

Sex: male=1, female=2

Classification Key: Clerical=1, Technical=2, Professional=3

Measured on a nominal scale.

Salary	Years of Service	Sex	Classification	Education
35,000	8	M	T	14
18,000	4	F	C	10
20,000	1	M	P	16
50,000	20	F	P	16
38,000	6	M	P	20
20,000	6	F	C	12
75,000	17	M	P	20
40,000	4	F	T	12
30,000	8	M	T	14
22,000	15	F	C	12
23,000	16	M	C	12
45,000	2	F	P	16

Data Set 3:

Participants who have phobias are given one of three treatments (condition). Their anxiety level (1-10) is measured during three intervals-before treatment (anxpre), one hour after treatment (anx1hr), and again four hours after treatment (anx4hr). The results are shown below.

Before treatment= anxpre

One hour after treatment= anx1hr

Four hours after treatment=anx4hr

Measured on a nominal scale.

Anxpre	Anx 1hr	Anx 4hr	Condition
8	7	7	Placebo
10	10	10	Placebo
9	7	8	Placebo
7	6	6	Placebo
7	7	7	Placebo
9	4	5	Val
10	6	8	Val
9	5	5	Val
8	3	5	Val
6	3	4	Val
8	5	3	Exp
6	5	2	Exp
9	8	4	Exp
10	9	4	Exp
7	6	3	Exp

Problems:

One-Way ANOVA: Using data set 1 , determine if the average math scores of single, married, and divorced participants are significantly different. Write a statement of the results.
Factorial ANOVA: Using data set 2 , determine if salaries are influenced by sex, job classification, or an interaction between sex and job classification. Write a statement of the results.
Repeated measures ANOVA: Using data set 3 , determine if the anxiety level of participants changed over time (regardless of which treatment they received) using a repeated measures anova and dependent t-tests. Write a statement of the results.
Mixed-design ANOVA: Using data set 3 , determine if anxiety levels changed over time for each of the treatment conditions types. How did time change anxiety levels for each treatment? Write a statement of results.
Analysis of Covariance: Using data set 2 , determine if salaries are different for males and females. Repeat the analysis, statistically controlling for years of service. Write a statement of results for each. Compare and contrast the two answers.