Compare your F to the Critical F

SOSC341 Understanding Statistical Inference

Assignment  ANOVA Worksheet

Name:___________________________

 

ANOVA Worksheet

 

To answer the questions, do the following steps:

 

1)Complete the table

 

2) Find the Critical F

 

3) Compare your F to the Critical F

 

Question 1: Ellie wants to know if student involvement influences GPA. Her 24 students fit into one of 3 groups (not involved, somewhat involved, and very involved). Is the test significant?

 

                Sum of Squares                df            Mean Square     F              Sig?

 

Between Groups             100                                         3.50       

 

Within Groups                                                                  

 

Total                                                                     

 

Critical F:

 

Question 2: Brian beliefs his workout program is better than crossfit or boxing and wants to test this. He compares the scores of people in his training to those doing crossfit and those who are boxing. In total there are 76 people. Is there a difference?

 

                Sum of Squares                df            Mean Square     F              Sig?

 

Between Groups                                                             4.25       

Within Groups   96                                                          

Total                                                                     

 

Critical F:

 

Question 3: Jordan has compared employees who were hired in Fall of 2015, Spring 2015, Fall 2016, and Spring 2016 on their work performance. In total there were 224 employees hired over the 4 seasons. Is there a difference in their performance?

 

                Sum of Squares                df            Mean Square     F              Sig?

 

Between Groups                                                             1.75       

 

Within Groups                                   16.36                    

 

Total                                                                     

 

Critical F:

 

Researchers wanted to test if a person’s marital status and if they are a parent influences the hours of sleep they get per night. Below are 3 tables from different set of participants.

 

For each of the following tables:

 

1)            Decide if there are significant main effects of factors 1 (married) and/or 2 (parent)

 

2)            Decide if there is a significant interaction.

 

3)            Draw 2 different bar charts.

 

Question 4)

 

                Married                Single

 

Parent  6              4.5

Not A Parent      7.5          4.5

 

Question 5)

 

                Married                Single

 

Parent  6.75        6.25

 

Not A Parent      7.25        7.75

 

 

 

Question 6)

 

                Married                Single

 

Parent  7.5          5.5

Not A Parent      7.75        8.0