Question

Use this table to answer the following questions:

	Text Message	X2	Video Chat	X2	Phone Conversation	X2
	3		10		6
	3		9		5
	5		8		6
	6		8		6
	4		9		7
	3		8		4
	4		6		5
	2		7		6
	5		7		3
	4		10		6
n							N
ΣX							ΣΣX
X							(ΣΣX)2/N
Σ(X2)							ΣΣ(X2)
(ΣX)2/n							Σ(ΣX)2/n

1 What is the Sum of Squares (SS) between?

Group of answer choices

a. 95.26

b. 935.8

c. 40.9

d. 836.40

e. 28.47

2. Now let's figure out what's the Sum of Squares (SS) within?

a. 40.9

b. 166

c. 935.8

d. 91.3

e. 58.20

3. Okay, what's the Mean Squares Within (MSwithin)?

a. 4.98

b. 2.16

c. 3.381

d. 1.51

4. What's the Mean Squares Between (MSBetween)?

a. 47.63

b. 2.16

c. 14.23

d. 8.63

5. Now we're ready to calculate the test statistic round to 2 decimals.

a. F = 13.39

b. F = 9.40

c. F = 31.44

d F = 3.70

6. What is the df between (also known as the df Numerator)?

df = 30

df = 3

df = 2

df = 27

7. What is the df within (also known as the df Demominator)?

a. 2

b. 30

c. 27

d. 3

8. What is the critical value?

3.36

4.56

2.87

5.49

9. Based on the critical value and the obtained value, do you accept or reject the null hypothesis?

Fail to reject the null hypothesis

Reject the null hypothesis

10. Based on your answer to the previous question, should we run a post hoc test (don't worry, I won't make you calculate them, I just want to know if we should do a post hoc test in this situation).

a. No

b. Yes

Answer 1

Solution

We find the solution using Excel

Output for ANOVA using Excel is given below

Anova: Single Factor
SUMMARY
Groups	Count	Sum	Average	Variance
Text Message	10.00	39.00	3.90	1.43
Video Chat	10.00	82.00	8.20	1.73
Phone Conversation	10.00	54.00	5.40	1.38
ANOVA
Source of Variation	SS	df	MS	F	P-value	F crit
Between Groups	95.27	2.00	47.63	31.44	0.00	3.35
Within Groups	40.90	27.00	1.51
Total	136.17	29.00

What is the Sum of Squares (SS) between?

Answer : 95.26

2. Now let's figure out what's the Sum of Squares (SS) within?

Answer : 40.9

3. Okay, what's the Mean Squares Within (MSwithin)?

Answer : 1.51

4. What's the Mean Squares Between (MSBetween)?

Answer : 47.61

5. Now we're ready to calculate the test statistic round to 2 decimals

Answer : 31.44

6. What is the df between (also known as the df Numerator)?

Answer : 2

7. What is the df within (also known as the df Demominator)?

Answer : 27

8. What is the critical value?

Answer : 3.36

9. Based on the critical value and the obtained value, do you accept or reject the null hypothesis?

Reject the null hypothesis

10. Based on your answer to the previous question, should we run a post hoc test (don't worry, I won't make you calculate them, I just want to know if we should do a post hoc test in this situation).

b. Yes