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Looking at the output above, which one of the ANOVA assumptions are you able to assess?

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ANSWER ALL QUESTIONS

QUESTION TWO

The validity of eyewitness testimony remains a topic of debate in the behavioural sciences. It has been previously suggested that the wording used when asking an eyewitness to recall their recollection of an event may influence their responses. If subtle wording of questions can influence the answer an eyewitness gives, then such reports must be interpreted with considerable caution.

Forty individuals completed a study where they watched a film of a car accident. Car A fails to stop at stop sign and collides with Car B. The film depicts the entire incident, beginning 30 seconds before the collision, the collision, the arrival of the police officer and citation of the driver in Car A. After watching the film, the 40 participants are randomly split into four groups – each group is asked to estimate the speed of Car A in each of the following ways:

Group 1: “how fast was Car A going at the time of the ACCIDENT with Car B?”

Group 2: “how fast was Car A going when it HIT Car B?”

Group 3: “how fast was Car A going when it CRASHED into Car B?”

Group 4: “how fast was Car A going when it SMASHED into Car B?”

The relevant output to answer the below question is provided:

 

Tests of Homogeneity of Variances

 

Levene Statistic

df1

df2

Sig.

Speed Estimate (KMs per hour)

Based on Mean

.690

3

36

.725

Based on Median

.356

3

36

.875

Based on Median and with adjusted df

.356

3

36

.875

Based on trimmed mean

.519

3

268

.759

 

ANOVA

Speed Estimate (KMs per hour) 

 

Sum of Squares

df

Mean Square

F

Sig.

Between Groups

1979.00

3

619.785

13.965

.000

Within Groups

1851.400

36

56.432

 

 

Total

3830.400

39

 

 

 

 

Robust Tests of Equality of Means

Speed Estimate (KMs per hour) 

 

Statistica

df1

df2

Sig.

Welch

7.757

3

19.405

.001

a. Asymptotically F distributed.

 

  Looking at the output above, which one of the ANOVA assumptions are you able to assess? Justify with statistical evidence whether this assumption is met or is violated. (2 marks) (50 words)

bWhat does the p value in your answer to 2a represent? (2 Marks) (40 words)

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