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

INSTRUCTIONS TO CANDIDATES
###### 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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