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STA10008 Foundations of Statistics

Question

Answered

Assignment

You have been given a dataset which relates to a study of Australian adolescents in 2020. First year university students completed a survey on two occasions: at the beginning [Time 1] and the end [Time 2] of the teaching period. The purpose of the study was to monitor changes in the extent to which first year university students use avoidance coping strategies and to investigate factors relating to aggression. Extent of avoidance coping was recorded at the beginning and end of the semester, with external aggression and internal aggression [hostility] also recorded at the end of the semester. Demographic data was also collected for each student, regarding their gender and birth order.

Question 1

The variable BirthOrder indicates the birth order of each of the Australian first year university students [for example, a child with their birth order recorded as 1st has no older siblings]. Using SPSS, summarise the BirthOrder variable and write a paragraph explaining the key features of the data observed in the output in the style presented in lecture note Reporting information about single variables.

Question 2

The variable AvoidCope2 gives an indication of the extent to which each student uses avoidance coping strategies, as recorded at the end of the semester. This variable was scored on a scale [taking values from 0 to 20], with higher scores representing a greater use of avoidance coping strategies. Using SPSS, produce the relevant output to summarise the AvoidCope2 variable and write a paragraph explaining the key features of the data observed in the output in the style presented in lecture notes.

Question 3:

The variable AvoidCope1 gives an indication of the extent to which each student uses avoidance coping strategies, as recorded at the beginning of the semester. This variable was scored on a scale [taking from 0 to 20], with higher values representing a greater extent of using avoidance coping strategies. Previous research indicates that first year students have an average avoidance coping score of 8.5 at the start of a semester. However, an educational psychologist has claimed that this has now changed. Conduct the appropriate significance test using the AvoidCope1 variable to test this claim.

Question 4

The variable ExtAgg gives an indication of the amount of external aggression displayed by each student, as recorded at the end of the teaching period. This variable was scored on a scale [taking values from 0 to 20], with higher values representing a greater level of external aggression. A student support advisor predicted that male students in first year study display more external aggression than female students. Conduct the appropriate significance test using the ExtAgg and Sex variables to test this claim. 

Produce the relevant output and write a report based on your output in the style presented in lecture notes

Question 5

The variable Hostility gives an indication of the amount of internal aggression displayed by each student, as recorded at the end of the school year. This variable was scored on a scale [taking values from 0 to 20], with higher values representing a greater level of internal aggression [hostility]. A university counsellor believes that there is a difference, on average, between the level of internal aggression and the level of external aggression of first year university students. Conduct the appropriate significance test using the Hostility and ExtAgg variables to test this prediction. Produce the relevant output and write a report based on your output in the style presented in lecture notes.

Question 6

A researcher in early childhood development wanted to know whether children who spend more time watching television tend to have lower hand-eye co-ordination skills. He selected a random sample of 6 year old children and measured their hand-eye co-ordination using a standardised test. He also asked their parents to record how much time they spent watching television during the week. 

a. What is the dependent variable?

b. Construct a scatterplot of TVTime and Coord. Is it appropriate to interpret Pearson’s r? Why/Why not?

c. Produce Pearson’s r. What is the value of Pearson’s r? Is Pearson’s r significant? Explain how you reached this decision.

d. Produce a regression analysis to test the hypothesis that children who spend more time watching television have lower hand-eye co-ordination. Write a report on this study.

STA10008 Foundations of Statistics

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