School

Australian Catholic University **We aren't endorsed by this school

Course

EXSC 217

Subject

Statistics

Date

Sep 25, 2023

Type

Other

Pages

28

Uploaded by acharyasantosh44 on coursehero.com

Introduction:
A fictional cohort study and longitudinal Survey in Student Health and Wellbeing at ACU was
conducted during the student's enrolment at first year and third year students (follow up data).
Statistics are carefully observed and calculated to determine the following variables:
a)
Road traffic accidents
b)
Depression and obesity
Dataset Analysis:
1. a.
Mean is a sum of all observations divided by number of observations. Standard deviation is
used to measure the dispersion of a data set from its mean.
Descriptive Statistics
N
Minimum
Maximum
Mean
Std.
Deviation
AGE
38681
16
59
20.50
4.888
Valid N (listwise)
38681
Fig. 1.a. Descriptive statistics based on age as continuous variables
The above table depicts that the average age of student at ACU at first year during enrolment is
20.50 whereas the standard deviation value for student's age is 4.888. Similarly, the minimum
and maximum age recorded for first year enrolment at ACU is 16 and 59 respectively.
1. b)
Age_category
Frequency
Percent
Valid
.00
11879
30.7
1.00
11672
30.2
2.00
5494
14.2
3.00
3755
9.7
Total
32800
84.8
Missing
System
5881
15.2
Total
38681
100.0
Fig. 1.b. Frequency and percentage of new age_category.

The above figure represents that most of the students who got enrolled at ACU were aged 18
which comprises of 30.7 % of entire enrolled students. In contrast, students with age 26 or above
were the least number of students enrolled at ACU which includes 9.6 %. Likewise, 15.2 % of
students were under 18 years which is categorised as missing system to avoid ethical issues.
2)
Demographic variables
Frequency
Percentage
Cohort
(Years)
2005
3259
8.4
2006
3615
9.3
2007
3944
10.2
2008
4086
10.6
2009
5010
13.0
2010
5687
14.7
2011
6383
16.5
2012
6697
17.3
State
NSW
15860
41.0
Victoria
13571
35.1
Queensland
7528
19.5
ACT
1722
4.5
Gender
Male
10449
27.0
Female
28232
73.0
Living_Arrange
At home
20840
53.9
College/student accom
6850
17.7
Independently
10991
28.4
Faculty
Arts and Sciences
9004
23.3
Education
15038
38.9
Health Sciences
11729
30.3
Theology and
Philosophy
588
1.5
Business
2322
6.0
Degree_type
Single
34620
89.5
Double
4061
10.5
Metro
Metro
27223
70.4
Non-metro
5015
13.0
Study_mode
FT
34770
89.9
PT
3911
10.1
Fee_Status
Domestic
32238
83.3
International
6443
16.7
Fig. 2. Descriptive statistics for demographic variables.

As shown in cohort frequency table, the total number of students at Australian Catholic
University (ACU) in 2012 was 38,681. The lowest number of students at ACU was 3,259 in
2005 which indicates 8.4% of present students. There has been a dramatic increase in number of
students since 2005. Every year increase in number of students is approximately by 10 % until
2008. Number of students were significantly raised in 2012 by 17.3 % and the frequency of
students that year were 6,697.
3.
Independent T-test was used to measure the mean for aggression, thrill seeking and risk
acceptance.
Demographic
Variables
p-value or significance
Driver aggression
Thrill seeking
Risk acceptance
Gender
0.934
0.710
0.116
Metropolitan
0.472
0.489
0.382
Study mode
0.757
0.895
0.024
RTA in past 12
months
0.000
0.000
0.000
Fig. 3. Significance values for demographic variables.
Several demographic variables such as gender, metropolitan background status, study mode and
RTA in past 12 months are studied to compare the mean for aggression, thrill seeking and risk
acceptance. Levene's Test for Equality of Variances displayed insignificant values for gender (>
0.05). Therefore, the t-test for equality of Means variances were considered not equal and values
from equal variance not assumed were used. Statistics shows that mean for aggression (p=0.934),
thrill seeking (0.710) and risk acceptance (0.116) do not have significant difference between
male and female. Hence, it indicates weak evidence against null hypothesis and accept the null
hypothesis.