T-TEST AND ANOVA

QUESTION

PSY392
‘==:.,
;-
‘:
l::
l
Multiple
submissions to Tumitin
before the cut-off date are
allowed. It may
be a good idea to
make
an early
submission
to
check the
originality
report
and if necessary,
make amendments
to
your document for resubmission.
Note that the Turnitin
report is generated
usually within
minutes
after the first submission,
however, subsequent
reports may
take up to 24 hours
to
generate.
Once you
have
made a submission to
Turnitin before the
cut-off date, the
system will
not
accept any further submissions AFTER
the cut-off time. The
grace
period
is
there to resolve
any tedrnical
problems
that
may have
been encountered while
attempting to make
a
submission before
the cut-off time. Please
contact/email Blackboard
Support immediately
(attach
your
TMA
if necessary) and
ensure that the
problem
is resolved
before the
grace period
is
over.
The
University
takes
a very
serious
view
of plagiarism
(passing
off someone else’s ideas as
your owrL or
rerycling
of contents from
your own earlier marked TMA from
the same course
or
another course) and collusion (submitting
an assignment
which is the
same or
very
similar to
another student’s).
Both
are very serious academic
offences. Please refer
to the Student
Handbook
on
the penalties
of
plagiarism
or collusion. You are strongly
advised to submit your
TMA
early, check the plagiarism report
yourself, and
if needed
revise and resubmit
your TMA
before the
submission
deadline.
English Competency
5% of the total marks have been allocated to spelling,
grammar, punctuatiory and overall
language
use.
Relevant Course Materials
This TMA covers
the
course materials in
Study Unit 3.
You
should read the relevant sections in
the textbook and the Study Guide before you attempt your TMA. In addition,
you should
refer
to Seminar slides
and discussion notes
used
in
class.
You
may
find
it necessary to read
up on
other materials beyond
the textbook
and
the
Study Guide in order to add depth to
your
answers.
SIM. UNIVERSITY
::,
Knouledge
and skills being
assessed
in this TMA:
The
question is designed
to assess
your knowledge
and
ability to:
(i)
use SPSS to generate
inferential
statistics for
hypothesis testing.
(ii)
interpret the results
generated
from the
SPSS output.
Hou to
approach this Assignment
(a)
For this assignment,
you have
to make use
of the data
set provided to run
SPSS
commands. This dataset
contains the
survey data
of
adult learners
pursuing
part-time
degree
programmes in a
private university in Singapore.
[SPSS
Filename : TMA02_Adult_Learning.
sav]
(b) Read
the
requirements
of
each question and
generate the appropriate
SPSS output for
your analysis and
interpretation.
Referencing in APA format
Marks allocation at a glance
Q1
Q3
–
(39
marks)
(a)
13
Q2
(b)
(c)
(21marks) (a)
2
5 marks
will
be deducted
for
missing references
or inaccurate formatting
Marks
Word
limit
(b)
5
(c)
5
(d)
(e)
5
4
73
13
15
Q4
20 550-600
English competency
5
Total
100
1000
(excluding
Q4)
PSY392,.:
Question
(a)
(b)
1
(39
,fl
marks)
:=:
:..
:.
Perform
inferential
statistical
analysis to
test if there
are significant
differences in
the
quality
of
life
between male
and female
adult learners
before pursuing
adult
education.
Test your hypotheses
at
the 5%
significance level.
Present
the
SPSS output
that you have
generated
and answer
the following
questions:
(i)
Identify
an appropriate
test
statistic that
you should
use for the
analysis. (2
marks)
(ii)
Explain why
you chose
to use this test
statistic.
(2
marks)
(iii)
Give a step-by-step
intelpretation
of
the
SPSS
output by:
r
Stating
the null and
alternative hypotheses,
(2
marks)
e
Reporting
in APA format
the statistical test
result for
the analysis. (7
marks)
Perform inferential
statistical analysis
to test
if
there are
significant differences
in the
quality
of
life
of the adult learners
before
they pursued
adult education
and
one year
after
their graduation.
Test your
hypotheses at
the 5% significance level.
Present
the SPSS
output that you have
generated
and answer
the following questions:
(i)
Identify an
appropriate
test statistic that
you should use for
the analysis. (2
marks)
(ii)
Explain why
you chose to
use this test statistic
(2
marks)
(iii)
Give
a
step-by-step interpretation
of the SPSS
output by:
o
Stating the null and
altemative hypotheses,
(2
marks)
o
Reporting
in APA format
the statistical
test result for
the analysis. (7
marks)
sffi,ii8–JVlF,slr*’:=.
:,’:
:,
:
TMAOA
.f-
,c,
,*i,tt4**215
PSY392
TMAO?
(c)
Perform inferential
statistical analysis
to test if there
are significant
differences in the
quality of life
of adult learners
of
various
age groups
one year
after their graduation.
Teit your
hypotheses at
the 5% significance level.
Present the
SPSS output
that
you
have
generated.
Post hoc test is
not required. Answer
the following
questions:
(i)
Identify
an appropriate
test statistic that you
should use for the
analysis.
(2
marks)
(ii)
Explain why
you chose to use this test
statistic. (2
marks)
(iii)
Give a step-by-step interpretation
of the SPSS output by:
Question
o
Stating the null and altemative
hypotheses, (2
marks)
o
Reporting in APA format
the statistical test result for
the
analysis.
[Note:
2:
(15
You
should
also report descriptive
statistics in an APA formatted table.]
marks)
Using
2-way
contingency
tables, test for the association
between
reasons for pursuing
adult
education and
age.
(Hint:
Consider
whether you
should use the actual or recoded variable
for’age’.) Test your hypothesis at the
5% significance
level. Remember
to show
your
SPSS
output
for your
statistical test.
(a) (i)
Identify an appropriate test statistic that you should use for the above analysis.
(ii)
Explain why you chose to use this test statistic.
(b)
Give
a step-by-step interpretation
of
the
SPSS output
by:
(,
Stating the
null
and altemative hypotheses,
(i0
Stating
the
effect size,
(iii) Interpreting
the effect size,
(iv)
Reporting in APA format the statistical test result for the analysis.
SIM UNIVERSIITY
I
”,.:rl
(7
marks)
(2 marks)
(2
marks)
(2
marks)
(1mark)
(1mark)
(7
marks)
‘TMA02-5
PSY392
Question
3
l.
r,
(21marks)
(b)
(i)
State
the value
of
‘r’
in the
above
analysis.
(ii)
Explain
what’r’
is
and what’r’
in your
analysis
means.
(c)
(i)
State the value
of
‘r2′ in
the above
analysis,
(ii)
Explain
what’ll
is and what
12in
your analysis
means.
.r.l’
.’::
..,1
Perform
a
regression
analysis
to assess
and
explain the
relationship
between
age
of the adult
learners
(Hint:
Consider
whether
you
should
use the
actual
or recoded
variable
for’age,,)
who participated
in
the
survey
and their levels
of depression
(as
Depression
Inventory,
the higher
the
score, the higher
the
level
of depression).
Remember
to show the
SPSS
output that
you have
generated
for
the
above analysis.
(a)
Identify
the dependent
and independent
variables
in
the regression
analysis.
(d)
Based
on the regressiontnodel
generated,
(e)
(i)
Derive
the regression
equatiory
(i0
Explain
the usefulness
of the regression
equation.
\A/hat
depression score
would
an adult leamer
likely
to get if he is
34
years
old?
[Note:
Question
4:
Show
your
calculations clearly.]
(20
marks)
t=:jfMAg?.
measured
by the Beck
Based
on
the
SPSS
outputs
generated
in
each
of
the
above
statistical analysis
that
you have
performed
in
Questions
L
to 3, briefly
discuss the
survey results, relating
your
analysis
and
discussion to the
context
of Singapore
society.
Your
analysis
should be
written in approximately
550-600
words. You
may wish to
include relevant
literature to
substantiate
your
discussion.
[Note:
srrrl utilrve[s1]y.:
?
i..€.’
‘,li
i”
]
i,,,i
,€
‘,,.i
:
(2
marks)
(2
marks)
(3
marks)
(2
marks)
(3
marks)
(3
marks)
(2
marks)
(4
marks)
:::. .:,,.,11
:.:y$696217;
English Competency
(5
marks)
English competenry
is an assessable
component of
all TMAs and 5″/o of
the total marks
for each
TMA have been allocated
to this component.
This component
refers to your
spelling,
punctuation, gr;[nmar and overall
language
use.
Referencing
Please do note
that you
have to use proper
referencing
in your
TMA writing, especially
when
you
include
materials or
information gathered
from
any
published
sources. You should
refer to
the
“Guidance on Referencing
in APA
format”, which
is available
in Blackboard,
to have
a
better
idea how to
do your referencing.
FIVE
(5)
marks
will be
deducted unless
these
are
presented accurately
in APA format.
—
End of TMA02
—
.P3Y3cr
,:i:.,r
,
l’
TMA02: lnfer enti al St ati sti cs
This
tutor-marked assignment
(TMA)
is worth
25%
of
the final mark for PSY392 Methods of
Data Analysis: Exploring Behavioural Sciences.
This
assignment
requires
you
to
perform
quantitative statistical
data analysig using inferential statistics generated
by the
software, SPSS
(Student
version).
Please upload this assignment to
Turnitin by
l6
Apr;
I
zot
z
Do note
that the Blackboard system will
automatically deduct penalties for every
day that your
assignment
is late. With this automatic
deductiory there will
be no need to request extension
from your tutor because
your tutor does
not have the mandate to over-ride
the Blackboard
system
settings. Students
will need to
form
their
own
judgement
as to
how many marks they
are willing to forego
for
each extra
day that
they gain to work on their
assignment.
Take
care to ensure
that
you
upload the
correct TMA document
to the correct
folder
of
the
correct
course.
Requests to transfer
incorrectly uploaded
documents to the correct
folder will
require an official
appeal
(administration fee
$53.50).
Backup
your
TMA at all times. Once
you have
uploaded your
TMA
(in
Word document
format), retain
the Turnitin
digital receipt
as evidence of
a
successful
submission.
Double check
by
viewing your submitted
document
to ensure that
the entire document
has been uploaded.
Word Limit
Please observe
the word
limit, as anything beyond
70% of
the word limit
will not be marked.
Note that
all text
(including in-text citations,
figures,
tables) is included
in the word count
except
the reference
list. The word
limit is L000
words, excluding
question 4.
Referencing
Follow the
APA
format as described
in the
“Guidance on Referencing
in APA
Format”
available
in Blackboard.
Appropriate
in-text citations
and an accurately
formatted
Reference
section
are expected.
FIVE
(5)
marks
will be deducted
unless
these
are presented
accurately
in
APA
format.
Plagiarism and
Collusion
The assignment
is to be completed
on your own.
You may
discuss the TMA
with
your
course-
mateg however,
the assignment
must be
written up independently.
Do not share your
draft or
final TMA with
anyone before
the marked
TMAs are
returned to you.
Avoid plagiarism
by giving yourself
sufficient time
to research and understand
the material
so
that you
can write
up your assignment
in your own
words. Citing the source
of
‘copied’
material does
not excuse
it from plagiarism.
Do ensure
that any paraphrasing
is done
appropriately.
Quotations
sIM:UNIVERSTY*
should
be used sparingly.
TMAO2-2

SOLUTION

Ans 1

i>

Here we use Independent sample T-test statistic.

ii>

We want to test there are significant differences in the quality of life between male and female adult learners before pursuing adult education. So we use independent sample T-test.

iii>

NULL HYPOTHESIS : there are no significant differences in the quality of life between male and female adult learners before pursuing adult education.

ALTERNATIVE HYPOTHESIS : there are significant differences in the quality of life between male and female adult learners before pursuing adult education.

T-Test

From t-test for equality of means we see that alternative hypothesis is rejected at 5% level of significance and null hypothesis is accepted. Then we conclude that there are no significant differences in the quality of life between male and female adult learners before pursuing adult education.

b.

i>

Here we use paired sample T-test statistic.

ii>

We want to test there are significant differences in the quality of life of the adult learners before they pursued adult education and one year after their graduation.

iii>

NULL HYPOTHESIS : there be no significant differences in the quality of life of the adult learners before they pursued adult education and one year after their graduation.

ALTERNATIVE HYPOTHESIS: There be a significant differences in the quality of life of the adult learners before they pursued adult education and one year after their graduation.

T-Test

From paired sample t-test we see that alternative hypothesis is accepted at 5% level of significance that means there are significant differences in the quality of life of the adult learners before they pursued adult education and one year after their graduation.

c.

i>

Here we use one way ANOVA test as statistic.

ii>

We want to test if there are significant differences in the quality of life of adult learners of various age groups one year after their graduation.  And these are generated from same population so we use one way ANOVA test.

iii>

NULL HYPOTHESIS : there are no significant differences in the quality of life of adult learners of various age groups one year after their graduation.

ALTERNATIVE HYPOTHESIS: there are significant differences in the quality of life of adult learners of various age groups one year after their graduation.

From this ANOVA table we see that alternative hypothesis is accepted at 5% level of significance and reject the null hypothesis means there are significant differences in the quality of life of adult learners of various age groups one year after their graduation.

And from the multiple comparison post hoc test shows that the groups between (48 to 57) and (58 to 67) and groups (28 to 37) and (38 to 47) has no significant differences at 5% level of significance otherwise between other groups almost a significant difference occurred at 5% level of significance.

2.

a.

i>

Chi-square test statistics is appropriate for the about analysis.

ii>

To test for the association between reasons for pursuing adult education and age chi-square test statistic is the best.

b.

i>

Null hypothesis: there be no difference between observed and expected frequencies

Alternative hypothesis: there be a difference between observed and expected frequencies

ii> I don’t know about effect size.

iii> I don’t know about this.

iv>

Crosstabs

From the chi-square test table we see that alternative hypothesis is accepted at 5% level of significance that means there be a difference between observed and expected frequencies.

b.

i>

Here the value of r is 0.137

ii>

That indicates the linear relationship between two variables be 0.137

c.

i>

the value of r^2 is 0.137^2=0.0188

ii>

it indicates only (+)ve values of the linear relationship between two variables.

d.

i>

The regression equation is-

BDI= 15.797 + 0.185*age

ii>

from this regression equation we predict the value of BDI at various age.

e.

i>

The value of BDI at the age of 34 be-

15.797 + 0.185*34=22.087

JH73

But you can order it from our service and receive complete high-quality custom paper.  Our service offers Statistics  essay sample that was written by professional writer. If you like one, you have an opportunity to buy a similar paper. Any of the academic papers will be written from scratch, according to all customers’ specifications, expectations and highest standards.”