Statistic And Computer Application Question Paper

Statistic And Computer Application

Course:Phd In Philosophy

Institution: Kenyatta University question papers

Exam Year:2009

KENYATTA UNIVERSITY
UNIVERSITY EXAMINATIONS 2009/2010
FIRST SEMESTER EXAMINATION FOR THE DEGREE OF DOCTOR OF
PHILOSOPHY
PSY 801: STATISTIC AND COMPUTER APPLICATION

DATE: FRIDAY 27TH NOVEMBER 2009
TIME: 9.00 A.M. – 12.00 NOON

INSTRUCTIONS:
ANSWER ALL QUESTIONS
1.
Consider a two independent sample design in which you wish to test whether
there is any statistically significant difference between groups.
a)
For samples of sizes n1 and n2 define a test statistic bringing out clearly

assumptions as well as the null hypothesis to be tested.
[5 marks]
b)
What is the sampling distribution of this test statistic if both samples are of

same size, say n.

[2 marks]
c)
Comment on the robustness of the test.

[6 marks]

2.
Outline on the way you test hypothesis on two dependent sample means up to the

stage of decision – making. Stating all your assumptions.
[6 marks]

3. i) Discuss
the
strengths and weakness of nonparametric statistical tests.

[8 marks]

ii)
In the clinical trials to study the efficacy of AZT, persons with AIDs were

randomly assigned to receive AZT or a placebo. Neither the subjects nor
their
doctors
(physicians) knew whether they were receiving AZT or the
Page 1 of 3

placebo
(commonly
referred
to
as
a “double-blind” study). After 6

months on the drug, two of the 138 subjects in experimental i.e E
( AZT)group had died, whereas 22 of the 148 persons in the control C
(Placebo) group had died.
Test whether AZT prolongs life ata level 0.05.

[7 marks]

4.
A researcher carried out study on five variables on a group of subject he
selected randomly from his population. The variables were:

X1 = Scores on a test in English

X2 = Scores on a test in Mathematics

X3 = Scores on a test in Kiswahili

X4 = Scores on a test in Social Science

X5 = Scores on a test in Psychomotor Skills
The researcher had the covariance matrix for the variable as:

?225 - 45 - 60 48
90
?
?
?
?- 45 196
25 52 - 58
?
S = ?- 60
25
121 36 - 30
?
?
?
?48
52
36 169 - 20
?
?90 - 58 - 30 - 20 324 ?
?
?

i)
Find the correlation matrix

[5 marks]

ii)
What is the correlation between Kiswahili and English?
[1 mark]

iii)
Interpret the square of this correlation i.e r
r

[ 2 marks]
KE

5.
Suppose the cognitive psychology designs research study to investigate different
problem-solving strategies. Eight (8) subjects are randomly assigned to one of
the five (5) different groups; each group is taught to use a different problem-
solving strategy. Time is noted they take to solve the problem after training.

The following is a partially completed summary ANOVA table for this study.
Complete the summary ANOVA table and answer the following questions for
testing the appropriate hypothesis usinga = .05
Page 2 of 3

Summary ANOVA
Source of
SS
df
MS
F
F0
Variation
Treatment
97.8

Within

3.4

Total

a)
State the hypothesis.

[2 marks]
b)
Set the criterion for rejecting H0.

[ 3 marks]
c)
Complete the ANOVA and complete the test statistic.
[4 marks]
d)
Complete 2
? .

[2 marks]
e)
Interpret the results.

[ 2 marks]

6.
i)
What is multi parameter test?

[2 marks]

ii)
Discuss what are advantages and disadvantages of multiparametor tests.

[4 marks]

iii)
Discuss hoe the advantages can be exploited for optimum use. [1marks]

7.
a)
What are the two forms of Inferential Statistics? Discuss both. [8 marks]

b)
Explain what considerations for an appropriate statistical test are.[4 marks]

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