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Statistics And Computer Application Question Paper

Statistics And Computer Application

Course:Doctor Of 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 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]
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

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]

Statistics And Computer Application Question Paper

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