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Research Statistics And Data Processing Question Paper

Research Statistics And Data Processing

Course:Master Of Education In Early Childhood

Institution: Kenyatta University question papers

Exam Year:2009

KENYATTA UNIVERSITY
UNIVERSITY EXAMINATIONS 2009/2010
SUPPLEMENTARY/SPECIAL EXAMINATION FOR THE DEGREE OF MASTER OF
EDUCATION (GUIDANCE AND COUNSELLING)
EGC 501: RESEARCH STATISTICS AND DATA PROCESSING

DATE: FRIDAY, 27TH NOVEMBER 2009

TIME: 9.00 A.M. - 12.00 P.M.

INSTRUCTIONS: Answer ALL questions.
1.
a.
What are the two forms of Inferential Statistics? Discuss both. (8
marks)

b.
Explain what are considerations for an appropriate statistical test. (4 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.
Suppose the cognitive psychologist designs a research study to investigate

different problem-solving strategies. Ten (10) subjects are randomly assigned

to one of the four (4) different groups; each group is taught to use a different

problem-solving strategy. Time is noted they take to solve the problems 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 using a = .05

Summary ANOVA
Source of
SS df MS F FO
Variation Treatment100.6
Error 4.2

Total
a.
State the hypotheses.(2marks)

b.
Set the criterion for rejecting H0.(3 marks)

c.
Complete the ANOVA and compute the test statistics.(4 marks)

d.
Compute 2? .(2 marks)
e.
Interpret the results.(2marks)

4.
(i)
What is a multiparameter test?
(2 marks)

(ii)
Discuss what are advantages and disadvantages of multiparameter
tests.(4 marks)

(iii)
Discuss how the advantages can be exploited for optimum use.
(1 mark)

5. Consider
a
two independent sample design in which you wish to test whether
there is any statistical 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 the two
samples are the same say?(3marks)

(c)
Comment on the robustness of the test.

(2 marks)

6.
(i)
Tossing a coin 7 times. What is the probability of 5 heads?
(2 marks)

(ii)
Consider a binomial distribution with the following parameters

N = 100. p = 0.6. Assuming this distribution is approximately normal,

what is P 56
[
= X =
]
64 ?

(4 marks)

(iii)
A true-false examination consisting of 100 items was administered
and a student obtained 62 items right. Test whether there is evidence
to indicate that the student was merely guessing on times, at the level
of significance(a )of.05.(4marks)
(iv)
Discuss the strengths and weaknesses of nonparametric statistical tests
(5 marks)

7.
A researcher carried out a study on five variables on a group of subjects he

selected randomly from his population. The variables were:

X1=Scores on a test in Mathematics

X2=Scores on a test in English

X3=Scores on a test in Kiswahili

X4=Scores on a test in Social Science

X5=Scores on a test in Creativity

The researcher had the covariance matrix for the variable as:
? 225 - 55 - 62
52
100 ?
?
?
?- 55 196
26
54
- 58?

S = ?- 62
26
121
36
- 32?
?
?
? 52
54
36
144
- 20?
?100 - 58 - 32 - 20 324 ?
?
?
(a)
Find the correlation matrix.(4marks)

(b)
What is the correlation between Kiswahili and Social Science?
(1 mark)

(c)
Interpret the square of this correlation i.e. 2
r . (2marks)

*************

Research Statistics And Data Processing Question Paper

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