School of Distance Education
UNIVERSITY OF CALICUT
SCHOOL OF DISTANCE EDUCATION
B Sc. Counselling Psychology (2011 Admn.)
III SEMESTER
COMPLEMENTARY COURSE
PSYCHOLOGICAL STATISTICS
QUESTION BANK
1.
2.
3.
The limits of Karl Pearson’s coefficient of correlation is
(i) 0, 1
(ii) -1, 1
(iii) -∝, 0
(iv) 0, ∝
Correlation Co efficient is independent of change of …………………
(i) Origin
(ii) Scale
(iii) Both A and B (iv) None of these
If the relation between two variables is linear, then the graph takes which among the
following shapes?
(i) Curve
(ii) Circle
(iii) Straight line
(iv) Ellipse
4.
Coefficient of Correlation measures which of the following relation?
(i) Curvilinear
(ii) Linear
(iii) Both A and B (iv) None of these
5.
The Curvilinear relation between variables can be represented graphically by a ……….
(i) Circle
6.
7.
8.
10.
(iii) Curve
(iv) None of these
If Correlation Coefficient between two variables is -1, it indicates which among the
following?
(i) Perfect Linear Correlation
(ii) Perfect Curvilinear Correlation
(iii) High linear correlation
(iv) High curvilinear Correlation
The Correlation coefficient between two variables were found to be r = 0.45. It shows
which among the following?
(i) High relation
(ii) Low Relation
(iii) Negligible Relation
(iv) Moderate Relation
Two Independent variables are
(i) Uncorrelated
9.
(ii) Straight line
(ii) Correlated
(iii) Not Certain
(iv) Undefined
Spearman’s formula has been given for calculating which among the following?
(i) Coefficient of correlation
(ii) Coefficient of rank correlation
(iii) Both A and B
(iv) None of these
If some of the individuals receives the same rank in a ranking of merit, they are said to
be…………………..
(i) Equal
Psychological Statistics
(ii) Unique
(iii) tied
(iv) None of these
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11.
12.
Which amongst the following statements is correct?
(i) Correlation coefficient can exceed unity numerically
(ii) γ lies between − 1 and α
(iii) If r = ±1the correlation is perfect and negative
(iv) If r = 1, the correlation is perfect and positive
For repeated ranks, to calculate the correlation coefficient which of the following
formula is used?
(i)
∑(
∑(
∑
(iii) 113.
14.
)
) ∑(
(
16.
As a child grows his/her height increases.
relationship between age and height?
[∑
∑
∑ ∑
(∑ ) ][ ∑
(
∑
)
]
(∑ )
It indicates which of the following
(i) Negative Correlation
(ii) Positive Correlation
(iii) Cause and effect
(iv) No relationship
Suppose that generally speaking, the taller the people are, the more they weigh. Which
of the following is the best estimate of the correction coefficient between height and
weight?
(ii) -7.7
(iii) -0.11
(iv) 0.00
Spearman’s Rank correlation coefficient ranges between …………….
(i) 0 and ∞
(ii) -∞ and 0
(iii) -1 and 1
(iv) -2 and 2
Spearman Rank correlation Coefficient is calculated using which of the following
formula?
(i) 1-
17.
[ ∑
(iv) 1-
)
(i) 0.63
15.
(ii)
)
(
∑
)
(ii)
(
∑
)
(iii) 1- (
∑
)
(iv)
(
∑
)
Which amongst the following is a limitation of the rank correlation methods?
(i) Useful for data of qualitative nature
(ii) Cannot be used for frequency data
(iii) Can be used when only the ranks are given
(iv) It is not difficult to calculate
18.
19.
20.
If x and y are two variables, which of the following indicate negative correlation
between the two?
(i) As x increases y increases
(ii) As x decreases y decreases
(iii) As x decreases y increases
(iv) All of the above
If X: 80
70
60
40 30
Y: 50
45
30
20 10
Then the two variables X and Y are ……………………………
(i) Negatively correlated
(ii) Positively Correlated
(iii) No Correlation
(iv) None of these
The amount of change in one variable bears a constant ratio to the amount of change in
the other variable. Then the two variables are……………..
(i) Linearly correlated
(iii) Not at all correlated
Psychological Statistics
(ii) Curvilinearly correlated
(iv) None of these
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21.
Which of the following is a merit of the Karl Pearson’s correlation coefficient?
(i) Linear relationship between the two variables is assumed
(ii) Interpretation must be made with great care
(iii) It is a time consuming method
(iv) Summarizes in one figure the degree and nature of correlation.
22.
Spearman’s Rank correlation coefficient is used on which amongst the following
situation?
(i) Variables are in ordinal form
(ii) Expected relationship is not ordinal
(iii)Both A and B
(iv) None of these
23.
Which of the following is the formula for calculating Pearson’s correlation coefficient?
(i)
(iii)
∑(
∑(
[∑
)(
) ∑(
∑
)
)
∑ ∑
(∑ ) ][∑
(ii) 1(∑ ) ]
(
∑
)
(iv) Both A and B
24.
The simplest way of the diagrammatic representation of a bivariate data is
(i) Histogram
(ii) Scatter diagram
(iii) Frequency Curve
(iv) Polygon
25.
In a scatter diagram of two variables X and Y, the points plotted tend to lie on a
straight line. The relationship between X and Y is ………………….
(i) Curvilinear
(ii) Linear
(iii) No relationship (iv) Both A and B
26.
In a scatter plot of X and Y, the points are scattered and there is no pattern in the
distribution of points. It indicates
(i) Positive Relationship
(ii) Negative Relationship
(iii) Linear Relationship
(iv) No relationship
27.
Scatter diagrams indicate which among the following
(i) Degree of relationship
(ii) Nature of Relationship
(iii) Both A and B
(iv) None of these
28.
Correlation coefficients indicate which among the following?
(i) Degree of relationship
(ii) Direction of relationship
(iii) Both A and B
(iv) None of these
29.
Which of the following is the importance of scatter diagrams?
(i) It exhibit whether the variables are linearly related
(ii) It exhibit the degree of relationship
(iii) Both A and B
(iv) None of these
30.
A Scatter diagram of two variables X and Y is a straight line going upward from left to
right. It indicates which among the following?
(i) Negative perfect linear relationship (ii) Positive perfect linear relationship
(iii) Negative linear relationship
(iv) Positive linear relationship
Psychological Statistics
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31.
32.
Which among the following is a statistic?
(i) Arithmetic mean of a population
(ii) Arithmetic mean of a sample
(iii) Variance of a population
(iv) Standard deviation of a population
Which among the following is a parameter?
(i) Arithmetic mean of population
(ii) Arithmetic mean of a sample
(iii) Variance of a sample
(iv) None of these
33.
A tentative solution to a problem is known as
(i) Root
(ii) Hypothesis
(iii) Parameter
34.
The type of research that determines the strength of relationship between two variables
is the …………………..
(i) Experiment
(ii) Survey
(iii) Case study
(iv) Correlational Study
35.
Which test is more sensitive?
(i) Parametric
(ii) Nonparametric (iii) Both A and B
(iv) None of these
36.
Hypothesis can be
(i)Directional
(iv) A and B
37.
‘Boys and girls differ in their mechanical aptitude’. It is a ……….. hypothesis
(i) Directional
(ii) Non directional (iii) Both A and B (iv) None of these
38.
Which among the following is tested in hypothesis testing?
(i) Null hypothesis
(ii) Alternative hypothesis
(iii) Directional hypothesis
(iv) None of these
39.
Which of the following is the type I error?
(i) The error of accepting H0 when H0 is true
(ii) The error of rejecting H0 when H0 is false
(iii) The error of rejecting H0 when H0 is true
(iv) The error of accepting H0 when H0 is false
40.
Which of the following is type II error?
(i) The error of accepting H0 whenH0 is true
(ii) The error of rejecting H0 when H0 is false
(iii) The error of rejecting H0 when H0 is true
(iv) The error of accepting H0 whenH0 is false
41.
Which among the following is ‘Level of significance’?
(ii) Non directional (iii) A or B
(i)Probability of type I error
(iii) Both A and B
42.
(iv) Statement
(ii) Probability of type II error
(iv) None of these
Which of the following statements is true?
(i) As the probability of type I error decreases, Probability of type II error increases
(ii) As the probability of type I error increases, probability of type II error decreases
(iii) Both A and B
(iv) None of these
Psychological Statistics
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43.
Shape of normal curve is………………….
(i) Bell shape
44.
45.
46.
48.
49.
(iii) J shape
(iv) straight line
Which of the following is a parametric test?
(i) Chi-square test
(ii) Sigh test
(iii) ANOVA
(iv) None of these
Critical region is the region of………………….
(i) Rejection of H0 when H0 is false
(ii) Acceptance of H0 when H0 is false
(iii) Rejection of H0 when H0 is true
(iv) None of these
For testing H0 :
(i) Two tailed test
47.
(ii) U Shape
=
against :
≠
(ii) One tailed test
we have which of the following test?
(iii) Both A and B
(iv) None of these
Which of the following is true for Normal curve?
(i) Mean > Median > Mode
(ii) Mean < Median < Mode
(iii) Mean > Mode > Median
(iv) Mean = Mode = Median
Which of the following statement is true for a normal curve?
(i) It is a bell shaped curve
(ii) Mean, Median and Mode coincide
(iii) It is Symmetric
(iv) All of the above
Which of the following statements is true about parameter test?
(i) Requires assumptions about parameters
(ii) Require data in interval or ratio scale
(iii) Both A and B
(iv) None of these
50.
Which of the following statement is true about nonparametric test?
(i) Do not state hypotheses in terms of a specific parameter
(ii) Few assumptions about population distribution
(iii) Subjects are usually classified into categories
(iv) All of the above
51.
52.
Data for nonparametric tests are in ……………. scales
(i) Nominal or Ordinal
(ii) Ordinal or Interval
(iii) Nominal or Interval
(iv) Interval or Ratio
Which of the following tests are more likely to fail in detecting a real difference
between two treatments?
(i) ANOVA
53.
(iv) Chi-square test
(ii) t-Test
(iii) Sign test
(iv) ANCOVA
Data for chi-square test is in the form of …………………
(i) frequencies
55.
(iii) ANCOVA
Which of the following is a ‘distribution free’ test?
(i) ANOVA
54.
(ii) t-test
(ii) Numerical Score (iii) Both A and B
(iv) None of these
Purpose of using Chi-square test is ………………
(i) Testing goodness of fit
(ii) Test of Independence
(iii) Both A and B
(iv) None of these
Psychological Statistics
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56.
Chi-square test for goodness of fit determines the fit between………………
(i) Population and sample proportions
(ii) Population mean and sample mean
(iii) Population and Sample variances
(iv) None of these
57.
Formula for calculating x2 is ………….
58.
(i) ∑ (0 − E)
)
(iv)
)
∑(
(ii) No difference
(iii) A or B
(iv) None of these
(ii) H0 is accepted
(iii) H1 is rejected
(iv) None of these
(ii) C+1
(iii) C-1
(iv) C-2
If there are four groups in the specified population, the degrees of freedom of X2 in
goodness of fit test is…………….
(i) 2
62.
∑(
In goodness of fit test, the degree of freedom of x2 is
(i) C
61.
(iii)
When calculated x2 value is larger than …………….
(i) H0 is rejected
60.
∑
Category into which the null hypothesis of Test of goodness of fit fall is ………
(i) No preference
59.
(ii)
(ii) 4
(iii) 5
(iv) 3
Chi – Square test of independence is used to test whether ……………………
(i) Two nominal variables are independent
(ii) Two interval variables are independent
(iii) Two ratio variables are independent
(iv) None of these
63.
Degrees of freedom in the Test of Independence with ‘C’ columns and ‘R’ rows is…….
(i) C x R
64.
(iii) C + R - 1
(iv) (C-1) R
Formula for calculating expected frequency for each cell in the Test of Independence
is…………………
(i)
65.
(ii) (C-1) (R-1)
(ii)
(iii)
(iv) None of these
Which of the following is given by coefficient of contingency?
(i) Correlation between two variables
(ii) Relationship between two variables
(iii) Strength of association between two variables
(iv) None of these
66.
Formula for calculating coefficient of contingency is given by
(i)
67.
68.
(ii)
(iii)
(iv)
Which one of the following is known as Median test?
(i) Mann-Whitney U test
(ii) Sign test
(iii) Wilconon Signed Ranks test
(iv) All of the above
Non parametric tests are used on which of the following situations?
(i) Sample size is quite small
(ii) Assumptions like normality not satisfied
(iii) Data in either nominal or ordinal scale (iv) All of the above
Psychological Statistics
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69.
70.
Mann-Whiteny U test is used to test the significance of difference between two ……
(i) Population means
(ii) Population distributions
(iii) Population variances
(iv) None of these
Which of the following is a basic assumption of Mann-whiteny U Test?
(i) If two sets of data differ significantly, the scores in one sample will be larger than the
scores in the other
(ii) If two sets of data differ significantly, the scores in one sample will be double the
scores in the other.
(iii) If two sets of data differ significantly, the score in one sample will be half the
scores in the other.
(iv) None of these.
71.
A and B are two sets of observations. The Mann Whitney U for set A is calculated
using which of the following formula.
(i) nAnB +
− RA
(
(iii) nAnB +
72.
73.
75.
76.
)
78.
(
)
− RA
(i) Larger of UA and UB
(ii) Smaller of UA and UB
(iii) Average of UA and UB
(iv) Sum of UA and UB
Which of the following is correct in Mann Whitney U test?
(
)
(ii) RA x RB =
(
)
(iii) RA+RB =
(iv) RA+RB =
Which of the following is the simplest nonparametric test?
(i) Mann-Whitney U test
(ii) Chi-Square test
(iii) Sign test
(iv) None of these
(
)
Sign test is used for comparing two ……………..
(i) Independent samples
(ii) Correlated Samples
(iii) Correlated Populations
(iv) Independent populations
For the two sample sign test, the sampling situation is such that the X and Y
observations are …………………..
(i) Paired
77.
(iv) nAnB +
− RA
Which among the following is Mann Whitney U of two sets A and B?
(i) RA-RB =
74.
(ii) nAnB +
(ii) Unpaired
(iii) Unique
(iv) None of these
Two observations in two sample sign test are …………………..
(i) Related and Unrelated
(ii) Treated and Untreated
(iii) Natural and Unnatural
(iv) None of these
Sign test is useful in which of the following situations?
(i) Variable considered has a continuous distribution
(ii) All subjects are not from the same population
(iii) Two correlated samples are to be compared
(iv) All of the above
Psychological Statistics
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79.
Nature of data for sign test is ……………………
(i) In nominal or ordinal scale
(ii) Direction of change is given
(iii) Two sets of measurements can be matched
(iv) All of the above
80.
In sign test the formula for Z is given by
(i)
81.
82.
(
(ii)
√
( ± . )
(iii)
√
( ± . )
(iv)
√
( ± . )
Wilconon Matched Pairs Signed Ranks test is used to test the difference between
two……………………..
(i) Related Samples
(ii) Matched pairs of individuals
(iii) Both A and B
(iv) None of these
Formula for calculating Z in Wilcoxon matched Pairs Signed Ranks Test is ……………
(i)
(iii)
83.
. )
X: 1
(
(
(
Y: 6
)(
2
)
(
)(
8
)
(ii)
)
(iv)
)
4
5
6
7
11
9
12
10
14
3
(
(
(
)(
(
)(
)
)
)
)
Karl Person’s correlation Coefficient is given by
(i) 0.62
84.
(ii) 0.56
(iii) 0.85
(iv) 0.34
Ranks of 7 students in two different subjects are given below.
Then which of the following is the Spearman’s Rank Correlation coefficient of the data.
X: 1
2
3
4
5
6
7
Y: 4
3
1
2
6
5
7
(i) 0.56
85.
(ii) 0.23
(iii) 0.91
(iv) 0.64
n=5, ∑xy = 214, ∑x = 30, ∑y = 40, ∑x2 = 220, ∑y2 = 340. The Karl Pearson’s Coefficient
of correlation of this data is
(i) -0.92
(ii) 0.29
(iii) 0.92
(iv) -0.81
*******
Psychological Statistics
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ANSWERS
1. (ii)
2. (iii)
3. (iii)
4. (ii)
5. (iii)
6. (i)
7. (iv)
8. (i)
9. (ii)
10. (iii)
11. (iv)
12. (iv)
13. (ii)
14. (i)
15. (iii)
16. (i)
17. (ii)
18. (iii)
19. (ii)
20. (i)
21. (iv)
22. (iii)
23. (i)
24. (ii)
25. (ii)
26. (iv)
27. (ii)
28. (iii)
29. (i)
30. (ii)
31. (ii)
32. (i)
33. (ii)
34. (iv)
35. (i)
36. (iii)
37. (ii)
38. (i)
39. (iii)
40. (iv)
41. (i)
42. (iii)
43. (i)
44. (iii)
45. (iii)
46. (iii)
47. (iv)
48. (iv)
49. (iii)
50. (iv)
51. (i)
52. (iv)
53. (iii)
54. (i)
55. (iii)
56. (i)
57. (iv)
58. (iii)
59. (i)
60. (iii)
61. (iv)
62. (i)
63. (ii)
64. (iii)
65. (iii)
66. (iii)
67. (iv)
68. (iv)
69. (ii)
70. (i)
71. (iv)
72. (ii)
73. (iv)
74. (iii)
75. (ii)
76. (i)
77. (ii)
78. (iv)
79. (iv)
80. (iii)
81. (iii)
82. (ii)
83. (iii)
84. (iv)
85. (i)
©
Reserved
Psychological Statistics
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