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CHAPTER 19 SECTION 5: NONPARAMETRIC STATISTICS
MULTIPLE CHOICE
145.
In testing
H
0
:
ρ
s
= 0 vs.
H
1
:
s
≠
0 when the sample size
n
> 30, the test statistic is approximately
normally distributed with mean 0 and standard deviation equal to:
a.
n
b.
n

1
c.
1 /
n
d.
1 /
n

1
ANS: D
PTS:
1
REF:
SECTION 19.5
146.
The Spearman rank correlation coefficient allows us to measure and test to determine whether there is
evidence of a linear relationship between two variables if:
a.
one or both variables is (are) ordinal
b.
both variables are interval but the normality requirement for parametric tests is not
satisfied.
c.
both a and b.
d.
neither a nor b.
ANS: C
PTS:
1
REF:
SECTION 19.5
147.
Which of the following statements about the Spearman rankcorrelation coefficient is false?
a.
It is equal to the Pearson correlation coefficient of the ranks of the data.
b.
The population Spearman correlation coefficient is labeled
s
.
c.
Values near +1 point to an uphill relationship between the two variables.
d.
All of these choices are true.
ANS: D
PTS:
1
REF:
SECTION 19.5
148.
The Spearman rank correlation coefficient is used to determine if a relationship exits between two
variables when:
a.
one of the variables is ordinal.
b.
both of the variables are ordinal.
c.
both variables are interval and the normality requirement is not satisfied.
d.
All of these choices are true.
ANS: D
PTS:
1
REF:
SECTION 19.5
149.
When the sample size
n
is greater than 30, the Spearman rank correlation coefficient
r
s
is approximately
normally distributed with:
a.
mean 0 and standard deviation 1.
b.
mean 1 and standard deviation
n

1
.
c.
mean 1 and standard deviation 1 /
n

1
.
d.
mean 0 and standard deviation 1 /
n

1
.
ANS: D
PTS:
1
REF:
SECTION 19.5
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150.
The Spearman rankcorrelation coefficient can only take on values between:
a.
0 and +
∞
b.
∞
and 0
c.

1 and +1
d.
∞
and +1
ANS: C
PTS:
1
REF:
SECTION 19.5
151.
When the relationship between two variables is very strong and decreasing in a linear way, the
Spearman rankcorrelation coefficient will be close to:
a.
0
b.

1
c.
ρ
d.
∞
ANS: B
PTS:
1
REF:
SECTION 19.5
152.
Which of the following shows the calculation of the sample Spearman rank coefficient?
a.
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 Spring '10
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