What are the four levels of measurement? Use an example to
discuss each of the levels.
What are the four levels of measurement? Use an example to
discuss each of the levels.
Solutions
Expert Solution
1.Nominal scales-When measuring using a nominal scale, one
simply names or categorizes responses. Gender, handedness, favorite
color, and religion are examples of variables measured on a nominal
scale.
The essential point about nominal scales is that they do not
imply any ordering among the responses. For example, when
classifying people according to their favorite color, there is no
sense in which green is placed "ahead of" blue. Responses are
merely categorized. Nominal scales embody the lowest level of
measurement.
2.Ordinal scales-A researcher wishing to measure consumers'
satisfaction with their microwave ovens might ask them to specify
their feelings as either "very dissatisfied," "somewhat
dissatisfied," "somewhat satisfied," or "very satisfied."
The items in this scale are ordered, ranging from least to most
satisfied. This is what distinguishes ordinal from nominal scales.
Unlike nominal scales, ordinal scales allow comparisons of the
degree to which two subjects possess the dependent variable.
For example, our satisfaction ordering makes it meaningful to
assert that one person is more satisfied than another with their
microwave ovens. Such an assertion reflects the first person's use
of a verbal label that comes later in the list than the label
chosen by the second person.
3.Interval scales are numerical scales in which intervals have
the same interpretation throughout. As an example, consider the
Fahrenheit scale of temperature. The difference between 30 degrees
and 40 degrees represents the same temperature difference as the
difference between 80 degrees and 90 degrees. This is because each
10-degree interval has the same physical meaning.
Interval scales are not perfect, however. In particular, they
do not have a true zero point even if one of the scaled values
happens to carry the name "zero." The Fahrenheit scale illustrates
the issue. Zero degrees Fahrenheit does not represent the complete
absence of temperature (the absence of any molecular kinetic
energy).
4.The ratio scale of measurement is the most informative scale.
It is an interval scale with the additional property that its zero
position indicates the absence of the quantity being measured.
A ratio scale as the three earlier scales rolled up in one.
Like a nominal scale, it providesa name or category for each object
(the numbers serve as labels).
Like an ordinal scale, the objects are ordered (in terms of the
ordering of the numbers). Like an interval scale, the same
difference at two places on the scale has the same meaning.
And in addition, the same ratio at two places on the scale also
carries the same meaning.The Fahrenheit scale for temperature has
an arbitrary zero point and is therefore not a ratio scale.
Another example of a ratio scale is the amount of money you
have in your pocket right now (25 cents, 55 cents, etc.). Money is
measured on a ratio scale because, in addition to having the
properties of an interval scale, it has a true zero point: if you
have zero money, this implies the absence of money.
1. Define each of the levels of measurement in detail (what are
the characteristics of each) in order, giving an example for each.
Explain how your choice is an example of the scale level.
2. Why is the combination of the measures of central tendency
and measures of variation so informative about a data set. Explain
how they work together to provide a complete picture.
1. (i) How do you understand the four
levels of measurement and give your own example?
(ii) A company’s human resources
department recently selected a sample of fifteen people. They
compared the employees’ performance rating (based on a 100-point
scale) and the number of overtime hours the employees had worked in
the past six months. The following SPSS output were recorded.
Correlation
Rating
Hours
Rating
Pearson Correlation
Sig. (2-tailed)
1
.643***
.054
Hours Pearson Correlation
Sig....
1. Give a short definition for each of the 3 measurement levels
that you can use in SPSS to characterize a variable. Also, give one
example variable for each measurement level. 2. Describe the basic
function of inferential statistics. What does it mean when we say a
result is significant when we conduct a quantitative analysis? What
do the different levels of significance mean? Use example(s) to
support your answer.
Hi. I'm looking for support in identifying the levels of
measurement for each of the following variables.
Study_ID
ANEMIA
AGE
GENDER
RACE
CURRSMOKE
CURRALC
MEAN ARTERIAL PRESSURE.
WEIGHT
STRESS
Study ID
currsmoke
curralc
anemia
race
anemia_base
gender
age
weight
mean artieral pressure
stress
1854
0
0
0
1
0
M
49
70.93
101.1987145
NONE
1857
1
0
1
1
0
M
49
72.16715815
60.48758335
NONE
1860
1
0
0
1
0
F
76
55.49
79.49940676
LOW
1863
0
0
1...