In: Statistics and Probability
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 | 1 | 0 | F | 76 | 55.3346844 | 101.8303633 | LOW |
1866 | 0 | 1 | 0 | 0 | 0 | M | 51 | 73.3 | 67.84825575 | HIGH |
1869 | 0 | 0 | 0 | 0 | 0 | M | 51 | 68.74440505 | 106.5259832 | LOW |
# Nominal scale : When measuring using a nominal scale, one
simply names or categorizes responses.
For example : Gender, favorite color, religion etc.
So nominal variable is not numerical , its just categorical
variable , you can categorize that variable in different categories
.
# Ordinal scale : Data at this level can be ordered, but no
differences between the data can be taken that are
meaningful.
For example : Class ranks : distinction, first class , second class
, pass class , fail.
For ordinal scale we can rank the categories
# Interval scale : The interval level of measurement deals with
data that can be ordered, and in which differences between the data
does make sense.They do not have a true zero point.
For example : The Fahrenheit and Celsius scales of
temperatures,
You can talk about 30 degrees being 60 degrees less than 90
degrees,so differences do make sense. However 0 degrees (in both
scales) cold as it may be does not represent the total absence of
temperature.
# Ratio scale : Data at the ratio level possess all of the
features of the interval level, in addition to a zero value. Due to
the presence of a zero, it now makes sense to compare
the ratios of measurements.Phrases such as "four times" and "twice"
are meaningful at the ratio level.
For example : A measurement such as 0 feet does make sense, as it
represents no length. Furthermore 2 feet is twice as long as 1
foot.
Therefore levels of measurement for the given variables are :
Study_ID : Nominal ( because it is identity number of individual )
ANEMIA : Nominal ( because it is binary )
AGE : Ratio
GENDER : Nominal
RACE : Nominal
CURRSMOKE : Nominal
CURRALC : Nominal
MEAN ARTERIAL PRESSURE : Ratio
WEIGHT : Ratio
STRESS : Ordinal ( because categorize in order None , low , high
)