Question

In: Statistics and Probability

Hi. I'm looking for support in identifying the levels of measurement for each of the following...

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

Solutions

Expert Solution

# 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 )


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