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1a)Determine the level of measurement (nominal; ordinal. Interval-ratio) for eac

ID: 3179345 • Letter: 1

Question

1a)Determine the level of measurement (nominal; ordinal. Interval-ratio) for each of the following variables. Identify the highest level at which the variable might be measured.

a) Income

b) IQ

c) Number of children in your family

d) Race

e) Social class

f) Type of Offense with which a defendant is charged

1b) Create a meaningful set of mutually exclusive and exhaustive categories for the nominal and ordinal variables. For each variable that you classified as interval ratio, identify whether it is discrete or continuous.

Explanation / Answer

1)

a)

a) Income - Interval - Ratio

It is a interval-ratio scale as this can be measured quantitatilvey

Highest level: Ratio sclae

b) IQ - Interval - Ratio

It is a interval-ratio scale as this can be measured quantitatilvey

Highest level: Ratio sclae

c) Number of children in your family - Interval - Ratio

It is a interval-ratio scale as this can be measured quantitatilvey

Highest level: Ratio sclae

d) Race - Nominal

There is no quantification for race. And the ordering of the category doesn't matter.

Highest level: Nominal

e) Social class - Ordinal

It is a categorical variable with rank order.

Highest level: Ration scale. Becuase, there are factors which determines the social class which are quantifiable. For example, family income. Hence, scoial class can be measured in ratio scale too.

f) Type of Offense with which a defendant is charged - Ordinal

It can be a ordinal variable. Beucase, it depends on the seriousness of the act. So, there will be a ranking order.

b)

a) Income - Continuous

b) IQ - Continuous

c) Number of children in your family - Discrete

d) Race

White, Black, Asian

e) Social class

Low Socio class, Middle Social class, High Social Class

f) Type of Offense with which a defendant is charged

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