School

Ryerson UniversityDepartment

Quantitative MethodsCourse Code

QMS 102Professor

Ayesha KhanChapter

1This

**preview**shows half of the first page. to view the full**1 pages of the document.**Types of Measures

Nominal

Limited number of different values

Each value (category) is a verbal description

There is no order to the values

Even if the categories are identified as numbers, i.e. group1, group 2, mathematical operations are meaningless.

i.e. Colour of hair: blonde, brown, Sex

Ordinal

Limited number of values

Each value is usually a verbal description

There is an order to the values, i.e.: any value is greater or lower than all other values.

Even if the categories are identified as numbers as in tennis rankings, i.e. seed1, seed 2, mathematical operations

are meaningless since distances are not known.

i.e. Position in a company: chair > president > dean > chairman > teacher > student

Old > middle aged > young

Interval

Many numerical values, integer or real

Values are ordered and the numerical nature of the value indicates distance. A 1000m mountain is 250m higher

than a 750m mountain.

Because the numerical values indicate distance, some mathematical operations like addition and subtraction are

allowed.

Because the location of 0 is arbitrary, operations that reference 0, like multiplication and division are meaningless.

If you are on Denver Colorado (at 1000m) next to a 4000m and 2000m mountain, is the 4000m mountain twice as

high as the 2000m mountain?

i.e. height of a mountain or temperature

Ratio

Many numerical values, integer or real

Values are ordered and the numerical nature of the value indicates distance. 0 is in a “natural” location.

All mathematical operations are meaningful. ie: If your friend makes $16/hour and you make $8/hr. then your

friend makes $8/hr more than you (subtraction) also your friend makes twice as much as you (multiplication).

i.e. hourly income or weight

###### You're Reading a Preview

Unlock to view full version