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Data Variables

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Data Variables

Dr. Asish Satpathy

Data Variables

Data

Qualitative

Is descriptive and conceptual and cannot be measured

Quantitative

Can be counted, measured, and expressed using numbers

Quantitative Data Variables

Numerical Categorical

Interval Ratio Nominal Ordinal

Example: Starbucks Franchise

Business Name Address

Starbucks-3 N Dobson Rd

City State # of Employees Sales Volume

Starbucks-1 E Jefferson St Phoenix Arizona

Starbucks-2 College of Business Tempe Arizona

Chandler Arizona

7

15

10

$345,000

$739,000

$493,000

Starbucks-4 E Warner Rd Gilbert Arizona

Starbucks-5 W Southern Ave Mesa Arizona

Starbucks-6 N Hayden Rd ScottsdaleArizona

Starbucks-7 N Scottsdale Rd ScottsdaleArizona

6

14

24

12

$296,000

$690,000

$1,182,000

$591,000

Categorical: Nominal

 In nominal measurement the numerical values just

"name" the attribute uniquely.

 A player with number 24 is not more of anything than a player with number 23, and is certainly not better than number 23.

 Numbers are used to classify (male or female) or categorize (Color) – can be stored as “word”, “text” or

“nominal code”.

Example: Employment Classification

 1 for Educator

 2 for Construction Worker

 3 for Manufacturing Worker

Quiz-1

 Can you find mean or average value of nominal data? Yes or No?

Characterized as:

(1)Frequency

(2)Percentage

Categorical: Ordinal

 Categorical data can be on an ordinal scale. Numbers are used to indicate rank or order

 Relative magnitude of numbers is meaningful

 Differences between numbers are not comparable

Example: Difference between strongly agree and agree is not necessarily same as the difference between disagree and strongly disagree.

Strongly

Agree

1

Agree

2

Neutral

3

Another example (rank value as shown below)

 1 for President

 2 for Vice President

 3 for Plant Manager

Disagree

4

Strongly

Disagree

5

Quiz-2

 Can you find mean or average value of ordinal data?

Characterized as:

(1)Frequency

(2)Percentage

Numerical: Interval

 Also known as “Scale”, “Quantitative” or “Parametric” data

 Distances between consecutive integers are equal

 Relative magnitude of numbers is meaningful

 Differences between numbers are comparable

 Location of origin, “zero”, is arbitrary

 Data are always numerical

 Example: Temperature at different rooms in a home

Numerical: Ratio

 Ratio is very similar to the interval scale, with the difference that it has a true zero point.

 This scale is commonly used for values that are measured in numbers, such as length, height, weight, or monetary values like cost and revenue.

 Relative magnitude of numbers is meaningful

 Differences between numbers are comparable

 Location of origin, zero, is absolute (natural)

Examples: Height, Weight, and Volume;

Monetary Variables, such as Profit and Loss, Revenues;

Data Variables in JMP

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