Question

In: Statistics and Probability

Types of data: are they nominal, ordinal, interval, or ratio? And are they categorical or continuous?

 

Types of data: are they nominal, ordinal, interval, or ratio? And are they categorical or continuous?

  1. Gender (1=female/2=male)- my answers are nominal and categorical
  2. Work status (1=part-time/2=full-time) - my answers are nominal and categorical
  3. Hours worked per week (1 through 99 hours) - my answers are ratio and continuous
  4. Region (1=Northwest/2=West/3=Southwest/4=Midwest) - my answers are nominal and categorical
  5. Performance (1=below avg/2=avg/3=above avg) - my answers are ordinal and continuous
  6. Organizational commitment (1=not at all through 7=very committed) - my answers are ordinal and continuous
  7. Training program (1=new/2=old) - my answers are nominal and categorical
  8. Turnover intentions (1=never through 7= frequently) - my answers are ordinal and continuous

Solutions

Expert Solution

  1. Gender (1=female/2=male)- my answers are nominal and categorical ​​​​​​. Correct: as the (1,2)are just indiacation to female and male respectively. Hence data are nominal and categorical.
  2. Work status (1=part-time/2=full-time) - my answers are nominal and categorical. Correct: as the (1,2) are used to denote categories work status i.e part time and full time respectively. Hence data of work status are nominal and categorical
  3. Hours worked per week (1 through 99 hours) - my answers are ratio and continuous.Correct : Hours worked per week is time.Time data is ratio and continuous as it takes any value between 1 to 99 (continuous) and time 0 is meaningful (ratio).
  4. Region (1=Northwest/2=West/3=Southwest/4=Midwest) - my answers are nominal and categorical. Correct : as the regions Northwest, West, South West, Midwest are named as 1,2,3,4. Hence data are nominal and categorical.
  5. Performance (1=below avg/2=avg/3=above avg) - my answers are ordinal and continuous. Incorrect: here performances are measured on ordinal scale i.e in order from below average to above average but the distance between two categories are not known. Here 1 is just name to below average and it doesn't mean that its measure of that below average. Hence it is not continuous. Its is category. Correct answer : Ordinal and Categorical.
  6. Organizational commitment (1=not at all through 7=very committed) - my answers are ordinal and continuous. Incorrect :Here data organizational commitment is measured in order. But the eg : 1 is not the numerical measure of not at all though. Its just the name to that category. Also we don't know the distance (width of interval) between two categories hence its not continuous. It is categorical. Correct answer : Ordinal and categorical.
  7. Training program (1=new/2=old) - my answers are nominal and categorical. Correct : As the new and old are categories of training programme and are named as 1,2. Hence data is nominal and categorical.

Turnover intentions (1=never through 7= frequently) - my answers are ordinal and continuous​​​​​​. Incorrect: here the data of turnover intentions is measured in ordered categories i.e never though to frequently and named from 1 to 7. Also 1 to 7 are just the names and not numerical measures of those categories and we don't know the distance between the categories. Hence its not continuous. It is categorical. Correct answer : Ordinal and categorical.

Summary: Ordinal data is categorical.


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