Question

In: Statistics and Probability

For each variable, determine the scale of measurement (nominal, ordinal, interval, or ratio) and the type...

For each variable, determine the scale of measurement (nominal, ordinal, interval, or ratio) and the type of variable (categorical or numerical); if it is numerical is it discrete or continuous? Justify your decision for each one

  1. What school did the participant attend?
  2. What is the highest level of education for the participants parent?
  3. Is the participant a female or not?
  4. What is the annual income for the participant's household?
  5. What is the participant's math outcome score?
  6. How many students are gifted in the participant’s school?

Solutions

Expert Solution

What school did the participant attend : (nominal , categorical ) (since the variable school can not be used in arithmetic operation as well cannot be ordered in a defined manner)

What is the highest level of education for the participants parent : (nominal , ordinal ) (since the variable can not be used in arithmetic operation but can be ordered in a defined manner)

Is the participant a female or not (nominal , categorical ) (since the variable   can not be used in arithmetic operation as well cannot be ordered in a defined manner)

What is the annual income for the participant's household : ( numerical , ratio, continuous) (since the variable can be used in arithmetic operation also has a defined zero level and income can take wide range of values apart from integers )

participant's math outcome score : ( numerical , ratio, continuous) (since the variable can be used in arithmetic operation also has a defined zero level and can take wide range of values apart from integers )

How many students are gifted in the participant’s school ( numerical , ratio, integers) (since the variable can be used in arithmetic operation also has a defined zero level but can take only integer values )


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