In: Statistics and Probability
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
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 )