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Practice Problems
Differentiating Between
Scaled OrdinalNominal
Proportional
Problem #1
You recently attended a track meet and noted that the star athletes on the team also were on the honor roll. You heard other students complaining about how the teachers grade unfairly because they like the star athletes better and therefore give them better grades, even though they don’t deserve them.
You doubt this is true and set out to prove that there is no relationship between students’ athletic prowess and their GPA.
Advance the slide to see the options
You recently attended a track meet and noted that the star athletes on the team also were on the honor roll. You heard other students complaining about how the teachers grade unfairly because they like the star athletes better and therefore give them better grades, even though they don’t deserve them.
You doubt this is true and set out to prove that there is no relationship between students’ athletic prowess and their GPA.
Advance the slide to see the answer
Which is it?
Scaled OrdinalNominal
Proportional
You recently attended a track meet and noted that the star athletes on the team also were on the honor roll. You heard other students complaining about how the teachers grade unfairly because they like the star athletes better and therefore give them better grades, even though they don’t deserve them.
You doubt this is true and set out to prove that there is no relationship between students’ athletic prowess and their GPA.
Which is it?
Advance the slide to see the explanation
Scaled OrdinalNominal
Proportional
You recently attended a track meet and noted that the star athletes on the team also were on the honor roll. You heard other students complaining about how the teachers grade unfairly because they like the star athletes better and therefore give them better grades, even though they don’t deserve them.
You doubt this is true and set out to prove that there is no relationship between students’ athletic prowess and their GPA.
Which is it?
Advance the slide to see the next problem
Scaled OrdinalNominal
Proportional We are looking at the
result, which is GPA – not athletic prowess. And the data for the result (GPA) is
considered scaled.
Explanation
Problem #2
An occupational specialist has asked you to help her determine whether construction workers have higher blood pressure readings than dentists. She attributes higher blood pressure to greater stress. In her findings she found that 33% of construction workers and 27% of dentists had above normal blood pressure readings.
Advance the slide to see the options
Blood Pressure
Construction Workers DentistsBelow Normal
Below Below
Below Normal
Above Normal
Normal Normal
Above Normal
Below Below
Above Above
Above Above
Normal Above
Normal Normal
Normal Normal
Normal Normal
Normal Below
Above Above
An occupational specialist has asked you to help her determine whether construction workers have higher blood pressure readings than dentists. She attributes higher blood pressure to greater stress. In her findings she found that 33% of construction workers and 27% of dentists had above normal blood pressure readings.
Advance the slide to see the answer
Blood Pressure
Construction Workers DentistsBelow Normal
Below Below
Below Normal
Above Normal
Normal Normal
Above Normal
Below Below
Above Above
Above Above
Normal Above
Normal Normal
Normal Normal
Normal Normal
Normal Below
Above Above
Which is it?
Scaled OrdinalNominal
Proportional
An occupational specialist has asked you to help her determine whether construction workers have higher blood pressure readings than dentists. She attributes higher blood pressure to greater stress. In her findings she found that 33% of construction workers and 27% of dentists had above normal blood pressure readings.
Advance the slide to see the explanation
Which is it?
Scaled OrdinalNominal
Proportional
Blood Pressure
Construction Workers DentistsBelow Normal
Below Below
Below Normal
Above Normal
Normal Normal
Above Normal
Below Below
Above Above
Above Above
Normal Above
Normal Normal
Normal Normal
Normal Normal
Normal Below
Above Above
An occupational specialist has asked you to help her determine whether construction workers have higher blood pressure readings than dentists. She attributes higher blood pressure to greater stress. In her findings she found that 33% of construction workers and 27% of dentists had above normal blood pressure readings.
Advance the slide to see the next problem
Which is it?
Scaled OrdinalNominal
Proportional
ExplanationGroup percentages (another name for
nominal proportional) are being compared.
Blood Pressure
Construction Workers DentistsBelow Normal
Below Below
Below Normal
Above Normal
Normal Normal
Above Normal
Below Below
Above Above
Above Above
Normal Above
Normal Normal
Normal Normal
Normal Normal
Normal Below
Above Above
Problem #3
It is time for graduating seniors to begin applying for college and you want to know if students who apply to multiple colleges have a different acceptance rate than those who apply to just one. To do the study, you ask students how many colleges they applied to and how many acceptances they received. You take the average for each group and compare them.
Advance the slide to see the options
Advance the slide to see the answer
It is time for graduating seniors to begin applying for college and you want to know if students who apply to multiple colleges have a different acceptance rate than those who apply to just one. To do the study, you ask students how many colleges they applied to and how many acceptances they received. You take the average for each group and compare them.
Which is it?
Scaled OrdinalNominal
Proportional
Advance the slide to see the explanation
It is time for graduating seniors to begin applying for college and you want to know if students who apply to multiple colleges have a different acceptance rate than those who apply to just one. To do the study, you ask students how many colleges they applied to and how many acceptances they received. You take the average for each group and compare them.
Which is it?
Scaled OrdinalNominal
Proportional
Advance the slide to see the answer
It is time for graduating seniors to begin applying for college and you want to know if students who apply to multiple colleges have a different acceptance rate than those who apply to just one. To do the study, you ask students how many colleges they applied to and how many acceptances they received. You take the average for each group and compare them.
Explanation
There are equal intervals between the number of college acceptances a student might receive (1, 2, or 3).
Which is it?
Scaled OrdinalNominal
Proportional
Problem #4
Advance the slide to see the options
It is time to pick a valedictorian for the graduating senior class. One of the factors that goes into selecting a valedictorian is GPA. In order to aid in the selection process, you rank the students in the senior class based on their GPA.
Advance the slide to see the answer
It is time to pick a valedictorian for the graduating senior class. One of the factors that goes into selecting a valedictorian is GPA. In order to aid in the selection process, you rank the students in the senior class based on their GPA.
Which is it?
Scaled OrdinalNominal
Proportional
Advance the slide to see the explanation
It is time to pick a valedictorian for the graduating senior class. One of the factors that goes into selecting a valedictorian is GPA. In order to aid in the selection process, you rank the students in the senior class based on their GPA.
Which is it?
Scaled OrdinalNominal
Proportional
Advance the slide to see the next problem
It is time to pick a valedictorian for the graduating senior class. One of the factors that goes into selecting a valedictorian is GPA. In order to aid in the selection process, you rank the students in the senior class based on their GPA.
Which is it?
Scaled OrdinalNominal
Proportional
Explanation
The students are ranked according to their GPA, and rank order data is
ordinal.
Problem #5
You are working with a newly formed school district. Before you begin your work as a school psychologist you want to learn more about the nature of the families and those living in the boundaries. You go to the department of vital statistics and are given census data regarding the socio-economic conditions of families in the new district.
You wish to compare the percentage of those below the poverty line in the district with the national percentage.
Advance the slide to see the options
Advance the slide to see the answer
You are working with a newly formed school district. Before you begin your work as a school psychologist you want to learn more about the nature of the families and those living in the boundaries. You go to the department of vital statistics and are given census data regarding the socio-economic conditions of families in the new district.
You wish to compare the percentage of those below the poverty line in the district with the national percentage.
Which is it?
Scaled OrdinalNominal
Proportional
Advance the slide to see the answer
You are working with a newly formed school district. Before you begin your work as a school psychologist you want to learn more about the nature of the families and those living in the boundaries. You go to the department of vital statistics and are given census data regarding the socio-economic conditions of families in the new district.
You wish to compare the percentage of those below the poverty line in the district with the national percentage.
Scaled OrdinalNominal
Proportional
Which is it?
You are working with a newly formed school district. Before you begin your work as a school psychologist you want to learn more about the nature of the families and those living in the boundaries. You go to the department of vital statistics and are given census data regarding the socio-economic conditions of families in the new district.
You wish to compare the percentage of those below the poverty line in the district with the national percentage.
Scaled OrdinalNominal
Proportional
Explanation
Because percentages across groups are being compared.
The End
Which is it?
Problem #6
Some of your fellow school counselors feel that students who request to be in the same lunch period as their friends tend to perform worse academically. You collect the names of all students who make this request and then take an average of their GPAs to determine which group performs better.
In order to choose between parametric and non-parametric tests, you must determine the nature of the data.
Advance the slide to see the options
Advance the slide to see the answer
Which is it?
Scaled OrdinalNominal
Proportional
Some of your fellow school counselors feel that students who request to be in the same lunch period as their friends tend to perform worse academically. You collect the names of all students who make this request and then take an average of their GPAs to determine which group performs better.
In order to choose between parametric and non-parametric tests, you must determine the nature of the data.
Some of your fellow school counselors feel that students who request to be in the same lunch period as their friends tend to perform worse academically. You collect the names of all students who make this request and then take an average of their GPAs to determine which group performs better.
In order to choose between parametric and non-parametric tests, you must determine the nature of the data.
Advance the slide to see the explanation
Which is it?
Scaled OrdinalNominal
Proportional
Some of your fellow school counselors feel that students who request to be in the same lunch period as their friends tend to perform worse academically. You collect the names of all students who make this request and then take an average of their GPAs to determine which group performs better.
In order to choose between parametric and non-parametric tests, you must determine the nature of the data.
The End
Explanation
We are examining their GPAs, which are a type of
scaled data.
Which is it?
Scaled OrdinalNominal
Proportional
