In: Statistics and Probability
A group of students agreed to participate in a study. Students were first asked to state their age and then to perform a maximal vertical jump. Each participant was allowed 3 attempts. Jump heights from males and females were averaged separately.
1.Identify the three variables in the study.
2.Describe the type of scale related to each variable (i.e. nominal, ordinal, interval, ratio)
3. Use use your own characteristics or activities to describe examples of nominal, ordinal, interval, and ratio. Of those, which are categorical/discrete or continuous, and which are qualitative vs quantitative measures.
1.
Three variables in the study:
(i) age
(ii) Jump height
(iii) Gender
2.
(i) age - Interval
because, age = 0 is not possible
(ii) Jump height - Ratio
because Jump height = 0 is possible
(iii) Gender - Nominal
because Gender can take values: Male or Female
3.
EXAMPLES OF NOMINAL, ORDINAL, INTERVAL AND RATIO
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Type of scale Example Categorical/dicrete or continous Qualitative vs quantitave
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Nominal Gender: Male/Female Categorical Qualitative
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Ordinal Feeling: Very unhappy, Categorical Qualitative
Unhappy, OK, Happy,
Very happy
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Interval Temperature Continuous Quantitative
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Ratio Number of tests you took Discrete Quantitative
in last Semester
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