Question

In: Statistics and Probability

A group of students agreed to participate in a study. Students were first asked to state...

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.

Solutions

Expert Solution

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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