In: Statistics and Probability
Determine the appropriate level of measurement for each variable:
a. Attendance at a game.
b. Number of goals scored by the two teams, together, during a game.
c. Primary color of a team’s jersey (or shirt) during a game.
d. Pre-World Cup ranking of each team.
e. Home state of each player on the U.S. team.
f. Temperature, degrees Celsius, at the kick-off (meaning, start) of a game.
g. Whether (or not) a player attended a college or university.
h. Each player’s number of caps (meaning, international appearances).
i. Each player’s birth year.
(a)
Attendance at a game. - Ratio measurement
because number of persons attending can take any value including 0
(b)
Number of goals scored by the two teams, together, during a game. - Ratio measurement
because number of goals can take any value including 0
(c)
Primary color of a team’s jersey (or shirt) during a game - Nominal measurement
because color is only a label to identify a team
(d)
Pre-World Cup ranking of each team. - Ordinal measurement
because ranking and ordering of data is involved.
(e)
Home state of each player on the U.S. team - Nominal measurement
because home state is only a label to identify a player
(f)
Temperature, degrees Celsius, at the kick-off (meaning, start) of a game. Interval measurement,
because the zero points are arbitrary.
(g)
Whether (or not) a player attended a college or university. - Nominal measurement
because attending or not attending a college or university cannot be expressed numerically and cannot be ranked also.
(h)
Each player’s number of caps (meaning, international appearances). - Ratio measurement
because number of caps can take any value including 0
(i)
Each player’s birth year.:Interval measurement,
because the zero points are arbitrary.