Question

like nominal ordinal interval and ratio

BMGT 230, Exercise Set 1, Due 7 February 2020 1. As you likely know, the United States won the 2019 FIFA World Cup (also known as soccer, in the U.S.). Determine the appropriate level of measurement for each variable from the World Cup below: 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. Pre-World Cup ranking of each team. e. Home state of each player on the U.S. team. X. 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. hou student sex by

Answer 1

There are 4 levels of measurement and they are Nominal, Ordinal, Interval and Ratio. The nominal scale is used to represent names and the Ordinal scale is used when the data has a particular ordering. The interval and ratio scales are mostly used for numerical data. In an interval scale the difference between the observations is meaningful and a ratio scale apart from having intervals between the observations also have a meaningful zero. The attendance at a game will be marked as either present or absent. So, it is represented as names and hence the level of measurement for attendance at a game will be nominal The number of goals scored by the two teams together in a game will assume numerical values. Also, zero score is meaningful and not arbitrary. So, the level of measurement for the number of goals scored by two teams will be ratio. The primary colour of the shirt of a team will be qualitative data like red, blue, green etc. The data contains names and hence the level of measurement for the shirt colour of a team will be nominal. d. The rankings of teams will be arranged in an order like first second third and so on. The rankings will follow a particular order, either from first to last or vice-versa. So, the level of measurement for the rakings of a team will be ordinal. The data for the home state of each player in the U.S. team will consist of names of the home city of the player. So, the level of measurement for the home state of each player on the U.S. team will be Nominal. The temperature in degrees Celsius, at the start of the game will be represented quantitatively. The zero points in the data are arbitrary and the data is quantitative. So, the level of measurement of the corresponding data is interval.

Whether of not a player attended a college or university be answered in a 'yes' or a 'no' The data is categorical and does not follow any natural ordering. So, the level of measurement for this type of data will be nominal. h. The data for the number of international appearances for each player will be numerical data but will not follow any natural ordering. The level of measurement for this data will be interval The birth year of each player will be a number. The arithmetic operations can be performed on birth year of two player to compute the age difference. Therefore, the level of measurement of the year of birth will be interval