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Indicate the scale of measurement used in the studies described below and justif

ID: 3203753 • Letter: I

Question

Indicate the scale of measurement used in the studies described below and justify your choice. Part 1. A public opinion poll was conducted of a random sample of registered voters one week before an election. The respondents were asked whether they intended to vote for 1. the Democratic candidate, 2. the Republican candidate, 3. one of the other candidates or 4. none of the candidates..... Part 2. A military trining officer ranked each of 20 cadets on leadership, with the rank of 1 indicating the greatest leadership.... Part 3. A college teacher gave an essay exam and then graded the papers by using five letter grades A, B, C, D, F that representated equally spaced categories of competence. .... Part 4. Mr. Bates rated the 30 children in his pre school class on readiness for kindergarten by rating hem on a five point scale, 1 for least ready and 5 for most ready....... Part 5. Students were asked whether they (1) favored an increase in the student activities fee to be eligible to attend more events. (2) favored no increase in fee to attend the current number of events, or (3) had no opinion.

Explanation / Answer

Part 1. A public opinion poll was conducted of a random sample of registered voters one week before an election. The respondents were asked whether they intended to vote for 1. the Democratic candidate, 2. the Republican candidate, 3. one of the other candidates or 4. none of the candidates.....

Ans : Nominal Scale of measurement;

The nominal scale of measurement only satisfies the identity property of measurement. Values assigned to variables represent a descriptive category, but have no inherent numerical value with respect to magnitude.

Here measurement is the candidate's party description and hence no inherent numerical value with respect to the magnitude as no value can be attached can be attached to the candidate's party.

Part 2. A military trining officer ranked each of 20 cadets on leadership, with the rank of 1 indicating the greatest leadership....

Ans : Ordinal Scale of measurement;

The ordinal scale has the property of both identity and magnitude. Each value on the ordinal scale has a unique meaning, and it has an ordered relationship to every other value on the scale.

Here Ranks measurement has unique meanining and it's ordered relation ship as rank of 1 has the greatest leadership qualtiy

Part 3. A college teacher gave an essay exam and then graded the papers by using five letter grades A, B, C, D, F that representated equally spaced categories of competence. ....

Ans : Interval Scale of Measurement

The interval scale of measurement has the properties of identity, magnitude, and equal intervals.

In this case the scale is made up of equal intervals, the difference between A and B is same as difference between B and C.

Part 4. Mr. Bates rated the 30 children in his pre school class on readiness for kindergarten by rating hem on a five point scale, 1 for least ready and 5 for most ready.......

Ans : Ordinal Scale of measurement;

The ordinal scale has the property of both identity and magnitude. Each value on the ordinal scale has a unique meaning, and it has an ordered relationship to every other value on the scale.

Here we can order the ratings as readiness of 2 rated child is better than readiness of 1 rated child but the whether the scale is equally spaced or not is not known.

Part 5. Students were asked whether they (1) favored an increase in the student activities fee to be eligible to attend more events. (2) favored no increase in fee to attend the current number of events, or (3) had no opinion.

Ans : Nominal Scale of measurement;

The nominal scale of measurement only satisfies the identity property of measurement. Values assigned to variables represent a descriptive category, but have no inherent numerical value with respect to magnitude.

In this case we can't really order the measurements - favored; not favored; no opinion in any order;