Identify the examples below as representing the nominal, ordinal, interval, or r
ID: 3331957 • Letter: I
Question
Identify the examples below as representing the nominal, ordinal, interval, or ratio scale of measurement.
1. The time you went to bed last night. ________________
2. The number of questions that you missed on your statistics quiz. ____________
3. Marital status (single, married, divorced, widowed) ________________
4. Dave Letterman’s Top Ten list. _____________
5. The distance a quarterback can throw a football. ____________
6. The amount of time it takes to solve a crossword puzzle. ______________
For the next few problems, indicate whether the variable being measured is discrete or continuous.
7. The number of children in a family. ____________________
8. The amount of time it takes to solve a math problem. ______________
9. Weight gain during a 6-month period. _____________
10. The number of errors on a test. ______________
Identify the dependent and independent variables for each of the following examples.
11. A study done on college students reports that test scores are slightly higher in the afternoon than they are in the morning.
independent variable: _______________ dependent variable: ________________________
12. An experiment is designed to determine the effects of a training program on productivity. Workers are randomly assigned to one of two conditions: training program or no training program. Productivity is measured in terms of the number of projects completed per month.
independent variable: _______________ dependent variable: ________________________
13. Dr. Smith wants to study the effects of music on stress levels. So, he assigns one group to listen to classical music, and the other to listen to punk rock, and then after, measures their stress levels on a standard scale.
independent variable: _______________ dependent variable: ________________________
Part II: Summation Notation calculation practice
(For credit, SHOW YOUR WORK!!)
For each of the problems below, please use the following data set:
X Y
2 1
5 7
6 3
3 4
1 5
8 2
14.
15.
16.
17.
18.
19.
Explanation / Answer
1. The time is measured in interval scale, as apart from classifying time into categories (morning, noon, evening, night), ordering can (early morning: 4-6, late morning: 6-8 likewise) be done on it. Moreover, difference between attributes hold same meaning across the scale in which it has been measured, that is 10-12 is same as 2-4.Ans>interval scale of measurement.
2. Number of questions missed can be classified (easy, medium, difficult), ordered (0-2, 2-4 likewise) and finally has an absolute zero value (no questions missed), and difference between attributes has same meaning. Thus, measurement level is ratio.
3. Marital status can b eclassified into categories and apart from counting numbers in each categories, no other mathematical operations can be performed on them. Level of measurement is nominal.
4. Top ten list can be classified into categories and ordered. Moreover, top ten list has got intervals with meaning. Thus, level of measurement is interval.
5. Distance can be classified into categories, ordered, and attributes hold same meaning (1-2 feet is same as 3-4 feet). Thus, level of measurement is interval.
6. Amount of time is measured in interval level of measurement, as apart from classification, ordering, the attributes holding same meaning.
7. Discrete as it takes specific value.
8. Continuous as it can take any value within a range.
9. Continuos as it can take any value within a range.
10. Discrete as it takes specific value.
11 Dependent variable is the response or outcome which is measured thus test scores are dependent variable, and independent variables are those which affects the dependent variable. Thus, independent variables are time of a day.