Question

1. If a study was done that asked college students exactly how many A’s they have obtained (e.g., 0, 1, 2, etc.), the researcher is using:
   1. A nominal measure
   2. An ordinal measure
   3. An interval measure
   4. A ratio measure
2. Provide an example of each of these two scales (ordinal and interval/ratio) that represent students’ performance in a statistics course.

3. You found that a zero is included in a scale of a measurement. Which of the following is correct about the measurement scale?
   1. The measurement is ratio
   2. The measurement is at least interval
   3. The measurement is at least NOT nominal
   4. The measurement is at least ordinal
   5. Nothing whatsoever about the level of measurement

4. Are the following statements True?

5. For a ratio scale it is better to use a bar graph.
   1. True/False

6. All the interval scale is ratio scale.    
   1. True/False

7. All the ratio scale is interval scale      
   1. True/False

8. If the measurement is in ratio scale, it has all the properties of ordinal scale True/False

9. Explain what an independent variable is.

10. Explain what a dependent variable is.

11. Provide an example description of an experimental study by specifying:

12. A research question; b) An independent variable; c) A Dependent variable

Answer 1

1.

Answer: d. A ratio measure

Reason:

Ratio scales are the ultimate nirvana when it comes to data measurement scales because they tell us about the order, they tell us the exact value between units. Also, they have an absolute zero-which allows for a wide range of both descriptive and inferential statistics to be applied

2.

Answer:

Ordinal Scales

With ordinal scales, the order of the values is what's important and significant, but the differences between each one is not really known.

Example: How is the performance of students in Statistics Course?

= "Excellent"

Ratio Scales

Ratio Scales are the ultimate nirvana when it comes to data measurement scales because they tell us about the order , they tell us the exact value between units, AND they also have an absolute zero-which allows for a wide range of both descriptive and inferential statistics to be applied.

Example: What is the highest mark obtained in Statistics ?

= 92

3.

Answer: a. The measurement is ratio

Reason:

Ratio Scales are the ultimate nirvana when it comes to data measurement scales because they tell us about the order , they tell us the exact value between units, AND they also have an absolute zero-which allows for a wide range of both descriptive and inferential statistics to be applied.

4.

Answer:

a. False

Reason:

Charts and graphs are a way of organizing data so it can be read and interpreted more easily. In order to choose which type of chart or graph to use you must first decide the level of measurement, i.e. whether the variable is nominal/ordinal or interval/ratio scale.

For nominal/ordinal variables, using pie charts and bar charts

For interval/ratio variables, using histograms

b. True

Reason:

Ratio Scales are the ultimate nirvana when it comes to data measurement scales because they tell us about the order , they tell us the exact value between units, AND they also have an absolute zero-which allows for a wide range of both descriptive and inferential statistics to be applied.

Therefore, everything about interval data applies to ratio scales, plus ratio scales have a clear definition of zero.

c. False

Reason:

All the interval scale is ratio scale but all ratio scale is not interval scale.