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Q 6 Identify the type of primary scale of measurement being used in each of the...

Q 6 Identify the type of primary scale of measurement being used in each of the following cases. Please give a rationale (in one sentence) for each case.
(a) I like to solve crossword puzzles
Disagree Agree
1 2 3 4 5
(b) How old are you?
(c) Please rank the following activities in terms of your preference by assigning ranks 1 (most preferred) to 5 (least preferred).
i. Reading magazines
ii. Watching television
iii. Dating
iv. Shopping
v. Eating out
(d) What is your Aadhar no.?
(e) On an average weekday, how much time do you spend doing your homework?
i. Less than 15 min
ii. 15 to 30 min
iii. 31 to 60 min
iv. 61 to 120 min
v. More than 120 min
(f) How much money did you spend last month on entertainment?
(g) The Richter scale measures the size of an earthquake. The scale is based on the amplitude in the
read out of a seismograph.
Richter Amplitude
1 10
2 100
3 1000

7. A manufacturer would like to survey users to determine the demand potential for a new power press.
The new press has a capacity of 500 tons and costs $225,000. It is used for forming products from
lightweight and heavyweight steel and can be used by automobile, construction equipment, and
major appliance manufacturers.
(a) Identify the population and sampling frame that could be used.
(b) Describe how a simple random sample can be drawn using the identified sampling frame.

(c) Could a stratified sample be used? If so, how?
(d) Could a cluster sample be used? If so, how?
(e) Which sampling technique would you recommend? Why?

8. What do you mean by Reliability and Validity of scale? Explain with the help of true score model.
Also, explain the relationship between Reliability and Validity of scales in terms of errors in the true
score model?
(5+10+5 marks)

Homework Answers

Answer #1

(a) I like to solve crossword puzzles
Disagree Agree
1 2 3 4 5
Ans: Ordinal Scale
Eg: Likert Scale

Ordinal scales are typically measures of non-numeric concepts like satisfaction, happiness, discomfort, etc.

“Ordinal” is easy to remember because is sounds like “order” and that’s the key to remember with “ordinal scales”–it is the order that matters, but that’s all you really get from these.


b). How old are you?
Ratio Scale

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. At the risk of repeating myself, everything above about interval data applies to ratio scales, plus ratio scales have a clear definition of zero. Good examples of ratio variables include height, weight, and duration.Data related to age, income, costs, sales, and market shares would be best gathered using a ratio scale where any type of statistical analysis can be performed.

c). Please rank the following activities in terms of your preference by assigning ranks 1 (most preferred) to 5 (least preferred).
i. Reading magazines
ii. Watching television
iii. Dating
iv. Shopping
v. Eating out

Interval Scale
Also rank Order Scale




d).What is your Aadhar no.?
Nominal Scale
Giving number to a person doesn't mean anything

A nominal scale, like the description characteristic, is the most basic. The numbers (or letters or symbols) in a nominal scale only serve to identify objects, like gender classification. It does not matter if females are assigned a 1 or a 2 (or any other number, letter, or symbol), and order is not a factor.Having one Aadhar number twice the other doesn't mean anything they are just numbers

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