AQ1.4: Question no. 3

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MANMAY SINGH

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Oct 15, 2020, 10:24:51 AM10/15/20
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here in this question I just want to clarify my doubts on this thing:

If we make the intervals more accurate like 15-30, 30-45,45-60 and 60-75 then, will it become an Interval type of measurement scale ? or can we also include it to interval or ratio scale as 30 mins of gaming is twice as 15 mins of gaming ?

Please elaborate with examples.

CG

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Oct 15, 2020, 3:23:16 PM10/15/20
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Even if you provide equal-sized ranges (15-30, 30-45,45-60 etc ..) to choose from, it will still be ordinal.

Why?
A = 15-30
B = 30-45
C = 45-60

Suppose Student 1 choses A because he/she spends 20 minutes playing video games; Student 2 choses B since he/she spends 32 minutes playing video games and Student 3 choses C because he spends 50 minutes on a video game. Is the distance between A and B equal to the distance between B and C or A and C? No.

Hence usually when a variable can take on a range of values, it would be incorrect to say that the distance between them is the same. Distances between values must be the same on an ordinal scale.

CG

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Oct 15, 2020, 3:36:05 PM10/15/20
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Last sentence should have been "Distances between values must be the same on an interval scale."

MANMAY SINGH

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Oct 16, 2020, 1:03:11 AM10/16/20
to Discussion forum for Statistics for Data Science I, CG
Thank you it helped me a lot :) .
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