Page 196 - DMGT209_QUANTITATIVE_TECHNIQUES_II

Unit 9: Attitude Measurement and Scaling Techniques

Notes
2
2
2
N   N   N d  N d 2 2
2
1
1
2
1
1
1
 2 =
N  N
1 2
2
Where = (x - x ) d = (x - x ) 2
2
1 2 2
N x  N x 2
1
1
2
and x =
N  N
1 2
2
Sample variance ( ) : Let x , x , x ,……… x , represent a sample with mean x.
1 2 3 n
2
Then sample variance  is given by:
 (x x) 2

 2 =
n 1

 x 2 n(x) 2
= -


n 1 n 1
 (x x) 2  x 2 n(x) 2

Note:  =   is called the sample standard deviation.


n 1 n 1 n 1

Task You have collected data on employees of a large organisation in a metro. You
analyse the data by the type of work, education level, whether the employee belongs to an
urban or rural area. The results are as below. How would you interpret them?
Annual Employee Turnover*
Higher Education Lower Education
Salaried monthly Daily wage Salaried monthly Daily wage
Rural 6 14 18 18
Urban 10 12 19 20

*Turnover per 1,000 employees


Caselet

YZ company is into pharmaceuticals to produce a medicine ‘A’, which is a pain reliever.
XA survey was conducted with doctors as sample and the following questions were
asked.
“Would you recommend product ‘A’ to your patients when they suffer from pain”?
Yes ______ No _______

An analysis of the above showed that 75% of doctors surveyed said ‘Yes’, the rest said ‘No’.
From this survey, XYZ company made the following inference. “Three out of four doctors
have recommended product ‘A’ for their patients, who suffer from pain”.
Contd...

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