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4-1
SLIDES PREPARED
By
K.BARANIDHARAN.M.com.,M.B.A.,M.Phil.,Ph.D.
IDHAYA COLLEGE FOR WOMEN
BHARATHIDASAN UNIVERSITY
TAMILN...
baranibarani50@yahoo.com
dharanbarani21@gmail.com
1/29/2015 2K. BARANIDHARAN
Index number
Types : Price, Wholesale
Price, Retail Price, Quantity,
Quality, Cost of Living,
Special purpose.
Meaning & Definition
• The statistical device which measures
related variables and provides
representative figures a s reg...
Index numbers
Fixed or chain based
Composite
Weighted Unweighted
Laspeyeres Paasche Relative Aggregative
Simple
1/29/2015 ...
1)Calculate the Fisher’s ideal index satisfies
both the time reversal and factor reversal test
commodities 1990 1998
price...
Com.di p0 q0 p1 q1 p1q0 p0q0 p1q1 p0q1
A 10 12 12 12 144 120 144 120
B 5 8 6 9 48 40 54 45
C 20 3 25 4 75 60 100 80
D 8 10...
Time Reversal Test
= 1.
Hence Time Reversal Test is Satisfied
1/29/2015 8K. BARANIDHARAN
Factor Reversal Test
•
• P01 x q01
=
Hence Factor Reversal Test is satisfied
1/29/2015 9K. BARANIDHARAN
THANK YOU
1/29/2015 K. BARANIDHARAN 10
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Stat .1

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index number problems and solution

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Stat .1

  1. 1. 4-1 SLIDES PREPARED By K.BARANIDHARAN.M.com.,M.B.A.,M.Phil.,Ph.D. IDHAYA COLLEGE FOR WOMEN BHARATHIDASAN UNIVERSITY TAMILN AUD STATISTICS for B.com., (INDEX’01) 1/29/2015K. BARANIDHARAN
  2. 2. baranibarani50@yahoo.com dharanbarani21@gmail.com 1/29/2015 2K. BARANIDHARAN
  3. 3. Index number Types : Price, Wholesale Price, Retail Price, Quantity, Quality, Cost of Living, Special purpose.
  4. 4. Meaning & Definition • The statistical device which measures related variables and provides representative figures a s regards to combined changes in the variables is called Index Number • “index numbers are a series of numbers by which changes in the magnitudes of a pheneomenon are measured from time, or from place to place” –Secrist
  5. 5. Index numbers Fixed or chain based Composite Weighted Unweighted Laspeyeres Paasche Relative Aggregative Simple 1/29/2015 5K. BARANIDHARAN
  6. 6. 1)Calculate the Fisher’s ideal index satisfies both the time reversal and factor reversal test commodities 1990 1998 price expenditure price expenditure A 10 12 12 144 B 5 40 6 54 C 20 60 25 100 D 8 80 8 72
  7. 7. Com.di p0 q0 p1 q1 p1q0 p0q0 p1q1 p0q1 A 10 12 12 12 144 120 144 120 B 5 8 6 9 48 40 54 45 C 20 3 25 4 75 60 100 80 D 8 10 8 9 80 80 72 72 p1q0 =347 p0q0 =300 p1q1 =370 p0q1 =317 1/29/2015 7K. BARANIDHARAN
  8. 8. Time Reversal Test = 1. Hence Time Reversal Test is Satisfied 1/29/2015 8K. BARANIDHARAN
  9. 9. Factor Reversal Test • • P01 x q01 = Hence Factor Reversal Test is satisfied 1/29/2015 9K. BARANIDHARAN
  10. 10. THANK YOU 1/29/2015 K. BARANIDHARAN 10

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