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Chapter5Statisticalindexnumber.pptx
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Chapter5Statisticalindexnumber.pptx
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Statistics in Practice
STAT
Statistics in Practice
Couple of years ago, a film called Don’t bother me after
divorced became quite famous, both with the topic and acting. In Jan.
2003, there was a news on the social news page of a newspaper,
which titled Still get to you after divorced. The news was about the
rising fee of a single-parent children in a divorce family.
In the news, Mr. Fu and Ms. Zhang divorced in Nov. 1986. After
the divorce, the child was to live with the mother. The father was
judged to pay a alimony of 17 Yuan every month. But afterwards,
because of the inflation, the life of the plaintiff gets harder. Hence
through 4 suits in 1990, 1994, 1995 and 1996, the alimony was risen
to 30, 50, 70 and 90 Yuan.
From a statistical point of view, what method did the judge used
when redetermining the alimony?
Statistics in Practice
STAT
Today, not only alimony for divorced couples, but also pension for
the retired; the determination of corruption; the standard of social
security subsidy; the starting point of personal income tax and the
payment of debts are using the methods of indexation.
Through the learning of this chapter, we can understand the
meaning and the calculation of statistical indices, and the way of
explaining the quantities changes in economic problems with the
method of index analysis.
0
20
40
60
80
100
120
140
RPI (%)
CPI (%)
Chapter 5 Statistical index
STAT
Key points
1. The concepts and types of index numbers ( P723 ) ;
2. The compiling of index numbers;
3. The index systems and factor analysis;
4. Some index numbers in practice 。
Difficulties
1. The principles in the making qualitative index (质量指标指
数) and quantitative index (数量指标指数) ;
2. The difference between aggregative index number (总指数) ,
mean index (平均数指数) and index numbers of average
indicator (平均指标指数) .
Chapter 5 Statistical index
STAT
Section 1 The concepts and types of index
1. The concepts of index numbers ( P723 )
1) The origin of index number: A statistical analysis method first
developed by an Englishman named Rice Voughan in 1650.
[Example] 1709 1710
Bread price : 1 penny/piece 1.2 1.2/1=120%
2) Index number in broad sense (广义指数) : The relative numbers
that shows the numeric changes of phenomenon.
(1) Initially “Dynamic change”;
(2) Afterwards “Space change” ;
A B
Population (2005) 100 80 100/80=125%
Chapter 5 Statistical index
STAT
3) Index number in narrow sense: The relative numbers that shows
the numeric changes of the population of complex phenomenon.
Sales of a store : Q
0
(2003)
Q
1
(2004)
TV (set) 12000 15000 1.5/1.2=125%
Slipper (pair) 50000 40000 4/5=80%
Robust (bottle) 200000 300000 30/20=150%
(1) Quantity Indicator (sales)
(2) Changes: Base period Report period;
(3) Relative number Development speed: To reflect the direction
and degree of the numeric changes of phenomenon.
0
1
Population
q
q
0
1
Element
q
q
%11.135
2052.1
3045.1
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