统计学导论
DESCRIPTION
统计学导论. 湖南大学 金融与统计学院. 第十章 对比分析与指数分析. 第一节 对比分析法 第二节 指数的概念和种类 第三节 综合指数 第四节 平均指数 第五节 指数体系与因素分析 第六节 几种常见的经济指数 (自学). 第一节 对比分析 (简单,实用). 一、对比分析的意义 二、常用的对比分析方法 三、应用对比分析方法的原则. 一、对比分析的意义. 对比分析: 根据现象之间的客观联系,将两个有关的统计指标进行对比来反映数量上的差异或变化。 对比分析是统计分析中最简单、最常用的一种基本方法。 对比分析有两类方法: 相减的方法 - PowerPoint PPT PresentationTRANSCRIPT
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P260
-
1%1%1
-
/
-
1.P2602.P260
-
60%50%-60%40%-50%20%-40%20%
-
%19952007200820021990
Sheet1
9-5
19901995200020062007
()3566035520422205609459305
()3.503.233.132.952.91
()1.981.871.681.531.54
(%)56.5757.8953.6751.8652.92
() ()1.771.731.861.931.89
()1516.214279.026295.9112719.1914908.61
1149.703390.214480.508766.9610234.76
22.5072.62246.24809.56940.72
15.6090.43128.38244.01348.53
328.41725.761440.782898.663384.6
#1510.164282.956279.9811759.4513785.81
()1278.893537.574998.008696.559997.47
693.771771.991971.323111.923628.03
170.90479.20500.46901.781042.00
60.86283.76565.29904.19982.28
108.45263.36374.49498.48601.80
25.67110.11318.07620.54699.09
40.51183.22426.951147.121357.41
112.26331.01669.581203.031329.16
66.57114.92171.83309.49357.70
(=100)
54.2550.0939.4435.7836.29
13.3613.5510.0110.3710.42
6.988.0211.3110.409.83
10.147.447.495.736.02
2.013.116.367.146.99
1.205.188.5413.1913.58
11.129.3613.4013.8313.29
0.943.253.443.563.58
1.9-17
2.2002
Sheet2
198519901995200020052007
52.2554.2550.0939.4436.6936.29
14.5613.3613.5510.0110.0810.42
4.796.988.0211.3110.189.83
8.6010.147.447.495.626.02
2.482.013.116.367.566.99
2.141.205.188.5412.5513.58
8.1711.129.3613.4013.8213.29
7.020.943.253.443.503.58
100.00100.00100.00100.00100.00100.00
-
%1978-19851996 9-1919902008 9-25
Sheet1
9-25
%
199019952000200520062007
100.00100.00100.00100.00100.00100.00
58.8058.6249.1345.4843.0243.08
7.776.855.755.815.946.00
17.3413.9115.4714.4916.5817.80
5.295.234.524.364.474.63
1.442.585.589.5910.2110.19
5.377.8111.1811.5610.799.48
3.253.245.246.586.776.52
0.741.763.142.132.232.30
199019952000200520062007
100.00100.00100.00100.00100.00100.00
41.5941.1036.1436.1134.5934.97
11.7510.327.416.936.936.96
21.6617.2017.9816.0418.1519.52
8.207.925.795.205.225.37
2.243.927.2511.4811.9511.87
8.3611.9114.5313.8412.6311.05
5.064.946.827.877.937.60
1.132.684.082.542.602.67
Sheet2
9-25
%
197819801985199019952000200520062007
100.00100.00100.00100.00100.00100.00100.00100.00100.00
67.7161.7757.7958.8058.6249.1345.4843.0243.08
12.7012.329.727.776.855.755.815.946.00
10.3013.8518.2417.3413.9115.4714.4916.5817.80
0.000.005.125.295.234.524.364.474.63
9.2912.061.731.442.585.589.5910.2110.19
0.000.003.925.377.8111.1811.5610.799.48
0.000.002.413.253.245.246.586.776.52
0.000.001.070.741.763.142.132.232.30
199019952000200520062007
100.00100.00100.00100.00100.00100.00
41.5941.1036.1436.1134.5934.97
11.7510.327.416.936.936.96
21.6617.2017.9816.0418.1519.52
8.207.925.795.205.225.37
2.243.927.2511.4811.9511.87
8.3611.9114.5313.8412.6311.05
5.064.946.827.877.937.60
1.132.684.082.542.602.67
-
2007%20089-24
Sheet1
9-25
%
199019952000200520062007
100.00100.00100.00100.00100.00100.00
58.8058.6249.1345.4843.0243.08
7.776.855.755.815.946.00
17.3413.9115.4714.4916.5817.80
5.295.234.524.364.474.63
1.442.585.589.5910.2110.19
5.377.8111.1811.5610.799.48
3.253.245.246.586.776.52
0.741.763.142.132.232.30
199019952000200520062007
100.00100.00100.00100.00100.00100.00
41.5941.1036.1436.1134.5934.97
11.7510.327.416.936.936.96
21.6617.2017.9816.0418.1519.52
8.207.925.795.205.225.37
2.243.927.2511.4811.9511.87
8.3611.9114.5313.8412.6311.05
5.064.946.827.877.937.60
1.132.684.082.542.602.67
Sheet2
100.00100.00100.00100.00100.00
50.3747.8645.1542.6936.75
6.005.916.026.026.03
15.4315.8716.8717.5220.48
4.024.214.554.805.00
7.778.809.7010.4611.98
7.838.368.969.6410.92
6.746.906.566.496.24
1.842.102.192.392.60
1990199520002005
100.00100.00100.00100.00
41.5941.1036.1436.11
11.7510.327.416.93
21.6617.2017.9816.04
8.207.925.795.20
2.243.927.2511.48
8.3611.9114.5313.84
5.064.946.827.87
1.132.684.082.54
-
.
-
106.7410051.6348.37
-
10-1 20041365159.5%207446.3%7238711.1%433848.3%
-
10-1200415.20%, 53.02% 31.78 1: 3.49 : 2.0915.20% : 53.02% : 31.78 1: 1.76: 1.32
-
1. 2. 100%100%
-
3.
-
4.
-
5.
-
10-2 200021205%10%52
-
10-2 6%4.76%3.16
-
P2641. 2.
-
3.P2654.GDPGDP
-
P33112-6CPIPPI
-
P2952
3500
2100
1085
798
36500
24500
115200
72000
19600
18000
8450
5900
-
1
/
3500
2100
1.67
1085
798
1.36
36500
24500
1.49
115200
72000
1.60
19600
18000
1.09
8450
5900
1.43
-
2 78
-
31%
=1085/3500
38%
=798/2100
7
17%
=19600/115200
25%
=18000/72000
8
-
3 1.240.01
-
/
10.43
=36500/3500
11.67
=24500/2100
1.24
/
0.23
=8450/36500
0.24
=5900/24500
0.01
-
Index2004130.1%113.3%
-
1.P267
-
2.3.
-
1.
-
2.
-
3.
-
CPI
-
P270
-
1.
-
2.
-
1.
-
q p (qp)=(q)(p)(qp)=(q)(p)(qp)=(q)(p) q p p q
-
2.P272
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3.
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I qp 0 1 m IqIp :m = 0,1,
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E.Laspeyres1864 Iq Ip
-
10-3 10-1
(q0q1p0p12000215030334205308070800890180188
q0 p0q1p1q1p0q0p16000070950645006600033600371004240029400144000167320160200150400237600275370267100245800
-
10-3112.4212.42
-
10-323.453.45
-
H.Paasche1874 Iq Ip
-
10-4 10-1
(q0q1p0p12000215030334205308070800890180188
q0 p0q1p1q1p0q0p16000070950645006600033600371004240029400144000167320160200150400237600275370267100245800
-
10-41 12.0312.03%
-
10-4( )3.1 3.12
-
1.
-
(2.
-
(
-
3. 4.
-
1.
-
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-
10-510-1
%112.4158112.0301112.2197112.2228%103.4512103.0962103.2633103.2735
-
A.YaungpnP287-288
-
P2951
400
500
500
450
1000
1100
800
960
-
12
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12
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:
-
1.
-
2. (q0p0)(q1p1)w
-
q1/q0p1/p0(q0 p0)ww0w0=1,
-
10-6 10-1
-
10-6 1q1/q0107.5%126.19%111.25%
-
10-6 2p1/p0110%87.5%104.44%
-
10-6 10-310-6
-
w w=1100%
-
q1/q0 p1/p0(q1 p1)
-
10-7 10-1
-
10-7 1q1/q0107.5%126.19%111.25%2p1/p0110%87.5%104.44%
-
10-710-410-7
-
: : WPI
-
2004-2005 P2953
%
2004
2005
A
160
185
10
B
120
110
-5
C
20
22
2
-
===P281
-
3%8% 108%103%=104.85%.= =
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P273-27510-310-4
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P282
-
10-8 10-1
-
10-8(2): = 275370 -237600 =37770() (1) : :
-
10-8 (3):
-
10-8(4) 37770()= 29500()+ 8270()115.9=112.42103.1 15.93777012.4212.42295003.13.18270
-
P2831.,
-
2. =3.
-
W=abcd
-
10-9 10-3
(q0q1p0p1r0r1
200021503033101142053080701513800890180188810
-
10-9(2) (q)(p) (r)(1) = 2935950-2256000 = 679950()= 2562600-2256000 = 306600()
-
10-9(3)= 2604560 2562600 = 41960() (4)= 2935950-2604560 = 331390()
-
10-9(5)130.14%=113.59%101.64%112.72%679950() =306600+41960+331390() 30.14%67995013.59%3066001.64%4196012.72%331390
-
x f /f
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x f/f f/f x P285
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1.
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2.[P285] x
-
3. f/f
-
f /f x
-
10-10 10-4
/ x0 x1 f0 f160665506005062250400
-
10-10
-
10-10(1):(2):= 64.4-56.875=7.525/
-
10-10:= 64.4 - 56=8.4/(3)::= 56 - 56.875 = -0.875/
-
10-10(4)113.23% = 115%98.46%7.525 = 8.4 +(- 0.875)/ ,13.23%,7.525/,15%8.4/1.54%0.875/
-
P2967P2968P2969
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195219571965197019801990
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1995
-
() q1 /q0 q0 p0
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-
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Consumer Price IndexCPI .1.
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2. 3.
-
25160022614680
-
(Gt) =
(Kt) = n
-
K,Wt-1 (It ,)
-
10-1110-5P291
-
10-11
1000[102.01]101.5[103.54]487104.698.6103.14 1. 70[103.48]95.5[98.82] 1103.594.097.29 2[103.35]95.3[98.49]102.5104.2 3105.096.4101.22 4102.795.798.28 2. 11102.198.5100.57 16. 135101.9100.5102.4154101.498.7100.088798.396.594.865897.598.495.9445102.799.6102.296595.195.891.118999.5107.7107.16115102.0114.9117.20
-
10-11110.4210.44 23
-
100 1000
-
()Standard & PoorsS&P5005001941-1943
-
()Dow Jones Average
-
() 33701964731100
-
()199012191001801803019961000
-
()=100100100100A20021231=1000