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1、东华理工大学抚州校区课程论文目:中国国防预算的影响因素分析系 部:经济管理系专 业:国际经济与贸易班 级:10207502学 生:姜凌学 号:1020750280中国国防预算的影响因素分析国无防则无家,一个国家的发达程度与其的国防力量不可不无关 系,每年每个国家在国防支出这块都需要做出认真的预算。但是一 个国家的国防预算是怎么做出的,下面我们就来研究一下。首先我们先假设影响中国国防预算(CXDB)的几个因素:1、日木的国防预算(JXDB)2、美国的国防预算(AXDB)3、中国的 GDP (CGDP)4、中国的财政收入(FINANCIAL)1. 建立一个理论假说中国国防收入与日本国防收入、美国国

2、防收入、中国GDP和中国 财政收入呈正相关关系2. 收集数据中国国防预算数据(单位:亿美元)中国GDP中国财政收入日本国防预算美国国防预算198966. 79284. 1303. 560. 00452664.9199060. 69287. 25299. 330. 00392937. 1199162. 05325. 58273. 290. 00413149.48199268. 52359. 38298. 350. 00493483. 37199373.9417.31291.090. 00614348. 95199463.9458.21281. 640. 00565218. 1199576. 24

3、502.17272. 060.00736242. 2199686.61445. 42255. 750. 00867407. 99199798. 02408.9270. 510. 00958651. 141998112.9377. 33268. 210.01029875. 951999130. 03432.98274. 790.010811444.082000145. 87457. 99294.390.01213395. 232001174.22407. 72304.760.013216386. 042002206. 33395. 23348. 480.014518903. 642003230.

4、5427.2404. 780.016421725.252004265.8453. 14455. 850.019326396. 472005302. 13440. 58495. 330. 022631649.292006373. 74413.9521. 840. 027138760. 22007467. 51407. 74551. 290.03551321. 782008590. 55462.2616. 10. 045261330. 352009692. 24509.94690. 310. 049968518.33. 建立数学模型CXDB二 B1JXDB+ B2AXDB+ B3CGDP+ B4F

5、INANCIAL+C4. 简历经济计量模型CNDB= B1JXDB+ B2AXDB+ B3CGDP+ BdFINANCIAL+C+u5. 估计经济计量模型参数Dependent Variable: CNDBMethod: Least SquaresDate: 11/16/12 Time: 10:34Sample: 1989 2009Included observations: 21VariableCoefficientStd Error t-Statistic ProbJNDB-0.0644020. 046864-1. 3742430. 1883ANDB0.2144350.0820132. 6

6、146400. 0188CGDP10077. 452626. 6783. 8365760. 0015FINANCIAL0.0011980. 0020080. 5968610. 5590C-27. 9937531.67151-0. 8838780. 3899Mean dependentR-squared0. 997561 varS D dependent207.0733Adjusted R-squared0. 996951 var183. 5485Akaike infoS E of regression10.13435 criterion7. 673994Sum squared resid164

7、3. 280Schwarz criterion7. 922690Log likelihood-75. 57694F-statistic1636. 137Prob(FstatisticDurbin-Watson stat1. 169171 )0. 000000CNDB二-0. 0644JXDB+0. 2144ANDB+10077. 45CGDP+0. 0012FINANCIAL-27. 9938Bl=-O. 0644 B2=0. 2144 B3=10077. 45 B4=0. 0012根据回归结果表明,中国的国防预算每提高一个单位,日本的国防 预算就下降0. 0644个单位,t值约为-1. 37

8、42,美国的国防预算上升0.2144个单位,t值约为2.6146, GDP上升10077. 45个单位,t值 约为3. 8366,财政收入上升0. 0012个单位,t值约为0. 5969。截距 项的系数C也是高度显著的,而且他们所对应的p值都是小于0. 5 的,拒绝原假设,中国的国防预算与这几个因素是有关系的。R2 约为0. 9976,表明这些因素解释了中国国防预算99. 76%的变异,R 2的值相当高。检验1.异方差检验e2lne2-0. 555710. 308817-1. 175010. 1744810. 030444-3. 491887. 31690253. 537053. 980374

9、2.1278534.5277571.510227-0. 334780. 11208-2.18855-1.677192.8129511. 034234-2. 810727. 9001682.066884-7. 0958750.351373. 919026-11. 7624138.35394. 929815-6. 9443948.224543. 8758684.43289119.650522. 9781043. 24946310. 559012. 3569810.46116109. 43584. 69533816. 2739264. 83975. 5791257. 90156162. 434664

10、.134121-0. 901640. 812955-0. 20708-13. 397179.47925.190059-3. 060139.3644222.236918-10. 6676113. 79754.734421-12. 802163. 89225. 09920920. 07124402. 85485. 998576重新设计模型为ln2二 BllnJNDB+u二 B21nANDB+u2二 B31nCGDP+uln2二 B41nFINAXCIAL+u 进行回归ln2二 BllnJNDB+uDependent Variable: LNE2Method: Least SquaresDate:

11、12/07/12 Time: 21:19Sample: 1989 2009Included observations: 21LNE2=C(1 )+C(2)* LO G(LN JND B)CoefficientStd. Errort-StatisticProb.c(1)-44.5076820.66851-2.1534050.0443C(2)7.8560893.4365102.2860660.0339R-squared0.215722Mean dependent var2.726513Adjusted R-squared0.174444S.D. dependent var2.659638S.巳 o

12、f regression2.416560Aka ike info criterion4.692952Sum squared resid110.9646Schwarz criterion4.792430Log likelihood-47.27599Durbin-Watson stat1.697343lne2= B21nANDB+uDependent Variable: LNE2Method: Least SquaresDate: 12/07/12 Time: 21:22Sample: 1989 2009Included observations: 21LNE2=C(1)+C(2rLOG(LNAN

13、DB)CoefficientStd. Error t-StatisticProb.C(1)-147299410.66277-1.3814370.1832c2.9775271.8162501.6393820.1176R-squared0.123922Mean dependent var2.726613Adjusted R-squared0.077813S.D. dependont var2.659638S E. of regression2.554066Aka ike info criterion4.803643Sum squared resid123.9418Schwarz criterion

14、4.903121Log likelihood-48.43825Durbin-Watson stat1.439324ln2二 B31nCGDP+uDependent Variable: LNE2Method: Least SquaresDate: 12/07/12 Time: 21:26Sample: 1989 2009Included observations: 21LNE2=C(1)+C(2)rLOG(LNCGDP)Coefficie ntStd. Error t-StatisticProb.c(1)12.070512.8053114.3027360.0004%)2.1012810.6219

15、183.3787110.0032R-squared0.375322Mean dependent var2.726513Adjusted R-squared0.342445S.D. dependent var2.659638S E. of regression2.156695Aka ike info criterion4.465424Sum squared resid88.37533Schwarz criterion4.564902Log likelihood-44.88696Durbin-Watson stat1.953608ln2二 B41nFINAXCIAL+uDependent Vari

16、able: LNE2Method: Least SquaresDate: 12/7/12 Time: 21:28Sample: 1989 2009Included observations: 21LN E2=C(1 + C(2fLO G(LNFINANCIAL)CoefficientStd. Errort-StatisticProb.c(1)-12.330314.345815-2.8372830.0105C1.6015230.4595893.4846860.0025R-squared0.389912Mean dependent var2.726513Adjusted R-squared0.35

17、7802S.D. dependent var2.669638S.E. of regression2.131361Akaike info criterion4.441792Sum squared resid86.31132Schwarz criterion4.641270Log likelihood-44.63881Durbin-Watson stat1.969447这几个变量的系数都很显著,因此帕克检验表明,回归模型存在异方差。2.自相关检验显著水平设定0. 05Correlogram of CNDBDate: 12/07/12 Time: 21:49Sample: 1989 2009Incl

18、uded observations: 21AC PAC Q-Stat ProbAutocorrelation Partial CorrelationSI10.5010.5016.0533O.OU20.2860.0478.13380.01730.2100.0669.31510.02540.1720.04710.1560.03850.1490.03910.8300.05560.1270.02411.3610.07870.1040.01311.7260 11080.0790.00011.9560.16390.050-0.01412.0540.210100.016-0.02812.0660.28111

19、0.000 -0.01412.0660.359120.000-0.00012.0660.440由得到的数据表明概率大于显著水平,不存在自相关。3.共线性检测Viwwprou|Object| Print|NaonlSample |Sheet| Stats| Spec|Pairv/ise Correlation MatrixCNDBJNDBANDBCGDPFINANCIALCNDB1.0000000.4690910.9724500.9970360.997437JNDB04690911.0000000.3939060.5022740.482311ANDB0.9724500.3939061.00000

20、00.9596900.970197CGDP0.9970360.5022740.9595901.0000000.997266FINANCIAL0.9974370.4823110.9701970.9972661.000000Itrr发现CNDB与ANDB, CGDP, FINANCIAL的相关系数都在0. 9以上,所以认为存在共线性。所以分别做 CNDB 与 JNDF, ANDB, CGDP, FINANCIAL 的回归CNDB 与 JXDFDependent Variable: CNDBMethod: Least SquaresDate: 12/10/12 Time: 20:USample: 1

21、989 2009Included obsep/ations: 21VariableCoefficientStd. Error t-StatisticProb.JNDB1.4301920.6177242.3152690.0319C-383.6823267.7256-1.4887240.1530R-squared0.220046Mean dependent var207.0733Adjusted R-squared0.178996S.D. dependent var183.5485S.E. of regression166.3119Akaike info criterion13.15600Sum

22、squared resid525533.6Schwarz citerion13.26548Log likelihood-136.1380F-statistic5.360423Durbin-Watson stat0.152206Prob(F-statistic0.031937CNDB二1. 4302JNDF-383. 6823匸2二022 D. W二0. 15(2. 12) (-1. 49)CNDB 与 ANDBDependent Variable: CNDBMethod: Least SquaresDate: 12/10/12 Time: 20:18Sample: 1989 2009Inclu

23、ded observations: 21VariableCoefficientStd. Errort-StatisticPob.ANDB1.3615660.07487918.183580.0000C-296.816629.32032-10.123240.0000R-squared0.945659Mean dependent var207.0733Adjusted R-squared0.942799S.D. dependent var183.5485S.E. of regression43.89889Akaike info criterion10.49205Sum squared resid36

24、615.15Schwarz criterion10.59153Log likelihood 108.1666F-statistic330.6427Durbin-Watson stat0.414831Prob(F-statistic)0.000000CXDB二1. 3616ANDB-296. 8166(18. 18) (-10. 12)才2二095 D. W二0. 41CNDB 与 CGDPDependent Variable: CNDBMethod: Least SquaresDate: 12/11/12 Time: 20:19Sample: 1989 2009Included observa

25、tions: 21VariableCoefficientStd. Error t-StatisticProb.CGDP13739.06243.220556.488110.0000C-9.2842234.96647348693800.0771R-squared0.994081Mean dependent var207.0733Adjusted R-squared0.993769S.D. dependent var183.5485S.匚.ofegeession14.48837Akaike info criterion8.274963Sum squared resid3988.346Schwarz

26、criterion8.374441Log likelihood84.88711F-statistic3190.907Dubin-Watson stat0721788Prob(F-statistic)0.000000CNDB二13739. 06CGDP-9. 2842(56. 49) (-1.87)R“2二0.99 D. W=0. 72CXDB 与 FINANCIALDependent Variable: CNDBMethod: Least SquaresDate: 12/10/12 Time: 20:21Sample: 1989 2009Included observations: 21Var

27、iableCoefficientStd. Error t-StatisticProb.FINANCIAL0.0092150.00016260.770120.0000C25.498674.1918116.0829720.0000R.-squared0.994881Mean dependent var207.0733Adjusted R-squared0.994612S D dependent var183.6485S.E. of regression13.47291Akaike info criterion8.129632Sum squared resid3448.866Schwarz crit

28、erion&229110Log likelihood-83.36113F-statistic3693.008Durbin-Watson stat1.006038Prob(F-statistic0.000000CXDB二0. 0092FINANCIAL+25. 4987(60. 77) (6. 08)甘2二0 99 D. W=l. 01由上而的结果看来CNDB受到FINANCIAL的影响最大,所以后 而慢慢放因素进去。CXDB二 B1JXDB+ B2FINANCIALDependent Variable: CNDBMethod: Least SquaresDate: 12/10/12 Time:

29、 20:4CSample: 1989 2009Included observations: 21VariableCoefficientStd. Errort-StatisticProb.JNDB-0.076130.057608-0.82649704193FINANCIAL0.0092840.00017553.187450.0000C43.7944222.536511.9432650.0678R-squared0.995069Mean dependent var207.0733Adjusted R-squared0.994521S.D. depend。nt var183.5485S.E. of

30、regression13.68669Akaike info criterion8.187622Sum squared resid3322.768Schwar2 criterion8.336840Log likelihood82.97003F-statistic1816.047Durbin-Watson stat1.121114Prob(F-statistic)0.000000CXDB二 B1JXDB+B2ANDB+B3FINANCIALVariableCoefficientStd. Errort-StatisticProb.JNDB-0.0271780.061632-0.4409750.664

31、8ANDB0.0972740.1023190.9506960.3551FINANCIAL0.0086320.00070812.185230.0000C12.2131340.176260.30398907648R-squared0.995318Mean dependent var207.0733Adjusted R-squared0.994491S.D. dependentvar183.5486S.E. of regression13.62314Akaike info criterion8.231059Sum squared r&sid3155.027Schwarz criterion8.430

32、016Log likelihood-82.42612F-statistic1204.531Durbin-Watson stat1.019860Prob(F-statistic)0.000000CXDB二 B1JXDB+B2 CGDP +B3FINANCIALDependent Variable: CNDBMethod: Least SquaresDate: 12/10/12 Time: 20:44Sample: 1989 2009Included obser/ations: 21VariableCoefficientStd Errort-StatisticProb.JNDB-0.0937570

33、.052734-1.7779270.0933CGDP7520.1992825.4412.6616020.0164FINANCIAL0.0043240.0018702.3124020.0335C42.1757119.492562.1636820.0450R-squared0.996519Mean dependent var207.0733Adjusted R-squared0.995905S.D. dependent var183.5485S.E. ofegression1174585Akaike info criterion7.934521Sum squared resid2345.406Schwarz criterion8.133477Log

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