实验六因子分析分析解析

1、实验六 因子分析实验目的学习利用SPSS进行因子分析二、实验步骤下表资料为25名健康人的7项生化检验结果，7项生化检验指标依次命名为 X1至X7,请对该资料进行因子分析。X1X2X3X4| X5X6X73.763.660.545.289.7713.744.788.594.991.3410.027.5010.162.136.226.144.529.842.172.731.097.577.287.0712.661.792.100.829.037.082.5911.764.546.221.285.513.981.306.925.337.302.403.270.620.443.367.638.848.

2、398.747.003.3111.683.534.761.129.649.491.0313.5713.1318.522.359.731.331.009.879.8711.063.708.592.981.179.177.859.912.627.125.493.689.722.643.431.194.693.012.175.982.763.552.015.511.341.275.814.575.383.431.661.611.572.801.782.093.725.905.761.558.845.407.501.979.849.271.5113.609.0212.671.758.394.922.5

3、410.053.965.241.434.944.381.036.686.499.062.817.232.301.777.794.395.372.279.467.311.0412.0011.5816.182.429.555.354.2511.742.773.511.054.944.524.508.071.792.101.298.213.082.429.103.754.661.729.416.445.1112.50|2.453.100.91实验步骤:1 .建立数据文件。定义变量名：分别为XI、X2、X3、X4 X5 X6 X7,按顺序输入相应数值， 建立数据文件。2 .选择菜单“ Analyze

4、f Data Reduction f Factor ” ，弹出“ Factor Analysis ”对话框。在对话框左侧的变量列表中选变量 X1至X7,进入“Variables 框，如图1。3 .单击“ Descriptives ”按钮，弹出“ Factor Analysis: Descriptives 对话框，在“ Statistics” 中选“ Univariate descriptives”项，输出各变量的均数与标准差，“在Correlation Matrix ”栏内选“ Coefficients ”，计算相 关系数矩阵，并选“ KMO and Bartlett test of sphe

5、ricity”项，对相关系数矩阵进行统计学检验，如图2。图1Factor Analysis DescriptivcsStatistics Univariate descriptive 任 Xnii； ia 1 solutionpCor relation Nitriz圧 Coefficients厂Si eni f icance 1 eve 厂 Reproduc區d 厂 ftrvniiriant厂 Ant iimaEe4.单击“ Extraction ”按钮，弹出“ Factor Analysis: Extraction”对话框，选用“ Principal components ”方法提取因子，如

6、图3。图3|y 罢和 and EarU et_t s test5. 单击“ Rotation ”按钮，弹出“ Factor Analysis: Rotation”对话框,在“ Method”栏中选择“Varimax”进行因子正交旋转，如图 4。6. 单击“ Scores ”按钮，弹出“ Factor Analysis: Scores ” 对话框，选 择“ Regression ”项估计因子得分系数，如图5。7. 单击“OK钮，得到输出结果。Factor Analysis: Rotation2dFactor Analysis: Factor ScoresMethod厂Ron电pirtirsire

7、iimirRi mu5 VaiimsLi?te?二二二一;二i厂 Direct QbliniDtHa.:|o厂 Qgr+imaM C qu&mkz r PrOllliEKfiDDS |T匝-Save as. variables.IMISS ISSIMI.l1pMethod( RtEf&ssion C MrtUttC Ander5cn-KiibinCancelpDisplay stated solut:厂 Loa dine plot (jJJiiplay fax tor score cotff icient maMasimum ItrationE foi图4图5三、实验习题对2008年重庆市40

8、个区县经济发展基本情况进行分析，选择合适的分析变 量，找出影响地区社会经济发展水平的主要因子， 并对各地区发展水平进行综合 评价或者对各地区经济发展状况进行分类。选取重庆市40个区市县经济发展基本情况的八项指标进行分析，分别为： X1-工业总产值（万元）,X2-农业总产值（万元），X3-建筑业总产值（万元）， X4-地方财政预算内收入（亿元），X5-非农业人口（万人），X6-公路货运 量（万吨），X7-城镇化率（%，X8-农村居民人均住房面积（平方米），数 据如下：区县工业总产 值（万元）农业总 产值（万元）建筑业总产值（万元）地方财政预算内收入（亿元）非农业人 口（万人）公路货运 量（万吨）

9、城镇化率农村居民人均住房面积（平方米）渝中区2242330115037521433959.569341000.00大渡口区3125659240502746787809918.39232710046.95江北区29962473836863491629694545.91182910032.06沙坪坝区4624569619229013482570065805九龙坡区666596790486148893913123358.87131310040.11南岸区38990825086068050417525447.63243710048.16北碚区26515871189693484

10、6810606830.86125471.2441.26渝北区6051440240448158546223362144.07220166.4442.32巴南区351251734531378967812022928.88125169.3939.23万盛区32961862386315683336113.23231770.8145.79双桥区82466544425263262412.8220592.8333.85涪陵区308584937531391268223539633.0485453.9136.07长寿区155345128244650742717279021.46121048.739.41江津区2

11、35458656704851258618835940.02121253.838.53合川区88123247009229372117138532.04140050.838.33永川区136723736644966020814216729.72284454.636.91南川区8866442784591532846797411.7135144.937.56綦江县8622653236219669410249822.18290537.4135.51潼南县2379763193984490833830411.9936228.730.81铜梁县72332926459317414012351614.952963

12、6.4139.98大足县6914312957001745268137417.72102034.3435.51荣昌县119565531075815116210588318.5125736.4132.83璧山县157187915499213806213522715.9285937.9242.00万州区173825742457196609614739951.06172051.0237.55梁平县438658254423925034016611.8165031.743.14城口县157206547966520142662.9510120.3930.52丰都县2359752164279513936863

13、15.0512528.5135.04垫江县5290922625971621915247914.43112330.635.90忠县2775962760322081154148616.0120328.937.17开县4208193874862926894822621.29642.63240.84云阳县1017032885961122302614118.4026028.434.71奉节县903902762751589893854413.2215828.1628.38巫山县773541507161031752403810.2937025.5229.90巫溪县5826311796630406137856

14、.2919220.135.72黔江区4385201399431183716833710.3621432.5534.33武隆县15981914247055382373955.9220229.9436.19石柱县19847716718863355282758.8341923.0343.45秀山县43885514523952199400928.6214523.4438.28酉阳县11063918337995461254198.5626020.0335.57彭水县203829179654209276351506.6711521.3233.05实验七 SPSS主成份分析、实验目的学习利用SPSS进行主成

15、份分析二、实验内容和步骤1、选 Analyze Data Reduction Factor 进入主对话框；2、把变量选入 Variables，然后点击Extraction ,3、 在Method选择一个方法（如果是主成分分析，则选Principal Components ）,4、 下面的选项可以随意，比如要画碎石图就选Scree plot ,另外在Extract选项可以按照特征值的大小选主成分（或因子），也可以选定因子的数目；之后回到主对话框（用 Continue ）。然后点击Rotation，再在该对话框中的 Method选择 一个旋转方法（如果是主成分分析就选None）,三、实验习题（二选

16、一）1 下表为山东省2006年统计数据，对此做主成分分析，找出主成分，并按第一、第二主成分对山东省各城市进行综合排名，说明排名结果。表 1 山东省 2006年统计数据单位:万元地区地区生产总值 第一产业增加值第二产业增加值 #工业增加值第三产业增加值济南市2185.09145.121001.78861.511038.19青岛市3206.58183.951677.171527.491345.46淄博市1645.1662.721079.061003.00503.38枣庄市759.9568.48482.82445.72208.65东营市1450.3153.271170.131115.03226.91

17、烟台市2405.75216.011462.241336.26727.49潍坊市1720.88211.811000.63916.51508.44济宁市1456.09187.06803.44740.97465.59泰安市1018.18116.28572.22503.54329.68威海市1368.53116.58849.59793.12402.36日照市505.8773.89251.56220.07180.42莱芜市291.9819.55192.40180.5980.03临沂市1404.86178.65730.83633.20495.38德州市1003.38140.73559.51504.0030

18、3.14聊城市841.33138.84491.96453.46210.54滨州市833.6797.21514.82471.75221.63菏泽市539.60166.44247.72209.63125.44单位:各方面的支出（万元）地区流通部门文体广播 教育支出 科学支出医疗卫生其他部门的事业费济南市11293124017593537377057235800青岛市351163853401744392568999134510淄博市18612743619013067014372331362枣庄市2711208568335315442476825433东营市1127165661140452016239

19、0727969烟台市2163078822059936344937960217潍坊市9773648425229829743721143285济宁市21744633820446428584315946694泰安市13821967210346623583698024055威海市7171846812000412662956237796日照市70108145802410981657115238莱芜市3887588499806761301010942临沂市44753994619438027775172334332德州市14152008010043227773144216555聊城市367726234103

20、39923522763613616滨州市7591709610028410622493019961菏泽市41331410125664115233193161702调查美国 50个州 7 种犯罪率，得结果列于表 35.2 ，其中给出的是美国 50个州每 100 000个人中七种犯罪的比率数据.这七种犯罪是：murder （杀人罪），rape （强奸罪），robbery （抢劫罪），assault （斗殴罪），burglary （夜盗罪），larceny （偷盗罪），auto （汽车犯罪），很 难直接从这七个变量出发来评价各州的治安和犯罪情况，试作主成份分析说明选几个主成 分合适，找出几个主成分，并

21、按照第一、第二主成分分别对50个周进行排名，并解释之。表1美国50个州七种犯罪的比率数据stateMurderraperobberyassaultburglarylarce nyauto州杀人罪强奸罪抢劫罪斗殴罪夜盗罪偷盗罪汽车犯罪ALABAMA14.225.296.8278.31135.51881.9280.7ALASKA10.851.696.8284.01331.73369.8753.3ARIZONA9.534.2138.2312.32346.14467.4439.5ARKANSAS8.827.683.2203.4972.61862.1183.4CALIFORNIA11.549.4287.

22、0358.02139.43499.8663.5COLORADO6.342.0170.7292.91935.23903.2477.1CONNECTICUT4.216.8129.5131.81346.02620.7593.2DELAWARE6.024.9157.0194.21682.63678.4467.0FLORIDA10.239.6187.9449.11859.93840.5351.4GEORGIA11.731.1140.5256.51351.12170.2297.9HAWAII7.225.5128.064.11911.53920.4489.4IDAHO5.519.439.6172.51050

23、.82599.6237.6ILLINOIS9.921.8211.3209.01085.02828.5528.6INDIANA7.426.5123.2153.51086.22498.7377.4IOWA2.310.641.289.8812.52685.1219.9KANSAS6.622.0100.7180.51270.42739.3244.3KENTUCKY10.119.181.1123.3872.21662.1245.4LOUISIANA15.530.9142.9335.51165.52469.9337.7MAINE2.413.538.7170.01253.12350.7246.9MARYLA

24、ND8.034.8292.1358.91400.03177.7428.5MASSACHUSETTS3.120.8169.1231.61532.22311.31140.1MICHIGAN9.338.9261.9274.61522.73159.0545.5MINNESOTA2.719.585.985.81134.72559.3343.1MISSISSIPPI14.319.665.7189.1915.61239.9144.4MISSOURI9.628.3189.0233.51318.32424.2378.4MONTANA5.416.739.2156.8804.92773.2309.2NEBRASKA3.918.164.7112.7760.02316.1249.1NEVADA15.849.1323.1355.02453.14212.6559.2NEW HAMPSHIRE3.210.723.276.01041.72343.9293.4NEW JERSEY5.621.0180.4185.11435.82774.5511.5NEW MEXICO8.839.1109.6343.4