多元統(tǒng)計(jì)分析對(duì)應(yīng)分析

1、學(xué)生實(shí)驗(yàn)報(bào)告學(xué) 院：統(tǒng)計(jì)學(xué)院課程名稱：多元統(tǒng)計(jì)分析專業(yè)班級(jí)： 統(tǒng)計(jì)123班姓名： 葉常青學(xué)號(hào):0124253學(xué)生實(shí)驗(yàn)報(bào)告學(xué)生姓名葉常青學(xué)號(hào)0124253同組人實(shí)驗(yàn)工程對(duì)應(yīng)分析的上機(jī)操作口必修 口選修口演示性實(shí)驗(yàn)口驗(yàn)證性實(shí)驗(yàn)口操作性實(shí)驗(yàn)口綜合性實(shí)驗(yàn)實(shí)驗(yàn)地點(diǎn)實(shí)驗(yàn)儀器臺(tái)號(hào)指導(dǎo)教師李燕輝實(shí)驗(yàn)日期及節(jié)次一、實(shí)驗(yàn)?zāi)康募耙螅耗康氖煜ず驼莆諏?duì)應(yīng)分析的原理和上機(jī)操作方法內(nèi)容及要求本次操作就父母與孩子的受教育程度的關(guān)系進(jìn)行對(duì)應(yīng)分析,分別對(duì)父親與孩子和母親與孩子的受教育程度做對(duì)應(yīng)分析,最后再對(duì)輸出結(jié)果進(jìn)行詳細(xì)的分析、儀器用具:儀器名稱規(guī)格/型號(hào)數(shù)量備注計(jì)算機(jī)1有網(wǎng)絡(luò)環(huán)境SPSS軟件1三、實(shí)驗(yàn)方法與步驟：翻開GSS

2、93 subset .sav 數(shù)據(jù),對(duì)變量Degree與變量padeg和madeg進(jìn)行對(duì)應(yīng)分析,依次選擇 分析 降維 進(jìn)入 對(duì)應(yīng)分析 對(duì)話框,進(jìn)行進(jìn)行如下設(shè)置,便可輸出想要的數(shù)據(jù)的：四、實(shí)驗(yàn)結(jié)果與數(shù)據(jù)處理：根據(jù)上述方法和步驟得出以下輸出結(jié)果對(duì)父親受教育程度與孩子受教育程度的關(guān)系進(jìn)行分析如下：表1對(duì)應(yīng)表Father'sHighestDegreeR's Highest DegreeLess thanHSHigh schoolJunior collegeBachelorGraduate有效 邊際LT High School156308294525563High School27248

3、347937425Junior College11128325Bachelor64374718121Graduate3223271671有效邊際19363275206991205表2摘要數(shù)維值奇異慣量卡方Sig.慣量比例置信奇異值解釋累積差標(biāo)準(zhǔn)相關(guān)21.400.160.846.846.025.2562.164.027.142.988.0263.047.002.0121.0004.006.000.0001.000總.189228.1.000 a1.0001.000計(jì)93a. 16 自由度表3摘要敦維奇異值慣量卡方Sig.慣量比例置信奇異值解釋累積標(biāo)準(zhǔn)差相關(guān)21.400.160.846.846.0

4、25.2562.164.027.142.988.0263.047.002.0121.0004.006.000.0001.000總.189228.19.000 a1.0001.0003a. 16 自由度第二局部摘要給出了慣量,卡方值以及每一維度所解釋的總慣量的百分比信息.總慣量為0.189 ,卡方值為228.193 ,有關(guān)系式 228.193=0.189*1205 ,由此可以清楚的看到總慣量和卡方的關(guān)系.Sig.是假設(shè)卡方值為0成立的概率,它的值幾乎為 0說(shuō)明列聯(lián)表之間有較強(qiáng)的相關(guān)性.表注說(shuō)明的自由度為(5-1 )* (5-1) =16.慣量局部是四個(gè)公共因子分別解釋總慣量的百分比.表4行簡(jiǎn)要表

5、Father'sHighestR's Highest DegreeDegreeLess thanHighJuniorBachelGradua有效HSschoolcollegeorte邊際LT High School.277.547.052.080.0441.000High School.064.584.080.186.0871.000Junior College.040.440.080.320.1201.000Bachelor.050.355.058.388.1491.000Graduate.042.310.042.380.2251.000質(zhì)量.160.524.062.171.

6、082表5列簡(jiǎn)要表Father'sHighestDegreeR's Highest DegreeLess thanHSHigh schoolJunior collegeorBachelGraduate質(zhì)量LT High School.808.487.387.218.253.467High School.140.392.453.383.374.353Junior College.005.017.027.039.030.021Bachelor.031.068.093.228.182.100Graduate.016.035.040.131.162.059有效邊際1.0001.0001

7、.0001.0001.000第三局部的結(jié)果是在又t應(yīng)分析中點(diǎn)擊Statistics 按鈕,進(jìn)入 Statistics對(duì)話框,選中 Rowprofiles和Column profiles交友程序運(yùn)行所得到的.表6概述行點(diǎn)Father'sHighestDegree質(zhì)量維中的得分慣量奉獻(xiàn)12點(diǎn)對(duì)維慣量維對(duì)點(diǎn)慣量1212總計(jì)LT HighSchool.467-.608.188.072.432.100.963.0371.000HighSchool.353.269-.509.025.064.559.406.593.999JuniorCollege.021.786.007.005.032.000.9

8、65.000.965Bachelor.1001.019.476.046.261.139.901.080.981Graduate有效總計(jì).0591.0001.199.749.040.189.2111.000.2021.000.838.134.971a,對(duì)稱標(biāo)準(zhǔn)化表7概述列點(diǎn)aR's質(zhì)量維中的得分慣量奉獻(xiàn)Highest12點(diǎn)對(duì)維慣量維對(duì)點(diǎn)慣量Degree1212總計(jì)Less than.160-.998.652.075.399.416.851.1491.000HSHigh.524-.165-.305.014.036.298.417.582.998schoolJunior.062.127-.5

9、12.003.003.100.127.845.972collegeBachelor Graduate 有效總計(jì).171.0821.000.976.874.321.395.069.029.189.406.1571.000.108.0781.000.948.875.042.073.990.949a,對(duì)稱標(biāo)準(zhǔn)化第四局部是概述行點(diǎn)和概述列點(diǎn),是對(duì)列聯(lián)表行與列各狀態(tài)有關(guān)信息的概括,其中質(zhì)量是行與列的邊緣概率,也就是 PI與PJ.慣量是每一行列與其重心的加權(quán)距離平方,可以看到II=IJ=0.189 o由概述行點(diǎn)表可知變量 degree的狀態(tài)Less than HS和Bachelor在第一維度中奉獻(xiàn)較大分別

10、為0,399和0.406.狀態(tài)Less than HS 對(duì)第二維度奉獻(xiàn)最大為0.416.概述列表可知變量padeg的狀態(tài)LT High School 在第一維度奉獻(xiàn)最大為0.432.狀態(tài)High School對(duì)第二維度奉獻(xiàn)最大為0.559.第五局部是degree各狀態(tài)和paged各狀態(tài)同時(shí)在一張二維表上的投影,由圖可以看到父親初中的教育程度、高中的教育程度與孩子的教育程度有較強(qiáng)的關(guān)聯(lián)性.表1對(duì)應(yīng)表Mother's Highest DegreeR's Highest DegreeLess:han HSHigh schoolJunior collegeBachelorGraduat

11、e有效 邊際LT High School169286253723540High School403744113356644Junior College213615541Bachelor33311341596Graduate28110829有效邊際216714842291071350第一局部是對(duì)應(yīng)表,對(duì)應(yīng)表是由原始數(shù)據(jù)按degree與padeg分類的列連表,可以看到總有效觀測(cè)值為1350,而不是原始數(shù)據(jù)1500.說(shuō)明有效的觀測(cè)數(shù)據(jù)有1350個(gè),這是由于原始數(shù)據(jù)中有150個(gè)數(shù)據(jù)缺失.表2摘要維 數(shù)奇異 值慣量卡方Sig.慣量比例置信奇異值解釋累積標(biāo)準(zhǔn)差相關(guān)21234總 計(jì).400.164.047.

12、006.160.027.002.000.189228.193,000 a.846.142.012.0001.000.846.9881.0001.0001.000.025.026.256a. 16 自由度第二局部是摘要表.第二局部摘要給出了慣量,卡方值以及每一維度所解釋的總慣量的百分比信息.總慣量為0.189 ,卡方值為228.193 ,有關(guān)系式228.193=0.189*1205 ,由此可以清楚的看到總慣量和卡方 的關(guān)系.Sig,是假設(shè)卡方值為 0成立的概率,它的值幾乎為0說(shuō)明列聯(lián)表之間有較強(qiáng)的相關(guān)性.表注說(shuō)明的自由度為5-1 * 5-1 =16.慣量局部是四個(gè)公共因子分別解釋總慣量的百分比.

13、概述行點(diǎn)Mother'sHighestDegree質(zhì)量維中的得分慣量奉獻(xiàn)12點(diǎn)對(duì)維慣量維對(duì)點(diǎn)慣量1212總計(jì)LT HighSchool.400-.744.143.091.546.052.986.0141.000HighSchool.477.371-.339.035.162.350.755.243.998JuniorCollege.030.941.807.016.066.126.683.194.877Bachelor.071.992.733.035.173.244.817.172.989Graduate有效總計(jì).0211.0001.0041.285.018.195.0531.000.22

14、71.000.479.303.781a,對(duì)稱標(biāo)準(zhǔn)化 概述列點(diǎn)aR's Highest Degree質(zhì)量維中的得分慣量奉獻(xiàn)12點(diǎn)對(duì)維慣量維對(duì)點(diǎn)慣量1212總計(jì)Less thanHS.160-1.188.504.098.557.260.935.0651.000High school.529-.073-.365.012.007.450.093.901.994Junior college.062.416.296.008.027.035.514.100.614Bachelor.170.858.283.053.308.087.956.040.996Graduate有效總計(jì).0791.000.721.576.024.195.1021.000.1681.000.706.174.881a,對(duì)稱標(biāo)準(zhǔn)化第三局部是概述行點(diǎn)和概述列點(diǎn),是對(duì)列聯(lián)表行與列各狀態(tài)有關(guān)信息的概括,由奉獻(xiàn)局部可以看出 LTHigh School這一狀態(tài)對(duì)第一維度的奉獻(xiàn)最大,在表的最后維度局部對(duì)各狀態(tài)特征值的奉獻(xiàn)局部,看到除了Graduate外,其余各最高學(xué)歷的特征值的分布大局部集中在第一維度上,說(shuō)明第一維度反映了最高學(xué)歷各狀態(tài)