東北師范大學數學與統計學院研究生期末專業課考試試卷學科專業：免師教育碩士 命題教師：胡果榮紙型：A4紙考試科目：數學教育測量與評價考試時間：2019年01月說明：所有試題答案均寫在答題紙上，答在本試卷上的一律無效。一（15分）、試用Spss檢驗10個觀測值97,62,78,98,96,83,89,74,92,74的樣本其平均值是否與、二85有顯著差異？并說明統計檢驗步聚。dataa;inputx@@;datalines;97627898968389749274；run;procttestdata=ah0=85;run;均值95%置信限均值標準差95%看信?標準差84300075542892957212.101983241 22.0933分布：X具有95%?信區閻的均值自由度tPr>Itl分布：X具有95%?信區閻的均值自由度tPr>Itl9-0.180858930201038口不能證明其樣本均值與、二85有顯著差異檢驗步驟請自己翻書二（15分）、試用Spss比較兩獨立樣本173,106,203,140,95,113,141,173,163,156和165,100,203,125,105,102,167,186,156,173的總體均值是否相等？datab;inputxy;dif=x-y;

datalines;17316510610020320314012595105113102141167173186163156156173；run;procttestdata=b;vardif;run;□95%置信□95%置信N均值標準差標準誤差最小值最大值10-1.900013.71504.3370-26.000015.0000均值95%置信限均值標準差95%置信限標準差-1.9000-11.71117.91111371509.433625.0382自由度t值Pr>|t|g-0.440.6717分布：dif具有95%苦信區間的均值不能證明兩樣本總體均值不相等三（15分）、試用Spss對下表中8組數據采用逐步回歸法建立Y關于X1,X2線性回歸方程。當新樣品為x1=85,x2=35時，試給出％的預測值。i456891.585.582.57980.574.5間-50^20-20^~30\~30\506050120141124126117125123125datac;inputx1x2y;datalines;765012091.52014185.52012482.530126793011780.55012574.560123795012585 34.;run;procstepwisedata=c;modely=x1x2;run;procregdata=c;modely=x1x2/clialpha=0.05;;run;quit;?曹H方￡44U,-E?HH--&LRftAR*粉的SIAfiBLS.沸FK*S?BlrIt*KA日aPffi*r?F1.J ?0€S6-04S?iiJSTMH45BIM4I3>2 1口Ma?s3anauh7口川我所有變量均保留，y=-58.32+2.06x1+0.42x2的出境計量觀測因變量喝準差值測標誤均預95%為信限預測殘差112011942641.29841119598126.89290.57362141138.74612.2181129.9643147.52802.25393124126.3759154541186047134.1471-2.3759412612440301.1395117.10991316961159705117117.187018887108.9298125.4443-070411.4850121.0111136.3970-3.70417123120.546116306112.6607128.43142.45398125125.6115123671182145133.0085-061159131.24221.2846123.7914138.6929預測值131.2422四（20分）、為考查非公費、公費和重修三個班的高數成績是否有顯著差異，隨機從各班級抽取均10名學生成績（如下左表按列），試用Spss分析；如果有差異，進行多重比較分析。procglmdata=d;classi;modelx=i;meansi/snk;run;quit;■th的分?j有顯著差異■th的分?j有顯著差異0.0527Alpha0.0527ErrorDegreesofFreedomX167.0094.0094.00X28E..0080.0058.0071.0090.0078.0091.0094.0099.0090.0092.0060.0081X167.0094.0094.00X28E..0080.0058.0071.0090.0078.0091.0094.0099.0090.0092.0060.0081.0099.0086.0093.0069.00|Y1Y2Y3Y4144.0019.004.70□,43181.0019.004.90□,43157.0015.004.90□,48170.007.005.200.73152.0011.005.000.77145.0023.004.60□,26175.0024.005.50□,40149.0027.004.70□,4299.0010.004.300.43113.006.003.700.4435.0066.00x332.0028.0034.0026.0068.0018.0062.0068.00年級合計*:口一曲一曲二效果良好210382S052S一般6040250350無效5030240320「計320108770119S麹果,年期交叉制表NumberofMeans23CriticalRange1429484117.273374ErrorMeanSquare242.6889具有相同字母的均值稍有不同.SNK分組均值NA83.700102AA83400101B43700103五（20分）設隨機變量Y1,Y2,Y3,Y4具有如上中表數據。（1）求這些隨機變量主成分因子模型，并計算該模型共同因子關于X1共同度h2及第1特殊因子的方差2的估計。（2）作主成分分析，求出第一主成分與第一主成分的貢獻率。datae;inputy1y2y3y4;datalines;144194.70.43181194.90.43157154.90.481707 5.20.73152115 0.77145234.60.26175245.50.4149274.70.4299104.30.431136 3.70.44run;procfactordata=emethod=prin;vary1-y4;run;procprincompdata=e;vary1-y4;run;2個因子杵楨MINEIGEN準則保留.因子事SCFactor1Factor?yl093902012634y2058888-076400y3093647022081y40.12936096234短個因子已修裨方差FactorlFactor22122247215744992墨終的公因子方差估計：總計=3696746yiy2y3y<0897728030930464540.92572731094282650X1共同度T0.8977及第1特殊因子的方差12的估計22221HEHKPriRb招th??l!<???01WT7ZPrtihJiPnn.1dMM11417twillVMTK.*Qtiuni公時用力基46-曼原甘1HEHKPriRb招th??l!<???01WT7ZPrtihJiPnn.1dMM11417twillVMTK.*Qtiuni公時用力基46-曼原甘Prin1=0.644583y1+0.404228y2+0.642828y3+0.088796y4貢獻率53%六（15分）、教改后的效果調查結果如上右表。問教育效果與學生年級是否有關聯？并進步分析相關源，即究竟與哪個年級上效果是顯著的?dataf;dox=1to3;doy=1to3;inputfreq@@;output;end;end;datalines;2103828060402505030240,run;procfreqdata=f;tablesx*y/chisqnocolcmh;weightfreq;run;妓池百分比行百行山X123合計121017.SJ39.773B3.177題2B021.3752944.072&05.011714403.3411.4325020.0771433502sL221504.1715.M302.3