实验心理学多因素设计方差分析例子

1、声音刺激甲（s1）三个被试 （成绩的和）乙（s2） 三个被试（成绩的 和）17|噪音一90db(l1)1717(N1)120db(l2)27386.65625噪音二90db(I1)161116I(N2)120db(I2)182518 |被试间507690.083噪音间816.75408.333强度间310.083972S1N1I1S1N2I1S1N1I2S1N2I2 S2N1I1S2N2I1S2N1I2X9271111314X4101022515X44105439工X17162718171138(工 X )296.3333385.33333333243108 96.333333340.3333

2、3481.3333SSX169X 28144912112191962X1610010044252252X16161002516981工X 211312024915014143502SSX 21615平方和组间平方和=2 2工(X )2/3) (XXX) 2/N=168.9583组内平方和=2X XX 22X ( X X) /3)=256总平方和二E(x -X )X XX 2(XXX) 2/n=424.9583接受假设组间差别不显著声音刺激间平方和=7.04噪音背景间平方和=35.041强度间平方和=92.04SXN的平方和=3.375SXI的平方和=22.04167NXI的平方和=9.38SX

3、NXI的平方和=0.04|SXNN1N2XS1443478S2553691艺9970169(注:分母用4X6，是因按强度I分成4个小组,每组6个人，共24人）SXII1I2S1334578S2286391声音刺激甲sQ三个 （成绩的和）被试Ss2三个 （成绩的和）噪音一1（90db(l1)17Q44)17112,4120db(l2)27710103814159噪音二2（90db(I1)162104)113,5,3)120db(I2)181123255,416被试组内被试间（误差）256SXNXI的平方和等于组间平方和减去 S、N、I和SXN、SXI、NXI各平方和S1S2N1N2I1I2Sxi

4、9119297942410410444444104714111111141410152221515109454992373211210510510210431034541151453552415454451691631616方差分析差异源SSdfMSFP-valueF critS7.04166717.041670.440104n35.04167135.04172.190104I92.04167192.04175.752604SN3.37513.3750.210938SI22.04167122.04171.377604NI9.37519.3750.585938168.9167组间168.9583

5、724.13691.508557SNI0.04166710.041670.00260461108169NXII1I2S1346599S227437061108169三重交互作用组内2561616总计424.958323方差分析：无重复双因素分析SUMMARY 计数求和平均方差行18627.7517.92857行28526.521.71429行38556.87520.125列13175.666678.333333列23165.3333317.33333列332793列4318621列53175.6666722.33333列63113.666671.333333列733812.666710.333

6、33列83258.3333344.33333方差分析差异源SSdfMSFP-valueF crit行6.58333323.291670.1847640.833294543.738892列168.9583724.13691.3548280.297018752.764199误差249.41671417.8155256总计424.958323106.9932413.868287.30566128.6807106.9932982.430718.86816336.49321967.646S2N2I2总计562452165525169208.333313592560616490256519自由度均方F值F critP724.13691.5085572.66>0.0516162317.040.4401044.49135.042.1901044.49>0.05192.045.7526044.49<0.0513.380.2109384.49122.041.3776044.49>0.0519.380.5859384.4910.040.0026044.492971615P-值0.23377290.51651750.15832040.02900810.65221180.25768570