李春喜《生物统计学》第三版--课后作业答案.

Multiple ComparisonsDependent Variable: 血糖含量(葡萄糖含量/100g血液中)95% Confidence IntervalStd. Error5.1215.1215.1215.1215.1215.1215.1215.1215.1215.1215.1215.121Sig..070.002.123.070.129.002.002.129.000.123.002.000Lower Bound-20.62-28.76-2.47-.90-18.907.387.24-2.6215.53-19.05-28.90-37.05Upper Bound.90-7.2419.0520.622.6228.9028.7618.9037.052.47-7.38-15.53(I) 品种(1=一号;2=二(J) 品种(1=一号;2=二号;3=三号;4=四号)号;3=三号;4=四号)LSD11234212343123441234Bonferroni11234212343123441234Based on observed means.*. The mean difference is significant at the .05 level.MeanDifference (I-J)-9.86-18.00*8.299.86-8.1418.14*18.00*8.1426.29*-8.29-18.14*-26.29*-9.86-18.00*8.299.86-8.1418.14*18.00*8.1426.29*-8.29-18.14*-26.29*5.1215.1215.1215.1215.1215.1215.1215.1215.1215.1215.1215.121.421.015.738.421.775.014.015.775.000.738.014.000-25.03-33.17-6.89-5.32-23.322.972.83-7.0311.11-23.46-33.32-41.465.32-2.8323.4625.037.0333.3233.1723.3241.466.89-2.97-11.11 LSD检验结果表明,品种Ⅲ与品种Ⅰ、品种Ⅳ差异达极显著水平;品种Ⅱ与品种Ⅳ差异达极显著水平。

(2)室温间比较

温度(1=35℃,2=30℃,3=25℃,4=20℃,5=15℃,6=10℃,7=5℃。

Multiple ComparisonsDependent Variable: 血糖含量(葡萄糖含量/100g血液中)LSD(I) 温度(1=35°C,2=30°C(J) 温度(1=35°C,2=30°C,3=25°C,4=20°C,5=15°,3=25°C,4=20°C,5=15°C,6=10°C,7=5°C)C,6=10°C,7=5°C)1234567213456731245674123567512346761234577123456*. The mean difference is significant at the .05 level.MeanDifference (I-J)25.00*40.00*58.25*56.00*27.50*17.50-25.00*15.0033.25*31.00*2.50-7.50-40.00*-15.0018.2516.00-12.50-22.50*-58.25*-33.25*-18.25-2.25-30.75*-40.75*-56.00*-31.00*-16.002.25-28.50*-38.50*-27.50*-2.5012.5030.75*28.50*-10.00-17.507.5022.50*40.75*38.50*10.0095% Confidence IntervalStd. Error10.24810.24810.24810.24810.24810.24810.24810.24810.24810.24810.24810.24810.24810.24810.24810.24810.24810.24810.24810.24810.24810.24810.24810.24810.24810.24810.24810.24810.24810.24810.24810.24810.24810.24810.24810.24810.24810.24810.24810.24810.24810.248Sig..024.001.000.000.014.102.024.158.004.006.810.472.001.158.089.133.236.039.000.004.089.828.007.001.000.006.133.828.011.001.014.810.236.007.011.340.102.472.039.001.001.340Lower Bound3.6918.6936.9434.696.19-3.81-46.31-6.3111.949.69-18.81-28.81-61.31-36.31-3.06-5.31-33.81-43.81-79.56-54.56-39.56-23.56-52.06-62.06-77.31-52.31-37.31-19.06-49.81-59.81-48.81-23.81-8.819.447.19-31.31-38.81-13.811.1919.4417.19-11.31Upper Bound46.3161.3179.5677.3148.8138.81-3.6936.3154.5652.3123.8113.81-18.696.3139.5637.318.81-1.19-36.94-11.943.0619.06-9.44-19.44-34.69-9.695.3123.56-7.19-17.19-6.1918.8133.8152.0649.8111.313.8128.8143.8162.0659.8131.31 LSD检验结果表明,35℃与25℃,20℃,15℃的温度差异均达到极显著水平,与30℃,10℃,5℃的温度差异达到显著水平;30℃与20℃,15℃的温度差异均达到极显著水平,与35℃,25℃的温度差异达到显著水平,与10℃,5℃的温度差异不显著;25℃与35℃的温度差异达到极显著水平,与30℃,20℃,15℃,5℃的温度差异达显著水平,与10℃的温度差异不显著;20℃与35℃,30℃,10℃,5℃的差异达到极显著水平,与25℃的温度差异达到显著水平,与15℃的温度差异不显著;15℃与35℃,30℃,5℃的温度差异达到极显著水平,与25℃,10℃的温度差异达到显著水平,与20°C的差异不显著;10℃与35℃,20℃,15℃的温度差异达显著水平,与30℃,25℃,5℃的温度差异不显著;5℃与20℃,15℃的温度差异达极显著,与35℃,30℃,25℃,10℃的温度差异不显著。

习题6.7 解:根据题目所给信息可知本题为有重复观测值的二因素方差分析,原料和发酵温度均为固定因素,可按固定模型进行分析,以原料作为因素A,因素A有3个水平;以发酵温度作为因素B,因素B有3个水平;每一个处理均重复4次,实验共有36个观测值。经SPSS方差分析,得到如下结果:

Tests of Between-Subjects EffectsDependent Variable: 适宜的条件SourceCorrected ModelInterceptFACTORX1FACTORX2ErrorTotalCorrected TotalType III Sumof Squares4704.667a37636.0003150.5001554.1672465.33344806.0007170.000df4122313635Mean Square1176.16737636.0001575.250777.08379.527F14.790473.24919.8089.771Sig..000.000.000.001 经过方差分析可知:原料、温度间的差异均达极显著水平,原料X温度的差异达显著水平。

多重比较(LSD检验) 原料的检验:

a. R Squared = .656 (Adjusted R Squared = .612)Multiple ComparisonsDependent Variable: 适宜的条件95% Confidence IntervalStd. Error3.6413.6413.6413.6413.6413.641Sig..007.000.007.147.000.147Lower Bound-17.84-23.262.99-12.848.41-2.01Upper Bound-2.99-8.4117.842.0123.2612.84(I) 原料(1=A1;(J) 原料(1=A1;Mean2=A2;3=A3)2=A2;3=A3)Difference (I-J)LSD112321233123Bonferroni112321233123Based on observed means.*. The mean difference is significant at the .05 level.-5.4215.83*5.42-10.42*-15.83*10.42*-5.4215.83*5.42-10.42*-15.83*10.42*3.6413.6413.6413.6413.6413.641.022.000.022.441.000.441-19.63-25.051.20-14.636.62-3.80-1.20-6.6219.633.8025.0514.63 Multiple Comparisons温度的检验:

Dependent Variable: 适宜的条件95% Confidence IntervalStd. Error3.6413.6413.6413.6413.6413.641Sig..019.000.019.001.000.001Lower Bound1.5715.32-16.436.32-30.18-21.18Upper Bound16.4330.18-1.5721.18-15.32-6.32(I) 温度(1=30°C;2=35°C,3=40°C)LSD1(J) 温度(1=30°C;2=35°C,3=40°C)123MeanDifference (I-J)9.00*22.75*-9.00*13.75*-22.75*-13.75*21233123Bonferroni11239.0022.75*-9.0013.75*-22.75*-13.75*3.6413.6413.6413.6413.6413.641.057.000.057.002.000.002-.2113.54-18.214.54-31.96-22.9618.2131.96.2122.96-13.54-4.5421233123Based on observed means.*. The mean difference is significant at the .05 level. 经过多重比较可知:该物质比较适宜的条件是:原选A1,温度选30℃。

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