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1、第八章 单因素方差分析8.1 黄花蒿中所含的青蒿素是当前抗疟首选药物，研究不同播期对黄花蒿种子产量的影响，试验采用完全随机化设计，得到以下结果(kg/小区)47：重 复播 种 期2月19日3月9日3月28日4月13日10.260.140.120.0320.490.240.110.0230.360.210.150.04对上述结果做方差分析。答：所用程序及结果如下：options linesize=76 nodate;data mugwort; do date=1 to 4; do repetit=1 to 3; input yield ; output; end; end;cards;0.26
2、0.49 0.360.14 0.24 0.210.12 0.11 0.150.03 0.02 0.04;run;proc anova; class date; model yield=date; means date/duncan;run; One-Way ANOVA Analysis of Variance Procedure Class Level Information Class Levels Values DATE 4 1 2 3 4 Number of observations in data set = 12 One-Way ANOVA Analysis of Variance
3、ProcedureDependent Variable: YIELD Sum of MeanSource DF Squares Square F Value Pr FModel 3 0.18515833 0.06171944 14.99 0.0012Error 8 0.03293333 0.00411667Corrected Total 11 0.21809167 R-Square C.V. Root MSE YIELD Mean 0.848993 35.48088 0.06416 0.18083Source DF Anova SS Mean Square F Value Pr FDATE 3
4、 0.18515833 0.06171944 14.99 0.0012 One-Way ANOVA Analysis of Variance Procedure Duncans Multiple Range Test for variable: YIELD NOTE: This test controls the type I comparisonwise error rate, not the experimentwise error rate Alpha= 0.05 df= 8 MSE= 0.004117 Number of Means 2 3 4 Critical Range .1208
5、 .1259 .1287 Means with the same letter are not significantly different. Duncan Grouping Mean N DATE A 0.37000 3 1 B 0.19667 3 2 B C B 0.12667 3 3 C C 0.03000 3 4对于方差分析表中各项内容的含义，在“SAS程序及释义”部分已经做了详细解释，这里不再重复。如果有不明白的地方，请复习“SAS程序及释义”的相关内容。SAS分析结果指出，不同播种期其产量差异极显著。多重比较表明，2和3间差异不显著，3和4间差异不显著，1和其他各组间差异都显著。
6、以上结果可以归纳成下表。变差来源平方和自由度均方FP播期间0.185 158 3330.061 719 4414.990.001 2重复间0.032 933 3380.004 116 67总 和0.218 091 6711 多重比较：12348.2 下表是6种溶液及对照组的雌激素活度鉴定，指标是小鼠子宫重。对表中的数据做方差分析，若差异是显著的，则需做多重比较。鼠 号溶 液 种 类(ck)1 89.984.464.475.288.456.465.62 93.8116.079.862.490.283.279.43 88.484.088.062.473.290.465.64112.668.669.
7、473.887.885.670.2答：所用程序及结果如下：options linesize=76 nodate;data uterus; infile e:dataexr8-2e.dat; do solution=1 to 7; do repetit=1 to 4; input weight ; output; end; end;run;proc anova; class solution; model weight=solution; means solution/duncan;run; The SAS System Analysis of Variance Procedure Class
8、Level Information Class Levels Values SOLUTION 7 1 2 3 4 5 6 7 Number of observations in data set = 28 The SAS System Analysis of Variance ProcedureDependent Variable: WEIGHT Sum of MeanSource DF Squares Square F Value Pr FModel 6 2419.10500 403.18417 2.77 0.0385Error 21 3061.30750 145.77655Correcte
9、d Total 27 5480.41250 R-Square C.V. Root MSE WEIGHT Mean 0.441409 15.03118 12.0738 80.3250Source DF Anova SS Mean Square F Value Pr FSOLUTION 6 2419.10500 403.18417 2.77 0.0385 The SAS System Analysis of Variance Procedure Duncans Multiple Range Test for variable: WEIGHT NOTE: This test controls the type I comparisonwise error rate, not the experimentwise
