Multiple Com parisons
Dependent Variable?猪体重(kg)
（I）母猪型号（ 仁NO.1;2二NO.2;3=【
LSD
(J)母猪型号(
Mea n
NO.3)仁 NO.1;2二NO.2;3
).3)Difference (I-J) Std. Error 二NC
1 2
95% Co nfide nce In terval
Sig.
Lower Bound Upper Bound
1
2.714* 6.000* -2.714*
.9776 .9179 .9776
.011 .000 .011
.681 4.091 -4.747
4.747 7.909 -.681
3
2
1 2
3 1 2 3 1 2 3 1
3.286* -6.000* -3.286*
.9519 .9179 .9519
.002 .000 .002
1.306 -7.909 -5.265
5.265 -4.091 -1.306
3
Bonferroni 1
2.714* 6.000* -2.714*
.9776 .9179 .9776
.034 .000 .034
.171 3.612 -5.257
5.257 8.388 -.171
2
2
3 1 2
3.286* -6.000* -3.286*
.9519 .9179 .9519
.007 .000 .007
.809 -8.388 -5.762
5.762 -3.612 -.809
3
3
.The mea n differe nee is sig ni fica nt at the .05 level.
多重比较结果表明，母猪对仔猪断奶时体重有极显著的影响，参试的 的差异均达极显著水平。
3头母猪彼此之间
习题6.6
解：根据题目所给信息可知该题是两因素无重复观测值得方差分析，
可以分别对品种、室温
这两个因素的效应进行分析，且品种、室温均为固定因素，可依固定模型进行分析。
以家兔品种作为因素 A,该因素有4个水平；以室温作为因素 B,该因素有7个水平， 经SPSS统计分析结果如下： 经F检验结果表明：品种和室温对家兔血糖值的影响均达极显著水平。 多重比较（LSD佥验） （1）品种间比较：
Tests of Betw een-Subjeets Effects
Dependent Vaabe：血糖含量(葡萄糖含量/100g血液中)
Source
Corrected Model 13288.607a Intercept FACTCRX2 FACTCRX1 Error Total
373296.036 2758.393 10530.214 1652.357 388237.000 14940.964
Type III Sum of Squares
df
Mean Square 9 1476.512 F
16.084
1 373296.036 4066.511 3 6 18
919.464 1755.036 91.798
10.016 19.119
Sig. .000
.000
.000
.000
Corrected Total
28 27
a. R Squared = .889 (Adjusted R Squared = .834)
Multiple Com parisons
Dependent Var iable:血糖含量 (葡萄糖含 量/100g血液中)
(I)品种(仁一号；2=二 号；3=三号； 4=四号)
LSD
(J)品种(仁一号；2=二 号；3=三号； 4=四号) 1 2 3 4 1 2 3 4
Mean
Difference (I-J)
Std. Error
Sig.
95% Confidence Interval Low er Bound Upper Bound
1
-9.86 -18.00* 8.29 9.86
5.121 5.121 5.121 5.121
.070 .002 .123 .070
-20.62 -28.76 -2.47 -.90
.90 -7.24 19.05 20.62 2.62 28.90 28.76 18.90
2
-8.14 18.14*
5.121 5.121 5.121 5.121
.129 .002 .002 .129
-18.90 7.38 7.24 -2.62
3
1 2 3 4
18.00* 8.14
26.29*
5.121 5.121 5.121 5.121
.000 .123 .002 .000
15.53 -19.05 -28.90 -37.05
37.05 2.47 -7.38 -15.53
4
1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4
-8.29 -18.14* -26.29*
Bonferroni
1
-9.86 -18.00* 8.29 9.86
5.121 5.121 5.121 5.121
.421 .015 .738 .421
-25.03 -33.17 -6.89 -5.32
5.32 -2.83 23.46 25.03
2
-8.14 18.14* 18.00* 8.14
5.121 5.121 5.121 5.121
.775 .014 .015 .775
-23.32 2.97 2.83 -7.03
7.03 33.32 33.17 23.32
3
26.29* -8.29 -18.14* -26.29*
5.121 5.121 5.121 5.121
.000 .738 .014 .000
11.11 -23.46 -33.32 -41.46
41.46 6.89 -2.97 -11.11
4
Based on observed m eans.
* The mean differenc e is s ignificant at the .05 level.
LSD检验结果表明，品种川与品种I、品种W差异达极显著水平；
达极显著水平。
品种n与品种W差异
(2)室温间比较
温度(仁35C, 2=30C, 3=25C, 4=20C, 5=15C, 6=10C, 7=5Co
Mu Itiple C om paris on s
Dependent V ariab le:血糖含量（葡萄糖含量 LSD
/100g血液中）
(I)温度(1=35 °C,
2=30 ° ,3=25 °C, 4=20 °C, 5=15 °
C, 6=10 °C, 7=5° C) 1
(J)温度仁35 °C, 2=30 °C
( ,3=25 ° C, 4=20 °C, 5=15 ° C, 6=10 °C , 7=5° C) 2 3
Mea n Diff erenee (I-J)
25.00* 40.00*
Std. Error
10.248 10.248 10.248 10.248 10.248 10.248 10.248 10.248 10.248 10.248 10.248 10.248 10.248 10.248 10.248 10.248 10.248 10.248 10.248 10.248 10.248 10.248 10.248 10.248 10.248 10.248 10.248 10.248 10.248 10.248 10.248 10.248 10.248 10.248 10.248 10.248 10.248 10.248 10.248 10.248 10.248 10.248
Sig.
.024 .001 .0 00 .0 00 .014 .1 02 .024 .1 58 .0 04 .0 06 .810 .4 72 .001 .1 58 .0 89 .1 33 .2 36 .0 39 .0 00 .0 04 .0 89 .828 .0 07 .001 .0 00 .0 06 .1 33 .828 .011 .001 .014 .810 .2 36 .0 07 .011 .340 .1 02 .4 72 .0 39 .001 .001 .340
95% Conf ide nee In terval Lo wer Bound
3.69 18.69 36.94 34.69 6.19 -3.81 -46.3 1 -6.31 11.94 9.69 -18.8 1 -28.8 1 -61.3 1 -36.3 1 -3.06 -5.31 -33.8 1 -43.8 1 -79.5 6 -54.5 6 -39.5 6 -23.5 6 -52.0 6 -62.0 6 -77.3 1 -52.3 1 -37.3 1 -19.0 6 -49.8 1 -59.8 1 -48.8 1 -23.8 1 -8.81 9.44 7.19 -31.3 1 -38.8 1 -13.8 1 1.19 19.44 17.19 -11.3 1
Upper Bou nd
46.31 61.31 79.56 77.31 48.81 38.81 -3.69 36.31 54.56 52.31 23.81 13.81 -18.6 9 6.31 39.56 37.31 8.81 -1.19 -36.9 4 -11.9 4 3.06 19.06 -9.44 -19.4 4 -34.6 9 -9.69 5.31 23.56 -7.19 -17.1 9 -6.19 18.81 33.81 52.06 49.81 11.31 3.81 28.81 43.81 62.06 59.81 31.31
4
58.25* 56.00*
5
6
27.50* 17.50
7
2
1 3
-25.0 0* 15.00
4
33.25* 31.00*
5
6
2.50 -7.50
7
3
1 2
-40.0 0* -15.0 0
4
18.25 16.00
5
6
-12.5 0 -22.5 0*
7
4
1 2
-58.2 5* -33.2 5*
3
-18.2 5 -2.25
5
6
-30.7 5* -40.7 5*
7
5
1 2
-56.0 0* -31.0 0*
3
-16.0 0 2.25
4
6
-28.5 0* -38.5 0*
7
6
1 2
-27.5 0* -2.50
3
12.50 30.75*
4
5
28.50* -10.0 0
7
7
1
-17.5 0 7.50
2
3
22.50* 40.75*
4
5
38.50* 10.00
6
The m ean differenee is significant at the .05 level.
LSD佥验结果表明，35C与25C, 20C, 15C的温度差异均达到极显著水平，与 10C, 5C的温度差异达到显著水平；
30C,
30C与20C, 15C的温度差异均达到极显著水平，与
35C, 25C的温度差异达到显著水平，与 10C, 5C的温度差异不显著； 25 C与35C的温度 差异达到极显著水平，与 30C, 20C, 15C, 5C的温度差异达显著水平，与 10C的温度差 异不显著；20C与35C, 30C, 10C, 5C的差异达到极显著水平，与 25C的
温度差异达到 显著水平，与15C的温度差异不显著；15C与35C, 30C, 5C的温度差异达到极显著水平， 与25 C, 10C的温度差异达到显著水平，与 20° C的差异不显著；10C与35 C, 20C, 15C 的温度差异达显著水平，与 30C, 25C, 5C的温度差异不显著；5C与20C, 15C的温度差 异达极显著，与35 C, 30C, 25C, 10C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，
定因素，可按固定模型进行分析，以原料作为因素
原料和发酵温度均为固
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 Betw een-Subjects Effects
Dependent Vabe：适宜的条件 Type III Sum
Source
Corrected Model Intercept FACTORX1 FACTORX2 Error Total
Corrected Total
a. R Squared = .656 (Adjusted R Squared = .612)
of Squares 4704.667 37636.000 3150.500 1554.167 2465.333 44806.000 7170.000
df
4
Mean Square 1176.167
F 14.790
Sig. .000 .000 .000 .001
1 37636.000 473.249 2 2 31
1575.250 777.083
19.808 9.771
79.527
36 35
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：
Multiple Com parisons
Dependent Variab适宜的条件
(I)原料(仁A1; 2=A2; 3=A3)
LSD
(J)原料(仁A1; Mean
2=A2; 3=A3) Difference (I-J) Std. .Error
95% Confidence Interval
Sig.
Lower Bound Upper Bound
1
1 2 3
-10.42* -15.83* 10.42*
3.641 3.641 3.641
.007 .000 .007
-17.84 -23.26 2.99
-2.99 -8.41 17.84
2
1 2 3
-5.42 15.83* 5.42
3.641 3.641 3.641
.147 .000 .147
-12.84 8.41 -2.01
2.01 23.26 12.84
3
1 2 3
Bonferroni 1
1 2 3
-10.42* -15.83* 10.42*
3.641 3.641 3.641
.022 .000 .022
-19.63 -25.05 1.20
-1.20 -6.62 19.63
2
1 2 3
-5.42 15.83* 5.42
3.641 3.641 3.641
.441 .000 .441
-14.63 6.62 -3.80
3.80 25.05 14.63
3
1 2 3
Based on observed means.
*. The mean difference is significant at the .05 level.
温度的检验:
Multiple Com paris ons Depe ndent Variable:适宜的条件
LSD
(I)温度(仁30°C;
2=35 °,3=40 C) 1 1
(J)温度(仁30°C; 2=35 °,3=40 C) Mean Differenee (I-J)
Std. Error
95% Con fide nee In terval
Sig. Lower Bound Upper Bound 9.00* 22.75* -9.00*
3.641 3.641 3.641
.019 .000 .019
1.57 15.32 -16.43
16.43 30.18 -1.57
13.75* -22.75* -13.75*
3.641 3.641 3.641
.001 .000 .001
6.32 -30.18 -21.18
21.18 -15.32 -6.32
3 1
2 3 1
9.00 22.75* -9.00
3.641 3.641 3.641
.057 .000 .057
Bonferroni 1 -.21 13.54 -18.21
18.21 31.96 .21
2
2 3 1 2
13.75* -22.75* -13.75*
3.641 3.641 3.641
.002 .000 .002
4.54 -31.96 -22.96
22.96 -13.54 -4.54
3
Based on observed mea ns.
*. The mean differe nee is sig ni fiea nt 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
A,温度选30C。