某企业在制定广告策略时

5. 某企业在制定某商品的广告策略时，收集了该商品在不同地区采用不同广告形式促销后

的销售额数据，希望对广告形式和地区是否对商品销售额产生影响进行分析， a) 以商品销售额为因变量，广告形式和地区为自变量，通过单因素方差分析方法分别

对广告形式、地区对销售额的影响进行分析；

b) 试进一步分析，究竟哪种广告形式的作用较明显，哪种不明显，以及销售额和地区

之间的关系等。

c) 试分析广告形式、地区以及两者的交互作用是否对商品销售额产生影响。 （数据见练习2数据.xls—练习2.5，其中广告形式为：1. 报纸； 2. 广播； 3. 宣传品； 4. 体验） 答： (a)

i以广告形式为自变量时，

H0:广告形式对销售额没有差异 H1：广告形式对销售额有差异

?? 0.05

通过SPSS分析可以得到下面的结论

F分布值为2.6693

本题所计算的结果13.483>2.6693 决策：拒绝H0

结论：有显著证据表明，广告形式对销售额有显著差异 ii以地区为自变量时

H0 :地区对销售额没有影响 H1 ：地区对销售额有影响

构造检验统计量

将数据导入SPSS进行单因素相关性分析

F分布值为1.7044 因为F>P=1.704 决策：拒绝H0

结论：有显著证据表明，地区对销售额有影响 b) （i）

下面计算广告形式的影响 主要通过LSD来比较

使用matlab计算t分布值为： >> tinv(0.025,140) ans =-1.9771

LSD?t?MSE(211?)?1.977*145.023*2/36?5.61 ninj现在构造假设检验量：xi?xj

提出假设：H0 :第i中广告形式的和第j种广告形式对销量没有显著性差异

H1 ：第i中广告形式的和第j种广告形式对销量有显著性差异

结论：

第1种广告形式和第2种广告形式的销量没有显著差异 第1种广告形式和第3种广告形式的销量有显著差异 第1种广告形式和第4种广告形式的销量有显著差异 第2种广告形式和第3种广告形式的销量有显著差异 第2种广告形式和第4种广告形式的销量没有显著差异 第3种广告形式和第4种广告形式的销量有显著差异 而且从均值图分析可以看出来，第1种广告形式对增加销量影响显著，第3种对于减少销量影响显著。

（ii）下面分析区域对于销量的影响

提出假设：H0 :第i区域的和第j区域对销量没有显著性差异

H1 ：第i区域和第j区域对销量有显著性差异

显著性水平为95% 自由度为126 >> tinv(0.025,126) ans = -1.9790

LSD = 1.979*1.979*134.159(?)?11.46

决策：当|xi?xj |>LSD时，拒绝H0 ,当|xi?xj |

1188使用SPSS软件的LSD分析可以得到下表

多重比较

因变量: VAR00015 LSD

(I) VAR00011 (J) VAR00011

均值差 标准误 显著性 95% 置信区间 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00

1.00

10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 1.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00

2.00

10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00

(I-J)

-4.37500 -21.00000*

-19.25000* -12.62500* -6.37500 1.25000 -13.37500* 2.37500 -17.75000* 7.75000 -9.75000 -7.00000 -4.12500 -7.00000 -9.25000 6.12500 -8.37500 4.37500 -16.62500* -14.87500* -8.25000 -2.00000 5.62500 -9.00000 6.75000 -13.37500* 12.12500* -5.37500 -2.62500 .25000 -2.62500 -4.87500 10.50000 -4.00000 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 下限

.451 -15.8359 .000 -32.4609 .001 -30.7109 .031 -24.0859 .273 -17.8359 .829 -10.2109 .023 -24.8359 .682 -9.0859 .003 -29.2109 .183 -3.7109 .095 -21.2109 .229 -18.4609 .478 -15.5859 .229 -18.4609 .113 -20.7109 .292 -5.3359 .151 -19.8359 .451 -7.0859 .005 -28.0859 .011 -26.3359 .157 -19.7109 .730 -13.4609 .333 -5.8359 .123 -20.4609 .246 -4.7109 .023 -24.8359 .038 .6641 .355 -16.8359 .651 -14.0859 .966 -11.2109 .651 -14.0859 .402 -16.3359 .072 -.9609 .491 -15.4609 上限 7.0859 -9.5391 -7.7891 -1.1641 5.0859 12.7109 -1.9141 13.8359 -6.2891 19.2109 1.7109 4.4609 7.3359 4.4609 2.2109 17.5859 3.0859 15.8359 -5.1641 -3.4141 3.2109 9.4609 17.0859 2.4609 18.2109 -1.9141 23.5859 6.0859 8.8359 11.7109 8.8359 6.5859 21.9609 7.4609 1.00 2.00 4.00 5.00 6.00 7.00 8.00 9.00

3.00

10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 1.00 2.00 3.00 5.00 6.00 7.00 8.00 9.00

4.00

10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 1.00 2.00 3.00 4.00

5.00

6.00 7.00 8.00 9.00 10.00

21.00000*

16.62500*

1.75000 8.37500 14.62500* 22.25000* 7.62500 23.37500* 3.25000 28.75000* 11.25000 14.00000* 16.87500* 14.00000* 11.75000* 27.12500* 12.62500* 19.25000* 14.87500* -1.75000 6.62500 12.87500* 20.50000* 5.87500 21.62500* 1.50000 27.00000* 9.50000 12.25000* 15.12500* 12.25000* 10.00000 25.37500* 10.87500 12.62500* 8.25000 -8.37500 -6.62500 6.25000 13.87500* -.75000 15.00000* -5.12500 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 .000 9.5391 .005 5.1641 .763 -9.7109 .151 -3.0859 .013 3.1641 .000 10.7891 .190 -3.8359 .000 11.9141 .576 -8.2109 .000 17.2891 .054 -.2109 .017 2.5391 .004 5.4141 .017 2.5391 .045 .2891 .000 15.6641 .031 1.1641 .001 7.7891 .011 3.4141 .763 -13.2109 .255 -4.8359 .028 1.4141 .001 9.0391 .312 -5.5859 .000 10.1641 .796 -9.9609 .000 15.5391 .103 -1.9609 .036 .7891 .010 3.6641 .036 .7891 .087 -1.4609 .000 13.9141 .063 -.5859 .031 1.1641 .157 -3.2109 .151 -19.8359 .255 -18.0859 .283 -5.2109 .018 2.4141 .897 -12.2109 .011 3.5391 .378 -16.5859 32.4609 28.0859 13.2109 19.8359 26.0859 33.7109 19.0859 34.8359 14.7109 40.2109 22.7109 25.4609 28.3359 25.4609 23.2109 38.5859 24.0859 30.7109 26.3359 9.7109 18.0859 24.3359 31.9609 17.3359 33.0859 12.9609 38.4609 20.9609 23.7109 26.5859 23.7109 21.4609 36.8359 22.3359 24.0859 19.7109 3.0859 4.8359 17.7109 25.3359 10.7109 26.4609 6.3359

11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 1.00 2.00 3.00 4.00 5.00 7.00 8.00 9.00

6.00

10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 1.00 2.00 3.00 4.00 5.00 6.00 8.00 9.00

7.00

10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00

8.00

1.00

20.37500*

2.87500 5.62500 8.50000 5.62500 3.37500 18.75000*

4.25000 6.37500 2.00000 -14.62500* -12.87500* -6.25000 7.62500 -7.00000 8.75000 -11.37500 14.12500* -3.37500 -.62500 2.25000 -.62500 -2.87500 12.50000* -2.00000 -1.25000 -5.62500 -22.25000* -20.50000* -13.87500* -7.62500 -14.62500* 1.12500 -19.00000* 6.50000 -11.00000 -8.25000 -5.37500 -8.25000 -10.50000 4.87500 -9.62500 13.37500* 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 .001 8.9141 .620 -8.5859 .333 -5.8359 .145 -2.9609 .333 -5.8359 .561 -8.0859 .002 7.2891 .464 -7.2109 .273 -5.0859 .730 -9.4609 .013 -26.0859 .028 -24.3359 .283 -17.7109 .190 -3.8359 .229 -18.4609 .133 -2.7109 .052 -22.8359 .016 2.6641 .561 -14.8359 .914 -12.0859 .698 -9.2109 .914 -12.0859 .620 -14.3359 .033 1.0391 .730 -13.4609 .829 -12.7109 .333 -17.0859 .000 -33.7109 .001 -31.9609 .018 -25.3359 .190 -19.0859 .013 -26.0859 .846 -10.3359 .001 -30.4609 .264 -4.9609 .060 -22.4609 .157 -19.7109 .355 -16.8359 .157 -19.7109 .072 -21.9609 .402 -6.5859 .099 -21.0859 .023 1.9141 31.8359 14.3359 17.0859 19.9609 17.0859 14.8359 30.2109 15.7109 17.8359 13.4609 -3.1641 -1.4141 5.2109 19.0859 4.4609 20.2109 .0859 25.5859 8.0859 10.8359 13.7109 10.8359 8.5859 23.9609 9.4609 10.2109 5.8359 -9.0391 -2.4141 3.8359 -3.1641 12.5859 -7.5391 17.9609 .4609 3.2109 6.0859 3.2109 .9609 16.3359 1.8359 24.8359 -10.7891 2.00 3.00 4.00 5.00 6.00 7.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00

9.00

10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 1.00 2.00 3.00 4.00

10.00

5.00 6.00 7.00 8.00 9.00 11.00

9.00000 -7.62500 -5.87500 .75000 7.00000 14.62500*

15.75000* -4.37500 21.12500* 3.62500 6.37500 9.25000 6.37500 4.12500 19.50000* 5.00000 -2.37500 -6.75000 -23.37500* -21.62500* -15.00000* -8.75000 -1.12500 -15.75000* -20.12500* 5.37500 -12.12500* -9.37500 -6.50000 -9.37500 -11.62500* 3.75000 -10.75000 17.75000* 13.37500* -3.25000 -1.50000 5.12500 11.37500 19.00000* 4.37500 20.12500* 25.50000* 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 .123 -2.4609 .190 -19.0859 .312 -17.3359 .897 -10.7109 .229 -4.4609 .013 3.1641 .007 4.2891 .451 -15.8359 .000 9.6641 .532 -7.8359 .273 -5.0859 .113 -2.2109 .273 -5.0859 .478 -7.3359 .001 8.0391 .390 -6.4609 .682 -13.8359 .246 -18.2109 .000 -34.8359 .000 -33.0859 .011 -26.4609 .133 -20.2109 .846 -12.5859 .007 -27.2109 .001 -31.5859 .355 -6.0859 .038 -23.5859 .108 -20.8359 .264 -17.9609 .108 -20.8359 .047 -23.0859 .518 -7.7109 .066 -22.2109 .003 6.2891 .023 1.9141 .576 -14.7109 .796 -12.9609 .378 -6.3359 .052 -.0859 .001 7.5391 .451 -7.0859 .001 8.6641 .000 14.0391 20.4609 3.8359 5.5859 12.2109 18.4609 26.0859 27.2109 7.0859 32.5859 15.0859 17.8359 20.7109 17.8359 15.5859 30.9609 16.4609 9.0859 4.7109 -3.5391 2.7109 10.3359 -4.2891 -8.6641 16.8359 -.6641 2.0859 4.9609 2.0859 -.1641 15.2109 .7109 29.2109 24.8359 8.2109 9.9609 16.5859 22.8359 30.4609 15.8359 31.5859 36.9609 -11.9141 -10.1641 12.00 13.00 14.00 15.00 16.00 17.00 18.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00

11.00

9.00 10.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00

12.00

9.00 10.00 11.00 13.00 14.00 15.00 16.00 17.00 18.00

13.00

1.00 2.00

8.00000 10.75000 13.62500*

10.75000 8.50000 23.87500* 9.37500 -7.75000 -12.12500* -28.75000* -27.00000* -20.37500* -14.12500* -6.50000 -21.12500* -5.37500 -25.50000* -17.50000* -14.75000* -11.87500* -14.75000* -17.00000* -1.62500 -16.12500* 9.75000 5.37500 -11.25000 -9.50000 -2.87500 3.37500 11.00000 -3.62500 12.12500* -8.00000 17.50000* 2.75000 5.62500 2.75000 .50000 15.87500* 1.37500 7.00000 2.62500 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 .170 -3.4609 .066 -.7109 .020 2.1641 .066 -.7109 .145 -2.9609 .000 12.4141 .108 -2.0859 .183 -19.2109 .038 -23.5859 .000 -40.2109 .000 -38.4609 .001 -31.8359 .016 -25.5859 .264 -17.9609 .000 -32.5859 .355 -16.8359 .000 -36.9609 .003 -28.9609 .012 -26.2109 .042 -23.3359 .012 -26.2109 .004 -28.4609 .779 -13.0859 .006 -27.5859 .095 -1.7109 .355 -6.0859 .054 -22.7109 .103 -20.9609 .620 -14.3359 .561 -8.0859 .060 -.4609 .532 -15.0859 .038 .6641 .170 -19.4609 .003 6.0391 .636 -8.7109 .333 -5.8359 .636 -8.7109 .931 -10.9609 .007 4.4141 .813 -10.0859 .229 -4.4609 .651 -8.8359 19.4609 22.2109 25.0859 22.2109 19.9609 35.3359 20.8359 3.7109 -.6641 -8.9141 -2.6641 4.9609 -9.6641 6.0859 -6.0391 -3.2891 -.4141 -3.2891 -5.5391 9.8359 -4.6641 21.2109 16.8359 .2109 1.9609 8.5859 14.8359 22.4609 7.8359 23.5859 3.4609 28.9609 14.2109 17.0859 14.2109 11.9609 27.3359 12.8359 18.4609 14.0859 -17.2891 -15.5391 -14.0391 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 14.00 15.00 16.00 17.00 18.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00

14.00

9.00 10.00 11.00 12.00 13.00 15.00 16.00 17.00 18.00 1.00 2.00 3.00 4.00 5.00

15.00

6.00 7.00 8.00 9.00 10.00 11.00

-14.00000*

-12.25000*

-5.62500 .62500 8.25000 -6.37500 9.37500 -10.75000 14.75000* -2.75000 2.87500 .00000 -2.25000 13.12500* -1.37500 4.12500 -.25000 -16.87500* -15.12500* -8.50000 -2.25000 5.37500 -9.25000 6.50000 -13.62500* 11.87500* -5.62500 -2.87500 -2.87500 -5.12500 10.25000 -4.25000 7.00000 2.62500 -14.00000* -12.25000* -5.62500 .62500 8.25000 -6.37500 9.37500 -10.75000 14.75000* 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 .017 -25.4609 .036 -23.7109 .333 -17.0859 .914 -10.8359 .157 -3.2109 .273 -17.8359 .108 -2.0859 .066 -22.2109 .012 3.2891 .636 -14.2109 .620 -8.5859 -11.4609 .698 -13.7109 .025 1.6641 .813 -12.8359 .478 -7.3359 .966 -11.7109 .004 -28.3359 .010 -26.5859 .145 -19.9609 .698 -13.7109 .355 -6.0859 .113 -20.7109 .264 -4.9609 .020 -25.0859 .042 .4141 .333 -17.0859 .620 -14.3359 .620 -14.3359 .378 -16.5859 .079 -1.2109 .464 -15.7109 .229 -4.4609 .651 -8.8359 .017 -25.4609 .036 -23.7109 .333 -17.0859 .914 -10.8359 .157 -3.2109 .273 -17.8359 .108 -2.0859 .066 -22.2109 .012 3.2891 -2.5391 -.7891 5.8359 12.0859 19.7109 5.0859 20.8359 .7109 26.2109 8.7109 14.3359 11.4609 9.2109 24.5859 10.0859 15.5859 11.2109 -5.4141 -3.6641 2.9609 9.2109 16.8359 2.2109 17.9609 -2.1641 23.3359 5.8359 8.5859 8.5859 6.3359 21.7109 7.2109 18.4609 14.0859 -2.5391 -.7891 5.8359 12.0859 19.7109 5.0859 20.8359 .7109 26.2109 1.000 12.00 13.00 14.00 16.00 17.00 18.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00

16.00

9.00 10.00 11.00 12.00 13.00 14.00 15.00 17.00 18.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00

17.00

9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 18.00 1.00

18.00

2.00 3.00

-2.75000 .00000 2.87500 -2.25000 13.12500*

-1.37500 9.25000 4.87500 -11.75000* -10.00000 -3.37500 2.87500 10.50000 -4.12500 11.62500* -8.50000 17.00000* -.50000 2.25000 5.12500 2.25000 15.37500* .87500 -6.12500 -10.50000 -27.12500* -25.37500* -18.75000* -12.50000* -4.87500 -19.50000* -3.75000 -23.87500* 1.62500 -15.87500* -13.12500* -10.25000 -13.12500* -15.37500* -14.50000* 8.37500 4.00000 -12.62500* 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 .636 -14.2109 1.000 -11.4609 .620 -8.5859 .698 -13.7109 .025 1.6641 .813 -12.8359 .113 -2.2109 .402 -6.5859 .045 -23.2109 .087 -21.4609 .561 -14.8359 .620 -8.5859 .072 -.9609 .478 -15.5859 .047 .1641 .145 -19.9609 .004 5.5391 .931 -11.9609 .698 -9.2109 .378 -6.3359 .698 -9.2109 .009 3.9141 .880 -10.5859 .292 -17.5859 .072 -21.9609 .000 -38.5859 .000 -36.8359 .002 -30.2109 .033 -23.9609 .402 -16.3359 .001 -30.9609 .518 -15.2109 .000 -35.3359 .779 -9.8359 .007 -27.3359 .025 -24.5859 .079 -21.7109 .025 -24.5859 .009 -26.8359 .014 -25.9609 .151 -3.0859 .491 -7.4609 .031 -24.0859 8.7109 11.4609 14.3359 9.2109 24.5859 10.0859 20.7109 16.3359 -.2891 1.4609 8.0859 14.3359 21.9609 7.3359 23.0859 2.9609 28.4609 10.9609 13.7109 16.5859 13.7109 26.8359 12.3359 5.3359 .9609 -7.2891 -1.0391 6.5859 -8.0391 7.7109 13.0859 -4.4141 -1.6641 1.2109 -1.6641 -3.9141 -3.0391 19.8359 15.4609 -1.1641 -15.6641 -13.9141 -12.4141

4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00

*. 均值差的显著性水平为 0.05。

-10.87500 -4.25000 2.00000 9.62500 -5.00000 10.75000 -9.37500 16.12500 -1.37500 1.37500 4.25000 1.37500 -.87500 14.50000 **

5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 5.79135 .063 .464 .730 .099 .390 .066 .108 .006 .813 .813 .464 .813 .880 .014 -22.3359 -15.7109 -9.4609 -1.8359 -16.4609 -.7109 -20.8359 4.6641 -12.8359 -10.0859 -7.2109 -10.0859 -12.3359 3.0391 .5859 7.2109 13.4609 21.0859 6.4609 22.2109 2.0859 27.5859 10.0859 12.8359 15.7109 12.8359 10.5859 25.9609

2共有C18?153 种决策要做。依据上面给的决策建议做出相应的决策（拒绝H0或者不拒绝

H0）

结论：分为两种情况，当拒绝H0时，则有显著证据表明区域对销量有着显著性差异； 当不拒绝H0时，则没有显著证据表明这区域对销量有着显著性差异区域3和区域10对于对于增加销量的影响显著，而区域11和区域17则对于减少销量影响显著。 (c)多因素方差分析

H0: 不同广告形式没有对销售额产生显著影响;不同地区的销售额没有显著性差异；

广告形式和地区的交互作用对销售额产生显著的交互影响

H1: 不同广告形式对销售额产生了显著的影响；不同区域对销售额有显著性的影响

广告形式和地区的交互作用没有产生了显著的交互影响 通过SPSS分析可以得到下面的结果

而根据双因素方差分析，r=4,s=18,t=2(2次重复)

F0.95(51,72)=1.5222

结论：

FA? 6.459 > 1.52;拒绝原假设H0 ,说明区域对销售额有显著性影响 FB? 23.175>1.52;拒绝假设H0 , 说明广告形式对销售额有显著性影响

FAB? 1.15<1.52;不拒绝假设H0，没有足够证据表明广告形式和地区对销售额产生了显著

的交互影响。

本文来源：https://www.bwwdw.com/article/203g.html