※ 引述《chris729 (Chris*_*)》之铭言： : 虽然说考试是用excel@@ : 可是还是想问问看有没有同学有11课之後的解答 : (罗竹平那班的) : 还有....不知道有没有同学....... : 知道 : Two way anova的题目 : 有没有可能有 intersection没被拒绝 : 而row跟column 同时会被reject的可能呢?? (课本有个例图有点像这种情形) : (课本只有比较详细说如果intersection被拒绝就不用讨论其他两个) : 希望知道的同学能帮帮忙>< (不知道在这问这个恰不恰当...sorry) 1.不知课本是哪一本？？ 2.Two way anova的题目 : 有没有可能有 intersection没被拒绝 : 而row跟column 同时会被reject的可能呢?? 有可能，因为Row 或是 Column 的F统计量是在检定 Row main factor 或是 Column main factor 在个别水准之下，抽样的结果是否『不拒绝母体平均在该因子下，各水准平均相同』 的虚无假设 但是，Intersection Effect的F统计量则是在检定：『Row factor及Column factor 是否有相互影响的效果』 请看以下范例： As an example, let's assume we're planting corn. The type of seed and type of fertilizer are the two factors we're considering in this example. This example has 15 treatment groups. There are 3-1=2 degrees of freedom for the type of seed, and 5-1=4 degrees of freedom for the type of fertilizer. There are 2*4 = 8 degrees of freedom for the interaction between the type of seed and type of fertilizer. Theq data that actually appears in the table are samples. In this case, 2 samples from each treatment group were taken. Fert I Fert II Fert III Fert IV Fert V Seed A-402 106, 110 95, 100 94, 107 103, 104 100, 102 Seed B-894 110, 112 98, 99 100, 101 108, 112 105, 107 Seed C-952 94, 97 86, 87 98, 99 99, 101 94, 98 种植玉米的实验设计：有两个主要因子：Row factor:肥料（5种level) ; Column factor: 种子(3种level) 所以总共有5x3=15种treatments，而每一个treatment抽取2个样本 所以总样本N=5x3x2=30 这个实验设计的Two-Way ANOVA Table如下 Source of Variation SS df MS F P-value F-crit Seed 512.8667 2 256.4333 28.283 0.000008 3.682 Fertilizer 449.4667 4 112.3667 12.393 0.000119 3.056 Interaction 143.1333 8 17.8917 1.973 0.122090 2.641 Within 136.0000 15 9.0667 Total 1241.4667 29 From the above results, we can see that the main effects are both significant, but the interaction between them isn't. That is, the types of seed aren't all equal, and the types of fertilizer aren't all equal, but the type of seed doesn't interact with the type of fertilizer. 从这个表可知：玉米产量会因种子的不同而有所差异，肥料的不同也会使得玉米产量有所 差异，但是不同种子所生产的玉米产量不会明显受到不同肥料的影响 就是这样 --

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