Question

You can assume that the data followed all three assumptions for ANOVA analysis, namely, independence, equal variance, and normality.

Placebo	Dose2	Dose5
4.3	3.7	1.3
9.1	3.5	1
6.1	5.2	0.7
4.7	9.3	1.2
4.1	6.7	1.3
7.8	5.2	1.6
5.7	4.1	2.4
5.8	5.3	1.9

Here is my ANOVA table

SUMMARY
Groups	Count	Mean	Std Dev
Placebo	8	5.95	1.74
Dose2	8	5.375	1.90
Dose5	8	1.425	0.53
Results
Source of Variation	SS	df	MS	F	P-value
Between	97.41	2	48.790	7.74	0.0030
Error	132.21	21	6.30
Total	229.62	23

ANOVA
Source of Variation	SS	df	MS	F	P-value
Between	97.09	2	48.545	21.09342	9.48E-06
Error	48.33	21	2.301429
Total	145.42	23

For Drug X, which dose level appeared to be better in regard to anti-tumor efficacy? [You must provide the key statistical evidence to support your decision; otherwise, you will lose some points.] [6 points] [Pay attention to my assumption about this data set: independence, equal variance, and normality]

The p-value of 0.0000 is smaller than the significant difference in the mean response index with a significance level of p<0.05. Dose 5 is statistically significant with Dose 2 and Placebo. Dose 5 level appeared to be better in regard to anti-tumor efficacy.

Answer 1

here 1st anova for dose 2 and 2nd anova is for dose 5 so pvalue for 2nd anova is almost 0 so that more significant which tells us that dose 5 level is better for anti tumor efficacy.