Depressed patients were randomly assigned to one of three groups: a placebo group, a group that...

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using excel>data >data analysis>two way anova

we have

Anova: Two-Factor With Replication

SUMMARY	Placebo	Moderate Dose	High Dose	Total
underweight
Count	2	2	2	6
Sum	94	41	27	162
Average	47	20.5	13.5	27
Variance	50	4.5	0.5	260.8

medweight
Count	2	2	2	6
Sum	82	52	31	165
Average	41	26	15.5	27.5
Variance	0	50	24.5	146.3

overweight
Count	2	2	2	6
Sum	72	31	10	113
Average	36	15.5	5	18.83333
Variance	18	112.5	50	234.9667

Total
Count	6	6	6
Sum	248	124	68
Average	41.33333	20.66667	11.33333
Variance	37.86667	55.46667	39.86667


ANOVA
Source of Variation	SS	df	MS	F	P-value	F crit
Factor A	284.1111	2	142.0556	4.124194	0.053546	4.256495
Factor B	2828.444	2	1414.222	41.05806	2.99E-05	4.256495
Interaction	71.88889	4	17.97222	0.521774	0.722608	3.633089
Within	310	9	34.44444

Total	3494.444	17

Fcrit values are 4.257 and 3.633
since p value of Factor B (weights) are less than 0.05 so we can say that there is a significant difference between the weights.
NO there a not significant interaction between weight and dosage because p value is greater than 0.05

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