Question

construct an AOV table including expected mean squares in R studio

A study was designed to evaluate the effectiveness of new treatments to reduce the systolic blood pressure of patients determined to have high blood pressure. Three drugs were selected for evaluation. There are numerous nondrug treatments for reducing blood pressure including various combinations of a controlled diet, exercise programs, biofeedback and so on. the researchers randomly selected three non drug treatments for examination in the study. The age of the patient often may hinder the effectiveness of any treatment. Thus, patients with high BP were divided into two age groups. A group of 54 patients was divided into the two age groups and then randomly assigned to a combination of one of the three drugs and one of the three non drug treatments. After patients had participated in the program for 2 months, the reduction so their systolic blood pressure readings were recorded.

This is nested, drug is fixed and non drug and age are random

Reduction	Drug	Nondrug	Age
33	D1	ND1	A1
34	D1	ND1	A1
35	D1	ND1	A1
46	D2	ND1	A1
45	D2	ND1	A1
46	D2	ND1	A1
38	D3	ND1	A1
34	D3	ND1	A1
37	D3	ND1	A1
37	D1	ND2	A1
38	D1	ND2	A1
36	D1	ND2	A1
44	D2	ND2	A1
48	D2	ND2	A1
49	D2	ND2	A1
45	D3	ND2	A1
45	D3	ND2	A1
44	D3	ND2	A1
41	D1	ND3	A1
42	D1	ND3	A1
39	D1	ND3	A1
43	D2	ND3	A1
44	D2	ND3	A1
45	D2	ND3	A1
36	D3	ND3	A1
37	D3	ND3	A1
35	D3	ND3	A1
34	D1	ND1	A2
33	D1	ND1	A2
38	D1	ND1	A2
47	D2	ND1	A2
49	D2	ND1	A2
45	D2	ND1	A2
36	D3	ND1	A2
39	D3	ND1	A2
35	D3	ND1	A2
48	D1	ND2	A2
46	D1	ND2	A2
45	D1	ND2	A2
44	D2	ND2	A2
48	D2	ND2	A2
46	D2	ND2	A2
46	D3	ND2	A2
47	D3	ND2	A2
44	D3	ND2	A2
44	D1	ND3	A2
46	D1	ND3	A2
49	D1	ND3	A2
44	D2	ND3	A2
46	D2	ND3	A2
41	D2	ND3	A2
38	D3	ND3	A2
36	D3	ND3	A2
35	D3	ND3	A2

Answer 1

R code and explanation is given below