QUESTION FOUR Five types of fertilizers are applied to four varieties of potatoes, each planted on five plots of the land of the same size and fertility. The yields (in quintals) are shown in the following table: Fertilizers 3 44 46 50 52 Potatoes A B с D i. ii. 34 50 42 38 iii. iv. 2 38 38 36 44 For the two-way analysis of variance model with one observation per cell, we write the observation from the group and block as 4 40 52 46 36 Y₂ = μ+ B₁ + ₁ + Sy (a) Explain each term in the above model in the context of the given information. (b) Consider the observation on fertilizer 3 and potato variety D (Y3 = 52). Estimate u Estimate and interpret B Estimate and interpret 7, Estimate 5p3 5 42 44 48 42 (c) Name the blocking variable and the treatment in this experiment (d) What is the purpose of the blocks in this experiment? (e) Prepare a two-way analysis of variance table. (f) Test at the 5% level whether the effects of fertilizers are significant on the yield of potatoes. (g) Test at the 5% level whether the effects of potato varieties are significant on the yield of potatoes.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
QUESTION FOUR
Five types of fertilizers are applied to four varieties of potatoes, each planted on five plots of the
land of the same size and fertility. The yields (in quintals) are shown in the following table:
Fertilizers
3
44
46
50
52
Potatoes
A
B
C
D
i.
ii.
1
34
50
42
38
2
38
38
36
44
Estimate and interpret r,
Estimate p
4
40
52
46
36
For the two-way analysis of variance model with one observation per cell, we write the
observation from the j" group and block as
Y₁ = μ + B₁ +₁ +6
(a) Explain each term in the above model in the context of the given information.
(b) Consider the observation on fertilizer 3 and potato variety D (Yps = 52).
Estimate
Estimate and interpret B₁
5
42
44
48
42
iv.
(c) Name the blocking variable and the treatment in this experiment
(d) What is the purpose of the blocks in this experiment?
(e) Prepare a two-way analysis of variance table.
(f) Test at the 5% level whether the effects of fertilizers are significant on the yield of potatoes.
(g) Test at the 5% level whether the effects of potato varieties are significant on the yield of
potatoes.
Transcribed Image Text:QUESTION FOUR Five types of fertilizers are applied to four varieties of potatoes, each planted on five plots of the land of the same size and fertility. The yields (in quintals) are shown in the following table: Fertilizers 3 44 46 50 52 Potatoes A B C D i. ii. 1 34 50 42 38 2 38 38 36 44 Estimate and interpret r, Estimate p 4 40 52 46 36 For the two-way analysis of variance model with one observation per cell, we write the observation from the j" group and block as Y₁ = μ + B₁ +₁ +6 (a) Explain each term in the above model in the context of the given information. (b) Consider the observation on fertilizer 3 and potato variety D (Yps = 52). Estimate Estimate and interpret B₁ 5 42 44 48 42 iv. (c) Name the blocking variable and the treatment in this experiment (d) What is the purpose of the blocks in this experiment? (e) Prepare a two-way analysis of variance table. (f) Test at the 5% level whether the effects of fertilizers are significant on the yield of potatoes. (g) Test at the 5% level whether the effects of potato varieties are significant on the yield of potatoes.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 7 steps

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman