(a) For a corrosion experiment, α₁ = 4, α₂ = 0, α3 = α4 = -2, a3 a4 a1 first = second ß =
(a) For a corrosion experiment, α₁ = 4, α₂ = 0, α3 = α4 = -2, a3 a4 a1 first = second ß =
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
Related questions
Question
![Power = 1 - B
.98
.97
.96
95
.94
1.92
.90
.80
.70
.30
.10
= 43
Fa=.05.
1
(for a = .01)-1
2
PANJANIT
Brand of Pen
TWITT
Power curves for the ANOVA F test (v₁ = 4)
(a) For a corrosion experiment, 12 pieces of pipe are selected with each piece coated with one of the four coatings and buried in one of three types of soil for a fixed time. Find ß when
α₁ = 4₁ α₂ = 0₁ α3 = 4 = -2, and a = 4. Repeat for a₁ = 6, α₂ = 0, α3 = 4 = -3, and a = 4. (Use a = 0.01. Enter your answers to two decimal places.)
first =
second 3=
(b) Consider the following data from an experiment to compare three different brands of pens and four different wash treatments with respect to their ability to remove marks on a particula
type of fabrict. The response variable is a quantitative indicator of overall specimen color change, the lower this value, the more marks were removed.
1
3+ (for a = .05)
2
3
2
3
Total
Average
a = .01
Washing Treatment
3
Total Average
2.39 0.598
0.345
0.455
1
0.97
2
4
0.48 0.48 0.46
0.77
0.22
0.14
0.25 1.38
0.67 0.39 0.57 0.19 1.82
1.01
1.27 0.90 5.59
2.41
0.803 0.337 0.423
0.300
0.466
By symmetry, what is ß for the test of Hos versus Has when ß₁ = 0.3, ß₂ = 3 =B4 = -0.1, and a = 0.3? (Use a = 0.01. Enter your answer to two decimal places.)
B =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F379782e3-36e2-4b06-9a33-e2601af30423%2F6e2fd3b4-62c6-4b63-bb71-d4ed2b6fd27a%2F4kd3ajk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Power = 1 - B
.98
.97
.96
95
.94
1.92
.90
.80
.70
.30
.10
= 43
Fa=.05.
1
(for a = .01)-1
2
PANJANIT
Brand of Pen
TWITT
Power curves for the ANOVA F test (v₁ = 4)
(a) For a corrosion experiment, 12 pieces of pipe are selected with each piece coated with one of the four coatings and buried in one of three types of soil for a fixed time. Find ß when
α₁ = 4₁ α₂ = 0₁ α3 = 4 = -2, and a = 4. Repeat for a₁ = 6, α₂ = 0, α3 = 4 = -3, and a = 4. (Use a = 0.01. Enter your answers to two decimal places.)
first =
second 3=
(b) Consider the following data from an experiment to compare three different brands of pens and four different wash treatments with respect to their ability to remove marks on a particula
type of fabrict. The response variable is a quantitative indicator of overall specimen color change, the lower this value, the more marks were removed.
1
3+ (for a = .05)
2
3
2
3
Total
Average
a = .01
Washing Treatment
3
Total Average
2.39 0.598
0.345
0.455
1
0.97
2
4
0.48 0.48 0.46
0.77
0.22
0.14
0.25 1.38
0.67 0.39 0.57 0.19 1.82
1.01
1.27 0.90 5.59
2.41
0.803 0.337 0.423
0.300
0.466
By symmetry, what is ß for the test of Hos versus Has when ß₁ = 0.3, ß₂ = 3 =B4 = -0.1, and a = 0.3? (Use a = 0.01. Enter your answer to two decimal places.)
B =
![The power curves of the figures below can be used to obtain ß= P(type II error) for the F test in two-factor ANOVA. For fixed values of a₁, ₂,...,a,, the quantity p2 = (3/1) Ea, ²/0² is
computed. Then the figure corresponding to v₁ = I - 1 is entered on the horizontal axis at the value p, the power is read on the vertical axis from the curve labeled v₂ = (I-1)(J-1), and
B = 1-power.
Power 1-B
00
.98
97
96
95
94
1.92
<-.90
80
.70
.60
50
40
30
.10
Power 1-B
99
98
97
.96
95
94
1.92
-90
=
1
(for a = .01)-1
.80
.70
α = .05.
₁4:
2
a=.05
3-(for a = .05)
3
8
2
Power curves for the ANOVA F test (₁ = 3)
APININITELL
Ltd](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F379782e3-36e2-4b06-9a33-e2601af30423%2F6e2fd3b4-62c6-4b63-bb71-d4ed2b6fd27a%2Fjzp8nwa_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The power curves of the figures below can be used to obtain ß= P(type II error) for the F test in two-factor ANOVA. For fixed values of a₁, ₂,...,a,, the quantity p2 = (3/1) Ea, ²/0² is
computed. Then the figure corresponding to v₁ = I - 1 is entered on the horizontal axis at the value p, the power is read on the vertical axis from the curve labeled v₂ = (I-1)(J-1), and
B = 1-power.
Power 1-B
00
.98
97
96
95
94
1.92
<-.90
80
.70
.60
50
40
30
.10
Power 1-B
99
98
97
.96
95
94
1.92
-90
=
1
(for a = .01)-1
.80
.70
α = .05.
₁4:
2
a=.05
3-(for a = .05)
3
8
2
Power curves for the ANOVA F test (₁ = 3)
APININITELL
Ltd
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