Question

A sample of soy bean plots were divided into three equal groups in a completely randomized design, and each group received a different formulation of a selective weed killer (wk). The researchers measured the area of crop damage inflicted by each formulation. The aim is to choose the weed killer formulation that inflicts the least amount of crop damage. What can the researchers conclude with an α of 0.05?

wk 1 |
wk 2 |
wk 3 |

11 10 13 10 15 17 10 |
24 14 20 29 27 14 21 |
27 38 37 22 18 30 24 |

**a)** What is the appropriate test
statistic?

---Select--- na one-way ANOVA within-subjects ANOVA two-way
ANOVA

**b)** Obtain/compute the appropriate values to make a
decision about *H*_{0}.

critical value = ; test statistic
=

Decision: ---Select--- Reject H0 Fail to reject
H0

**c)** Compute the corresponding effect size(s) and
indicate magnitude(s).

η^{2} = ; ---Select--- na trivial
effect small effect medium effect large effect

**f)** Conduct Scheffe's Post Hoc Test for the
following comparisons:

1 vs. 3: test statistic = ;
significant: ---Select--- Yes No

1 vs. 2: test statistic = ;
significant: ---Select--- Yes No

Answer #1

**a)** What is the appropriate test
statistic?

one-way ANOVA

**b)** Obtain/compute the appropriate values to make a
decision about *H*_{0}.

critical value = 3.555 ; test statistic = 13.213

Decision: Reject H0

**c)** Compute the corresponding effect size(s) and
indicate magnitude(s).

η^{2} = 0.595; medium effect

**f)** Conduct Scheffe's Post Hoc Test for the
following comparisons:

1 vs. 3: test statistic = -5.123 ;
significant: No

1 vs. 2: test statistic = -2.934 ; significant: No

A sample of soy bean plots were divided into three equal groups
in a completely randomized design, and each group received a
different formulation of a selective weed killer (wk). The
researchers measured the area of crop damage inflicted by each
formulation. The aim is to choose the weed killer formulation that
inflicts the least amount of crop damage. What can the researchers
conclude with an α of 0.01?
wk 1
wk 2
wk 3
11
10
13
10
15...

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week before the first session and at each subsequent session. Below
are the anxiety scores for the participants. What can the
psychologist conclude with α = 0.01?
before
session 1
session 2
9
6
8
5
8
6
9
6...

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Researchers gave a family planning survey was given to the head(s)
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section 1
section 2
section 3
84
68
74
65
41
82
64
77
40
78
69
90
82
82
77
75
82
81
91
70
90
82
94
81
87
82
72
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81
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Application Exercise:
A team of comparative psychologists are interested in the maternal
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16...

Answer the within-subjects ANOVA questions using the data below.
Use α = 0.05.
1
2
3
4
53
49
47
48
51
34
44
44
39
36
34
39
30
41
46
42
39
47
36
34
47
37
35
30
27
33
28
31
a) Compute the preliminary statistics below.
SSBG = ; dfBG =
SSBS = ; dfBS =
SSE = ; dfE =
SST = ; dfT =
b) Compute the appropriate test statistic(s) to
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critical...

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A
B
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8
10
7
9
11
12
14
10
8
7
7
10
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In a study of memory process, rats were first presented with a
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Answer the one-way ANOVA questions using the data below. Use
α = 0.01.
1
2
3
4
53
49
47
45
51
34
44
44
25
36
34
39
30
12
46
42
49
37
36
34
47
25
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30
27
33
28
31
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