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 0.01?

wk 1 |
wk 2 |
wk 3 |

11 10 13 10 15 17 10 |
24 26 20 29 19 14 21 |
27 38 37 22 18 30 24 |

**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

.

**e)** Regardless of the *H*_{0}
decision in **b)**, conduct Tukey's post hoc test for
the following comparisons:

2 vs. 3: difference = ______________ ;
significant: ---Select--- Yes No

1 vs. 2: difference = ______________ ;
significant: ---Select--- Yes No

**f)** Regardless of the *H*_{0}
decision in **b)**, conduct Scheffe's post hoc test
for the following comparisons:

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

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

Answer #1

ANOVA | ||||||

Source of Variation | SS | df | MS | F | P-value | F crit |

Between Groups | 878.000 | 2 | 439.000 | 14.845 | 0.0002 | 6.01 |

Within Groups | 532.286 | 18 | 29.571 | |||

Total | 1410.286 | 20 |

B) CRITICAL VALUE = 6.01

test stat = 14.845

decision: reject Ho

c) eta square ,effect size = SSbet/SST= 0.6226 (large)

d)

2 vs. 3: difference = _____6.14_________ ;
significant: No

1 vs. 2: difference = ______9.57________ ; significant:
YES

e)

Test statistic, F'= (X̅I -
X̅j)²/(MSE*√(1ni+1/nj))

1 vs. 3: test statistic = ____45.93__________ ; significant:
YES

2 vs. 3: test statistic =________7.018______ ;
significant: YES

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...

A department store supervisor is concerned about customer
service. To check if this is an issue, the supervisor randomly
selected a sample of clerks from stores at three different
locations (A, B, C). Then the supervisor records the number of
returns associated with each clerk for a month. What can the
supervisor conclude with α = 0.01?
A
B
C
8
10
7
9
11
12
14
10
8
7
7
10
b) Obtain/compute the appropriate values to make a...

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 =
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before
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session 2
9
6
8
2
8
6
9
6...

A college dean is interested in the performance of students in a
English course. After the final, students are randomly selected
from three different sections of the English course. What can be
conclude with an α of 0.01? The data are below.
section 1
section 2
section 3
84
68
74
65
90
75
64
77
40
78
69
90
82
82
77
75
82
81
91
70
90
82
94
81
87
82
72
77
81
87
67
86...

A college dean is interested in the performance of students in a
English course. After the final grade, students are randomly
selected from three different sections of the English course. What
can be conclude with an α of 0.01? The data are below.
section 1
section 2
section 3
84
68
74
65
90
75
64
77
40
78
69
90
82
82
77
75
82
81
91
70
90
82
94
81
87
82
72
77
81
87
67...

Application Exercise:
Researchers gave a family planning survey was given to the head(s)
of household in a local community. In particular, one question
asked the head(s) of households to indicate if they think the
community has a great, some, or no need of family planning
counseling. In addition, they were asked to indicate how many
children are in the household. Researchers want to know if the
number of children in the household is impacted by family planning
counseling. What can...

Researchers gave a family planning survey was given to the
head(s) of household in a local community. In particular, one
question asked the head(s) of households to indicate if they think
the community has a great, some, or no need of family planning
counseling. In addition, they were asked to indicate how many
children are in the household. Researchers want to know if the
number of children in the household is impacted by family planning
counseling. What can they conclude...

Application Exercise:
A team of researchers recruited a random sample of migraine
sufferers. Before the study began at baseline, participants were
asked to record the duration of headaches they experienced in a
week. A few days later, all participants were asked to practice a
week-long relaxation technique designed to reduce migraine
headaches. A two-week off period in which the participants
practiced nothing was given between the relaxation technique.
Throughout the relaxation technique participants were asked to
record the duration of...

A college dean is interested in the quiz performance of students
in a English course. After the final exam, students are randomly
selected from three different sections of the English course. What
can be conclude with an α of 0.01? The data are below.
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
77
81
87...

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