Reference no: EM13869958
Design and Analysis of Completely Randomized Design
I. Objectives:
At the end of the exercise, the student should be able to:
a. Identify the treatment, experimental units and response variable of an experiment laid in CRD;
b. State the linear model and define each component in terms of the given problem;
c. Analyze and interpret data from an experiment laid out in CRD; and
d. Implement appropriate analysis for CRD using SAS.
II. Methods:
PART A:
The leaves of certain plants in the genus Albizzia will fold and unfold in response to various light conditions. We have taken 15 different leaves and subjected them to red light such that all 15 leaves began to receive red light exactly at the same time and the red light was removed after 3 minutes. The amount of red light was held constant and equal across all leaves. After 3 minutes, the leaves were divided into three groups of five at random. The leaflet angles were then measured 30, 45 and 60 minutes after light exposure. Other than time elapsed from light exposure to leaflet angle measurement, the leaves were treated identically. The objective of the experiment is to test the hypothesis that time elapsed from exposure to measurement does not affect leaflet angle. Mean results from preliminary computations were 139.6 for 30, 113.6 for 45 and 122.4 for 60. Moreover, sum of squares for experimental error was 9417.6.
1. Specify the treatment, experimental unit and response variable for this experiment.
2. What are the sources of variation in this experiment laid out in CRD?
3. Perform a possible randomization to allocate 5 leaves each to the treatment levels;
SV
|
df
|
SS
|
MS
|
Fc
|
F-tab
|
Decision
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Total
|
|
|
|
|
|
|
4. Given results from preliminary computations, construct the ANOVA table using the format below.
PART B:
Scientists are interested in whether energy costs involved in reproduction affect longevity. In this experiment, 125 male fruit flies were grouped at random into five sets of 25. In one group, the males were kept by themselves. In two groups, the males were supplied with one or eight receptive virgin female fruit flies per day. In the other two groups, the males were supplied with one or eight unreceptive (pregnant) female fruit flies per day. The longevity of the flies (in days) was observed. Analyze the data shown below to test the null hypothesis that reproductive activity does not affect longevity.
Companion
|
Longevity (days)
|
none
|
35
|
37
|
49
|
46
|
63
|
39
|
46
|
56
|
63
|
65
|
56
|
65
|
70
|
|
63
|
65
|
70
|
77
|
81
|
86
|
70
|
70
|
77
|
77
|
81
|
77
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 pregnant
|
40
|
37
|
44
|
47
|
47
|
47
|
68
|
47
|
54
|
61
|
71
|
75
|
89
|
|
58
|
59
|
62
|
79
|
96
|
58
|
62
|
70
|
72
|
75
|
96
|
75
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 virgin
|
46
|
42
|
65
|
46
|
58
|
42
|
48
|
58
|
50
|
80
|
63
|
65
|
70
|
|
70
|
72
|
97
|
46
|
56
|
70
|
70
|
72
|
76
|
90
|
76
|
92
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
8 pregnant
|
21
|
40
|
44
|
54
|
36
|
40
|
56
|
60
|
48
|
53
|
60
|
60
|
65
|
|
68
|
60
|
81
|
81
|
48
|
48
|
56
|
68
|
75
|
81
|
48
|
68
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
8 virgin
|
16
|
19
|
19
|
32
|
33
|
33
|
30
|
42
|
42
|
33
|
26
|
30
|
40
|
|
54
|
34
|
34
|
47
|
47
|
42
|
47
|
54
|
54
|
56
|
60
|
44
|
|
Conduct a complete test of hypothesis (Ho and Ha, test procedure, test statistics, decision rule, ANOVA table from SAS output, decision and conclusion)
Gymnosperms and angiosperms
: Which of the following are adaptations to land of both gymnosperms and angiosperms but are lacking in ferns and mosses? A) sporesB) true roots, stems, and leavesC) fruits and flowers
|
Figure out the hypothesis
: Answer some questions about a scientific paper and the material is going way over my head. This is for a developmental neuro class. I need to figure out the hypothesis, describe what was found and what it means for each major result, and explain what..
|
Discuss what is meant by total rewards
: Discuss how Makey uses its own products or services to enhance the total compensation for its employees. Is this a common practice in other organizations? Give real-life examples (employers by name).
|
What the implications of the neuroplastic
: Carefully consider what the implications of the neuroplasticity of the brain are, and imagine that you are a parent, a teacher, a student, caregiver for an elderly person or an employer. Describe a program proposal where you would use information abo..
|
Design and analysis of completely randomized design
: a. Identify the treatment, experimental units and response variable of an experiment laid in CRD; b. State the linear model and define each component in terms of the given problem;
|
Research paper on change management
: Write a 5 pageswell research paper on Change Management, Causes of Change and Management Styles issues or interest.
|
How much money was involved in fraud
: What was the brief history of companies and what kind of Unethical activities these companies were doing and how much money was involved in fraud?
|
Does multiplication of two imaginary numbers imaginary
: Does multiplication of two imaginary numbers imaginary or real? if i multiply 2i and 3i then it is = -6 which is real .if √-3 and √-2 are multiplied then it gives - √6 which is real . but if i do the same thing like this √-3 * √-2 =√{(-3)*(-2)} =√6 w..
|
Which type of quastion experimental design do you recommend
: She decides to use the weekly quizzes in one section of her introductory psychology class and not to use them in another section of the same course. Which type of quastion experimental design do you recommend for this study?
|