Campbellsville University Statistics Question Worksheet

Experimental Planning FormProject Title:
Start Date:
1. Objective:
2. Background information:
3. Experimental variables:
A.
Response variables
1
2
3
B.
Factors under study
1
2
3
4
5
6
7
C.
Background variables
1
2
3
4. Replication:
5. Methods of randomization:
6. Design matrix: (attach copy)
7. Data collection forms: (attach copy)
7. Data collection forms: (attach copy)
8. Planned method of statistical analysis:
9. Estimated cost, schedule, and other resource needs:
Team members:
opy)
Experimental Planning Form
Project Title:
Start Date:
Measurement technique
Levels
Method of control
opy)
nalysis:
other resource needs:
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(50 pts per question)
Return the test before the end of Thursday night, March 10, 2022, 11:59 pm cdt
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Text may give you a faster response. Of co
you a faster response. Of course, I could be in a meeting or something.
Question 1. enter True or False
item no.
1
The F test and t test can test the same things.
The t test, or the Student’s t test would be used on samples of
2
less than 30 in number.
3
The word “ANOVA” stands for the analysis of variance
4
Experimental error is largely attributed to measurement error.
5
The sample variance of a population is simply the “means” squared.
In the F table, at 5%, page 618, if the v1 = 9, and v2 = 30; the
6
critical value is 2.22
A 5% significance value means that there is a 1 out of 100 chance
7
of something occuring.
If a F test had a p-value indicating 3%. That means it is typically
8
not significance.
The ANOVA table has only a top structure to it: Source of
variation, Sum of squares, Degrees of freedom, and between
9
treatments.
The dot plot or dot diagram displays the distribution of a small
10
body of data.
In using the normal probability plot, it is to show that the data
points should lay close to a straight line. But, since we did an
experiment, we really want to see the outlier!!! That is a proof
11
that something really changed!
A “normal score” is derived by taking the number of variances
12
from the mean.
A Graeco-Latin square uses 4 different blocking variables at k
13
levels.
A Hyper-Graeco-Latin square uses 5 different blocking variables
14
at k levels.
Is this Student t-test with a calculated t value of 3.00 at 5
degrees of freedom, and at a tail area probability of 0.025,
15
considered significant?
Would the measurement of variability & experimental error mean
16
about the same?
If there are 12 observations in the experiment, then there are 10
17
degrees of freedom for the data.
In Table 3.2 – is Method A statistically better than Method B,
18
based on p = 19.5%
See Fisher’s comment regarding Darwin’s experiment on page 86.
19
The flaw was due to a copying error.
20
If one pairs observations in an experiment. That is blocking?
See page 108, Table 3.9 The methods of application of
21
mothproofing agents in the seven laboratories were not
In the comparing of 2 or more treatments, the calculations are set
22
out in an ANOVA table
In the analysis of experiments, one must use a variety of graphs to
23
display the data, and statistical methods to show the significance.
24
For design of experiments small sample sizes are used.
The Mean squares in an ANOVA table are derived by dividing the
25
“Sum of Squares” by the “mean square”. See page 134.
Some questions from “Cautionary Tales. . . ”
For the Lanarkshire milk experiment there were 2 possible
26
treatment groups: children at school A and choldren in school B
In randomizated experiments, the experimenter may use “blinding”
27
or “masking” methods.
Medical blind tests are conducted when only the patient is unaware
28
of the drug or medication being used.
Harvey’s experimental work on blood was found acceptable by the
29
scientific community and church authorities.
Thomas Bayes developed his inverse probability for situations
30
based on previous probabilities using prior knowledge).
The Hawthorne effect is that the mere act of observing and
31
measuring an effect will improve the results.
Fisher’s principles of experimentation are so established that
32
almost any published scientific paper must follow his guidelines.
Fisher presented the definition of “confounding”; where the
33
experimentator is simply “puzzled” by the results.
The statistical design of experiments came first to agricultural
34
experiments.
Observational studies as practiced by many physicans in which case
studies are presented on various treatments and types of patients
35
are good examples of designed experiments.
T/F
A Latin Square
Part of the solution is to fill out the experimental design form.
We have an experiment with 3 factors (cars, drivers, and tire positions) to determine gas mileage. T
runs conducted. The higher the gas mileage, the better. What will your analysis be?
provide
Drivers
Car
show the format that Minitab can use
run order plot
A
B
I
II
dotplots
C
III
normal probability plots
D
IV
ANOVA analysis
significant factors?
The design matrix and results
car
Tires
I
II
III
IV
LF
A
B
C
D
RF
D
A
B
C
LF
C
D
A
B
RR
B
C
D
A
Drivers
mpg
put into a form that Minitab can use
Run
Tires
Car
1
LF
I
45
2
LF
II
28
3
LF
III
15
4
LF
IV
37
5
RF
I
22
6
RF
II
38
7
RF
III
42
8
RF
IV
20
9
LR
I
21
10
LR
II
40
11
LR
III
38
12
LR
IV
37
13
RR
I
32
Drivers are in the matrix
14
RR
II
18
15
RR
III
21
16
RR
IV
34
perimental design form.
o determine gas mileage. There will be 16
nalysis be?
Tires
Left Front (LF)
Right Front (RF)
Left Rear (LR)
Right Rear (RR)
vers are in the matrix
mpg
Experimental Planning Form
Project Title:
Start Date:
1. Objective:
2. Background information:
3. Experimental variables:
A.
Response variables
1
2
3
B.
Factors under study
1
2
3
4
5
6
7
C.
Background variables
1
2
3
4. Replication:
5. Methods of randomization:
6. Design matrix: (attach copy)
7. Data collection forms: (attach copy)
8. Planned method of statistical analysis:
9. Estimated cost, schedule, and other resource needs:
Team members:
Experimental Planning Form
Project Title:
Start Date:
Measurement technique
Levels
Method of control
s:
resource needs:
Essay
Design a 5 factor 2 level experiment. (use your creativity)
Use the experimental design form to set up the factors, levels,
and provide a design matrix, up to the 2 way interactions.
Note: if you need examples for an experiment:
flying an airplane
proper concrete mix
riding a bike
best ways to practice cricket
best ways to practice tennis/ pickleball
growing a plant
making pancakes
Experimental Planning Form
Project Title:
Start Date:
1. Objective:
2. Background information:
3. Experimental variables:
A.
Response variables
1
2
3
B.
Factors under study
1
2
3
4
5
6
7
C.
Background variables
1
2
3
4. Replication:
5. Methods of randomization:
6. Design matrix: (attach copy)
7. Data collection forms: (attach copy)
8. Planned method of statistical analysis:
9. Estimated cost, schedule, and other resource needs:
Team members:
Experimental Planning Form
Project Title:
Start Date:
Measurement technique
Levels
Method of control
s:
resource needs:
Question 4
Explain the importance of the ANOVA process in the experimental methodology.
Be sure to include what the various subjects:
early beginning in history
its primary developer
variance
F test
significance
factors
levels
the ANOVA Table – explain the Table 4.10 in detail
thodology.