# 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:

Tests are meant to be completed by the individual student. Y

•I, (your name), certify that this was completed on my own,

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individual student. You are allowed to use textbooks, software, personal ma

oftware, personal materials, and/ or library materials.

This test is worth 200 points

(50 pts per question)

Return the test before the end of Thursday night, March 10, 2022, 11:59 pm cdt

You can use any and all materials at your disposal.

But, this is an “individual” testing achievement.

So, be sure to discuss all that you need to discuss amongst yourself before starting the test.

Also, be sure to sign the honor code, certification.

If questions feel free to contact me via text or email.

Professor Gee

text: 812-841-6018

ggee@eiu.edu

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.