CJ 316 – Research Methods in Criminal Justice
Component #3 – Research Design/Conclusion
Due by midnight on Saturday, February 24, 2018
Here you will explain the design for your proposed research. There are 3 elements to this section.
1. Hypothesis- after your literature review and problem statement you should have a clear thesis question
that you are intending to answer. This should be your first sentence under this section backed up by a
few supporting details that illustrates this claim.
a. Example: Community orientated polices has been a major contributor for decreasing crime in
inner cities. This fact has been cited throughout the literature over the years and has been seen as
an effective strategy (Please add more details, this is just an example).
b. Side note: You should have around 5 sentences, one stating your hypothesis/ thesis question, and
the other sentences should involve supporting details about your hypothesis.
2. Operationalization- Please discuss the variables that you will be using in your study. Each study should
contain a dependent and independent variable. In addition if you chose to use a theory to explain your
thesis question then please explain why your chose that theory.
a. Example: crime rate depends on community policing practices. The crime rate is the dependent
variable and community policing is the independent variable.
b. In addition, please include any issues of Validity, Reliability, or Ethics that pertain to your
operationalizing. Each of these elements should be broken off into separate paragraphs.
3. Research design/ Data and Methods- please describe your proposed research design. This should
include:
• The units of analysis
• Sampling frame
• Sampling procedure
• Sample size
• Methods of collection
Example:
With the evolution of the criminal justice system and its continued reliance on technology, the electronic
monitoring system is a safer and more effective way to keep track of criminals and reduce the recidivism of
the probationers. With probation officers under increasing caseloads and having to keep track of more and
more probationers, the people on probation are followed less and have less supervision while on probation.
This gives the probationers the opportunity to break their rules with a less likely chance that the overworked
officer will catch them. The ankle electronic monitoring system helps the officer keep track of more cases
easier and track the probationers more closely.
There are a few variables that are part of the electronic monitoring research. The independent variable of
the research is the electronic monitoring devices and the dependent variable is the reduction of recidivism.
The reduction of recidivism directly relates to the use of the ankle monitoring device. With the ankle
monitor, it convinces the probationer to stick to his clean ways because the probation officer will be notified
of the user’s actio ...
CJ 316 Research Design Explains Hypothesis, Variables, and Methods
1. CJ 316 – Research Methods in Criminal Justice
Component #3 – Research Design/Conclusion
Due by midnight on Saturday, February 24, 2018
Here you will explain the design for your proposed research.
There are 3 elements to this section.
1. Hypothesis- after your literature review and problem
statement you should have a clear thesis question
that you are intending to answer. This should be your first
sentence under this section backed up by a
few supporting details that illustrates this claim.
a. Example: Community orientated polices has been a major
contributor for decreasing crime in
inner cities. This fact has been cited throughout the literature
over the years and has been seen as
an effective strategy (Please add more details, this is just an
example).
b. Side note: You should have around 5 sentences, one stating
your hypothesis/ thesis question, and
the other sentences should involve supporting details about your
hypothesis.
2. 2. Operationalization- Please discuss the variables that you will
be using in your study. Each study should
contain a dependent and independent variable. In addition if you
chose to use a theory to explain your
thesis question then please explain why your chose that theory.
a. Example: crime rate depends on community policing
practices. The crime rate is the dependent
variable and community policing is the independent variable.
b. In addition, please include any issues of Validity, Reliability,
or Ethics that pertain to your
operationalizing. Each of these elements should be broken off
into separate paragraphs.
3. Research design/ Data and Methods- please describe your
proposed research design. This should
include:
• The units of analysis
• Sampling frame
• Sampling procedure
• Sample size
• Methods of collection
Example:
3. With the evolution of the criminal justice system and its
continued reliance on technology, the electronic
monitoring system is a safer and more effective way to keep
track of criminals and reduce the recidivism of
the probationers. With probation officers under increasing
caseloads and having to keep track of more and
more probationers, the people on probation are followed less
and have less supervision while on probation.
This gives the probationers the opportunity to break their rules
with a less likely chance that the overworked
officer will catch them. The ankle electronic monitoring system
helps the officer keep track of more cases
easier and track the probationers more closely.
There are a few variables that are part of the electronic
monitoring research. The independent variable of
the research is the electronic monitoring devices and the
dependent variable is the reduction of recidivism.
The reduction of recidivism directly relates to the use of the
ankle monitoring device. With the ankle
monitor, it convinces the probationer to stick to his clean ways
because the probation officer will be notified
of the user’s actions. Without the electronic monitoring device
the people on probation could be tempted to
break their rules because the officer is overworked and sees
4. them less.
There are a few threats to the internal validity of this research.
The first threat is history, unknown
external events such as unexpected visits from old friends who
are against the probation rules, this would
cause them to break their probation and go back to jail. Another
threat is instrumentation, the constant
upgrade of ankle monitoring devices and the wide variety
available to the probation officers can cause a
reliability issue in the tracking of the probationers. A third
threat is the selection biases; this is a problem
because there is a higher likelihood that rich, white people will
be selected for the use of the monitoring
system. These people are less likely to recidivate due to their
social status.
There is construct validity threats as well. With this research it
has to be sure that the ankle monitoring
devices are actually the things that are reducing recidivism.
There could be other things that could cause a
reduction in recidivism, such as a group of individuals that
made a mistake once, or an over active probation
officer could keep track of the probationers so well that they
have no chance to break their probation.
5. Reliability can become an issue in this research. When
researching you want to make sure that the
results that are produced can yield the same result if the
experiment is done over and over in different areas.
When gathering information on whether the electronic ankle
monitoring devices actually affect the
recidivism of probationers the data needs to be reliable. The
way to avoid the reliability issues in this
experiment is to use interrater reliability. This way the results
could be compared to other results gathered
by other researchers to see if the data is reliable. Also, the test-
retest method could be applied to make sure
that the data gathered is reliable and accurate.
The research being done dose have some ethical considerations
to be dealt with. First, since it is a
research project it would have to be cleared by the Institutional
Review Board. They would make sure that
there were no issues with the project. Some issues would be that
the people being studied would be
considered special populations and thus would require informed
consent before starting the study. Another
ethical problem that could occur is asking them about what they
do on probation and trying to get the
6. information from them without tricking or deceiving them. If
the subjects are deceived then the data will not
be reliable.
In the data and methods section of the research design, the units
of analysis would be individuals. The
thing that is being studied are probationers, and they are people
that are the same. The sampling procedure
would be a disproportionate stratified sampling. This is the
procedure for this research because not everyone
is on probation, so it is not something common or a
representative of the population. The people for the
research have to be chosen from select cases where the people
are on probation.
The sample size of this research proposal would hopefully be
bigger than smaller. Other research on this
topic has had over fifty thousand people in their research. The
one that is proposed would have about ten
thousand participants in it. This is smaller than most of the
other sample sizes so there would be less
spurious data. But, it will have enough participants that the data
will not be skewed in one way or another.
With the methods of collection, the data would be collected
through a mostly qualitative survey. This form
of collection would be used because trying to discover whether
7. the electronic ankle monitoring device
actually influences people not to break their probation and
actually decrease recidivism wouldn’t require
numerical data. A longitudinal study would also be conducted
during this study; a survey would be
conducted just as the people got onto probation and when they
received the ankle monitoring system. Then
another survey would be presented to the subjects at the end of
their probation period to see the results.
There are some consequences to using this type of sample.
Using a smaller sample size can sometimes
be more accurate but has a tendency to more easily be skewed
by outliers; it can also have a higher sampling
error. A larger sample size on the other hand tends to average
out the outliers and creates a larger picture
that dose not really show the real data. Using a cross sectional
study gives a real in depth view of the
subjects during one point in time, but times always change so
the data produced can quickly become
obsolete. The longitudinal study covers the subjects over a
longer period of time so it does not become old
as quickly but does not go into as much depth as the other one
dose. Lastly, using an experiment can cause
unexpected problem among the subjects, such as the Stanford
8. prison experiment where the subjects ended
up suffering mental problems, causing the experiment to end
quickly. A control on the other hand can
produce results that are false. Placebos can trick people into
thinking that they are actually feeling the results
the real drug or treatment were supposed to produce.
For the surveys given to the participants, it would be broken up
into two different surveys. The first
survey would be given at the start of their probation. It would
ask on whether they had the electronic ankle
monitor as part of their probation, how long their probation is
and other questions along those lines. The
second survey would be sent to the house of the person on
probation and ask whether they felt it influenced
them to not break probation, if they thought about breaking
their probation, and whether they finished their
probation without breaking any of the rules. Assistants and
sending the surveys with a return envelope and
postage will be the methods of handing out and collecting the
surveys for this research. The positives of this
process are that the subjects don’t have to gather at a certain
place to take the survey and it is easier for
9. them. But, at the same time this does not make the survey seem
important and they could not fill it out. Also
the people on probation could lie on the survey skewing the
results. This format was chosen due to its easy
style to answer for the participants and would show whether the
electronic ankle monitoring devices
actually have an influence on the recidivism of the users.
The intended results from this research project would show that
the use of electronic ankle monitoring
devices used in probation actually reduces recidivism and makes
the probation officers job easier. The
device convinces the wearer that if they were to try and run
away from their sentence or to go into areas that
are off limits, the probation officer would quickly learn of it
and they would break their rules of probation
and head back to jail. With this success of reduced recidivism,
the monitoring device should be more widely
used than the amount it is now. It could help cut back crimes
and pull back the prison population which is
stressing our corrections area. The thought of someone watching
them during their probation causes the
subjects to change their habits for the better, so that by the time
they are free people their bad habits have
been changed to ones that won’t send them back to prison.
10. Conclusion
Please explain your intended results and the significance for
developing this study.
Sheet1AlternativesOptimistic ConditionsRealistic
ConditionsPessimistic ConditionsApartment
Building420000290000-90000Office Building240000110000-
200000Warehouse310000190000-
60000Probability0.250.650.1Fee for Survey12000Probability of
survey results positive0.52Probability of survey results
negative0.48If the analysis report results positiveOptimistic
ConditionsRealistic ConditionsPessimistic
Conditionsprobability0.520.370.11If the analysis report results
negativeOptimistic ConditionsRealistic ConditionsPessimistic
Conditionsprobability0.150.270.58
CASE PROBLEM ‘BICYCLE SHOP’ 1
11. Assignment 2:
Case Problem – Bicycle Shop
Tom Grady
Boston University
AD715 Quantitative and Qualitative Decision-Making
Richard Maltzman, PMP
11 MARCH 2016
CASE PROBLEM ‘BICYCLE SHOP’ 2
12. Table of Contents
Executive Summary
...............................................................................................
.................. 3
The Bicycle Shop Case Problem
.............................................................................................
4
Payoff Table and Decision Tree Analysis
.......................................................................... 4
Should Jerry Conduct and Use Marketing Research?
..................................................... 6
Sensitivity Analysis
...............................................................................................
............... 7
Conclusion
.................................................................................. .............
............................. 7
References
...............................................................................................
.................................. 8
APPENDIX A
...............................................................................................
............................ 9
APPENDIX B
...............................................................................................
.......................... 10
13. CASE PROBLEM ‘BICYCLE SHOP’ 3
Executive Summary
This managerial report aims to analyze Jerry Smith’s problem
as to whether he should
start a bicycle shop business either by opening a small shop, a
large shop or no shop at all.
Further analysis was done on whether he should engage his old
marketing professor to
conduct a marketing research study before starting his new
business venture with a fee of
$5,000. As such, payoff table, decision tree analysis and
sensitivity analysis were used in
analyzing Jerry’s problem and coming up with a decision on
which alternative to be carried
out. The result from the analysis in this managerial report
indicates that Jerry should engage
his old marketing professor to conduct a market research study
with the fee of $5,000 with
the condition that the probability of a favorable market research
14. is more than 0.3 as shown in
the sensitivity analysis. If the result of the market research
study is favorable, Jerry should
open a large shop as the expected monetary value (EMV) is
$45,000 and if the research result
is not favorable, Jerry should not open any shop at all as it has
the best EMV of negative
$5,000.
CASE PROBLEM ‘BICYCLE SHOP’ 4
The Bicycle Shop Case Problem
Jerry Smith had been contemplating on whether to start a new
business venture by
opening a bicycle shop in his hometown as he had found the
right building at the perfect
location to operate his business. The profit from the new
business venture will depend on the
size of the shop and whether there is a market for Jerry’s
product. As such, Jerry has to make
15. a few key decisions which are listed below before he could
move forward.
(1) Jerry has an alternative to either open a small shop, a big
shop or no shop at all; and
(2) Jerry could engage his old marketing professor to conduct a
marketing research study
with a fee of $5,000 before deciding the alternative stated in (1)
above.
Payoff Table and Decision Tree Analysis
As Render et al. (2015) mentioned, a good decision is a
decision that is based on
logic, considers all available data and possible alternatives as
well as applying quantitative
approach. In order to make the best decision, Jerry has done
some analysis on the profitability
of the bicycle shop. He determined that there are only two
possible outcomes – the market for
bicycles could be favorable or it could be unfavorable, both the
outcomes have a 0.5
probability. Jerry thinks that a large bicycle shop will earn
$60,000 in a favorable market or
loses $40,000 if the market is unfavorable. A small bicycle shop
will result in a $30,000
16. profit in a favorable market and a loss of $10,000 in an
unfavorable market. Not opening a
shop would result in $0 profit/loss in either market. The payoff
table for Jerry’s conditional
values is shown in table 1.
Alternatives
State of Nature
Favorable Market ($) Unfavorable Market ($)
Small Shop 30,000 -10,000
Large Shop 60,000 -40,000
No Shop 0 0
Probability 0.5 0.5
Table 1: Payoff Table with Conditional Values for the Bicycle
Shop
CASE PROBLEM ‘BICYCLE SHOP’ 5
Buckley and Dudley (1999) stated that in some cases where
decisions have to be
made, certain alternative choices could be clear. However, the
consequences of these choices
may not be readily apparent. As such, one possible tool that
17. could be use in such a situation is
the decision tree analysis whereby the payoff table could be
graphically illustrated. Figure 1
shows the payoffs and probabilities for Jerry’s decision
situation.
Figure 1: Bicycle Shop’s Decision Tree
The most popular method of making decision under risk where
a decision is made in
which several possible states of nature occurs and its
possibilities are known is by selecting
the alternative with the highest expected monetary value (EMV)
(Render et al. 2015). As
reflected in the decision tree in Figure 1, both the small shop
and large shop has the same
highest EMV of $10,000 whereas the EMV for no shop is $0.
The calculations are as follow:
EMV (small shop) = ($30,000)(0.5) + (-$10,000)(0.5) = $10,000
EMV (large shop) = ($60,000)(0.5) + (-$40,000)(0.5) =
$10,000
EMV (no shop) = ($0)(0.5) + ($0)(0.5) = $0
Jerry’s initial analysis on the payoff for the alternatives and
probability for the market
18. conditions yielded the same EMV for both small shop and large
shop which is $10,000. If
0.5 TreePlan.com
Favorable Market
$30,000
Small Shop $30,000
$10,000 0.5
Unfavorable Market
-$10,000
-$10,000
0.5
Favorable Market
$60,000
1 Large Shop $60,000
$10,000
$10,000 0.5
Unfavorable Market
-$40,000
-$40,000
19. No Shop
$0
$0
1
2
CASE PROBLEM ‘BICYCLE SHOP’ 6
Jerry uses the information from the marketing research
conducted by his old marketing
professor with a fee of $5,000, the expanded decision tree is as
shown in Figure 2 in
Appendix A. Examining the decision tree in Figure 2, it is
apparent that the best EMV is to
conduct the market research with a value of $25,000 as
compared to an EMV of $10,000 if
market research was not conducted. So the best choice would be
to conduct a market
research. If the market research result is favorable, Jerry should
open a large shop as
indicated with an EMV of $45,000. However, if the research
result is negative, Jerry should
20. not open any shop at all as it has the best EMV of negative
$5,000.
Should Jerry Conduct and Use Marketing Research?
As reflected in the decision tree in Figure 2, the best choice is
to conduct a marketing
research study. If Jerry were to engage his old marketing
professor to conduct the marketing
research study, it could change his situation from one of
decision making under risk to one of
decision making under certainty (Render et al. 2015). However,
before engaging his old
professor, Jerry should calculate the maximum that he would
pay for that information using
the expected value of perfect information (EVPI). The
calculation is as follows,
EVPI = Expected Value with Perfect Information (EVwPI) –
Best EMV
= [(best payoff in favorable market)(probability of favorable
market) + (best
payoff in unfavorable market)(probability of unfavorable
market)] - Best EMV
= [($60,000)(0.5) + ($0)(0.5)] - $10,000 = $20,000
21. Therefore, the maximum amount that Jerry should pay for the
perfect information is $20,000.
Thus, the rate of $5,000 for the service that Jerry’s professor is
charging to conduct a market
research study is reasonable and Jerry should take the
opportunity to carry out and use the
marketing research.
CASE PROBLEM ‘BICYCLE SHOP’ 7
Sensitivity Analysis
Render et al. (2015) states that “sensitivity analysis
investigates how our decision
might change given a change in the problem data”. As such, we
could use the sensitivity
analysis to evaluate the impact that a change in the probability
value of a favorable marketing
research would have on the decision facing Jerry since he is
unsure that the 0.6 probability of
a favorable marketing research result is correct.
In order to compute the sensitivity of the data, let ‘p’ be the
probability of the
favorable market research results and ‘1 – p’ is the probability
22. for the unfavorable results.
The equation for EMV of conducting the market research which
is node 1 is as follows,
EMV (node 1) = ($45,000)p + (-$5,000) (1 – p) = $50,000p –
$5,000
Jerry will maintain indifferent with his decision to conduct the
market research when
the EMV for node 1 (conducting market research) is the same as
the EMV of not conducting
a market research with a value of $10,000. The indifference
point is calculated as follows,
$50,000p – $5,000 = $10,000
p = $15,000 / $50,000 = 0.3
By referring to the sensitivity analysis, it indicates that the
probability of the favorable market
research has to be less than 0.3 (as shown in point 1 in the
graph of the EMV values in Figure
3 – Appendix B), in order for Jerry to change his decision to not
conduct a market research.
Conclusion
With the above analysis, Jerry can finally decide to proceed
with engaging his old
23. marketing professor to conduct a market research study with a
fee of $5,000 as long as the
probability of the favorable market research is more than 0.3. If
the result of the study is
favorable, than Jerry should open a large shop. However, if the
research result is negative,
Jerry should not open any shop at all.
CASE PROBLEM ‘BICYCLE SHOP’ 8
References
Buckley, J. &. (1999). How Gerber Used a Decision Tree in
Strategic Decision-Making.
Graziadio Business Review, 2(3). Retrieved from
https://gbr.pepperdine.edu/2010/08/how-gerber-used-a-decision-
tree-in-strategic-
decision-making/
Render, Stair, Hanna & Hale (2015). Quantitative Analysis for
Management, 12 Edition.
Pearson Education. Chapter 3: Decision Analysis, pages 65 - 95
24. CASE PROBLEM ‘BICYCLE SHOP’ 9
APPENDIX A
Figure 2: Bicycle Shop’s Decision Tree with Market Research
0.9 TreePlan.com
Favorable Market
$25,000
Small Shop $25,000
$21,000 0.1
Unfavorable Market
-$15,000
-$15,000
0.6 0.9
Favorable Market
$55,000
2 Large Shop $55,000
$45,000
30. A
LU
E
(E
M
V
)
PROBABILITY OF FAVORABLE MARKET RESEARCH (P)
SENSITIVITY ANALYSIS - BICYCLE SHOP
Conduct Market Research Do Not Conduct Market Research
point 1
0.3
Week 5: Summary
Week 6, Lecture 6: Decision Analysis and Support in
Organizations
Bb Discussion W6: Quantitative Analysis and Decision Making
in an Organization
Preparation for Assignment 2 (Due Monday Oct-28 by 11:59pm)
– Q&A
Individual Exercise: Working with the Tutorial for AD715
32. - an
example
decision tree problems
1
3
4
2
F
The Six Steps in
Decision Making: Decision
Analysis Prospective
1. Clearly define the problem
at hand
2. List the possible
alternatives
3. Identify the possible
outcomes or states of
nature
4. List the payoff (typically
profit) of each
combination of
alternatives and outcomes
33. 5. Select one of the
mathematical decision
theory models
6. Apply the model and
make your decision
Step 1:
Recognize the
Need of a Decision
Step 2:
Generate
Alternative
Step 3:
Assess
Alternative
Step 4:
Choose Among Alternatives
Step 5:
Implement the
Chosen Alternative
Step 6:
Learn from
Feedback
Decision
Making
Process
36. MARKET ($)
Construct a large plant 200,000 –180,000
Construct a small plant 100,000 –20,000
Do nothing 0 0
Decision Making and Decision Analysis – An Introduction
Business Running Case:
Thompson Lumber Company
Step 3 – Identify possible outcomes or
states of nature
• The market could be favorable or
unfavorable
Step 2 – List possible alternatives
• Construct a large new plant
• Construct a small new plant
• Do not develop the new
product line
States of Nature:
Outcomes over
which the decision
makers has little
or no control
Decision Table (Payoff Table)
with Conditional Values
38. Decision Making and Decision Analysis – An Introduction
Business Running Case:
Thompson Lumber Company
Conditional Values:
Possible combination of
alternatives and outcomes,
also called payoffs.
Payoffs can be based on
money or any appropriate
means of measuring
benefits.
Step 4 – List the payoffs
• Identify conditional values
for the profits for large
plant, small plant, and no
development for the two
possible market conditions
Net profit of $200,000 is a conditional value
because receiving the money is conditional
upon both building a large factory and
having a good (favorable) market
Net loss of $180,000 is a conditional value
because receiving the money is conditional
upon both building a large factory and
having a unfavorable market
7
B 1
42. 200,000 –180,000 200,000
Construct a
small plant
100,000 –20,000 100,000
Do nothing 0 0 0
Maximax Decision
Maximax
11
STATE OF NATURE
ALTERNATIVE
FAVORABLE
MARKET ($)
UNFAVORABLE
MARKET ($)
MINIMUM IN
A ROW ($)
Construct a
large plant
200,000 –180,000 -180,000
Construct a
small plant
44. a = 1 is perfectly optimistic
a = 0 is perfectly pessimistic
– Compute the weighted averages for each
alternative
– Select the alternative with the highest value
–
12
nt alternative using ɑ = 0.8
(0.8)(200,000) + (1 – 0.8)(–180,000) = 124,000
(0.8)(100,000) + (1 – 0.8)(–20,000) = 76,000
STATE OF NATURE
ALTERNATIVE
FAVORABLE
MARKET ($)
UNFAVORABLE
MARKET ($)
CRITERION
OF REALISM
(a = 0.8) $
47. Minimax Regret
fference between
the optimal profit and actual payoff for a decision
1. Create an opportunity loss table by determining the
opportunity loss from not choosing the best alternative
2. Calculate opportunity loss by subtracting each payoff in
the column from the best payoff in the column
3. Find the maximum opportunity loss for each alternative
and pick the alternative with the minimum number
14
Decision Making Under Uncertainty
STATE OF NATURE
ALTERNATIVE
FAVORABLE
MARKET ($)
UNFAVORABLE
MARKET ($)
Construct a
large plant
200,000 - 200,000 0 – (–180,000)
Construct a
48. small plant
200,000 - 100,000 0 – (–20,000)
Do nothing 200,000 - 0 0 - 0
STATE OF NATURE
ALTERNATIVE
FAVORABLE
MARKET ($)
UNFAVORABLE
MARKET ($)
Construct a
large plant
0 180,000
Construct a
small plant
100,000 20,000
Do nothing 200,000 0
Business Running Case:
Thompson Lumber Company Determining Opportunity Losses
Opportunity Loss Table
STATE OF NATURE
ALTERNATIVE
FAVORABLE
MARKET ($)
51. • Each market outcome has a probability of
occurrence of 0.50
• Which alternative would give the highest EMV?
EMV (large plant) = ($200,000)(0.5) + (–$180,000)(0.5)
= $10,000
EMV (small plant) = ($100,000)(0.5) + (–$20,000)(0.5)
= $40,000
EMV (do nothing) = ($0)(0.5) + ($0)(0.5)
= $0
Business Running Case:
Thompson Lumber Company (EMV)
STATE OF NATURE
ALTERNATIVE
FAVORABLE
MARKET ($)
UNFAVORABLE
MARKET ($) EMV ($)
Construct a
large plant
200,000 –180,000 10,000
Construct a
small plant
54. 200,000 –180,000 10,000
Construct a
small plant
100,000 –20,000 40,000
Do nothing 0 0 0
Probabilities 0.5 0.5
With Perfect
Information 200,000 0 100,000
Decision Table with Perfect Information
Best EVwPI
Best EMV The maximum EMV without additional
information is $40,000
EVwPI = $200,000 x 0.5 + $0 x 0.5 = $100,000
where $200,000 is best payoff for first state of nature
$0 is the best payoff for second state of nature
EVPI = EVwPI – Best EMV = $100,000 - $40,000 = $60,000
Therefore, the maximum Thompson should
pay for the additional information is $60,000
SOLUTION: Thompson should not pay
$65,000 for this information
Should Thompson Lumber
64. 10,000
COPIES PER
MONTH
20,000
COPIES PER
MONTH
30,000
COPIES PER
MONTH
BEST PAYOFF
(MINIMUM)
WORST
PAYOFF
(MAXIMUM)
Machine A 950 1,050 1,150 950 1,150
Machine B 850 1,100 1,350 850 1,350
Machine C 700 1,000 1,300 700 1,300
TABLE 3.13 – Best and Worst Payoffs
24
Q/A: Costs Minimization - An Example
67. 20,000 0.30
30,000 0.30
Q/A: Costs Minimization - An Example DECISIONS
Assumptions for probability
for the three states of nature
(based on past records)
10,000
COPIES PER
MONTH
20,000
COPIES PER
MONTH
30,000
COPIES PER
MONTH
EMV
Machine A 950 1,050 1,150 1,040
Machine B 850 1,100 1,350 1,075
Machine C 700 1,000 1,300 970
With perfect information 700 1,000 1,150 925
69. COPIES PER
MONTH
EMV
Machine A 950 1,050 1,150 1,040
Machine B 850 1,100 1,350 1,075
Machine C 700 1,000 1,300 970
With perfect information 700 1,000 1,150 925
Probability 0.4 0.3 0.3
TABLE 3.14
Expected Monetary Values and Expected Value with Perfect
Information
EVwPI = $925
Best EMV without perfect information= $970
EVPI = 970 – 925 = $45
Decision: to select machine C based
on the minimax regret
criterion (it has the
minimum of the maximum)
10,000
COPIES PER
MONTH
20,000
87. • If the probability of a favorable result (p = .45) where to
change, would we
make the same decision?
• How much could it change before we would make a different
decision?
Decision Trees
p = probability of a favorable survey result
(1 – p) = probability of a negative survey result
EMV(node 1) = ($106,400)p +($2,400)(1 – p)
= $104,000p + $2,400
Business Running Case: Thompson Lumber Company
We are indifferent when the EMV of node 1 is the
same as the EMV of not conducting the survey
$104,000p + $2,400 = $40,000
$104,000p = $37,600
p = $37,600/$104,000 = 0.36
DECISION:
If p < 0.36, do not conduct the survey
If p > 0.36, conduct the survey
38
B 4
92. In this course, students will be using Microsoft Excel software
applications for
Windows. As part of the tuition, all BU students can use this
software free of charge.
Click here for directions to get free access to Microsoft Excel
applications from
MET’s Virtual Labs: http://www.bu.edu/metit/pc-labs/virtual-
labs/
You will not be able to download the software using this option,
but you will be given
access to it for use during the course.
If you are first-time VLAB user, please synchronize your BU
account with the BU
Active Directory by following the recommended
procedures:
https://weblogin.bu.edu/accounts/create?_hostname=ad;_conffil
e=kpw
From the existing two VLAB connection modes, I am
recommending to select
Horizon Client: http://www.bu.edu/metit/vlabs-client/
The process of accessing and working within the VLABs is
demonstrated and
explained with the help of Video Tutorials (one for Windows,
and the other for MAC
93. users).
Attention: Files saved on the desktop or local drive of the
virtual lab will be deleted
after you log off. Hence, before logging off, you must save your
work on an external
source, such as Google Drive, Shared Folder, USB drive, or
email the files to
yourself. Instructions how to save files in the MET VLABs are
accessible from here:
http://www.bu.edu/metit/vlabs-client/
To Get Help, call (617) 358-5401 or send a message to
[email protected] . Please
indicate that you have a VLAB issue and include your course
number.
http://www.bu.edu/metit/pc-labs/virtual-labs/
https://weblogin.bu.edu/accounts/create?_hostname=ad;_conffil
e=kpw
http://www.bu.edu/metit/vlabs-client/
http://www.bu.edu/metit/vlabs-client/
mailto:[email protected]
A2 TextAssignment 2: Case Problem "Real Estate Development:
Select a New Project"Problem DescriptionA real estate company
is considering the development of one of the following three
possible projects: (1) an apartment building; (2) an office
building; (3) a warehouse. The amount of payoff (profit) that
could be earned by selling the estate depends on the economic
94. conditions, specified as: optimistic, realistic and pessimistic.
The estimated payoffs and probabilities under optimistic,
realistic and pessimistic conditions are shown as
follows:AlternativesStates of NatureOptimistic
ConditionsRealistic ConditionsPessimistic ConditionsApartment
BuildingABCOffice
BuildingDEFWarehouseGHIProbabilityxyzIn preparation for a
final decision, the company is considering the hiring of a
business analyst. If the company hires the analyst, the decision
regarding which project to develop will not be made until the
analyst presents a survey. However, the analyst is requesting an
upfront payment for the survey in the amount of Z. The
probabilities of the survey results to be positive or negative are
i and k. Summary tables, in case the company hires a business
analyst:Fee for SurveyZProbability of survey results
positiveiProbability of survey results negativek(1) If the survey
results are positive:AlternativesStates of NatureOptimistic
ConditionsRealistic ConditionsPessimistic ConditionsApartment
BuildingA - ZB - ZC - ZOffice BuildingD - ZE - ZF -
ZWarehouseG - ZH - ZI - ZProbabilitydef(2) If the survey
results are negative: AlternativesStates of NatureOptimistic
ConditionsRealistic ConditionsPessimistic ConditionsApartment
BuildingA - ZB - ZC - ZOffice BuildingD - ZE - ZF -
ZWarehouseG - ZH - ZI - ZProbabilityghnAssignment 2:
Starting ConditionsEach student will receive from the instructor
an excel file with a different dataset for payoffs (A to I) and
probabilities (x,y,z,i,k,d,e,f,g,h,n). You have to prepare and
submit a managerial report where you should answer the
question: Which one of the development projects should be
selected? And based on your estimates, should the company hire
the business analyst?Grading Points
Per:TasksAssignment#Content per Tasks10Task 2-0Students
should structure and present their Assignment 2 in the form of a
Managerial Report. The expected length of the main body (tasks
2-1 to 2-4) is up to 3 pages APA format, excluding cover page,
table of content, executive summary (task 2-5), and appendices
95. (screenshots of the Payoff Table, EMV Table, Sensitivity
Analysis Diagram, TreePlan Diagram of the Decision Tree).
Submission requirements: Managerial Report (word file), and
excel file with completed worksheets (iii) to (vi).1Task 2-
1Prepare payoff tables and develop a decision tree for this
problem (without probabilities and EMVs).2Task 2-2Given the
probability of all three economic conditions and using expected
monetary values (EMVs), calculate EMVs for each node and
answer the questions: (1) What's the EMV for not hiring a
business analyst and the EMV for hiring a business analyst? (2)
What is your recommendation: to hire or not to hire a business
analyst?2Task 2-3Use sensitivity analysis to define the
probability range with respect to the survey results which might
affect the decision to hire or not to hire a business analyst, draw
the sensitivity chart, and find the probability for their cross
point. 2Task 2-4Apply a software tool for the construction of a
decision tree with payoffs, probabilities, and EMVs. The
recommended tool is TreePlan: a Microsoft Excel Add-Ins (it is
preinstalled on all V-PCs of the MET V-LABs)2Task 2-
5Prepare an executive summary1List of Worksheets in the Excel
File (it should be used as a reference for different tasks of the
managerial report)(i)A2 Text(ii) Payoff Table -
Template(iii)Payoff Table -
Solution
and a sketch of a decision tree (without probability and EMVs)
--> Needed for Task 2-1(iv) EMV Calculation: use EMV as a
decision criterion for each decision nodes and states of nature
nodes, calculate the EMV for each node, and recommend
whether to hire/not to hire a business analyst --> Needed for
96. Task 2-2(v)Sensitivity Analysis Diagram: compute the
probability of survey results and define the range of probability
values that the real estate company would hire or not hire a
business analyst (including the probability of the cross point) --
> Needed for Task 2-3(vi)TreePlan Diagram of the Decision
Tree: use BU MET V-LAB for Excel Add-In TreePlan -->
Needed for Task 2-4
Payoff Table Template1. If the company does not hire a
business analyst:AlternativesStates of NatureEMVOptimistic
ConditionsRealistic ConditionsPessimistic ConditionsApartment
BuildingABCOffice
BuildingDEFWarehouseGHIProbabilityxyz2. If the company
hires a business analyst:Fee for SurveyZ2.1 If the analysis
report results positive:AlternativesStates of
NatureEMVOptimistic ConditionsRealistic
ConditionsPessimistic ConditionsApartment BuildingOffice
BuildingWarehouseProbabilitydef2.2 If the analysis report
results negative:AlternativesStates of NatureEMVOptimistic
ConditionsRealistic ConditionsPessimistic ConditionsApartment
BuildingOffice BuildingWarehouseProbabilityghn3. Final