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Quantitative
Methods
for
Lawyers Research Design - Part IV
Class #4
@ computational
computationallegalstudies.com
professor daniel martin katz danielmartinkatz.com
lexpredict.com slideshare.net/DanielKatz
In our last session, we were
discussing randomized control trials
Randomized Control Trial
Control Group
Treatment Group
Follow Up Evaluation
Follow Up Evaluation
RCT’s Are Often Considered the
Gold Standard in Science
Because if properly executed
there is a fairly clean relationship
between cause and effect
Randomized Control Trial
Control Group
Treatment Group
Follow Up Evaluation
Follow Up Evaluation
Lets go through RCT’s and
related forms of experiments
Experimental Data
Experiments are a great way to
attempt to isolate causal effects
Major Weakness is External Validity (due to
unknown interactions between variables, etc.)
Key Ideas:
Random Assignment
Representativeness
Experimental Control
Experimental Manipulation
Factorial Design
Double Blind
Random Assignment
P r o b a b i l i t y o f B e i n g i n
Treatment or Control Group
Should Be Equal
Composition of the Treatment or
Control Group Should Be
Similar
Under Ideal Conditions this
Eliminates other Confounds that
could undermine Validity
Would like to overall subject
group to mirror the population
of interest
Example: If we are interested in
studying juveniles than the
composition of bot h our
treatment and control groups
should be juveniles
Representativeness
Experimental Control
Classic Example is Medical Trial Involving a New Drug
Experimental Group
Given the New Drug
Control Group
Given the Sugar Pill
How would Double Blind work in this context?
What is a Placebo Effect?
Experimental Manipulation
Under Ideal Conditions this would be the only
difference between treatment and control group
Experimental Manipulation
and Factorial Design
Watch out for too
many Manipulations
at one time
Variables
Concept: A variable is an attribute which
describes a part of the makeup of an individual.‹
Examples are gender, age, employment status,
income level, race, or education level.
Studies are usually designed to collect and
then compute the distribution and variation
between and among the variables.
It should be noted that a variable, by
deïŹnition, must possess variation; if all of the
studied population have the same attribute,
for example they are all employed, that
attribute is a constant rather than a variable. ‹
There are different types of variables.
One important division is between
independent variables and
dependent variables.‹
Independent variables act as the
potential cause. They inïŹ‚uence or
predict an outcome from the dependent
variable. They are the X’s on the right
side of the equation.‹
Dependent variables act as the effect
(or potential effect). They may
change because of the inïŹ‚uence of the
independent variable. This is the Y on
the left hand side of the equation.
Other Types
of Variables
Categorical variables can take on
one of a limited, and usually ïŹxed,
number of possible values
Nominal variables are variables that have
two or more categories but which do not
have an intrinsic order. For example, a real
estate agent could classify their types of
property into distinct categories such as
houses, condos, co-ops or bungalows.
Dichotomous variables are nominal variables
which have only two categories or levels. For
example, we could categorize somebody as
either Treated or Not Treated as either "Yes"
or “No”. In the real estate agent example, if
type of property had been classiïŹed as either
residential or commercial then "type of
property" would be a dichotomous variable.
Ordinal variables are variables that have two
or more categories just like nominal variables
only the categories can also be ordered or
ranked. Large, Medium, Small, etc.
Describe some variables could
that could predict/determine
the price of a house?
How Are They Coded?
School Quality
New or Used
Pool
Garage
Distance from City Center
... etc.
BedRooms
BathRooms
Square Feet
Lot Size
Age of House
Crime Rate
Bias in
ScientiïŹc Study
Please note that “bias” in research terms is
different.
In normal language, bias is a prejudicial look at
someone or something. ‹
‹
In research, bias is an action or inaction which can
skew the outcome. ‹
‹
It does not have to be intentionally done.
Bias in ScientiïŹc Study
What is a Correlation?
What is a Correlation?
Causality
Sometimes the statistical test shows a clear and
signiïŹcant relationship called a correlation between
two variables. ‹
‹
There is a tendency to then conclude that the
correlation shows causation. It may (or may not). ‹
It could have nothing to do with causation or it could
only have an indirect affect on the causation.
Daniel Martin Katz
@ computational
computationallegalstudies.com
lexpredict.com
danielmartinkatz.com
illinois tech - chicago kent college of law@

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Quantitative Methods for Lawyers - Class #4 - Research Design Part IV - Professor Daniel Martin Katz

  • 1. Quantitative Methods for Lawyers Research Design - Part IV Class #4 @ computational computationallegalstudies.com professor daniel martin katz danielmartinkatz.com lexpredict.com slideshare.net/DanielKatz
  • 2. In our last session, we were discussing randomized control trials
  • 3. Randomized Control Trial Control Group Treatment Group Follow Up Evaluation Follow Up Evaluation
  • 4. RCT’s Are Often Considered the Gold Standard in Science
  • 5. Because if properly executed there is a fairly clean relationship between cause and effect
  • 6. Randomized Control Trial Control Group Treatment Group Follow Up Evaluation Follow Up Evaluation
  • 7. Lets go through RCT’s and related forms of experiments
  • 9. Experiments are a great way to attempt to isolate causal effects
  • 10. Major Weakness is External Validity (due to unknown interactions between variables, etc.)
  • 11. Key Ideas: Random Assignment Representativeness Experimental Control Experimental Manipulation Factorial Design Double Blind
  • 12. Random Assignment P r o b a b i l i t y o f B e i n g i n Treatment or Control Group Should Be Equal Composition of the Treatment or Control Group Should Be Similar Under Ideal Conditions this Eliminates other Confounds that could undermine Validity
  • 13. Would like to overall subject group to mirror the population of interest Example: If we are interested in studying juveniles than the composition of bot h our treatment and control groups should be juveniles Representativeness
  • 14. Experimental Control Classic Example is Medical Trial Involving a New Drug Experimental Group Given the New Drug Control Group Given the Sugar Pill How would Double Blind work in this context? What is a Placebo Effect?
  • 15. Experimental Manipulation Under Ideal Conditions this would be the only difference between treatment and control group Experimental Manipulation and Factorial Design Watch out for too many Manipulations at one time
  • 17. Concept: A variable is an attribute which describes a part of the makeup of an individual.‹ Examples are gender, age, employment status, income level, race, or education level.
  • 18. Studies are usually designed to collect and then compute the distribution and variation between and among the variables.
  • 19. It should be noted that a variable, by deïŹnition, must possess variation; if all of the studied population have the same attribute, for example they are all employed, that attribute is a constant rather than a variable. ‹
  • 20. There are different types of variables. One important division is between independent variables and dependent variables.‹
  • 21. Independent variables act as the potential cause. They inïŹ‚uence or predict an outcome from the dependent variable. They are the X’s on the right side of the equation.‹
  • 22. Dependent variables act as the effect (or potential effect). They may change because of the inïŹ‚uence of the independent variable. This is the Y on the left hand side of the equation.
  • 24. Categorical variables can take on one of a limited, and usually ïŹxed, number of possible values
  • 25. Nominal variables are variables that have two or more categories but which do not have an intrinsic order. For example, a real estate agent could classify their types of property into distinct categories such as houses, condos, co-ops or bungalows.
  • 26. Dichotomous variables are nominal variables which have only two categories or levels. For example, we could categorize somebody as either Treated or Not Treated as either "Yes" or “No”. In the real estate agent example, if type of property had been classiïŹed as either residential or commercial then "type of property" would be a dichotomous variable.
  • 27. Ordinal variables are variables that have two or more categories just like nominal variables only the categories can also be ordered or ranked. Large, Medium, Small, etc.
  • 28. Describe some variables could that could predict/determine the price of a house? How Are They Coded?
  • 29.
  • 30. School Quality New or Used Pool Garage Distance from City Center ... etc. BedRooms BathRooms Square Feet Lot Size Age of House Crime Rate
  • 32. Please note that “bias” in research terms is different. In normal language, bias is a prejudicial look at someone or something. ‹ ‹ In research, bias is an action or inaction which can skew the outcome. ‹ ‹ It does not have to be intentionally done. Bias in ScientiïŹc Study
  • 33. What is a Correlation?
  • 34. What is a Correlation?
  • 35.
  • 37. Sometimes the statistical test shows a clear and signiïŹcant relationship called a correlation between two variables. ‹ ‹ There is a tendency to then conclude that the correlation shows causation. It may (or may not). ‹ It could have nothing to do with causation or it could only have an indirect affect on the causation.
  • 38.
  • 39. Daniel Martin Katz @ computational computationallegalstudies.com lexpredict.com danielmartinkatz.com illinois tech - chicago kent college of law@