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Experimental Design
Playing with
variables
The nature of experiments
 allow the investigator to control the
research situation so that causal
relationships among variables may
be evaluated
 One variable is manipulated and its
effect upon another variable is
measured, while other variables are
held constant
So… you’ve decided to do an
experiment
 Decisions… decisions… decisions
Decision 1: Independent Variable?
 value is changed or altered
independently of other variables
 hypothesized to be the causal influence
 categorical or continuous (?)
Experimental Treatments:
 alternative manipulations of the
Independent Variable
Experimental and Control Groups
 Control Group
 Experimental
Groups
 there can be more
than one treatment
level of the
Independent
Variable (basic or
factorial)
 there can be more
than one IV
0
5
10
15
20
25
Control Exp 3
IV
treatment
Experimental Groups
Decision 2: Dependent Variable
 The criterion or standard by which the
results are judged
 It is presumed that changes in the
Dependent Variable are the result of
changes in one or more Independent
Variable
 the choice of Dependent Variable
determines the type of answer that is
given to the research question
Decision 3: Test units/unit of
analysis
 The subjects or entities whose
responses to the experimental
treatment are being measured
 People are the most common test unit
in business research
Decision 4: Extraneous variables
 A number of extraneous or “other”
variables may affect the dependent
variable and distort the results
Conditions of constancy:
 When extraneous variables cannot be
eliminated we strive to hold Extraneous
Variables constant for all subjects
But, what about ___________?
 Problems… problems…
IMPACT OF THE RESEARCH SITUATION
Demand Characteristics: experimental design
procedures that unintentionally hint to subjects about
the experimenter’s hypothesis
 rumour
 instructions
 status and personality of researcher
 unintentional cues from experimenter
 experimental procedure itself
 Setting: Field versus Laboratory
Field versus Laboratory
 Field experiments: usually used to
fine-tune strategy and determine
sales volume
 Laboratory: used when control over
the experimental setting is more
important
Experimental Design
effects….
The Hawthorne effect
Subjects perform differently just because they
know they are are experimental subjects
Western Electric’s Hawthorne Plant 1939 study
of light intensity
The Guinea Pig effect
exhibit the behaviour that they think is expected
Potential Solutions:
run experiment for a longer period
use a control group
Deception (?)
Experimental Treatment Diffusion
 if treatment condition perceived as very desirable
relative to the control condition, members of the
control group may seek access to the treatment
condition
 Potential Solutions:
-have control group in another site
-of course, this introduces new variables!
John Henry Effect
 legend of black railway worker
 control group overcompensates
 Potential Solutions:
 don’t do threatening experiments
 don’t set up obviously competitive situations
 don’t tell control group that they are control group
• conduct in another location somewhere else
• unfortunately, produces new variable of different location,
neighbourhood, etc.!
Resentful Demoralization of Control
Group
 Control group artificially demoralized if perceives
experimental group receiving desirable treatment
being withheld from it
 Potential Solutions?
 what about giving control group some perk to compensate?
 don’t tell them they are control group! (but what about
informed consent?)… Use of Placebo… use of blinding…
Getting control….
 Design decisions
 Physical Control
– Holding the value or level of extraneous
variables constant throughout the course of
an experiment.
 Statistical Control
– Adjusting for the effects of confounding
variables by statistically adjusting the value
of the dependent variable for each
treatment conditions.
 Design Control
– Use of the experimental design to control
extraneous causal factors.
• Blinding is utilized to control subjects knowledge of
whether or not they have been given a particular
experimental treatment
• double-blind experiment
• secrecy
• but then violate principle of informed consent
• screen out or balance number of placebo reactors in
treatment & control groups
Blinding
Sampling
Who and How
And How to Screw It
up
Terms
 Sample
 Population (universe)
 Population element
 census
Why use a sample?
 Cost
 Speed
 Sufficiently accurate (decreasing
precision but maintaining accuracy)
 More accurate than a census (?)
 Destruction of test units
Stages in the Selection of a
Sample
Step 1: Define the
the target population
Step 2: Select
The Sampling
Frame
Step 3: Probability
OR Non-probability?
Step 4: Plan
Selection of
sampling
units
Step 5: Determine
Sample Size
Step 6: Select
Sampling units
Step 7: Conduct
Fieldwork
Step 1: Target Population
 The specific, complete group
relevant to the research project
 Who really has the information/data
you need
 How do you define your target
population
 Bases for defining the population of
interest include:
• Geography
• Demographics
• Use
• Awareness
Operational Definition
 A definition that gives meaning to a
concept by specifying the activities
necessary to measure it.
 “The population of interest is defined as
all women in the City of Lethbridge who
hold the most senior position in their
organization.”
 What variables need further definition?
Step 2: Sampling Frame
 The list of elements from which
a sample may be drawn.
 Also known as: working population.
 Examples?
Sampling Frame Error:
 error that occurs when certain
sample elements are not listed or
available and are not represented in
the sampling frame.
Sampling Units:
 A single element or group of
elements subject to selection in the
sample.
 Primary sampling unit
 Secondary sampling unit
Error: Less than perfectly.
representative samples.
 Random sampling error.
 Difference between the result of a sample and
the result of a census conducted using
identical procedures; a statistical fluctuation
that occurs because of chance variation in the
selection of the sample.
…Error
 Systematic or non-sampling error.
 Results from some imperfect aspect of
the research design that causes
response error or from a mistake in the
execution of the research
 Examples: Sample bias, mistakes in
recording responses, non-responses,
mortality etc,.
…Error
 Non-response error.
 The statistical difference between a
survey that includes only those who
responded and a survey that also
includes those that failed to respond.
Step 3: Choice!
 Probability Sample:
 A sampling technique in which every
member of the population will have a
known, nonzero probability of being
selected
Step 3: Choice!
 Non-Probability Sample:
 Units of the sample are chosen on the
basis of personal judgment or
convenience
 There are no statistical techniques for
measuring random sampling error in a
non-probability sample. Therefore,
generalizability is never statistically
appropriate.
Classification of Sampling
Methods
Sampling
Methods
Probability
Samples
Simple
Random
Cluster
Systematic Stratified
Non-
probability
Quota
Judgment
Convenience Snowball
Probability Sampling
Methods
 Simple Random Sampling
 the purest form of probability sampling.
 Assures each element in the population
has an equal chance of being included in
the sample
 Random number generators
Probability of Selection =
Sample Size
Population Size
 Advantages
 minimal knowledge of population needed
 External validity high; internal validity
high; statistical estimation of error
 Easy to analyze data
 Disadvantages
 High cost; low frequency of use
 Requires sampling frame
 Does not use researchers’ expertise
 Larger risk of random error than stratified
 Systematic Sampling
 An initial starting point is selected by a
random process, and then every nth
number on the list is selected
 n=sampling interval
 The number of population elements
between the units selected for the
sample
 Error: periodicity- the original list has a
systematic pattern
 ?? Is the list of elements randomized??
 Advantages
 Moderate cost; moderate usage
 External validity high; internal validity
high; statistical estimation of error
 Simple to draw sample; easy to verify
 Disadvantages
 Periodic ordering
 Requires sampling frame
 Stratified Sampling
 Sub-samples are randomly drawn from
samples within different strata that are
more or less equal on some characteristic
 Why?
Can reduce random error
More accurately reflect the
population by more proportional
representation
 How?
1.Identify variable(s) as an efficient
basis for stratification. Must be known
to be related to dependent variable.
Usually a categorical variable
2.Complete list of population elements
must be obtained
3.Use randomization to take a simple
random sample from each stratum
 Types of Stratified Samples
 Proportional Stratified Sample:
 The number of sampling units drawn
from each stratum is in proportion to
the relative population size of that
stratum
 Disproportional Stratified Sample:
 The number of sampling units drawn
from each stratum is allocated
according to analytical considerations
e.g. as variability increases sample
size of stratum should increase
 Types of Stratified Samples…
 Optimal allocation stratified sample:
 The number of sampling units drawn from
each stratum is determined on the basis of
both size and variation.
 Calculated statistically
 Advantages
 Assures representation of all groups in
sample population needed
 Characteristics of each stratum can be
estimated and comparisons made
 Reduces variability from systematic
 Disadvantages
 Requires accurate information on
proportions of each stratum
 Stratified lists costly to prepare
 Cluster Sampling
 The primary sampling unit is not the
individual element, but a large cluster of
elements. Either the cluster is randomly
selected or the elements within are
randomly selected
 Why? Frequently used when no list of
population available or because of cost
Ask: is the cluster as heterogeneous as
the population? Can we assume it is
representative?
 Cluster Sampling example
 You are asked to create a sample of all
Management students who are working in
Lethbridge during the summer term
 There is no such list available
 Using stratified sampling, compile a list of
businesses in Lethbridge to identify
clusters
 Individual workers within these clusters
are selected to take part in study
 Types of Cluster Samples
 Area sample:
 Primary sampling unit is a
geographical area
 Multistage area sample:
 Involves a combination of two or more
types of probability sampling
techniques. Typically, progressively
smaller geographical areas are
randomly selected in a series of steps
 Advantages
 Low cost/high frequency of use
 Requires list of all clusters, but only of
individuals within chosen clusters
 Can estimate characteristics of both cluster and
population
 For multistage, has strengths of used methods
 Disadvantages
 Larger error for comparable size than other
probability methods
 Multistage very expensive and validity depends
on other methods used
Classification of Sampling
Methods
Sampling
Methods
Probability
Samples
Simple
Random
Cluster
Systematic Stratified
Non-
probability
Quota
Judgment
Convenience Snowball
Non-Probability Sampling
Methods
 Convenience Sample
 The sampling procedure used to obtain
those units or people most conveniently
available
 Why: speed and cost
 External validity?
 Internal validity
 Is it ever justified?
 Advantages
 Very low cost
 Extensively used/understood
 No need for list of population elements
 Disadvantages
 Variability and bias cannot be measured
or controlled
 Projecting data beyond sample not
justified.
 Judgment or Purposive Sample
 The sampling procedure in which an
experienced research selects the sample
based on some appropriate characteristic
of sample members… to serve a purpose
 Advantages
 Moderate cost
 Commonly used/understood
 Sample will meet a specific objective
 Disadvantages
 Bias!
 Projecting data beyond sample not
justified.
 Quota Sample
 The sampling procedure that ensure that
a certain characteristic of a population
sample will be represented to the exact
extent that the investigator desires
 Advantages
 moderate cost
 Very extensively used/understood
 No need for list of population elements
 Introduces some elements of
stratification
 Disadvantages
 Variability and bias cannot be measured
or controlled (classification of subjects0
 Projecting data beyond sample not
justified.
 Snowball sampling
 The sampling procedure in which the
initial respondents are chosen by
probability methods, and then additional
respondents are obtained by information
provided by the initial respondents
 Advantages
 low cost
 Useful in specific circumstances
 Useful for locating rare populations
 Disadvantages
 Bias because sampling units not
independent
 Projecting data beyond sample not
justified.

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Experimental Design1.ppt

  • 2. The nature of experiments  allow the investigator to control the research situation so that causal relationships among variables may be evaluated  One variable is manipulated and its effect upon another variable is measured, while other variables are held constant
  • 3. So… you’ve decided to do an experiment  Decisions… decisions… decisions
  • 4. Decision 1: Independent Variable?  value is changed or altered independently of other variables  hypothesized to be the causal influence  categorical or continuous (?) Experimental Treatments:  alternative manipulations of the Independent Variable
  • 5. Experimental and Control Groups  Control Group  Experimental Groups  there can be more than one treatment level of the Independent Variable (basic or factorial)  there can be more than one IV 0 5 10 15 20 25 Control Exp 3 IV treatment Experimental Groups
  • 6. Decision 2: Dependent Variable  The criterion or standard by which the results are judged  It is presumed that changes in the Dependent Variable are the result of changes in one or more Independent Variable  the choice of Dependent Variable determines the type of answer that is given to the research question
  • 7. Decision 3: Test units/unit of analysis  The subjects or entities whose responses to the experimental treatment are being measured  People are the most common test unit in business research
  • 8. Decision 4: Extraneous variables  A number of extraneous or “other” variables may affect the dependent variable and distort the results Conditions of constancy:  When extraneous variables cannot be eliminated we strive to hold Extraneous Variables constant for all subjects
  • 9. But, what about ___________?  Problems… problems…
  • 10. IMPACT OF THE RESEARCH SITUATION Demand Characteristics: experimental design procedures that unintentionally hint to subjects about the experimenter’s hypothesis  rumour  instructions  status and personality of researcher  unintentional cues from experimenter  experimental procedure itself  Setting: Field versus Laboratory
  • 11. Field versus Laboratory  Field experiments: usually used to fine-tune strategy and determine sales volume  Laboratory: used when control over the experimental setting is more important
  • 13. The Hawthorne effect Subjects perform differently just because they know they are are experimental subjects Western Electric’s Hawthorne Plant 1939 study of light intensity The Guinea Pig effect exhibit the behaviour that they think is expected Potential Solutions: run experiment for a longer period use a control group Deception (?)
  • 14. Experimental Treatment Diffusion  if treatment condition perceived as very desirable relative to the control condition, members of the control group may seek access to the treatment condition  Potential Solutions: -have control group in another site -of course, this introduces new variables!
  • 15. John Henry Effect  legend of black railway worker  control group overcompensates  Potential Solutions:  don’t do threatening experiments  don’t set up obviously competitive situations  don’t tell control group that they are control group • conduct in another location somewhere else • unfortunately, produces new variable of different location, neighbourhood, etc.!
  • 16. Resentful Demoralization of Control Group  Control group artificially demoralized if perceives experimental group receiving desirable treatment being withheld from it  Potential Solutions?  what about giving control group some perk to compensate?  don’t tell them they are control group! (but what about informed consent?)… Use of Placebo… use of blinding…
  • 18.  Physical Control – Holding the value or level of extraneous variables constant throughout the course of an experiment.  Statistical Control – Adjusting for the effects of confounding variables by statistically adjusting the value of the dependent variable for each treatment conditions.  Design Control – Use of the experimental design to control extraneous causal factors.
  • 19. • Blinding is utilized to control subjects knowledge of whether or not they have been given a particular experimental treatment • double-blind experiment • secrecy • but then violate principle of informed consent • screen out or balance number of placebo reactors in treatment & control groups Blinding
  • 20. Sampling Who and How And How to Screw It up
  • 21. Terms  Sample  Population (universe)  Population element  census
  • 22. Why use a sample?  Cost  Speed  Sufficiently accurate (decreasing precision but maintaining accuracy)  More accurate than a census (?)  Destruction of test units
  • 23. Stages in the Selection of a Sample Step 1: Define the the target population Step 2: Select The Sampling Frame Step 3: Probability OR Non-probability? Step 4: Plan Selection of sampling units Step 5: Determine Sample Size Step 6: Select Sampling units Step 7: Conduct Fieldwork
  • 24. Step 1: Target Population  The specific, complete group relevant to the research project  Who really has the information/data you need  How do you define your target population
  • 25.  Bases for defining the population of interest include: • Geography • Demographics • Use • Awareness
  • 26. Operational Definition  A definition that gives meaning to a concept by specifying the activities necessary to measure it.  “The population of interest is defined as all women in the City of Lethbridge who hold the most senior position in their organization.”  What variables need further definition?
  • 27. Step 2: Sampling Frame  The list of elements from which a sample may be drawn.  Also known as: working population.  Examples?
  • 28. Sampling Frame Error:  error that occurs when certain sample elements are not listed or available and are not represented in the sampling frame.
  • 29. Sampling Units:  A single element or group of elements subject to selection in the sample.  Primary sampling unit  Secondary sampling unit
  • 30. Error: Less than perfectly. representative samples.  Random sampling error.  Difference between the result of a sample and the result of a census conducted using identical procedures; a statistical fluctuation that occurs because of chance variation in the selection of the sample.
  • 31. …Error  Systematic or non-sampling error.  Results from some imperfect aspect of the research design that causes response error or from a mistake in the execution of the research  Examples: Sample bias, mistakes in recording responses, non-responses, mortality etc,.
  • 32. …Error  Non-response error.  The statistical difference between a survey that includes only those who responded and a survey that also includes those that failed to respond.
  • 33. Step 3: Choice!  Probability Sample:  A sampling technique in which every member of the population will have a known, nonzero probability of being selected
  • 34. Step 3: Choice!  Non-Probability Sample:  Units of the sample are chosen on the basis of personal judgment or convenience  There are no statistical techniques for measuring random sampling error in a non-probability sample. Therefore, generalizability is never statistically appropriate.
  • 36. Probability Sampling Methods  Simple Random Sampling  the purest form of probability sampling.  Assures each element in the population has an equal chance of being included in the sample  Random number generators Probability of Selection = Sample Size Population Size
  • 37.  Advantages  minimal knowledge of population needed  External validity high; internal validity high; statistical estimation of error  Easy to analyze data  Disadvantages  High cost; low frequency of use  Requires sampling frame  Does not use researchers’ expertise  Larger risk of random error than stratified
  • 38.  Systematic Sampling  An initial starting point is selected by a random process, and then every nth number on the list is selected  n=sampling interval  The number of population elements between the units selected for the sample  Error: periodicity- the original list has a systematic pattern  ?? Is the list of elements randomized??
  • 39.  Advantages  Moderate cost; moderate usage  External validity high; internal validity high; statistical estimation of error  Simple to draw sample; easy to verify  Disadvantages  Periodic ordering  Requires sampling frame
  • 40.  Stratified Sampling  Sub-samples are randomly drawn from samples within different strata that are more or less equal on some characteristic  Why? Can reduce random error More accurately reflect the population by more proportional representation
  • 41.  How? 1.Identify variable(s) as an efficient basis for stratification. Must be known to be related to dependent variable. Usually a categorical variable 2.Complete list of population elements must be obtained 3.Use randomization to take a simple random sample from each stratum
  • 42.  Types of Stratified Samples  Proportional Stratified Sample:  The number of sampling units drawn from each stratum is in proportion to the relative population size of that stratum  Disproportional Stratified Sample:  The number of sampling units drawn from each stratum is allocated according to analytical considerations e.g. as variability increases sample size of stratum should increase
  • 43.  Types of Stratified Samples…  Optimal allocation stratified sample:  The number of sampling units drawn from each stratum is determined on the basis of both size and variation.  Calculated statistically
  • 44.  Advantages  Assures representation of all groups in sample population needed  Characteristics of each stratum can be estimated and comparisons made  Reduces variability from systematic  Disadvantages  Requires accurate information on proportions of each stratum  Stratified lists costly to prepare
  • 45.  Cluster Sampling  The primary sampling unit is not the individual element, but a large cluster of elements. Either the cluster is randomly selected or the elements within are randomly selected  Why? Frequently used when no list of population available or because of cost Ask: is the cluster as heterogeneous as the population? Can we assume it is representative?
  • 46.  Cluster Sampling example  You are asked to create a sample of all Management students who are working in Lethbridge during the summer term  There is no such list available  Using stratified sampling, compile a list of businesses in Lethbridge to identify clusters  Individual workers within these clusters are selected to take part in study
  • 47.  Types of Cluster Samples  Area sample:  Primary sampling unit is a geographical area  Multistage area sample:  Involves a combination of two or more types of probability sampling techniques. Typically, progressively smaller geographical areas are randomly selected in a series of steps
  • 48.  Advantages  Low cost/high frequency of use  Requires list of all clusters, but only of individuals within chosen clusters  Can estimate characteristics of both cluster and population  For multistage, has strengths of used methods  Disadvantages  Larger error for comparable size than other probability methods  Multistage very expensive and validity depends on other methods used
  • 50. Non-Probability Sampling Methods  Convenience Sample  The sampling procedure used to obtain those units or people most conveniently available  Why: speed and cost  External validity?  Internal validity  Is it ever justified?
  • 51.  Advantages  Very low cost  Extensively used/understood  No need for list of population elements  Disadvantages  Variability and bias cannot be measured or controlled  Projecting data beyond sample not justified.
  • 52.  Judgment or Purposive Sample  The sampling procedure in which an experienced research selects the sample based on some appropriate characteristic of sample members… to serve a purpose
  • 53.  Advantages  Moderate cost  Commonly used/understood  Sample will meet a specific objective  Disadvantages  Bias!  Projecting data beyond sample not justified.
  • 54.  Quota Sample  The sampling procedure that ensure that a certain characteristic of a population sample will be represented to the exact extent that the investigator desires
  • 55.  Advantages  moderate cost  Very extensively used/understood  No need for list of population elements  Introduces some elements of stratification  Disadvantages  Variability and bias cannot be measured or controlled (classification of subjects0  Projecting data beyond sample not justified.
  • 56.  Snowball sampling  The sampling procedure in which the initial respondents are chosen by probability methods, and then additional respondents are obtained by information provided by the initial respondents
  • 57.  Advantages  low cost  Useful in specific circumstances  Useful for locating rare populations  Disadvantages  Bias because sampling units not independent  Projecting data beyond sample not justified.