Material for this presentation has been taken from the seminal article by Don
Campbell and Julian Stanley:
Experimental and quasi-experimental designs for research on teaching, which was first published as Chapter 5 in
N.L Page (1963), Ed., Handbook of
Research on Teaching.
Two classes of factors that jeopardize the validity of research findings
Factors concerned with internal validity.
Do the research conditions warrant the conclusions?
Without internal validity results are uninterpretable.
Factors concerned with external validity.
To what extent can the results be generalized?
To what populations, settings, treatment variables, and measurement variables?
Internal validity is threatened whenever there exists the possibility of uncontrolled extraneous variables that might otherwise account for the results of a study.
Eight classes of extraneous variables can be identified.
History
Maturation
Testing
Instrumentation
Statistical regression
Selection
Research mortality
Interactions w/ selection
Specific events, in addition to the treatment, that occur between the first and second measurement.
The longer the interval between the pretest and posttest, the more viable this threat.
Changes in physical, intellectual, or emotional characteristics, that occur naturally over time, and that influence the results of a research study.
In longitudinal studies, for instance, individuals grow older, become more sophisticated, maybe more set in there ways.
Also called “pretest sensitization,” this refers to the effects of taking a test upon performance on a second testing.
Merely having been exposed to the pretest may influence performance on a posttest.
Testing becomes a more viable threat to internal validity as the time between pretest and posttest is shortened.
Changes in the way a test or other measuring instrument is calibrated that could account for results of a research study (different forms of a test can have different levels of difficulty).
This threat typically arises from unreliability in the measuring instrument.
Can also be present when using observers .
Occurs when individuals are selected for an intervention or treatment on the basis of extreme scores on a pretest.
Extreme scores are more likely to reflect larger (positive or negative) errors in measurement (chance factors).
Such extreme measurement errors are NOT likely to occur on a second testing .
This can occur when intact groups are compared.
The groups may have been different to begin with.
If three different classrooms are each exposed to a different intervention, the classroom performances may differ only because the groups were different to begin with.
Occurs when differential selection is confounded with maturational effects.
The treatment group might be composed of higher aptitude students, or…
The treatment group might have more students who are born during the summer months.
The differential loss of individuals from treatment and/or comparison groups.
This is often a problem when research participants are volunteers.
Volunteers may drop our of the study if they find it is consuming too much of their time.
Other’s may drop out if they find the task to be too arduous.
Interaction of Selection with the Other
Factors Affecting Internal Validity
Occurs when intact groups, which may not be equivalent, are selected to participate in research interventions.
As in a previous example, three different classrooms may be exposed to different treatments, but one of the classroom might be composed of students having higher achievement trajectories.
Concerned with whether the results of a study can be generalized beyond the study itself:
1.
Population validity (when the sample does not adequately represent the population).
2.
Personological validity (when personal/ psychological characteristics interact with the treatment).
3.
Ecological validity (when the situational characteristics of the study are not representative of the population).
External validity is threatened whenever conditions inherent in the research design are such that the generalizability of the results is limited.
Four classes of threats to external validity can be identified.
Reactive or interactive effects of testing
Interaction effect of selection bias and the intervention.
Reactive effects of treatment arrangements
Multiple treatment interference
Occurs whenever a pretest increases or decreases the respondents’ sensitivity to the treatment.
Studies involving self-report measures of attitude and interest are very susceptible to this threat.
This can occur when selected treatment or comparison groups are more or less sensitive to the treatment prior to initiating the treatment (or intervention).
Most likely to occur when the treatment and comparison groups are not randomly selected.
These can occur when the conditions of the study are such that the results are not likely to be replicated in nonexperimental situations.
Hawthorn effects
John Henry effects
Placebo effects
Novelty effects
This has a likelihood of occurring whenever the same research participants are exposed to multiple treatments.
Sequence effects
Carry-over effects
We will examine the operative threats to internal and external validity in twelve specific types of research designs.
Some symbols to be used:
R = Random Assignment
X = Treatment Intervention
O = Observation or Measurement
This is a widely-used research design in education.
A single group receives a treatment or intervention.
Following the treatment individuals are measured on some outcome variable:
It can be diagramed as follows:
X O
Design 1:
One-shot Case Study, Continued
This design is typical of a case study
Inferences typically are based upon
expectations of what the results would have been had X not occurred.
These designs often are subject to the error of misplaced precision, since they often involve tedious collection of specific detail and careful observations.
The problem is that there usually are numerous rival, plausible sources of effect on the outcome other than X .
Design 2:
One-group Pretest-Posttest Design
This, also, is a widely-used research design in education (see the diagram).
A pretest is given, followed by a treatment or intervention, followed by a posttest.
The difference between due to X .
O
1 and O
2 is used to infer an effect
This design is subject to four of the eight threats to internal validity and one of the threats to external validity.
Can you name them?
O
1
X O
2
One-group Pretest-Posttest Design (Continued)
Threats to internal validity
1.
History
Many change-producing events may have occurred between O
1 and O
2
.
History is more viable the longer the lapse between the pretest and posttest.
2.
Maturation
During the time between cynical.
O
1 and O
2 the individuals may have grown older, wiser, more tired, more wary, or more
3.
Testing
The fact that the participants in the study were exposed to a pretest may, by itself, influence performance on the posttest.
One-group Pretest-Posttest Design (Continued)
Threats to internal validity (continued)
4.
Instrumentation
If O
1 and O
2 are obtained from judges (or raters), for between the two sets of observations.
Standardized achievement tests might be re-normed between pretesting and postesting.
5.
Statistical regression
For example, if students are selected to participate in a remedial intervention because of extremely low scores on a pretest they are very likely, as a group, to score higher upon receiving the same (or similar) test as a posttest.
This results mainly from errors in measurement (or unreliability in the tests).
In this design (diagramed below) a non-random treatment group is compared to a non-random comparison group.
Problems associated with this design stem from the fact that that there is no way to substantiate that the treatment and comparison groups were equivalent to begin with.
X O
1
O
2
Threats to internal validity
1.
Selection
Here, intact groups, are being compared. It is possible that the treatment group was already prepared to do better (or worse) than the comparison group on O ; hence the treatment group might have performed differently from the comparison group even in the absence of X .
2.
Mortality
It is possible that differences between O
1 and O
2 are due to the fact that the nature of the treatment is such that participants drop out at higher rates than do participants in the comparison group.
Threats to internal validity (continued)
3.
Interactive effects (e.g., selections and maturation).
It may be that one of the groups being compared has a higher (or lower) achievement trajectory (e.g., when a more advanced class is compared with a lesser-advanced class).
The three designs discussed so far are usually referred to as pre-experimental designs.
We will now turn to a consideration of three true
experimental designs.
True experiments are characterized by random assignment:
Random assignment of individuals to treatment conditions.
Random assignment of treatment conditions to individuals.
When comparison groups are large enough
(usually, n > 20) and individuals are selected at random than representativeness can be assumed.
Design 4.
Pretest-posttest Control Group Design
R O
1
R O
2
X O
3
O
4
Here, individuals are randomly assigned to one of two groups: the treatment group and a comparison group.
The treatment group receives the intervention.
The groups are compared in terms of their
difference scores:
(M
O
3
- M
O
1
) vs (M
O
4
– M
O
2
)
Pretest-posttest Control Group Design (Continued)
This design, and the next two true-experimental designs, they control for all eight of the threats to internal validity.
Any differences between groups that might have existed prior to X are (assumed to be) controlled through random assignment.
Any effects do to history, maturation, testing, instrumentation, regression and so on would be expected to occur with equal frequency in both groups.
Pretest-posttest Control Group Design (Continued)
Factors affecting external validity:
1.
Interactions between the treatment and testing.
The occurs whenever the pretest sensitizes the treatment group to the effects of the treatment.
2.
Interactions between the treatment and group selection.
This can happen when the population from which the comparison group samples were selected is not the same as the target population.
3.
Reactive arrangements
Sometimes the setting for the study is artificially restrictive. When this occurs generalizability suffers.
This design enjoys several advantages.
1.
Both the main effect of testing and the interaction of testing and treatment are testable.
2.
There are multiple tests of the effect of X:
O
2
>O
1
; O
2
>O
4
; O
5
>O
6
; O
5
>O
3
R
R
R O
1
X O
2
R O
3
O
4
X O
5
O
6
Pretests are not always necessary. Given randomization of subjects to treatment conditions we can assume that the groups were equivalent prior to the treatment intervention.
In this design all the threats to internal validity are controlled for.
As far as external validity is concerned we might still question whether there might be reactive effects.
R
R
X O
O
2
1
Design 6 (continued) Randomized pretest-posttest control group design
pre
post
pre
post
pre
2
post
T O
M: ---------
C O
Validity depends upon how well matching is achieved
Potential threats to internal validity are same as those for posttest-only designs
More advanced Randomized Designs:
Randomized factorial designs
T
A1,B1
O
---------------
T
A1,B2
O
R: ---------------
T
A2,B1
O
---------------
T
A2,B2
O
Method (B)____
Word Type (A) Computer Handwriting
B
1
B
2
Easy A
1
Hard A
2
20
16
26
20
____________________________
In these designs, randomization is either not possible or not feasible.
Characterized by ...
using intact groups for treatment and comparison
manipulated independent variable
Often, the best we can expect from education research
Most widely-used quasi-design in education research.
O
1
X O
2
______________________________
O
3
O
4
Used to determine (and adjust where necessary) whether the groups were equivalent before onset of treatment.
Design 7 (Continued) Non-equivalent, control group, pretest-posttest design
O pre
T O post
-------------------------
O pre
C O post
Except for reactive effects, most threats to internal validity are controlled
Again settings and selection by treatment interactions pose threats to external validity
O
1
O
2
O
3
O
4
T O
5
O
6
O
7
O
8
Pre-observations to establish a baseline
A treatment intervention
Post-observations to establish new baseline
O
1
O
3
O
5
O
7
X
9
O
11
O
13
O
15
O
17
-----------------------------------------------
O
2
O
4
O
6
O
8
X
10
O
12
O
14
O
16
O
18
-----------------------------------------------
: : : : : : : : :
-----------------------------------------------
O
2
O
4
O
6
O
8
X
10
O
12
O
14
O
16
O
18
-----------------------------------------------
X
1
O
1
X
2
O
2
X
3
O
__________________________________________________
3
X
3
O
4
X
1
O
5
X
2
O
__________________________________________________
6
X
2
O
7
X
3
O
8
X
1
O
9
O
1
O
3
X
5
O
7
X
9
O
11
-------------------------------
O
2
O
4
X
6
O
8
X
10
O
12
R O
1
O
3
X
5
O
7
X
9
O
11
------------------------------------
R O
2
O
4
X
6
O
8
X
10
O
12
In certain types of situations these designs are very appropriate.
When the target population is very small.
Particularly applicable to clinical settings.
When studying specific behaviors of unique individuals.
Individuals serve as their own controls.
When we want to show that an intervention
can have an effect.
Similar to time-series designs, only with a single individual.
Repeated measurements over time
(baselines).
Subjects serve as their own controls.
Involve a manipulated independent variable (the intervention).
External validity is often difficult to establish.
Internal validity requires three things:
Repeated and reliable measurement.
Valid and reliable measuring instruments (or techniques).
Baseline stability.
Single variable rule (manipulate only one variable at a time.)
Reversal: A - B - A
Double reversal: A - B - A - B
Multiple baseline:
A is a period of no treatment
B is a period of treatment
This design involves alternating phases of baseline observation and treatment intervention, X:
0 0 0 0 | X 0 X 0 X 0
__________________________________ ________________________________________________________
Baseline Phase Treatment Phase
During the treatment phase the intervention is turned on and off.
0 0 0 0 X X X X 0 0 0 0
_____________________________ _______________________________ ____________________________
Baseline Phase Treatment Phase Post-treatment
One problem with this design is that it is sometimes considered unethical to discontinue treatment when the treatment has been shown to be effective.
0 0 0 0 X X X X 0 0 0 0 X X X X
_________________ _____________________ __________________ _____________________
Baseline Treatment Baseline Treatment
The advantage is that it leaves an effective treatment in place.
There are a wide variety of singlesubject designs:
Multiple baseline designs.
Alternating treatment designs.
Increasing/decreasing treatment intervention designs.
Replicated single-subject designs.
100
90
80
70
60
50
40
30
20
10
0
S ta ble Ba s e line P a tte rn
100
Increasing Baseline Pattern
80
60
40
20
0