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Educational Research:
Causal-Comparative Studies



                       EDU 8603
                  Educational Research
              Richard M. Jacobs, OSA, Ph.D.
 causal-comparative research (“ ex post
 facto research”)
 …at least two different groups are
   compared on a dependent variable
   or measure of performance (called
   the “effect”) because the
   independent variable (called the
   “cause”) has already occurred or
   cannot be manipulated
Research variables...

Independent…
Independent
…an activity of characteristic
  believed to make a difference
  with respect to some behavior
…(syn.) experimental variable,
  cause, treatment
dependent variable…
            variable
…the change or difference occurring
  as a result of the independent
  variable
…(syn.) criterion variable, effect,
  outcome, posttest
A causal-comparative study…

…a study in which the researcher
 attempts to determine the cause, or
 reason, for pre-existing differences in
 groups of individuals
…called an “ex post facto” study
 because both the effect and the
 alleged cause have already occurred
 and must be studied in retrospect
Differences in causal-comparison
and correlational studies…

   causal-comparative studies…
    …attempt to identify cause-effect
     relationships
   correlational studies…
    …attempt to identify relationships
   causal-comparative studies…
    …involve two (or more) groups and one
     independent variable
   correlational studies…
    …typically involve two (or more)
     variables and one group
   causal-comparative studies…
    …involve making comparisons
   correlational studies…
    …involve establishing relationships
Differences in causal-comparison
and experimental studies…

   causal-comparative studies…
    …individuals are not randomly selected but
     selected because they belong to groups
   experimental studies…
    …individuals are randomly selected and
     assigned to two (or more) groups
   causal-comparative studies…
    …the researcher cannot manipulate the
     independent variable
   experimental studies…
    …the researcher manipulates the
     independent variable
   causal-comparative studies…
    …the independent variable has already
     occurred and cannot be manipulated
   experimental studies…
    …the researcher manipulates the
     independent variable to determine its
     effects
   causal-comparative studies…
    …the random sample is selected from two
     already-existing populations
   experimental studies…
    …the random sample is selected from a
     single population
Conducting a causal-comparative
study…

1. select the problem
2. select participants and instrument
3. design and procedure
4. data analysis and interpretation
1. select the problem…
  …the researcher starts with an effect
    and seeks its causes
  …the independent variable cannot or
    should not be manipulated
2. select the participants and instrument…
  …select samples representative of
    their respective populations and
    similar with respect to critical
    variables other than the independent
    variable
  …called “comparison groups”
                          groups
3. design and procedure…
  …the performance of the groups is
    compared using some valid
    dependent variable measure
    (“instrument”)
      instrument
  …lack of randomization, manipulation,
    and control are sources of weakness
 control
 …the process by which the researcher
  attempts to ensure that the findings
  are as free of researcher bias and
  error as possible
 types of control
  …random assignment of participants to
   groups
  …pair-wise matching
  …comparing homogeneous groups
  …comparing homogeneous subgroups
  …factorial analysis of variance
  …analysis of covariance
 random assignment of participants to
 groups
 …not possible in causal-comparative
   studies because the groups already
   exist and have already received the
   treatment
 pair-wise matching
 …first: find a participant in the second (third,
  fourth, etc.) group with the same or similar
  score on the control (nonmanipulated)
  variable as the participant in the first group
 …second: if a participant in either group
  does not have a suitable match, the
  participant is eliminated from the study
 comparing homogeneous groups
 …control for extraneous variables that
  are homogeneous with respect to the
  extraneous variables
 …limitation: lowers the number of
  participants in the study and, of
  course, limits the generalizability of
  the findings
 comparing homogeneous subgroups
 …form subgroups within each group that
  represent all levels of the control
  (nonmanipulated) variable
 …controls for the variable and also permits
  the researcher to determine whether the
  independent variable affects the dependent
  variable differently at different levels of the
  control (nonmanipulated) variable
 factorial analysis of variance
 (“FANOVA”)
  …building the control (nonmanipulated)
   variable into the research design
  …then use FANOVA to analyze the results
   to determine the effect of the independent
   and control (nonmanipulated) variable on
   the dependent variable, both separately
   and in combination
…FANOVA allows the researcher to
 determine if there is an interaction
 between the independent variable
 and the dependent variable such that
 the independent variable operates
 differently at different levels of the
 independent variable building it into
 the research design
 analysis of covariance (“ANCOVA”)
 …statistically adjusts initial group
  differences on a dependent variable for
  initial differences on some other variable
  related to performance on the dependent
  variable
 …removes initial differences so that the
  results can be fairly compared as if the two
  groups started equally
 symbolic representation of the basic
 causal-comparative design
                Independent     Dependent
     Group        Variable       Variable

      (E)             (X)            O
      (C)                            O

     Where: E (experimental group); C (control group);
     X (independent variable); O (dependent variable)
Independent     Dependent
Group        Variable       Variable

 (E)            (X1)            O
 (C)            (X2)            O

Where: E (experimental group); C (control group);
X (independent variable); O (dependent variable)
4. Data analysis and interpretation…
  …researcher uses a variety of
    descriptive and inferential statistics:
      mean                  t-test
      standard              analysis of
      deviation             variance
                            chi squared
 mean
 …the descriptive statistic indicating the
  average performance of an individual
  or group on a measure of some
  variable
 standard deviation
 …the descriptive statistic indicating the
  spread of a set of scores around the
  mean
 t-test
  …the inferential statistic indicating
   whether the means of two groups are
   significantly different from one
   another
 analysis of variance (“ANOVA”)
 …the inferential statistic indicating the
  presence of a significant difference
  among the means of three or more
  groups
 chi squared (Χ2)
 …the inferential statistic indicating that
  there is a greater than expected
  difference among group frequencies
Mini-Quiz…

 True   and false…

 …causal-comparative studies
  attempt to identify the cause-
  effect relationships; correlational
  studies do not
                           True
…causal-comparative studies typically
 involve two (or more) groups and one
 independent variable, whereas
 correlational studies typically involve
 two (or more) variables and one group
                          True
…causal-comparative studies involve
 relation, whereas correlational
 studies involve cause
                        False
…oftentimes, causal-comparative
 research is undertaken because the
 independent variable could be
 manipulated but should not
                        True
…one of the most important reasons
 for conducting causal-comparative
 research is to identify variables
 worthy of experimental investigation
                         True
…“lack of control” means that the
 researcher can and should
 manipulate the independent variable

                      False
…each group in a causal-comparative
 study represents a different
 population
                        True
…the more similar two groups are on
 all relevant variables except the
 independent variable, the stronger
 the study is
                        True
…there is random assignment to
 treatment groups from a single
 population in causal-comparative
 studies
                        False
…lack of randomization, manipulation
 of the independent variable, and
 control are all sources of weakness
 in a causal-comparative design
                         True
…matching, comparing homogenous
 groups or subgroups, and covariate
 analysis are strategies that enable
 researchers to overcome problems
 of initial group differences on an
 extraneous variable
                         True
…interpretation of the findings in a
 causal-comparative study requires
 considerable caution because the
 cause may be the effect and the
 effect may be the cause
                         True
…extraneous variables or confounding
 factors may be the real “cause” of
 both the independent and dependent
 variables
                        True
 Fill   in the blank…

  …groups selected for a causal-
   comparative study which differ on
   some independent variable and
   comparing them on some dependent
   variable
                         comparison groups
 Fill   in the blank…

  …unexplained variables that influence
   a dependent variable
                         confounding factors


                         extraneous variables
 Fill   in the blank…

  …a method for controlling extraneous
   variables by comparing groups that
   are homogeneous with respect to
   the extraneous variable
                    comparing homogeneous groups
 Fill   in the blank…

  …a method for controlling extraneous
   variables by forming subgroups
   within each group that represent all
   levels of the control variable
                   comparing homogeneous subgroups
 Fill   in the blank…

  …a statistical tool to determine the
   effects of the independent variable
   and the control variable on the
   dependent variable, both separately
   and in combination
                         factorial analysis of variance
 Fill   in the blank…

  …a statistical tool to adjust initial
   group differences on variables
                         analysis of covariance
 Fill   in the blank…

  …the descriptive statistic indicating
   the average performance of a group
   on a measure of some variable
                           mean
 Fill   in the blank…

  …the descriptive statistic indicating
   how clustered or spread out around
   the mean a set of scores is
                         standard deviation
 Fill   in the blank…

  …the inferential statistic determining
   whether there is a significant
   difference between the means of two
   groups
                           t-test
 Fill   in the blank…

  …the inferential statistic determining
   whether there is a significant
   difference between the means of
   three or more groups
                         analysis of variance
 Fill   in the blank…

  …the inferential statistic determining
   whether there is a greater than
   expected difference among group
   frequencies
                           chi squared
 Fill   in the blank…

  …activities by which a researcher
   endeavors to ensure that the results
   of a causal-comparative study are
   not tainted by extraneous variables
                          control
This module has focused on...

   causal-comparative studies

     …which identify the cause, or
      reason, for existing differences in
      the behavior or status of groups
The next module will focus on...

      experimental studies

       ...which test hypotheses to establish
          cause-and-effect relationships

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Causal

  • 1. Educational Research: Causal-Comparative Studies EDU 8603 Educational Research Richard M. Jacobs, OSA, Ph.D.
  • 2.  causal-comparative research (“ ex post facto research”) …at least two different groups are compared on a dependent variable or measure of performance (called the “effect”) because the independent variable (called the “cause”) has already occurred or cannot be manipulated
  • 3. Research variables... Independent… Independent …an activity of characteristic believed to make a difference with respect to some behavior …(syn.) experimental variable, cause, treatment
  • 4. dependent variable… variable …the change or difference occurring as a result of the independent variable …(syn.) criterion variable, effect, outcome, posttest
  • 5. A causal-comparative study… …a study in which the researcher attempts to determine the cause, or reason, for pre-existing differences in groups of individuals …called an “ex post facto” study because both the effect and the alleged cause have already occurred and must be studied in retrospect
  • 6. Differences in causal-comparison and correlational studies…  causal-comparative studies… …attempt to identify cause-effect relationships  correlational studies… …attempt to identify relationships
  • 7. causal-comparative studies… …involve two (or more) groups and one independent variable  correlational studies… …typically involve two (or more) variables and one group
  • 8. causal-comparative studies… …involve making comparisons  correlational studies… …involve establishing relationships
  • 9. Differences in causal-comparison and experimental studies…  causal-comparative studies… …individuals are not randomly selected but selected because they belong to groups  experimental studies… …individuals are randomly selected and assigned to two (or more) groups
  • 10. causal-comparative studies… …the researcher cannot manipulate the independent variable  experimental studies… …the researcher manipulates the independent variable
  • 11. causal-comparative studies… …the independent variable has already occurred and cannot be manipulated  experimental studies… …the researcher manipulates the independent variable to determine its effects
  • 12. causal-comparative studies… …the random sample is selected from two already-existing populations  experimental studies… …the random sample is selected from a single population
  • 13. Conducting a causal-comparative study… 1. select the problem 2. select participants and instrument 3. design and procedure 4. data analysis and interpretation
  • 14. 1. select the problem… …the researcher starts with an effect and seeks its causes …the independent variable cannot or should not be manipulated
  • 15. 2. select the participants and instrument… …select samples representative of their respective populations and similar with respect to critical variables other than the independent variable …called “comparison groups” groups
  • 16. 3. design and procedure… …the performance of the groups is compared using some valid dependent variable measure (“instrument”) instrument …lack of randomization, manipulation, and control are sources of weakness
  • 17.  control …the process by which the researcher attempts to ensure that the findings are as free of researcher bias and error as possible
  • 18.  types of control …random assignment of participants to groups …pair-wise matching …comparing homogeneous groups …comparing homogeneous subgroups …factorial analysis of variance …analysis of covariance
  • 19.  random assignment of participants to groups …not possible in causal-comparative studies because the groups already exist and have already received the treatment
  • 20.  pair-wise matching …first: find a participant in the second (third, fourth, etc.) group with the same or similar score on the control (nonmanipulated) variable as the participant in the first group …second: if a participant in either group does not have a suitable match, the participant is eliminated from the study
  • 21.  comparing homogeneous groups …control for extraneous variables that are homogeneous with respect to the extraneous variables …limitation: lowers the number of participants in the study and, of course, limits the generalizability of the findings
  • 22.  comparing homogeneous subgroups …form subgroups within each group that represent all levels of the control (nonmanipulated) variable …controls for the variable and also permits the researcher to determine whether the independent variable affects the dependent variable differently at different levels of the control (nonmanipulated) variable
  • 23.  factorial analysis of variance (“FANOVA”) …building the control (nonmanipulated) variable into the research design …then use FANOVA to analyze the results to determine the effect of the independent and control (nonmanipulated) variable on the dependent variable, both separately and in combination
  • 24. …FANOVA allows the researcher to determine if there is an interaction between the independent variable and the dependent variable such that the independent variable operates differently at different levels of the independent variable building it into the research design
  • 25.  analysis of covariance (“ANCOVA”) …statistically adjusts initial group differences on a dependent variable for initial differences on some other variable related to performance on the dependent variable …removes initial differences so that the results can be fairly compared as if the two groups started equally
  • 26.  symbolic representation of the basic causal-comparative design Independent Dependent Group Variable Variable (E) (X) O (C) O Where: E (experimental group); C (control group); X (independent variable); O (dependent variable)
  • 27. Independent Dependent Group Variable Variable (E) (X1) O (C) (X2) O Where: E (experimental group); C (control group); X (independent variable); O (dependent variable)
  • 28. 4. Data analysis and interpretation… …researcher uses a variety of descriptive and inferential statistics: mean t-test standard analysis of deviation variance chi squared
  • 29.  mean …the descriptive statistic indicating the average performance of an individual or group on a measure of some variable
  • 30.  standard deviation …the descriptive statistic indicating the spread of a set of scores around the mean
  • 31.  t-test …the inferential statistic indicating whether the means of two groups are significantly different from one another
  • 32.  analysis of variance (“ANOVA”) …the inferential statistic indicating the presence of a significant difference among the means of three or more groups
  • 33.  chi squared (Χ2) …the inferential statistic indicating that there is a greater than expected difference among group frequencies
  • 34. Mini-Quiz…  True and false… …causal-comparative studies attempt to identify the cause- effect relationships; correlational studies do not True
  • 35. …causal-comparative studies typically involve two (or more) groups and one independent variable, whereas correlational studies typically involve two (or more) variables and one group True
  • 36. …causal-comparative studies involve relation, whereas correlational studies involve cause False
  • 37. …oftentimes, causal-comparative research is undertaken because the independent variable could be manipulated but should not True
  • 38. …one of the most important reasons for conducting causal-comparative research is to identify variables worthy of experimental investigation True
  • 39. …“lack of control” means that the researcher can and should manipulate the independent variable False
  • 40. …each group in a causal-comparative study represents a different population True
  • 41. …the more similar two groups are on all relevant variables except the independent variable, the stronger the study is True
  • 42. …there is random assignment to treatment groups from a single population in causal-comparative studies False
  • 43. …lack of randomization, manipulation of the independent variable, and control are all sources of weakness in a causal-comparative design True
  • 44. …matching, comparing homogenous groups or subgroups, and covariate analysis are strategies that enable researchers to overcome problems of initial group differences on an extraneous variable True
  • 45. …interpretation of the findings in a causal-comparative study requires considerable caution because the cause may be the effect and the effect may be the cause True
  • 46. …extraneous variables or confounding factors may be the real “cause” of both the independent and dependent variables True
  • 47.  Fill in the blank… …groups selected for a causal- comparative study which differ on some independent variable and comparing them on some dependent variable comparison groups
  • 48.  Fill in the blank… …unexplained variables that influence a dependent variable confounding factors extraneous variables
  • 49.  Fill in the blank… …a method for controlling extraneous variables by comparing groups that are homogeneous with respect to the extraneous variable comparing homogeneous groups
  • 50.  Fill in the blank… …a method for controlling extraneous variables by forming subgroups within each group that represent all levels of the control variable comparing homogeneous subgroups
  • 51.  Fill in the blank… …a statistical tool to determine the effects of the independent variable and the control variable on the dependent variable, both separately and in combination factorial analysis of variance
  • 52.  Fill in the blank… …a statistical tool to adjust initial group differences on variables analysis of covariance
  • 53.  Fill in the blank… …the descriptive statistic indicating the average performance of a group on a measure of some variable mean
  • 54.  Fill in the blank… …the descriptive statistic indicating how clustered or spread out around the mean a set of scores is standard deviation
  • 55.  Fill in the blank… …the inferential statistic determining whether there is a significant difference between the means of two groups t-test
  • 56.  Fill in the blank… …the inferential statistic determining whether there is a significant difference between the means of three or more groups analysis of variance
  • 57.  Fill in the blank… …the inferential statistic determining whether there is a greater than expected difference among group frequencies chi squared
  • 58.  Fill in the blank… …activities by which a researcher endeavors to ensure that the results of a causal-comparative study are not tainted by extraneous variables control
  • 59. This module has focused on... causal-comparative studies …which identify the cause, or reason, for existing differences in the behavior or status of groups
  • 60. The next module will focus on... experimental studies ...which test hypotheses to establish cause-and-effect relationships