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Week 2 Continued:

         Variables




                     1
Independent and Dependent Variables
 Independent variable
    Variables that are thought to influence
     or explain variation in the dependent
     variable.
    Experimental treatment or predictor
     variables.
 Dependent variable
    Criterion or outcome variable.



                                               2
Examples of Independent Variables
 Teaching Method
 Diet Plan
 Medication
 Gender
 Age
 Treatment Condition
 Achievement Score




                                    3
Examples of Dependent Variables
   Attitudes
   Success in graduate school
   Homesickness of first year at college
   Success at controlling behavior
   Reduction of symptoms
   Achievement Score
   Time in 100 meter dash

*The independent and dependent variable depends
  on the research question being asked.


                                                  4
Variable Name vs. Variable Values
   Variable name - properties of objects,
    events, and people that can take on
    different values
      Hair color
      Gender
      Speed
      Goal orientation
      Self-esteem


                                             5
Variable Name vs. Variable Values
   Variable values: values of variable name

           Variable Name          Variable Value

      Hair color            Brown, blond, black, red

      Gender/sex            Male, female

      Goal orientation      Performance-approach,
                            Mastery-approach

      Speed                 MPH


      Self-esteem           Score on survey computed,
                            low, medium, high
                                                        6
Identifying IV and DV
   I want to determine if third grader’s math achievement
    significantly increases due to the use of manipulatives.

   Is there a significant difference in amount of students’
    dazing during a lecture hour among the three different
    room arrangements?

   Is there a significant difference in work productivity in a
    glue factory when working to a low tempo of music versus
    a high tempo of music?




                                                                  7
Identifying IV and DV
   Is there a significant difference in weight loss
    between those on a diet and those exercising?

   Does highest degree earned (GED, HS,college)
    affect social awareness?

   Is there a significant difference in cognitive
    development among infants born less than 4
    pounds, 4.1-6 pounds, and 6.1-8 pounds?

   Do elementary school boys and girls differ in their
    needs for social interaction?

                                                       8
Identifying IV and DV
      A researcher has developed a new aid for
       teaching 7th grade students about electric
       circuits. The researcher wants to know whether
       students’ knowledge of electric circuits
       increases more using the aid if they
      (a) explore it individually without instruction,
      (b) are given written instructions about it, or
      (c ) watch a demonstration of how it works.
      The researcher administers a pre- and post-test
       to assess students’ learning.



                                                     9
Identifying IV and DV’S

   A company wants to investigate the
    influence of three types of training
    programs (coworker, consultant, self) on
    employees’ job performance three months
    after the programs have been completed.




                                           10
Categorical vs. Continuous Variables

    Categorical variables
       Take on a small set of possible values
       Typically qualitative
       Also called “qualitative” or “discrete” variables
       Examples:


 Variable              Category
 Gender                Male, female
 Political party       Republican, Democrat, Independent
 Ethnicity             African American, White, Asian, Hispanic
 Parenting style       Passive, Authoritarian, Authoritative

                                                                  11
Discrete vs. Continuous Variables
    Continuous variables
       Always quantitative
       Measurement
       Less to more of something
       Able to put on a continuum and quantify (assign meaningful #
        to it)
       Examples:


 Variable                          Scale (Less to more)
 Age                               Years
 Temperature                       FO or CO
 Running time                      Minutes
 Heart rate                        Beats per minute
 Distance                          Miles, yards, meters
                                                                 12
Scales of Measurement
  Categorical           Continuous


Nominal   Ordinal   Interval    Ratio




                                        13
Scales of Measurement
   Nominal scale
       Labels items; often meaningless
       No scale quality

    Example: Male = 1 Female = 2 (dichotomous)

    Example: Blue eyes = 1 Brown eyes = 2 Green eyes = 3




                                                           14
Scales of Measurement
   Ordinal Scale
      Orders people, objects, events along some continuum
     Examples:
     1. Who did better on a test (rank order)

    2. Likert-type rating scales (1-4, 1-5, 1-7, etc.)

    3. Age transformed

    20-25 years = 1
    26-30 years = 2
    31-35 years = 3
    36-40 years = 4
    41-45 years = 5
    46 years and older= 6
                                                             15
Scales of Measurement
   Interval Scale
      Intervals have the same interpretation throughout
         Example: Difference between 30 degrees and 40
          degrees represents the same temperature difference
          as the difference between 80 and 90 degrees.

       Not perfect. No true zero point.
          0 degrees Fahrenheit does not mean the complete
           absence of temperature.
          Can’t compute ratio’s due to this fact.

              40 degrees not one-half of 80.
              80 degrees is not twice as hot as 40 degrees.
                 Because no true zero value!!


                                                               16
Scale of Measurement
   Ratio scale
      Most informative scale.
      Provides name or category for each object (numbers as
       labels).
      Objects are ordered (in terms of numbers).
      Same difference at two places on the scale has the same
       meaning.
      Interval scale with zero position added.
          So, can have absence of the quantity measured.

              Zero money (no money)
              Someone with 50 cents has twice as much money as
                someone with 25 cents
              Age, height, weight, percentage


                                                                  17
   Complete Assignment 1: Identifying Independent
    and Dependent Variable(s) and their Properties in
    a Research Question
   Note cards:
       Sample vs. Population
       Descriptive vs. Inferential statistics
       Variable name vs. value
       Independent vs. dependent variable
       Types of variables (Dichotomous, Categorical,
        Continuous)
       Scales of measurement (nominal, ordinal, interval,
        ratio)
                                                             18

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Variables

  • 1. Week 2 Continued: Variables 1
  • 2. Independent and Dependent Variables  Independent variable  Variables that are thought to influence or explain variation in the dependent variable.  Experimental treatment or predictor variables.  Dependent variable  Criterion or outcome variable. 2
  • 3. Examples of Independent Variables  Teaching Method  Diet Plan  Medication  Gender  Age  Treatment Condition  Achievement Score 3
  • 4. Examples of Dependent Variables  Attitudes  Success in graduate school  Homesickness of first year at college  Success at controlling behavior  Reduction of symptoms  Achievement Score  Time in 100 meter dash *The independent and dependent variable depends on the research question being asked. 4
  • 5. Variable Name vs. Variable Values  Variable name - properties of objects, events, and people that can take on different values  Hair color  Gender  Speed  Goal orientation  Self-esteem 5
  • 6. Variable Name vs. Variable Values  Variable values: values of variable name Variable Name Variable Value Hair color Brown, blond, black, red Gender/sex Male, female Goal orientation Performance-approach, Mastery-approach Speed MPH Self-esteem Score on survey computed, low, medium, high 6
  • 7. Identifying IV and DV  I want to determine if third grader’s math achievement significantly increases due to the use of manipulatives.  Is there a significant difference in amount of students’ dazing during a lecture hour among the three different room arrangements?  Is there a significant difference in work productivity in a glue factory when working to a low tempo of music versus a high tempo of music? 7
  • 8. Identifying IV and DV  Is there a significant difference in weight loss between those on a diet and those exercising?  Does highest degree earned (GED, HS,college) affect social awareness?  Is there a significant difference in cognitive development among infants born less than 4 pounds, 4.1-6 pounds, and 6.1-8 pounds?  Do elementary school boys and girls differ in their needs for social interaction? 8
  • 9. Identifying IV and DV  A researcher has developed a new aid for teaching 7th grade students about electric circuits. The researcher wants to know whether students’ knowledge of electric circuits increases more using the aid if they (a) explore it individually without instruction, (b) are given written instructions about it, or (c ) watch a demonstration of how it works. The researcher administers a pre- and post-test to assess students’ learning. 9
  • 10. Identifying IV and DV’S  A company wants to investigate the influence of three types of training programs (coworker, consultant, self) on employees’ job performance three months after the programs have been completed. 10
  • 11. Categorical vs. Continuous Variables  Categorical variables  Take on a small set of possible values  Typically qualitative  Also called “qualitative” or “discrete” variables  Examples: Variable Category Gender Male, female Political party Republican, Democrat, Independent Ethnicity African American, White, Asian, Hispanic Parenting style Passive, Authoritarian, Authoritative 11
  • 12. Discrete vs. Continuous Variables  Continuous variables  Always quantitative  Measurement  Less to more of something  Able to put on a continuum and quantify (assign meaningful # to it)  Examples: Variable Scale (Less to more) Age Years Temperature FO or CO Running time Minutes Heart rate Beats per minute Distance Miles, yards, meters 12
  • 13. Scales of Measurement Categorical Continuous Nominal Ordinal Interval Ratio 13
  • 14. Scales of Measurement  Nominal scale  Labels items; often meaningless  No scale quality Example: Male = 1 Female = 2 (dichotomous) Example: Blue eyes = 1 Brown eyes = 2 Green eyes = 3 14
  • 15. Scales of Measurement  Ordinal Scale  Orders people, objects, events along some continuum Examples: 1. Who did better on a test (rank order) 2. Likert-type rating scales (1-4, 1-5, 1-7, etc.) 3. Age transformed 20-25 years = 1 26-30 years = 2 31-35 years = 3 36-40 years = 4 41-45 years = 5 46 years and older= 6 15
  • 16. Scales of Measurement  Interval Scale  Intervals have the same interpretation throughout  Example: Difference between 30 degrees and 40 degrees represents the same temperature difference as the difference between 80 and 90 degrees.  Not perfect. No true zero point.  0 degrees Fahrenheit does not mean the complete absence of temperature.  Can’t compute ratio’s due to this fact.  40 degrees not one-half of 80.  80 degrees is not twice as hot as 40 degrees.  Because no true zero value!! 16
  • 17. Scale of Measurement  Ratio scale  Most informative scale.  Provides name or category for each object (numbers as labels).  Objects are ordered (in terms of numbers).  Same difference at two places on the scale has the same meaning.  Interval scale with zero position added.  So, can have absence of the quantity measured.  Zero money (no money)  Someone with 50 cents has twice as much money as someone with 25 cents  Age, height, weight, percentage 17
  • 18. Complete Assignment 1: Identifying Independent and Dependent Variable(s) and their Properties in a Research Question  Note cards:  Sample vs. Population  Descriptive vs. Inferential statistics  Variable name vs. value  Independent vs. dependent variable  Types of variables (Dichotomous, Categorical, Continuous)  Scales of measurement (nominal, ordinal, interval, ratio) 18