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Experiment Basics: Variables
Psych 231: Research
Methods in Psychology
Variables
 Independent variables (explanatory)
 Dependent variables (response)
 Extraneous variables
 Control variables
 Random variables
 Confound variables
Dependent Variables
 The variables that are measured by the
experimenter
 They are “dependent” on the independent
variables (if there is a relationship between the IV
and DV as the hypothesis predicts).
 Consider our class experiment
 Conceptual level: Memory
 Operational level: Recall test
 Present list of words, participants make a
judgment for each word
 15 sec. of filler (counting backwards by 3’s)
 Measure the accuracy of recall
Choosing your dependent variable
 How to measure your your construct:
 Can the participant provide self-report?
• Introspection – specially trained observers of their own thought
processes, method fell out of favor in early 1900’s
• Rating scales – strongly agree-agree-undecided-disagree-
strongly disagree
 Is the dependent variable directly observable?
• Choice/decision (sometimes timed)
 Is the dependent variable indirectly observable?
• Physiological measures (e.g. GSR, heart rate)
• Behavioral measures (e.g. speed, accuracy)
Measuring your dependent variables
 Scales of measurement
 Errors in measurement
Measuring your dependent variables
 Scales of measurement
 Errors in measurement
Measuring your dependent variables
 Scales of measurement - the correspondence
between the numbers representing the
properties that we’re measuring
 The scale that you use will (partially) determine what
kinds of statistical analyses you can perform
Scales of measurement
 Categorical variables (qualitative)
 Quantitative variables
 Nominal scale
Scales of measurement
 Label and categorize observations,
 Do not make any quantitative distinctions between
observations.
 Example:
• Eye color:
blue, green, brown, hazel
 Nominal Scale: Consists of a set of categories that have
different names.
Scales of measurement
 Categorical variables (qualitative)
 Nominal scale
 Ordinal scale
 Quantitative variables
 Interval scale
 Ratio scale
Categories
Scales of measurement
 Rank observations in terms of size or magnitude.
 Example:
• T-shirt size:
Small, Med, Lrg, XL, XXL
 Ordinal Scale: Consists of a set of categories that are
organized in an ordered sequence.
Scales of measurement
 Categorical variables
 Nominal scale
 Ordinal scale
 Quantitative variables
 Interval scale
 Ratio scale
Categories
Categories with order
Scales of measurement
 Interval Scale: Consists of ordered categories where all of the
categories are intervals of exactly the same size.
 Example: Fahrenheit temperature scale
20º
40º “Not Twice as hot”
 With an interval scale, equal differences between numbers on
the scale reflect equal differences in magnitude.
 However, Ratios of magnitudes are not meaningful.
20º 40º The amount of temperature
increase is the same
60º 80º
20º increase
20º increase
Scales of measurement
 Categorical variables
 Nominal scale
 Ordinal scale
 Quantitative variables
 Interval scale
 Ratio scale
Categories
Categories with order
Ordered Categories of
same size
Scales of measurement
 Ratios of numbers DO reflect ratios of magnitude.
 It is easy to get ratio and interval scales confused
• Example: Measuring your height with playing cards
 Ratio scale: An interval scale with the additional feature
of an absolute zero point.
Scales of measurement
Ratio scale
8 cards high
Scales of measurement
Interval scale
5 cards high
Scales of measurement
Interval scale
Ratio scale
8 cards high 5 cards high
0 cards high
means ‘no
height’
0 cards high
means ‘as tall as
the table’
Scales of measurement
 Categorical variables
 Nominal scale
 Ordinal scale
 Quantitative variables
 Interval scale
 Ratio scale
Categories
Categories with order
Ordered Categories of
same size
Ordered Categories of same
size with zero point
• Given a choice, usually prefer highest level of
measurement possible
“Best” Scale?
Measuring your dependent variables
 Scales of measurement
 Errors in measurement
 Reliability & Validity
Example: Measuring intelligence?
Measuring the true score
 How do we measure the
construct?
 How good is our
measure?
 How does it compare to
other measures of the
construct?
 Is it a self-consistent
measure?
Errors in measurement
 In search of the “true score”
 Reliability
• Do you get the same value with multiple measurements?
 Validity
• Does your measure really measure the construct?
• Is there bias in our measurement? (systematic error)
Dartboard analogy
Bull’s eye = the “true score”
Dartboard analogy
Bull’s eye = the “true score”
Reliability = consistency
Validity = measuring what is intended
reliable
valid
reliable
invalid
unreliable
invalid
Reliability
 True score + measurement error
 A reliable measure will have a small amount of
error
 Multiple “kinds” of reliability
Reliability
 Test-restest reliability
 Test the same participants more than once
• Measurement from the same person at two
different times
• Should be consistent across different
administrations
Reliable Unreliable
Reliability
 Internal consistency reliability
 Multiple items testing the same construct
 Extent to which scores on the items of a measure
correlate with each other
• Cronbach’s alpha (α)
• Split-half reliability
• Correlation of score on one half of the measure with
the other half (randomly determined)
Reliability
 Inter-rater reliability
 At least 2 raters observe behavior
 Extent to which raters agree in their observations
• Are the raters consistent?
 Requires some training in judgment
5:00
4:56
Validity
 Does your measure really measure what it is
supposed to measure?
 There are many “kinds” of validity
VALIDITY
CONSTRUCT
CRITERION-
ORIENTED
DISCRIMINANT
CONVERGENT
PREDICTIVE
CONCURRENT
FACE
INTERNAL EXTERNAL
Many kinds of Validity
VALIDITY
CONSTRUCT
CRITERION-
ORIENTED
DISCRIMINANT
CONVERGENT
PREDICTIVE
CONCURRENT
FACE
INTERNAL EXTERNAL
Many kinds of Validity
Face Validity
 At the surface level, does it look as if the
measure is testing the construct?
“This guy seems smart to me,
and
he got a high score on my IQ measure.”
Construct Validity
 Usually requires multiple studies, a large body
of evidence that supports the claim that the
measure really tests the construct
Internal Validity
 Did the change in the
DV result from the
changes in the IV or
does it come from
something else?
 The precision of the results
Threats to internal validity
 History – an event happens the experiment
 Maturation – participants get older (and other
changes)
 Selection – nonrandom selection may lead to biases
 Mortality – participants drop out or can’t continue
 Testing – being in the study actually influences how
the participants respond
External Validity
 Are experiments “real life” behavioral situations,
or does the process of control put too much
limitation on the “way things really work?”
External Validity
 Variable representativeness
 Relevant variables for the behavior studied along
which the sample may vary
 Subject representativeness
 Characteristics of sample and target population
along these relevant variables
 Setting representativeness
 Ecological validity - are the properties of the
research setting similar to those outside the lab
Variables
 Independent variables (explanatory)
 Dependent variables (response)
 Extraneous variables
 Control variables
 Random variables
 Confound variables
Extraneous Variables
 Control variables
 Holding things constant - Controls for excessive random
variability
 Random variables – may freely vary, to spread variability
equally across all experimental conditions
 Randomization
• A procedure that assures that each level of an extraneous variable has an
equal chance of occurring in all conditions of observation.
 Confound variables
 Variables that haven’t been accounted for (manipulated,
measured, randomized, controlled) that can impact changes in
the dependent variable(s)
 Co-varys with both the dependent AND an independent
variable
Colors and words
 Divide into two groups:
 men
 women
 Instructions: Read aloud the COLOR that the words are
presented in. When done raise your hand.
 Women first. Men please close your eyes.
 Okay ready?
Blue
Green
Red
Purple
Yellow
Green
Purple
Blue
Red
Yellow
Blue
Red
Green
List 1
 Okay, now it is the men’s turn.
 Remember the instructions: Read aloud the
COLOR that the words are presented in. When
done raise your hand.
 Okay ready?
Blue
Green
Red
Purple
Yellow
Green
Purple
Blue
Red
Yellow
Blue
Red
Green
List 2
Our results
 So why the difference between the results for
men versus women?
 Is this support for a theory that proposes:
 “Women are good color identifiers, men are not”
 Why or why not? Let’s look at the two lists.
Blue
Green
Red
Purple
Yellow
Green
Purple
Blue
Red
Yellow
Blue
Red
Green
List 2
Men
Blue
Green
Red
Purple
Yellow
Green
Purple
Blue
Red
Yellow
Blue
Red
Green
List 1
Women
Matched Mis-Matched
 What resulted in the performance
difference?
 Our manipulated independent variable
(men vs. women)
 The other variable match/mis-match?
 Because the two variables are
perfectly correlated we can’t tell
 This is the problem with confounds
Blue
Green
Red
Purple
Yellow
Green
Purple
Blue
Red
Yellow
Blue
Red
Green
Blue
Green
Red
Purple
Yellow
Green
Purple
Blue
Red
Yellow
Blue
Red
Green
IV
DV
Confound
Co-vary together
 What DIDN’T result in the performance
difference?
 Extraneous variables
 Control
• # of words on the list
• The actual words that were printed
 Random
• Age of the men and women in the groups
 These are not confounds, because
they don’t co-vary with the IV
Blue
Green
Red
Purple
Yellow
Green
Purple
Blue
Red
Yellow
Blue
Red
Green
Blue
Green
Red
Purple
Yellow
Green
Purple
Blue
Red
Yellow
Blue
Red
Green
“Debugging your study”
 Pilot studies
 A trial run through
 Don’t plan to publish these results, just try out the
methods
 Manipulation checks
 An attempt to directly measure whether the IV
variable really affects the DV.
 Look for correlations with other measures of the
desired effects.

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Experiment basics

  • 1. Experiment Basics: Variables Psych 231: Research Methods in Psychology
  • 2. Variables  Independent variables (explanatory)  Dependent variables (response)  Extraneous variables  Control variables  Random variables  Confound variables
  • 3. Dependent Variables  The variables that are measured by the experimenter  They are “dependent” on the independent variables (if there is a relationship between the IV and DV as the hypothesis predicts).  Consider our class experiment  Conceptual level: Memory  Operational level: Recall test  Present list of words, participants make a judgment for each word  15 sec. of filler (counting backwards by 3’s)  Measure the accuracy of recall
  • 4. Choosing your dependent variable  How to measure your your construct:  Can the participant provide self-report? • Introspection – specially trained observers of their own thought processes, method fell out of favor in early 1900’s • Rating scales – strongly agree-agree-undecided-disagree- strongly disagree  Is the dependent variable directly observable? • Choice/decision (sometimes timed)  Is the dependent variable indirectly observable? • Physiological measures (e.g. GSR, heart rate) • Behavioral measures (e.g. speed, accuracy)
  • 5. Measuring your dependent variables  Scales of measurement  Errors in measurement
  • 6. Measuring your dependent variables  Scales of measurement  Errors in measurement
  • 7. Measuring your dependent variables  Scales of measurement - the correspondence between the numbers representing the properties that we’re measuring  The scale that you use will (partially) determine what kinds of statistical analyses you can perform
  • 8. Scales of measurement  Categorical variables (qualitative)  Quantitative variables  Nominal scale
  • 9. Scales of measurement  Label and categorize observations,  Do not make any quantitative distinctions between observations.  Example: • Eye color: blue, green, brown, hazel  Nominal Scale: Consists of a set of categories that have different names.
  • 10. Scales of measurement  Categorical variables (qualitative)  Nominal scale  Ordinal scale  Quantitative variables  Interval scale  Ratio scale Categories
  • 11. Scales of measurement  Rank observations in terms of size or magnitude.  Example: • T-shirt size: Small, Med, Lrg, XL, XXL  Ordinal Scale: Consists of a set of categories that are organized in an ordered sequence.
  • 12. Scales of measurement  Categorical variables  Nominal scale  Ordinal scale  Quantitative variables  Interval scale  Ratio scale Categories Categories with order
  • 13. Scales of measurement  Interval Scale: Consists of ordered categories where all of the categories are intervals of exactly the same size.  Example: Fahrenheit temperature scale 20º 40º “Not Twice as hot”  With an interval scale, equal differences between numbers on the scale reflect equal differences in magnitude.  However, Ratios of magnitudes are not meaningful. 20º 40º The amount of temperature increase is the same 60º 80º 20º increase 20º increase
  • 14. Scales of measurement  Categorical variables  Nominal scale  Ordinal scale  Quantitative variables  Interval scale  Ratio scale Categories Categories with order Ordered Categories of same size
  • 15. Scales of measurement  Ratios of numbers DO reflect ratios of magnitude.  It is easy to get ratio and interval scales confused • Example: Measuring your height with playing cards  Ratio scale: An interval scale with the additional feature of an absolute zero point.
  • 16. Scales of measurement Ratio scale 8 cards high
  • 17. Scales of measurement Interval scale 5 cards high
  • 18. Scales of measurement Interval scale Ratio scale 8 cards high 5 cards high 0 cards high means ‘no height’ 0 cards high means ‘as tall as the table’
  • 19. Scales of measurement  Categorical variables  Nominal scale  Ordinal scale  Quantitative variables  Interval scale  Ratio scale Categories Categories with order Ordered Categories of same size Ordered Categories of same size with zero point • Given a choice, usually prefer highest level of measurement possible “Best” Scale?
  • 20. Measuring your dependent variables  Scales of measurement  Errors in measurement  Reliability & Validity
  • 21. Example: Measuring intelligence? Measuring the true score  How do we measure the construct?  How good is our measure?  How does it compare to other measures of the construct?  Is it a self-consistent measure?
  • 22. Errors in measurement  In search of the “true score”  Reliability • Do you get the same value with multiple measurements?  Validity • Does your measure really measure the construct? • Is there bias in our measurement? (systematic error)
  • 23. Dartboard analogy Bull’s eye = the “true score”
  • 24. Dartboard analogy Bull’s eye = the “true score” Reliability = consistency Validity = measuring what is intended reliable valid reliable invalid unreliable invalid
  • 25. Reliability  True score + measurement error  A reliable measure will have a small amount of error  Multiple “kinds” of reliability
  • 26. Reliability  Test-restest reliability  Test the same participants more than once • Measurement from the same person at two different times • Should be consistent across different administrations Reliable Unreliable
  • 27. Reliability  Internal consistency reliability  Multiple items testing the same construct  Extent to which scores on the items of a measure correlate with each other • Cronbach’s alpha (α) • Split-half reliability • Correlation of score on one half of the measure with the other half (randomly determined)
  • 28. Reliability  Inter-rater reliability  At least 2 raters observe behavior  Extent to which raters agree in their observations • Are the raters consistent?  Requires some training in judgment 5:00 4:56
  • 29. Validity  Does your measure really measure what it is supposed to measure?  There are many “kinds” of validity
  • 32. Face Validity  At the surface level, does it look as if the measure is testing the construct? “This guy seems smart to me, and he got a high score on my IQ measure.”
  • 33. Construct Validity  Usually requires multiple studies, a large body of evidence that supports the claim that the measure really tests the construct
  • 34. Internal Validity  Did the change in the DV result from the changes in the IV or does it come from something else?  The precision of the results
  • 35. Threats to internal validity  History – an event happens the experiment  Maturation – participants get older (and other changes)  Selection – nonrandom selection may lead to biases  Mortality – participants drop out or can’t continue  Testing – being in the study actually influences how the participants respond
  • 36. External Validity  Are experiments “real life” behavioral situations, or does the process of control put too much limitation on the “way things really work?”
  • 37. External Validity  Variable representativeness  Relevant variables for the behavior studied along which the sample may vary  Subject representativeness  Characteristics of sample and target population along these relevant variables  Setting representativeness  Ecological validity - are the properties of the research setting similar to those outside the lab
  • 38. Variables  Independent variables (explanatory)  Dependent variables (response)  Extraneous variables  Control variables  Random variables  Confound variables
  • 39. Extraneous Variables  Control variables  Holding things constant - Controls for excessive random variability  Random variables – may freely vary, to spread variability equally across all experimental conditions  Randomization • A procedure that assures that each level of an extraneous variable has an equal chance of occurring in all conditions of observation.  Confound variables  Variables that haven’t been accounted for (manipulated, measured, randomized, controlled) that can impact changes in the dependent variable(s)  Co-varys with both the dependent AND an independent variable
  • 40. Colors and words  Divide into two groups:  men  women  Instructions: Read aloud the COLOR that the words are presented in. When done raise your hand.  Women first. Men please close your eyes.  Okay ready?
  • 42.  Okay, now it is the men’s turn.  Remember the instructions: Read aloud the COLOR that the words are presented in. When done raise your hand.  Okay ready?
  • 44. Our results  So why the difference between the results for men versus women?  Is this support for a theory that proposes:  “Women are good color identifiers, men are not”  Why or why not? Let’s look at the two lists.
  • 46.  What resulted in the performance difference?  Our manipulated independent variable (men vs. women)  The other variable match/mis-match?  Because the two variables are perfectly correlated we can’t tell  This is the problem with confounds Blue Green Red Purple Yellow Green Purple Blue Red Yellow Blue Red Green Blue Green Red Purple Yellow Green Purple Blue Red Yellow Blue Red Green IV DV Confound Co-vary together
  • 47.  What DIDN’T result in the performance difference?  Extraneous variables  Control • # of words on the list • The actual words that were printed  Random • Age of the men and women in the groups  These are not confounds, because they don’t co-vary with the IV Blue Green Red Purple Yellow Green Purple Blue Red Yellow Blue Red Green Blue Green Red Purple Yellow Green Purple Blue Red Yellow Blue Red Green
  • 48. “Debugging your study”  Pilot studies  A trial run through  Don’t plan to publish these results, just try out the methods  Manipulation checks  An attempt to directly measure whether the IV variable really affects the DV.  Look for correlations with other measures of the desired effects.