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Measurement

  quantifying the
dependent variable
Importance of measurement
 research conclusions are only as good as
  the data on which they are based
 observations must be quantifiable in order
  to subject them to statistical analysis
 the dependent variable(s) must be
  measured in any quantitative study.
 the more precise, sensitive the method of
  measurement, the better.
Direct measures
 physiological measures
    heart rate, blood pressure, galvanic skin
     response, eye movement, magnetic
     resonance imaging, etc.
 behavioral measures
    in a naturalistic setting.
        example: videotaping leave-taking
         behavior (how people say goodbye)
         at an airport.
    in a laboratory setting
        example: videotaping married
         couples interactions in a simulated
         environment
Self reports or paper pencil
          measures
 oral interviews
    either in person or by phone
 surveys and questionnaires
    self-administered, or other
     administered
    on-line surveys
 standardized scales and
  instruments
    examples: ethnocentrism scale, dyadic
     adjustment scale, self monitoring scale
Indirect measures
 relying on observers estimates or perceptions
    indirect questioning
        example: asking executives at advertising firms if
         they think their competitors use subliminal messages
        example: asking subordinates, rather than managers,
         what managerial style they perceive their supervisors
         employ.
 unobtrusive measures
    measures of accretion, erosion, etc.
        example: garbology researchstudying discarded
         trash for clues about lifestyles, eating habits,
         consumer purchases, etc.
Miscellaneous measures
 archived data
    example: court records of spouse abuse
    example: number of emails sent to/from
      students to instructors
 retrospective data
    example: family history of stuttering
    example: employee absenteeism or turn-
      over rates in an organization
Levels of data
   Nominal
   Ordinal
   Interval (Scale in SPSS)
   Ratio (Scale in SPSS)                          ratio

                                        interval

                              ordinal

                    nominal
Nominal data
   a more crude form of data:               nominal categories arent
    limited possibilities for statistical       hierarchical, one category isnt
    analysis                                    better or higher than another
   categories, classifications, or            assignment of numbers to the
    groupings                                   categories has no mathematical
       pigeon-holing or labeling             meaning
   merely measures the presence or            nominal categories should be
    absence of something                        mutually exclusive and
       gender: male or female                  exhaustive
       immigration status;
        documented, undocumented
       zip codes, 90210, 92634,
        91784
Nominal data-continued
   nominal data is usually
    represented descriptively
   graphic representations include
    tables, bar graphs, pie charts.
   there are limited statistical tests
    that can be performed on
    nominal data
   if nominal data can be converted
    to averages, advanced statistical
    analysis is possible
Ordinal data
   more sensitive than nominal data,       examples:
    but still lacking in precision             1st, 2nd, 3rd places finishes
   exists in a rank order, hierarchy,          in a horse race
    or sequence
                                               top 10 movie box office
      highest to lowest, best to
        worst, first to last                    successes of 2006
   allows for comparisons along               bestselling books (#1, #2, #3
    some dimension                              bestseller, etc.)
      example: Mona is prettier
        than Fifi, Rex is taller than            1st         2nd          3rd
        Niles
More about ordinal data
   no assumption of equidistance of            Top 10 Retirement Spots, according
    numbers                                        to USN&WR Sept. 20, 2007
      increments or gradations arent            Boseman, Montana
        necessarily uniform                       Concord, New Hampshire
   researchers do sometimes treat                Fayetteville Arkansas
    ordinal data as if it were interval data      Hillsboro, Oregon
   there are limited statistical tests        
    available with ordinal data                    Lawrence, Kansas
                                                  Peachtree City, Georgia
                                                  Prescott, Arizona
                                                  San Francisco, California
                                                  Smyrna, Tennessee
                                                  Venice, Florida
Interval data (scale data)
 represents a more sensitive type of data
  or sophisticated form of measurement
 assumption of equidistance applies to
  data or numbers gathered
    gradations, increments, or units of measure
     are uniform, constant
 examples:
    Scale data: Likert scales, Semantic
     Differential scales
    Stanford Binet I.Q. test
    most standardized scales or diagnostic
     instruments yield numerical scores
More about interval data
 scores can be compared to one another,
  but in relative, rather than absolute terms.
    example: If Fred is rated a 6 on
     attractiveness, and Barney a 3, it doesnt
     mean Fred is twice as attractive as Barny
 no true zero point (a complete absence of
  the phenomenon being measured)
    example: A person cant have zero intelligence
     or zero self esteem
 scale data is usually aggregated or
  converted to averages
 amenable to advanced statistical analysis
Ratio data
 the most sensitive, powerful type of data
    ratio measures contain the most precise
     information about each observation that
     is made
 examples:
    time as a unit of measure
    distance as a unit of measure (setting an
     odometer to zero before beginning a
     trip)
    weight and height as units of measure
More about ratio data
 more prevalent in the natural
  sciences, less common in social
  science research
 includes a true zero point
  (complete absence of the
  phenomenon being measured)
 allows for absolute comparisons
    If Fred can lift 200 lbs and Barney
     can lift 100 lbs, Fred can lift twice as
     much as Barney, e.g., a 2:1 ratio
Examples of levels of data
 nominal: number of males versus females who are
  HCOM majors
 ordinal: small, medium, and large size drinks at
  a movie theater.
 interval: scores on a self-esteem scale of Hispanic
  and Anglo managers
 ratio: runners individual times in the L.A. marathon
  (e.g., 2:15, 2: 21, 2:33, etc.)
Application to experimental design
 As far as the dependent variable is concerned:
    always employ the highest level of measurement
     available, e.g, interval or ratio, if possible
    rely on nominal or ordinal measurement only if
     other forms of data are unavailable, impractical,
     etc.
    try to find established, valid, reliable measures,
     rather than inventing your own home-made
     measures.

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Measurement

  • 1. Measurement quantifying the dependent variable
  • 2. Importance of measurement research conclusions are only as good as the data on which they are based observations must be quantifiable in order to subject them to statistical analysis the dependent variable(s) must be measured in any quantitative study. the more precise, sensitive the method of measurement, the better.
  • 3. Direct measures physiological measures heart rate, blood pressure, galvanic skin response, eye movement, magnetic resonance imaging, etc. behavioral measures in a naturalistic setting. example: videotaping leave-taking behavior (how people say goodbye) at an airport. in a laboratory setting example: videotaping married couples interactions in a simulated environment
  • 4. Self reports or paper pencil measures oral interviews either in person or by phone surveys and questionnaires self-administered, or other administered on-line surveys standardized scales and instruments examples: ethnocentrism scale, dyadic adjustment scale, self monitoring scale
  • 5. Indirect measures relying on observers estimates or perceptions indirect questioning example: asking executives at advertising firms if they think their competitors use subliminal messages example: asking subordinates, rather than managers, what managerial style they perceive their supervisors employ. unobtrusive measures measures of accretion, erosion, etc. example: garbology researchstudying discarded trash for clues about lifestyles, eating habits, consumer purchases, etc.
  • 6. Miscellaneous measures archived data example: court records of spouse abuse example: number of emails sent to/from students to instructors retrospective data example: family history of stuttering example: employee absenteeism or turn- over rates in an organization
  • 7. Levels of data Nominal Ordinal Interval (Scale in SPSS) Ratio (Scale in SPSS) ratio interval ordinal nominal
  • 8. Nominal data a more crude form of data: nominal categories arent limited possibilities for statistical hierarchical, one category isnt analysis better or higher than another categories, classifications, or assignment of numbers to the groupings categories has no mathematical pigeon-holing or labeling meaning merely measures the presence or nominal categories should be absence of something mutually exclusive and gender: male or female exhaustive immigration status; documented, undocumented zip codes, 90210, 92634, 91784
  • 9. Nominal data-continued nominal data is usually represented descriptively graphic representations include tables, bar graphs, pie charts. there are limited statistical tests that can be performed on nominal data if nominal data can be converted to averages, advanced statistical analysis is possible
  • 10. Ordinal data more sensitive than nominal data, examples: but still lacking in precision 1st, 2nd, 3rd places finishes exists in a rank order, hierarchy, in a horse race or sequence top 10 movie box office highest to lowest, best to worst, first to last successes of 2006 allows for comparisons along bestselling books (#1, #2, #3 some dimension bestseller, etc.) example: Mona is prettier than Fifi, Rex is taller than 1st 2nd 3rd Niles
  • 11. More about ordinal data no assumption of equidistance of Top 10 Retirement Spots, according numbers to USN&WR Sept. 20, 2007 increments or gradations arent Boseman, Montana necessarily uniform Concord, New Hampshire researchers do sometimes treat Fayetteville Arkansas ordinal data as if it were interval data Hillsboro, Oregon there are limited statistical tests available with ordinal data Lawrence, Kansas Peachtree City, Georgia Prescott, Arizona San Francisco, California Smyrna, Tennessee Venice, Florida
  • 12. Interval data (scale data) represents a more sensitive type of data or sophisticated form of measurement assumption of equidistance applies to data or numbers gathered gradations, increments, or units of measure are uniform, constant examples: Scale data: Likert scales, Semantic Differential scales Stanford Binet I.Q. test most standardized scales or diagnostic instruments yield numerical scores
  • 13. More about interval data scores can be compared to one another, but in relative, rather than absolute terms. example: If Fred is rated a 6 on attractiveness, and Barney a 3, it doesnt mean Fred is twice as attractive as Barny no true zero point (a complete absence of the phenomenon being measured) example: A person cant have zero intelligence or zero self esteem scale data is usually aggregated or converted to averages amenable to advanced statistical analysis
  • 14. Ratio data the most sensitive, powerful type of data ratio measures contain the most precise information about each observation that is made examples: time as a unit of measure distance as a unit of measure (setting an odometer to zero before beginning a trip) weight and height as units of measure
  • 15. More about ratio data more prevalent in the natural sciences, less common in social science research includes a true zero point (complete absence of the phenomenon being measured) allows for absolute comparisons If Fred can lift 200 lbs and Barney can lift 100 lbs, Fred can lift twice as much as Barney, e.g., a 2:1 ratio
  • 16. Examples of levels of data nominal: number of males versus females who are HCOM majors ordinal: small, medium, and large size drinks at a movie theater. interval: scores on a self-esteem scale of Hispanic and Anglo managers ratio: runners individual times in the L.A. marathon (e.g., 2:15, 2: 21, 2:33, etc.)
  • 17. Application to experimental design As far as the dependent variable is concerned: always employ the highest level of measurement available, e.g, interval or ratio, if possible rely on nominal or ordinal measurement only if other forms of data are unavailable, impractical, etc. try to find established, valid, reliable measures, rather than inventing your own home-made measures.