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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” research—studying 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)
nominal
ordinal
interval
ratio
Nominal data
• a more “crude” form of data:
limited possibilities for statistical
analysis
• categories, classifications, or
groupings
• “pigeon-holing” or labeling
• merely measures the presence or
absence of something
• gender: male or female
• immigration status;
documented, undocumented
• zip codes, 90210, 92634,
91784
• nominal categories aren’t
hierarchical, one category isn’t
“better” or “higher” than another
• assignment of numbers to the
categories has no mathematical
meaning
• nominal categories should be
mutually exclusive and
exhaustive
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,
but still lacking in precision
• exists in a rank order, hierarchy,
or sequence
• highest to lowest, best to
worst, first to last
• allows for comparisons along
some dimension
• example: Mona is prettier
than Fifi, Rex is taller than
Niles
• examples:
• 1st, 2nd, 3rd places finishes
in a horse race
• top 10 movie box office
successes of 2006
• bestselling books (#1, #2, #3
bestseller, etc.)
2nd 3rd
1st
More about ordinal data
• no assumption of “equidistance” of
numbers
• increments or gradations aren’t
necessarily uniform
• researchers do sometimes treat
ordinal data as if it were interval data
• there are limited statistical tests
available with ordinal data
• •Top 10 Retirement Spots, according
to USN&WR Sept. 20, 2007
• Boseman, Montana
• Concord, New Hampshire
• Fayetteville Arkansas
• Hillsboro, Oregon
• 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 doesn’t
mean Fred is twice as attractive as Barny
• no true zero point (a complete absence of
the phenomenon being measured)
• example: A person can’t 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.ppt

  • 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” research—studying 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) nominal ordinal interval ratio
  • 8. Nominal data • a more “crude” form of data: limited possibilities for statistical analysis • categories, classifications, or groupings • “pigeon-holing” or labeling • merely measures the presence or absence of something • gender: male or female • immigration status; documented, undocumented • zip codes, 90210, 92634, 91784 • nominal categories aren’t hierarchical, one category isn’t “better” or “higher” than another • assignment of numbers to the categories has no mathematical meaning • nominal categories should be mutually exclusive and exhaustive
  • 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, but still lacking in precision • exists in a rank order, hierarchy, or sequence • highest to lowest, best to worst, first to last • allows for comparisons along some dimension • example: Mona is prettier than Fifi, Rex is taller than Niles • examples: • 1st, 2nd, 3rd places finishes in a horse race • top 10 movie box office successes of 2006 • bestselling books (#1, #2, #3 bestseller, etc.) 2nd 3rd 1st
  • 11. More about ordinal data • no assumption of “equidistance” of numbers • increments or gradations aren’t necessarily uniform • researchers do sometimes treat ordinal data as if it were interval data • there are limited statistical tests available with ordinal data • •Top 10 Retirement Spots, according to USN&WR Sept. 20, 2007 • Boseman, Montana • Concord, New Hampshire • Fayetteville Arkansas • Hillsboro, Oregon • 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 doesn’t mean Fred is twice as attractive as Barny • no true zero point (a complete absence of the phenomenon being measured) • example: A person can’t 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.