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SCALES OF
MEASURMENT
ARCHANA.J SAMEERA SWATHY
MEASURMENT
IT IS THE ACT OF ASSIGNING NUMBERS OR SYMBOLS TO
CHARACTERISTICS OF THINGS ( PEOPLE, EVENT, WHATEVER)
 IT ALSO REFERED AS THE PROCESS OF APPLYING NUMBERS TO
OBJECTS ACCORDING TO SET OF RULES
SCALE
MAINLY THERE ARE TWO TYPES OF SCALES .THEY ARE:
1. CONTINOUS SCALE: It is one which can take on a value between any other two
values
Eg: Room temperature
2. DISCRETE SCALE: It is one with a well defined finite set of possible values
Eg: True/ False
 Measurement scales are used to categorize and/or quantify variables.
 This lesson describes the four scales of measurement that are commonly used in
statistical analysis
 It was classified by Professor S . S . Stevens in 1946
 That are:
i. NOMINAL SCALES
ii. ORDINAL SCALES
iii. INTERVAL SCALES
iv. RATIO SCALES.
NOMINAL SCALE
 It is a discrete classification of data, in which data are neither measured nor ordered
but subjects are merely allocated to distinct categories
 It is a simplest form of measurement
 It deals with variables that are non-numeric or where the numbers have no value.
 They are used for labelling variables with out any quantitative value. So it is simply
called” labels”
 It is a naming scale and is used with categorical data.
EXAMPLES OF NOMINAL SCALE
 Gender
 Marital status
 Race
PROPERTIES OF NOMINAL SCALE
 Nominal variables vary qualitatively, not quantitatively.
 The values of nominal variables cannot be organized hierarchically in regards to importance.
 The most appropriate statistic for describing nominal variables are frequencies.
 If required, the most appropriate "average" for nominal variables is the mode.
 Nominal variables can be easily converted into "dummy" quantitative variables by treating each of their
values as independent variables with only two values.
Applications of nominal scale
 It is used in American psychological association’s DSM IV. Here each disorder listed in
the manual is assigned its own number
 individual test items may also employ nominal scale including yes/ no responses
LIMITATION
 It doesn’t have natural order
PRECAUTION
It can’t interpreted with quantitative meaning
ORDINAL SCALE
 The Ordinal Scale is a rank order scale in which the numbers are assigned to the objects to determine
the relative extent to which certain characteristic is possessed.
 It helps in identifying that whether the object has more or less of a characteristic as compared to
another object, but does not tell about how much or less the characteristic is.
 It posses the description and relative order characteristics but give us no information regarding
differences between the categories . For example: differences in the position of a running competition
 In ordinal scale the equivalent objects are assigned the same rank
Examples of ordinal scale
 Quality ranking
 Occupational status
 Ranking of teams in tournament
 Rank order of winners……..
APPLICATIONS OF ORDINAL SCALE
 In marketing research, these scales are used to measure the relative opinions, attitudes, perceptions, and
preferences.
INTERVAL SCALE
 Interval data is a data which comes in the form of a numerical value.
 Interval scales use constant unites of measurement.
 The differences on a characteristic can be measured and compared.
 Do not have a true zero value.
EXAMPLES
 Persons level of anxiety
 Intelligence
 Psychopathy
 Temperature
PROPERTIES OF INTERVAL SCALE
 Equal interval between numbers.
 Differences between points is standardised and meaningful.
 It allows the researcher to compare difference between the objects.
 Means, variants standard deviation and Pearson product moment co relations can be calculated on interval scale
data.
LIMITATIONS
 The lack of a true zero however means that we do not know the absolute level of what is
being measured.
PRECAUTION
 Calculating norms through a process of standardization helps to overcome this
RATIO SCALE
 Ratio scale is much like interval data – it must be numerical values where the differences between points is
standardised and meaningful.
 It has an absolute or true zero of measurement.
 It represents the actual amount of variables.
EXAMPLES
 Weight
 Height
 Distance
 age
PROPERTIES
 Has all the properties of nominal, ordinal and interval scales.
 Has an absolute zero.
 All mathematical operations can be meaningfully performed.
 Has an absolute zero, magnitude and equal interval.
LIMITATION
 Although many physical characteristics are measured on ratio scales many
psychological ones are not.
REFERENCE
 Ronald Jay Cohen . Mark E Swerdlik (2005) Psychological Testing And Assessment New York : Mc
Graw Hill
 Keith Coaley( 2009). An Introduction To Psychological Assessment and Psychometrics London :
sage Publications Ltd
 Theresa J . B Kline(2005). Psychological Testing . New Delhi : Sage Publications
Scales of measurment

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Scales of measurment

  • 2. MEASURMENT IT IS THE ACT OF ASSIGNING NUMBERS OR SYMBOLS TO CHARACTERISTICS OF THINGS ( PEOPLE, EVENT, WHATEVER)  IT ALSO REFERED AS THE PROCESS OF APPLYING NUMBERS TO OBJECTS ACCORDING TO SET OF RULES
  • 3. SCALE MAINLY THERE ARE TWO TYPES OF SCALES .THEY ARE: 1. CONTINOUS SCALE: It is one which can take on a value between any other two values Eg: Room temperature 2. DISCRETE SCALE: It is one with a well defined finite set of possible values Eg: True/ False
  • 4.  Measurement scales are used to categorize and/or quantify variables.  This lesson describes the four scales of measurement that are commonly used in statistical analysis  It was classified by Professor S . S . Stevens in 1946  That are: i. NOMINAL SCALES ii. ORDINAL SCALES iii. INTERVAL SCALES iv. RATIO SCALES.
  • 5.
  • 6. NOMINAL SCALE  It is a discrete classification of data, in which data are neither measured nor ordered but subjects are merely allocated to distinct categories  It is a simplest form of measurement  It deals with variables that are non-numeric or where the numbers have no value.  They are used for labelling variables with out any quantitative value. So it is simply called” labels”  It is a naming scale and is used with categorical data.
  • 7. EXAMPLES OF NOMINAL SCALE  Gender  Marital status  Race PROPERTIES OF NOMINAL SCALE  Nominal variables vary qualitatively, not quantitatively.  The values of nominal variables cannot be organized hierarchically in regards to importance.  The most appropriate statistic for describing nominal variables are frequencies.  If required, the most appropriate "average" for nominal variables is the mode.  Nominal variables can be easily converted into "dummy" quantitative variables by treating each of their values as independent variables with only two values.
  • 8. Applications of nominal scale  It is used in American psychological association’s DSM IV. Here each disorder listed in the manual is assigned its own number  individual test items may also employ nominal scale including yes/ no responses LIMITATION  It doesn’t have natural order PRECAUTION It can’t interpreted with quantitative meaning
  • 9. ORDINAL SCALE  The Ordinal Scale is a rank order scale in which the numbers are assigned to the objects to determine the relative extent to which certain characteristic is possessed.  It helps in identifying that whether the object has more or less of a characteristic as compared to another object, but does not tell about how much or less the characteristic is.  It posses the description and relative order characteristics but give us no information regarding differences between the categories . For example: differences in the position of a running competition  In ordinal scale the equivalent objects are assigned the same rank
  • 10. Examples of ordinal scale  Quality ranking  Occupational status  Ranking of teams in tournament  Rank order of winners…….. APPLICATIONS OF ORDINAL SCALE  In marketing research, these scales are used to measure the relative opinions, attitudes, perceptions, and preferences.
  • 11. INTERVAL SCALE  Interval data is a data which comes in the form of a numerical value.  Interval scales use constant unites of measurement.  The differences on a characteristic can be measured and compared.  Do not have a true zero value. EXAMPLES  Persons level of anxiety  Intelligence  Psychopathy  Temperature
  • 12. PROPERTIES OF INTERVAL SCALE  Equal interval between numbers.  Differences between points is standardised and meaningful.  It allows the researcher to compare difference between the objects.  Means, variants standard deviation and Pearson product moment co relations can be calculated on interval scale data.
  • 13. LIMITATIONS  The lack of a true zero however means that we do not know the absolute level of what is being measured. PRECAUTION  Calculating norms through a process of standardization helps to overcome this
  • 14. RATIO SCALE  Ratio scale is much like interval data – it must be numerical values where the differences between points is standardised and meaningful.  It has an absolute or true zero of measurement.  It represents the actual amount of variables. EXAMPLES  Weight  Height  Distance  age
  • 15. PROPERTIES  Has all the properties of nominal, ordinal and interval scales.  Has an absolute zero.  All mathematical operations can be meaningfully performed.  Has an absolute zero, magnitude and equal interval. LIMITATION  Although many physical characteristics are measured on ratio scales many psychological ones are not.
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  • 17. REFERENCE  Ronald Jay Cohen . Mark E Swerdlik (2005) Psychological Testing And Assessment New York : Mc Graw Hill  Keith Coaley( 2009). An Introduction To Psychological Assessment and Psychometrics London : sage Publications Ltd  Theresa J . B Kline(2005). Psychological Testing . New Delhi : Sage Publications