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Variable and scale 
Chapter 6
Variables 
• An image, perception or concept that is 
capable of measurement – hence capable 
of taking onddifferent values – is called a 
variable. In other words, a concept that 
can be measured is called a variable. 
• According to Kerlinger, ‘A variable is a 
property that takes on different values.
The difference between a 
concept and a variable 
• Measurability is the main difference 
between a concept and a variable. 
• Concepts are mental images or 
perceptions and therefore their meanings 
vary markedly from individual to individual, 
whereas variables are measurable, 
though, of course, with varying degrees of 
accuracy.
Concepts Variables 
Effectiveness 
Satisfaction 
Impact 
Excellent 
High achiever 
Self esteem 
Rich 
Domestic violence 
etc 
Gender (male / female 
Attitude 
Age (X year) 
Income ( Rs…) 
Weight( -----kg) 
Height (---- cm) 
Religion 
etc 
If you are using a concept in your study, you need to 
consider its operationalisation – that is, how it will be 
measured. In most cases, to operationalise a concept you 
first need to go through the process of identifying 
indicators – a set of criteria reflective of the concept – 
which can then be converted 
into variables.
Converting concept into variable
Types of variable 
• A variable can be classified in a number of 
ways. The classification developed here 
results from looking at variables in three 
different ways 
• the causal relationship; 
• the study design; 
• the unit of measurement.
In studies that attempt to investigate a causal 
relationship or association, four sets of variables 
may operate 
1. change variables, which are responsible for 
bringing about change in a phenomenon, 
situation or circumstance; 
2. outcome variables, which are the effects, 
impacts or consequences of a change variable; 
3. variables which affect or influence the link 
between cause-and-effect variables; 
4. connecting or linking variables, which in 
certain situations are necessary to complete the 
relationship between cause-and-effect variables.
• In research terminology, change variables 
are called independent variables, 
outcome/effect variables are called 
dependent variables, the unmeasured 
variables affecting the cause-and-effect 
relationship are called extraneous 
variables and the variables that link a 
cause-and-effect relationship are called 
intervening variables. Hence:
1. Independent variable – the cause supposed to be 
responsible for bringing about change(s) in a phenomenon 
or situation. 
2. Dependent variable – the outcome or change(s) brought 
about by introduction of an independent variable. 
3. Extraneous variable – several other factors operating in a 
real-life situation may affect changes in the dependent 
variable. These factors, not measured in the study, may 
increase or decrease the magnitude or strength of the 
relationship between independent and dependent variables. 
1. Intervening variable – sometimes called the confounding 
variable (Grinnell 1988: 203), it links the independent and 
dependent variables. In certain situations the relationship 
between an independent and a dependent variable cannot 
be established without the intervention of another variable. 
The cause, or independent, variable will have the assumed 
effect only in the presence of an intervening variable.
Types of variable in a causal 
relationship
Independent, dependent and 
extraneous variables in a causal 
relationship
Categorical/continuous and 
quantitative/qualitative variables
Measurement and scale 
• Types of measurement scale 
The most widely used classification of 
measurement scales are: 
(a)nominal scale; 
(b) ordinal scale; 
(c) interval scale; and 
(d) ratio scale.
Nominal scale : 
• Nominal scale is simply a system of 
assigning number symbols to events in 
order to label them. Nominal scale is the 
least powerful level of measurement. It 
indicates no order or distance relationship 
and has no arithmetic origin. A nominal 
scale simply describes differences 
between things by assigning them to 
categories. Nominal data are, thus, 
counted data.
Ordinal scale: 
• The lowest level of the ordered scale that is 
commonly used is the ordinal scale. The ordinal 
scale places events in order, but there is no 
attempt to make the intervals of the scale equal in 
terms of some rule. Rank orders represent ordinal 
scales and are frequently used in research relating 
to qualitative phenomena. 
• Since the numbers of this scale have only a rank 
meaning, the appropriate measure of central 
tendency is the median. A percentile or quartile 
measure is used for measuring dispersion. 
Correlations are restricted to various rank order 
methods. Measures of statistical significance are 
restricted to the non-parametric methods.
Interval scale: 
In the case of interval scale, the intervals are adjusted in terms 
of some rule that has been established as a basis for making the 
units equal. The units are equal only in so far as one accepts the 
assumptions on which the rule is based. 
Interval scales can have an arbitrary zero, but it is not possible to 
determine for them what may be called an absolute zero or the 
unique origin. 
The primary limitation of the interval scale is the lack of a true 
zero; it does not have the capacity to measure the complete 
absence of a trait or characteristic. 
Interval scales provide more powerful measurement than ordinal 
scales for interval scale also incorporates the concept of equality 
of interval. As such more powerful statistical measures can be 
used with interval scales. Mean is the appropriate measure of 
central tendency, while standard deviation is the most widely 
used measure of dispersion. Product moment correlation 
techniques are appropriate and the generally used tests for 
statistical significance are the ‘t’ test and ‘F’ test.
Ratio scale: 
Ratio scales have an absolute or true zero of measurement. The 
term ‘absolute zero’ is not as precise as it was once believed to 
be. We can conceive of an absolute zero of length and similarly 
we can conceive of an absolute zero of time. 
Ratio scale represents the actual amounts of variables. 
Measures of physical dimensions such as weight, height, 
distance, etc. are examples. Generally, all statistical techniques 
are usable with ratio scales and all manipulations that one can 
carry out with real numbers can also be carried out with ratio 
scale values. Multiplication and division can be used with this 
scale but not with other scales mentioned above. Geometric and 
harmonic means can be used as measures of central tendency 
and coefficients of variation may also be calculated.

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Research methodology Chapter 6

  • 1. Variable and scale Chapter 6
  • 2. Variables • An image, perception or concept that is capable of measurement – hence capable of taking onddifferent values – is called a variable. In other words, a concept that can be measured is called a variable. • According to Kerlinger, ‘A variable is a property that takes on different values.
  • 3. The difference between a concept and a variable • Measurability is the main difference between a concept and a variable. • Concepts are mental images or perceptions and therefore their meanings vary markedly from individual to individual, whereas variables are measurable, though, of course, with varying degrees of accuracy.
  • 4. Concepts Variables Effectiveness Satisfaction Impact Excellent High achiever Self esteem Rich Domestic violence etc Gender (male / female Attitude Age (X year) Income ( Rs…) Weight( -----kg) Height (---- cm) Religion etc If you are using a concept in your study, you need to consider its operationalisation – that is, how it will be measured. In most cases, to operationalise a concept you first need to go through the process of identifying indicators – a set of criteria reflective of the concept – which can then be converted into variables.
  • 6. Types of variable • A variable can be classified in a number of ways. The classification developed here results from looking at variables in three different ways • the causal relationship; • the study design; • the unit of measurement.
  • 7. In studies that attempt to investigate a causal relationship or association, four sets of variables may operate 1. change variables, which are responsible for bringing about change in a phenomenon, situation or circumstance; 2. outcome variables, which are the effects, impacts or consequences of a change variable; 3. variables which affect or influence the link between cause-and-effect variables; 4. connecting or linking variables, which in certain situations are necessary to complete the relationship between cause-and-effect variables.
  • 8. • In research terminology, change variables are called independent variables, outcome/effect variables are called dependent variables, the unmeasured variables affecting the cause-and-effect relationship are called extraneous variables and the variables that link a cause-and-effect relationship are called intervening variables. Hence:
  • 9. 1. Independent variable – the cause supposed to be responsible for bringing about change(s) in a phenomenon or situation. 2. Dependent variable – the outcome or change(s) brought about by introduction of an independent variable. 3. Extraneous variable – several other factors operating in a real-life situation may affect changes in the dependent variable. These factors, not measured in the study, may increase or decrease the magnitude or strength of the relationship between independent and dependent variables. 1. Intervening variable – sometimes called the confounding variable (Grinnell 1988: 203), it links the independent and dependent variables. In certain situations the relationship between an independent and a dependent variable cannot be established without the intervention of another variable. The cause, or independent, variable will have the assumed effect only in the presence of an intervening variable.
  • 10.
  • 11. Types of variable in a causal relationship
  • 12. Independent, dependent and extraneous variables in a causal relationship
  • 14. Measurement and scale • Types of measurement scale The most widely used classification of measurement scales are: (a)nominal scale; (b) ordinal scale; (c) interval scale; and (d) ratio scale.
  • 15. Nominal scale : • Nominal scale is simply a system of assigning number symbols to events in order to label them. Nominal scale is the least powerful level of measurement. It indicates no order or distance relationship and has no arithmetic origin. A nominal scale simply describes differences between things by assigning them to categories. Nominal data are, thus, counted data.
  • 16. Ordinal scale: • The lowest level of the ordered scale that is commonly used is the ordinal scale. The ordinal scale places events in order, but there is no attempt to make the intervals of the scale equal in terms of some rule. Rank orders represent ordinal scales and are frequently used in research relating to qualitative phenomena. • Since the numbers of this scale have only a rank meaning, the appropriate measure of central tendency is the median. A percentile or quartile measure is used for measuring dispersion. Correlations are restricted to various rank order methods. Measures of statistical significance are restricted to the non-parametric methods.
  • 17. Interval scale: In the case of interval scale, the intervals are adjusted in terms of some rule that has been established as a basis for making the units equal. The units are equal only in so far as one accepts the assumptions on which the rule is based. Interval scales can have an arbitrary zero, but it is not possible to determine for them what may be called an absolute zero or the unique origin. The primary limitation of the interval scale is the lack of a true zero; it does not have the capacity to measure the complete absence of a trait or characteristic. Interval scales provide more powerful measurement than ordinal scales for interval scale also incorporates the concept of equality of interval. As such more powerful statistical measures can be used with interval scales. Mean is the appropriate measure of central tendency, while standard deviation is the most widely used measure of dispersion. Product moment correlation techniques are appropriate and the generally used tests for statistical significance are the ‘t’ test and ‘F’ test.
  • 18. Ratio scale: Ratio scales have an absolute or true zero of measurement. The term ‘absolute zero’ is not as precise as it was once believed to be. We can conceive of an absolute zero of length and similarly we can conceive of an absolute zero of time. Ratio scale represents the actual amounts of variables. Measures of physical dimensions such as weight, height, distance, etc. are examples. Generally, all statistical techniques are usable with ratio scales and all manipulations that one can carry out with real numbers can also be carried out with ratio scale values. Multiplication and division can be used with this scale but not with other scales mentioned above. Geometric and harmonic means can be used as measures of central tendency and coefficients of variation may also be calculated.