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Research Methodology




                    Notes          them. However, it must be recognized that the zero point on an interval scale is arbitrary and is
                                   not a true zero. This, of course, has implications for the type of data manipulation and analysis
                                   we can carry out on data collected in this form. It is possible to add or subtract a constant to all
                                   of the scale values without affecting the form of the scale but one cannot multiply or divide the
                                   values. It can be said that two respondents with scale positions 1 and 2 are as far apart as two
                                   respondents with scale  positions 4 and 5, but not that a  person with  score 10 feels twice  as
                                   strongly as one with score 5. Temperature is interval scaled, being measured either in Centigrade
                                   or Fahrenheit. We cannot speak of 50°F being twice as hot as 25°F since the corresponding
                                   temperatures on the centigrade scale, 100°C and -3.9°C, are not in the ratio 2:1.
                                   Interval scales may be either numeric or semantic.

                                   Characteristics

                                   1.  Interval scales have no absolute zero. It is set arbitrarily.
                                   2.  For measuring central tendency, mean is used.
                                   3.  For measuring dispersion, standard deviation is used.

                                   4.  For test of significance, t-test and f-test are used.
                                   5.  Scale is based on the equality of intervals.
                                   Use: Most of the common statistical methods of analysis require only interval scales in order
                                   that they might be used. These are not recounted here because they are so common and can be
                                   found in virtually all basic texts on statistics.


                                        Example:
                                   1.  Suppose we want to measure the rating of a refrigerator using interval scale. It will appear
                                       as follows:
                                       (a)  Brand name                   Poor …………………… Good
                                       (b)  Price                        High …………………….. Low
                                       (c)  Service after-sales          Poor …………………… Good

                                       (d)  Utility                      Poor …………………….Good
                                       The researcher cannot conclude that the respondent who gives a rating of 6 is 3 times more
                                       favourable towards a product under study than another respondent who awards the rating
                                       of 2.
                                   2.  How many hours you spend to do class assignment every day?
                                       (a)  < 30 min.

                                       (b)  30 min. to 1 hr.
                                       (c)  1 hr. to 1½ hrs.
                                       (d)  > 1½ hrs.
                                       Statistical implications: We can compute the range, mean, median, etc.





                                      Task  Analyse the difference between interval and ordinal scales.




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