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Educational Measurement and Evaluation


                   Notes              Grade norms are very important for teachers. They can analyze the performance and ability
                                      of students on their basis, and can ascertain the position of a certain child in the class.





                                         Standard score norms are also expressed by other norms in addition to Sigma score
                                         norms, such as Z score, t-score, Sten-score, Stanine-score etc.

                                  Limitations
                                    (a) The variance in grade norms is not very explicit.
                                    (b) The rate of educational achievement, intelligence development and other variables is not
                                        uniform as per the grade.

                                     (c) Grade norms, like age norms, are not uniform.
                                    (d) These norms can be used only in formal educational institutions.
                                    (e) If students of the same age group have to compared, then grade norms do not assist us.
                                        For example, we can compare 7-year-old Punit with other boys aged 8, 9 or 10 years, but
                                        not with many other as old as Punit. In such a situation, students are compared with one
                                        another on the basis of percentile norms.
                                  3.  Percentile Norms : By percentile norms in a test is meant the different percentiles obtained
                                      by a large group of students. In other words, percentile norms are those scores, the number
                                      of students obtaining scores below than that is equal to the percentage of such students. For
                                      example, 75th percentile norm tells that 75% students have scored below this score, and
                                      only 25% students have obtained scores above it. In calculating percentile norm, a candidate
                                      is compared with the group of which he is a member. By percentile scores is meant the
                                      grade of a candidate in percentiles. Supposing 100 individuals are taking part in a race. One
                                      of them runs the fastest and stands first. He is better than 99 individuals, so his percentile
                                      value is 99. The individual standing second in the race is better than 98 individuals, so his
                                      percentile position is 98th. The distance between the first and second individuals does not
                                      influence their percentile positions. The individual running last is followed by no other
                                      individual, so his percentile position will be 0. In the same way, under educational situations,
                                      when several students of the same or different schools are studied, it is quite convenient
                                      and useful to transform their sequences into percentile ranks. In ordinary words, percentile
                                      is the point on the scale below which a fixed percentage of the distribution falls.
                                      In order to know percentile value, a test is administered on a large group, and different
                                      percentile values are calculated on the basis of scores obtained by students. These percentile
                                      values are percentile norms. Because, it is possible to use them on all individuals of the
                                      common group under all circumstances, so it can be said about them that percentile norms
                                      provide a basis for interpreting the score of an individual in terms of his standing in some
                                      particular group.
                                      In calculating percentile and percentile rank, suppose a test was administered on a large
                                      group, and M = 100, S.D. = 1, then different percentiles will be as follows :
                                      On the above basis, if a candidate obtains 100 marks in the test, then his percentile rank will
                                      be 50 and his performance level will be considered as average.
                                      Merits
                                    (a) They can be analyzed easily.
                                    (b) It is not necessary to administer the test on a sample representative group, as is done in
                                        other tests. Therefore, no hypothesis has to be formulated for these norms. So, these are
                                        used widely.



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