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Educational Measurement and Evaluation


                   Notes              these variables can be divided into two categories. For example, if want to calculate correlation
                                      between school attendance and current employment. Here, we shall divide the individuals
                                      into two categories. In the first category will be the individuals who have passed high school
                                      and the second category will have individuals who have not passed high school; on then we
                                      shall divide these individuals into employed and unemployed categories, and then go on to
                                      calculate correlation. In the same way, if we want to see correlation between intelligence and
                                      social maturity, then we will have to make such categories, as above average, below average,
                                      socially mature and socially immature etc. in order to calculate r . t
                                                                     INTELLIGENCE

                                                            Above Average             Below Average

                                      MATURITY
                                      Poorly                     a                          b
                                      Adjusted
                                      SOCIAL
                                      Well                        c                         d
                                      Adjusted

                                      Assumptions : The assumptions of the tetrochoric correlation are as follows :
                                      (a)  Both variables X and Y should be continuous.
                                      (b)  Both variables should be normally distributed.
                                      (c)  Both variables should be lineally related.
                                      Supposing, the following two questions were given to students :
                                      (a)  Do you find pleasure in meeting others ?
                                      (b)  Do you find pleasure in working with others ?
                                      Here, the assumptions related to continuity and normality will be as follows :
                                      The students who have written Yes in these questions, but have not done it with the same
                                      degree of consistency, and those who have written NO and have not done so with the same
                                      degree of consistency. So, each question presents a continuous variable, and this continuous
                                      scale has consistence on one end and lack of consistency on the other end, or approval on one
                                      end and disapproval on the other end. When a variable is taken as continuous, then NPC can
                                      be taken for a psychological trait.
                                  5.  Multiple Correlation Method : This method can be used when more than one scales are used
                                      for some hypothesis. In this, scores of different scales are used jointly in the forms of statistics,
                                      and it is correlated with the third scale in order to know its multiple correlation. Multi coefficient
                                      expresses correlation between one distribution of scores and two or more co-distributions. It
                                      indicates how the co-distributions are correlated with some definite hypotheses.
                                      If we want to select trainees for some training, such as engineering, medicine or teaching etc.,
                                      then we have to predict their success in the given profession; for example, we can use the
                                      intelligence test, study habits test and vocabulary test for admission to college. In the same
                                      way, before buying a car, we shall contact such people who already possess a car or some
                                      mechanic or will test-drive the car, and shall decide about its purchase only when satisfied.
                                      More than one predictor make our prediction more accurate.
                                      Supposing we want to predict success of students in a college. For this, the vocabulary test was
                                      used, and supposing its criterion (test scores) is .5, then it would mean that 25% variance of the
                                      evaluation has been described by the vocabulary test.





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