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Quantitative Techniques – I




                    Notes              (b)  Complex Table: A complex table is used to present data according to two or more
                                            characteristics. Such a table can be two-way, three-way or multi-way, etc.
                                            (i)  Two-way table: Such a table presents data that is classified according to two
                                                 characteristics. In such a table the columns of a table are further divided into
                                                 sub-columns. The example of such a table is given below.

                                                                   Complex  Table

                                                                   Table No.  ........
                                                Distribution of workers of  a factory  according to shifts and  sex
                                                                  No.  of Workers
                                                       Shifts                        Total

                                                                 Males       Females


                                                         I
                                                         II
                                                         III
                                                       Total

                                            (ii)  Three-way table: When three characteristics of data are shown simultaneously,
                                                 we get a three-way table as shown below.
                                                                   Three way  table

                                                                   Table No.  ........
                                             Distribution  of workers  of a  factory according to shifts,  sex and  training
                                                                  No. of Workers
                                                                                              Total No.
                                             Shifts     Males               Females
                                                                   Total                Total  of Workers
                                                   Skilled Unskilled    Skilled Unskilled

                                               I
                                               II
                                              III


                                            (iii)  Multi-way table: If each shift is further classified into three departments, say,
                                                 manufacturing, packing and transportation, we shall get a four-way table, etc.

                                       (c)  The Cross-Classified Table: Tables that classify entries in both directions, i.e., row-wise
                                            and column-wise, are called cross-classified tables. The two ways of classification
                                            are such that each category of one classification can occur with any category of the
                                            other.  The  cross-classified  tables  can  also  be  constructed  for  more  than  two
                                            characteristics also.
                                            A cross-classification can also be used for analytical purpose, e.g., it is possible to
                                            make certain comparisons while keeping the effect of other factors as constant.


                                          Example: Draw a blank table to show the population of a city according to age, sex and
                                   unemployment in various years.






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