A random sample of 100 hospital patients suffering from depression received a particular treatment over a period of three months. Prior to the beginning of the treatment, each patient was classified as being at one of five levels of depression, where level 1 represented the most severe level of depression and level 5 represented the mildest level. At the end of the treatment, each patient was again classified according to the same five levels of depression. The results are given in Table 10.50. Discuss the use of this table for determining whether the treatment has been helpful in alleviating depression.
Table 10.50 Data for Exercise 13

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Level of depression after treatment Level of depression before treatment 2345 1 27 14 2 0 0 0 19 8 2 0 1 2 12 0