Manchester Memoirs, Vol. li. (1907), No. 1(>. n 



3 in the second, and one of a 1 followed by a 4. Examina- 

 tion of the third row tells us that there was one case of a 

 2 followed by a 2, two of a 2 followed by a 4, three of a 

 2 followed by a 5, and two of a 2 followed by a 6. And 

 so on throughout the table. 



The best way to familiarize yourself with the con- 

 struction of such a table is to make one for yourself from 

 the figures on pages 6 and 7. You draw a correlation 

 table like the one we have been examining, but quite 

 blank ; and write the numbers to 12 along the tops of 

 the columns, and at the left-hand ends of the rows just as 

 in that table. The plan is to indicate the result of a pair 

 of throws by putting a dot in one of the squares of the 

 table. But which square? We shall see in a moment. 

 The first pair of throws on the list is a 5 followed by a 3. 

 The figure 5, denoting the result of the first throw, tells us 

 in what row the dot must be. The figure 3, denoting the 

 result of the second throw, tells us in what column the dot 

 must be. The square, therefore, formed by the intersec- 

 tion of this row by this column is that in which the dot 

 must be placed. The next pair of throws is a 6 followed 

 by a 7. We find the position of the square in which the 

 dot representing this result is to be placed in the same 

 way. We continue this process until all the pairs on the 

 list are entered ; then we add up the dots, and write the 

 totals thus obtained, in each square ; add up the figures in 

 each square composing a column, and write the total at 

 its base ; and add up the figures in each square composing 

 a row, and write the total at its end. The result is the 

 correlation table on p. 9. 



There is one feature of it which cannot fail to attract 

 your attention immediately. It is that the figure- 

 containing squares lie diagonally across the Table. It is 

 not very difficult to see what this means. It is the 



