CNercrsreeriesronnaersenene= = 1) Compute the sum of all the entries in each row and enter it in column A (1 + 24+ 1 +34+---4+0+42 =18, ete.). 2) Do the same for each column (1 + 1+4+---+6+4+ 1 = 17, etc.). 3) Sum column A and row a; these should be equal (18 + 69 + --- + 31 = 1629 = 17 + 47+ .---+ 27). Enter total. 4) In the first row, compute the cumulative sum of each entry multiplied by the corresponding z-value (1-04+2-14+1-243-3+0-4+---+2-9 = 83). Enter in column B. ; ' \ 5) In the first row, compute the cumulative sum of each entry multiplied by the next higher z-value (1-14+2-24+1-34+3-4+.---42-10 = 101). Enter in column C. Should be equal to sum of corresponding values in columns A and B (101 = 83 + 18). 6) Do the same for each of the rows and each of the columns. Note that the figures in column C are just check-sums, and are not used further in the work. They need not even be written down once they check. 7) Compute the sum of column B (83 + 375 + --- + 175 = 7605). i 8) In row a, compute the cumulative sum of each entry multiplied by the corresponding z-value (17-0+4+47-1-+---+4 27-9 = 7605). This should equal the number computed in the previous step. Entertotal. 9) Compute the sum of row b (102 4+ 198 + --- + 127 = 7371) and check that it is the same as the cumulative sum of each entry in column A multiplied by the corresponding y-value (18-0 + 69-1+.---+ 31-9 = 7371). Enter total. 10) In column A, compute the cumulative sum of each entry multiplied by the square of the corresponding y-value (18-0 + 69-1 + 152-44 271-9-+--+-+ 31-81 = 39389). Entertotal. 11) In column A, compute the cumulative sum of each entry multiplied by the square of the next higher y-value (18-1 + 69-4 + 152-9 + 271-16+.---+ 31-100 = 55760). This should equal the figure in cA plus twice the figure in bA plus the figure in aA (55760 = 39389 + 2- 7371 + 1629). , It is just a check-figure and is not used again. 12) In row a, compute the cumulative sum of each entry multiplied by the square of the corresponding z-value (17-0-+ 47-1+139-4+.---+ 27-81 = 40847) and enter total; compute the sum with each entry multiplied by the square of the next higher x-value (17-1+ 47-4-+139-9+---+ 27-100 = 57686). Asacheck: 57686 = 40847 + 2- 7605 + 1629. 13) In column B, compute the cumulative sum of each entry multiplied by the correspond- ing y-value (83-0 + 375-14 772-2+.---+ 175-9 = 34322). 14) In row b, compute the cumulative sum of each entry multiplied by the corresponding z-value (102-0-+ 198-1 + 597-2+---+ 127-9 = 34322). the value obtained in the last step. Enter total. This should be equal to 15) Of the values so far computed we retain only the triangular array in the lower righthand corner: 1629 7371 39389 7605 34322 40847 From these the parameters of the population are computed according to the scheme: z = 7605/1629 o2 = (40847/1629) — 2? y = 7371/1629 o2 = (39389/1629) — 7 Gry = (34822/1629) — zy Pp = Oy/d20, Thus, in this case, z = 4.67, y = 4.52,¢0, = 1.81, ¢, = 1.93, 02, = —0.054, and p = —.015. It should be recalled that z and y are assumed to be measuredin units of 2 miles, and these are therefore the ynits in the results (i.e., actually ¢, = 3.62 miles). ORO~R-17 (App B) 77