40 Choice in the Distribution of Observations 
1 
1 - 
(1-^2)2 
(l-,r2)f 
2^-1^ (2g- 1)(2(7+ 1) •••(2g+2j3-5)(2? + 2j9-3) 
2 2.4 2.4 
(2g-l)(2g+l) (2^- l)(2g+ 1)(2(7+ 3) (2g + 2p- 5)...(2g + 2^-1) 
2.4 2.4.6 2.4.6 
(2?- 1)(2^+ l)(29 + 3) (2g-l)(2g + l)(2g + 3)(2g + 5) •'• (2g+ 2^j- 5)...(2g + 2^? + l) 
2.4...2JJ 2.4...223(2?9 + 2) 2 . 4 ... 2j) (2j) + 2) 
(2?-l)(-2g + l)...(2(?+279-l) (2g-l)(2g + l). .. (2^+2^9 + 1) ■■• (2(?+ 2^3- 5)...(2? + 4?)- 3) 
and after {"p — 1) sets of operations 
1 2_ 2.4 ... (2y- 2) 
2q-l^~'' {2q~\){2q+\) {2q~\){2q + \)...{2q+2f-?,) 
2 2 2^^ 2.4...(2^-2)2;p 
* (2^lT(22TT) (2y-"l)(2<7+ l)(2(7+3) ••■ (29""l)(2^ + l)...(2g+ 2^9- 1) 
2^ 2.4.6 2. 4...2j9(2j>+2) 
(2(7- l)(2g+ l)(2g+ 3) (2g-l)(2(7 + l)(2(? + 3)(2^ + 5) ••■ (2?-l)(2g + l)...(2g+ 2^>+ 1) 
(l_^2)p 2. 4. ..2^3 2.4...2^;(2|>+2) 2 . 4 ... (4p - 4) (4^? - 2^ 
(2g-l)(2(? + l)...(2(/+2;3-l) (2g-l)(2j + l)...(2g + 2^9 + l)---(2g-l)(2g + l)...(2g+4p-3) 
since 1)" 2^ 2 = (_ 
Here the first element of the last p — \ columns is seen to occur as factor for 
the whole column so that we can put outside the factor 
2^-1.4^-2... (2j3- 4)2(2y- 2) 
(2g - 1)"-! (2g + {2q + 3)f-2 (2g + 5)''-3 ... (2^ + 2jo - 5)^ {2q + 2p - 3) 
p(p-i) 
lf-i.2f-2... (jo- 2)2(j)- 1)2 2 
(2g - l)f-i(2^ + iy'~^2q + 3)f-2(2(7 + 5)'^-3 ...{2q+ 2^9-5)2(2^+2^3-3) ' 
the resulting expression being 
p(p-i) 
« (- 1)^-. 1^-1.2^-2... (y- 2)2(p- 1)2 2 
' (2g- !)''-! (2r/+ l)f-i(2(? + 3)s'-2... (2^? + 2jt> - 5)^ (2(? + 279 ^ 
1 + a 1 ... 1 
I-.2 2 4 ____2l 
(2(?- 1)(2(7+ 1) 2g+3 ••' 2g + 2^9 - 1 
(,2)2 _ 2 . 4 _ 4.6 2y (2j9+2) 
^ (2?- 1)(29+ l)(2<7 + 3) (2? +3) (2^ + 5) {2q + 2p - 1) {2q + 2p + 1) 
2.4... 2y ^.6...(2jo + 2) 2p...{ip-2) 
{2q - 1) {2q + l)...{2q \- 2p - 1) (2^ + 3)...{2q + 2p + l)--- {2q +2p- l)...{2q + ip - 3) 
