Suppose X1..., X50, for k = 1, 2, 3, 4 are independent 2- dimensional random samples from 4 treatments. Suppose the Between (B) and Within (W) sum of squares and cross product matrices are as follows...


Suppose X1..., X50, for k = 1, 2, 3, 4 are independent 2-<br>dimensional random samples from 4 treatments. Suppose the Between<br>(B) and Within (W) sum of squares and cross product matrices are as<br>follows<br>1911<br>1372<br>250<br>50<br>W<br>B<br>1372 3773<br>50<br>250<br>Test the hypothesis that Ho : u, = µ, = H, = H, at level a = .05,<br>where u, , k = 1, 2, 3, 4 are the population mean vector of treatments<br>k = 1, 2, 3, 4, respectively.<br>%3D<br>Note that W = 5327819, |B|<br>= 60000, |B+ W| = 6671619<br>%3D<br>%3D<br>X3(.05) = 5.99, xG(.05) = 12.59<br>Since -(196) * log. (.7986) > x(.05) we reject Hoat level a = .05.<br>O Since -(196) log. (0.009) > x(.05) we reject Hoat level a = .05.<br>O Since -(196) * log, (.7986) > x(.05) we reject Hoat level a = .05.<br>O Since - (196) log, (0.009) > X(.05) we reject Hoat level a = .05.<br>

Extracted text: Suppose X1..., X50, for k = 1, 2, 3, 4 are independent 2- dimensional random samples from 4 treatments. Suppose the Between (B) and Within (W) sum of squares and cross product matrices are as follows 1911 1372 250 50 W B 1372 3773 50 250 Test the hypothesis that Ho : u, = µ, = H, = H, at level a = .05, where u, , k = 1, 2, 3, 4 are the population mean vector of treatments k = 1, 2, 3, 4, respectively. %3D Note that W = 5327819, |B| = 60000, |B+ W| = 6671619 %3D %3D X3(.05) = 5.99, xG(.05) = 12.59 Since -(196) * log. (.7986) > x(.05) we reject Hoat level a = .05. O Since -(196) log. (0.009) > x(.05) we reject Hoat level a = .05. O Since -(196) * log, (.7986) > x(.05) we reject Hoat level a = .05. O Since - (196) log, (0.009) > X(.05) we reject Hoat level a = .05.

Jun 07, 2022
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