PLEASE HELP ! 2) Given the
example operations below, which “Property of Congruence" or
"Property of Equality" justifies going from the first statement to the second?
(check your notes! Don't do this from memory!). The first answer has been
provided for you.
Example Operation:
Property:
3x + 7 = 19
3x = 12
Subtractive property of Equality
4x = 20
X = 5
21 22 and 2322
21223
5x - 4 = 15
5x = 19

Consider the linear model for a two-stage nested design with b nested in a as given below. yijk=\small \mu + \small \taui + \small \betaj(i) + \small \varepsilon(ij)k , for i=1,; j= ; k=1, assumption: \small \varepsilon(ij)k ~ iid n (0, \small \sigma2) ; \small \taui ~ iid n(0, \small \sigmat2 ); \tiny \sum_{j=1}^{b} \small \betaj(i) =0; \small \varepsilon(ij)k and \small \taui are independent. using only the given information, derive the least square estimator of \small \betaj(i) using the appropriate constraints (sum to zero constraints) and derive e(msb(a) ).