Question

3. - In a 2⁵ design with factors A, B, C, D and E, several blocks were generated by confounding the interactions BCE and ADE.

a) Then the number of blocks generated is ______________

b) The generalized interaction that gets confounded is _________________

c) If two of the blocks are: [a, d, abc, bcd, be, abde, ce, acde]

[(1), ad, bc, abcd, abe, bde ace, cde]

then the next two blocks are

_____________________________________

_____________________________________

4. - In a 2⁴design with factors A, B, C and D, a fraction was generated using the defining relation

I = - ABCD.

a) Which fraction and resolution is this experiment?

Fraction = _________ Resolution = ________

b) If the basic design is given by the factors A, B, and C, define the column for D using the minus and plus signs

c) The alias of D is ________________

and the alias of A is ________________

d) If the estimate for A in this fraction is [A]’ = 19, what is the alias structure of this estimate?

[A]’ →

e) If an estimate of A from the fraction obtained using the relation I = ABCD is [A] = 24.25, find the estimates of A and its alias.

Answer 1

3(a) Total blocks will be 11

M A B C D E BCE ADE ABCD ADE BCE

(b) Genrealized interaction get confounded

BCE*ADE=ABCD

(C) The next two blocks are

multiplying second block by b and e respectively

b abd c acd ac de abce bcde

e ade b abcde ab bd ac cd  

4.(a) farctional factorial

Resolution 4

(b) the sign will be as follows

++----++--++++--

(c) Alias of D=ABC

Alias of A=BCD

(D) All are equal to the value of A and BCD