Question
In: Statistics and Probability
15. Consider the 25 factorial design in two blocks. If ABCDE is confounded with blocks, then...
15. Consider the 25 factorial design in two blocks. If ABCDE is confounded with blocks, then which of the following treatments is in the same block as the treatment acde? (a, acd, bcd, be, abe, None of the above).
Solutions
Expert Solution
Option (iv) be
Justifies as below:
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orchestra answered 2 years agoRelated Solutions
Confound a 25 factorial into four blocks of eight, confounding BCD and ACD with blocks. Write...
Confound a 25 factorial into four blocks of eight,
confounding BCD and ACD with blocks. Write out the factor-level
combinations that go into each
block.
Question 3: Consider a 25 factorial design. (a) How many factors and levels are considered in...
Question 3: Consider a 25 factorial design.
(a) How many factors and levels are considered in this factorial
experiment?
(b) Show all the 32 treatment combinations using a, b, c, d, and
e.
(c) Suppose you are not able to complete all 32 experiments in a
day but you believe 16 experiments can be done in a day. How many
blocks do you need under this situation?
(d) Revisiting part (c), which interaction effect would be
confounded with the blocks?...
Consider a 2^5 factorial design. (a)How many factors and levels are considered in this factorial experiment?...
Consider a 2^5 factorial design.
(a)How many factors and levels are considered in this factorial
experiment?
(b)Show all the 32 treatment combinations using a, b, c, d, and
e.
(c)Suppose you are not able to complete all 32 experiments in a
day but you believe 16 experiments can be done in a day. How many
blocks do you need under this situation?
(d)Revisiting part (c), which interaction effect would be
confounded with the blocks? Using the sign method, assign optimal...
In a 25 design with factors A, B, C, D and E, several blocks were generated...
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
_____________________________________
_____________________________________
In a 25 design with factors A, B, C, D and E, several blocks were generated...
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
_____________________________________
_____________________________________
In a 25 design with factors A, B, C, D and E, several blocks were generated...
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
_____________________________________
i need a scenario for factorial design
i need a scenario for factorial design
Consider the following data from a factorial-design experiment. The DV was “% of participants who offered...
Consider the following data from a factorial-design experiment.
The DV was “% of participants who offered help to a stranger in
distress.”
1.What is the design of this study (e.g., 2 × 2, 2 × 3,
etc.)?
2.List the independent variables of this study, and list the
levels of each.
3.Sketch a graph of the results of the study. Fill in the names
and levels of the IVs.
4.Main effects
-On the average, how does the number of bystanders affect...
Why is factorial design with two or more independent variables can be difficult to interpret?
Why is factorial design with two or more independent
variables can be difficult to interpret?
Question 4: Consider a 28-3 fractional factorial design with design generators F=ABC, G=ABD, and H=BCDE a)...
Question 4: Consider a 28-3 fractional factorial
design with design generators F=ABC, G=ABD, and H=BCDE
a) Find the complete defining relation and generate the alias
structure using the principle (positive) fraction. Second,
determine the design resolution (you need to show your
justification).
b) List the basic variables and the design configuration (All 32
design points with the + and – signs. You should show the setting
for all 8 factors by using the design generators) (Hint: Here there
are 5...
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