Question

you have a full factorial design with two levels for three factors. every trial had 2 runs. the difference in response values for every trial were [2,5,4,3,2,3,4,5]. calculate standard error for the effects.

how to do this? I tried lots of times.

Answer 1

ANSWER:

Given data,

you have a full factorial design with two levels for three factors. every trial had 2 runs. the difference in response values for every trial were [2,5,4,3,2,3,4,5]. calculate standard error for the effects.

= x / n

= (2+5+4+3+2+3+4+5) / 8

= 28 / 8

= 3.5

Standard deviation = s = sqrt( (x- )^2 / (n-1)

= sqrt(((2-3.5)^2+(5-3.5)^2+(4-3.5)^2+(3-3.5)^2+(2-3.5)^2+(3-3.5)^2+(4-3.5)^2+(5-3.5)^2) / (8-1)))

= 1.195229

standard error

SE = s / sqrt(n)

SE = 1.195229 / sqrt(8)

SE = 0.422577

SE = 0.4226 (Rounded to four decimal places)

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