Question

a researcher wishes to design a fully blocked experiment with groups of subjects representing every possible combination of 1 explanatory variable and 5 other variables for a total of 6 variables. how many blocks will there be in her experiment?

Answer 1

Answer: There are 64 blocks will be present in her experiment.

Step-by-step explanation:

Since we have given that

Number of explanatory variable = 1

Number of other variable = 5

Total number of variable = 6

Since there are two types of variable given.

so, the number of blocks in her experiment would be

$2\times 2\times 2\times 2\times 2\times 2\\\\=2^6\\\\=64$

Hence, there are 64 blocks will be present in her experiment.

Answer 2

You have 6 variables with 2 levels each. Thus 2*2*2*2*2*2 or 2^6 or 64.