Split-Plot Variance

Problem

Return the variance of a difference between two whole-plot treatment means in a split-plot design: 2*(var_whole + var_sub/n_sub)/r_blocks for r whole-plot blocks. Return 0.0 when n_sub or r_blocks is not positive or a variance is negative.

Hint

Whole-plot effects carry more variance than subplot effects.

Test cases

case 1

in: [4,9,3,5]

expected: 2.8

case 2

in: [1,1,1,1]

expected: 4

case 3

in: [0,4,2,4]

expected: 1

case 4

in: [2,2,4,2]

expected: 2.5

case 5

in: [1,1,1,0]

expected: 0

Starter codePython

def split_plot_variance(var_whole, var_sub, n_sub, r_blocks):
    # Your code here
    pass

5 test cases · run your code against them in the editor