Interrupted Time-Series (ITS)

Assignment	Clustering Level	Treatment Assignment	Treatment Level	Cluster Effect
blocked	3	cluster	2	constant at level 3 random at level 2

from pypowerup import effect_size, sample_size, power

No comparison units

# effect size, i.e., minimum detectable effect sizes (MDES)
effect_size(design = "its_nocompare", rho2=0.03, T=5, n=75, K=10, r22=0, tf=2, g=0)

0.3658177052373508

# sample_size, i.e., minimum required samples sizes (MRSS) for level 3 units
sample_size(design = "its_nocompare", es=0.3658177052373508, rho2=0.03, T=5, n=75, r22=0, tf=2, g=0)

10.0

# power
power(design = "its_nocompare", es=0.3658177052373508, rho2=0.03, T=5, n=75, K=10, r22=0, tf=2, g=0)

0.8000060699483386

Parameters	effect_size	sample_size	power
design	✓	✓	✓
es		✓	✓
n	✓	✓	✓
K	✓		✓
power	✓	✓
alpha	✓	✓	✓
two_tailed	✓	✓	✓
p	✓	✓	✓
r22	✓	✓	✓
rho2	✓	✓	✓
g	✓	✓	✓
T	✓	✓	✓
tf	✓	✓	✓

With comparison units

# effect size, i.e., minimum detectable effect sizes (MDES)
effect_size(design = "its_wcompare", rho2=0.03, T=5, n=75, K=10, r22=0, tf=2, g=0,q=2)

0.44803335835368546

# sample_size, i.e., minimum required samples sizes (MRSS) for level 3 units
sample_size(design = "its_wcompare", es=0.44803335835368546, rho2=0.03, T=5, n=75, r22=0, tf=2, g=0, q=2)

10.0

# power
power(design = "its_wcompare", es=0.44803335835368546, rho2=0.03, T=5, n=75, K=10, r22=0, tf=2, g=0, q=2)

0.8000060699483386

Parameters	effect_size	sample_size	power
design	✓	✓	✓
es		✓	✓
n	✓	✓	✓
K	✓		✓
power	✓	✓
alpha	✓	✓	✓
two_tailed	✓	✓	✓
p	✓	✓	✓
r22	✓	✓	✓
rho2	✓	✓	✓
g	✓	✓	✓
T	✓	✓	✓
tf	✓	✓	✓
q	✓	✓	✓