More about the tables [Power / Sample Size]

Dear sample size geeks, nerds, and simul-ants (weirdos for short),

for each combination of design, power, GMR, and CV: Red circles = sample sizes of the Two Lászlós (if >201 none). Green bars = sampleN.scABEL(..., nsims = 1e5) or sampleN.RSABE(..., nsims = 1e5); always balanced sequences. Blue circles = twenty runs simulated with 10,000 sim’s each (random seeds). Starting from the respective result, I decreased the sample size whilst maintaining power. This might give unbalanced sample sizes (even sample sizes for the partial replicate and odd ones for the full replicate).

ABEL (EMA)
• 3-period 3-sequence partial replicate [TRR|RTR|RTT]
• Power 80%

• Power 90%

• 4-period 2-sequence full replicate [TRTR|RTRT]
• Power 80%

• Power 90%

Now a comparison of the reported sample sizes (y-axis) vs. PowerTOST’ (x-axis). Blue from the tables, and red up-rounded to the next complete sequence. Do the linear fits closer to the unity line? Sometimes yes, sometimes not.
• 3-period 3-sequence partial replicate [TRR|RTR|RTT]
• Power 80%

• Power 90%

• 4-period 2-sequence full replicate [TRTR|RTRT]
• Power 80%

• Power 90%

RSABE (FDA)
• 3-period 3-sequence partial replicate [TRR|RTR|RTT]
• Power 80%

• Power 90%

• 4-period 2-sequence full replicate [TRTR|RTRT]
• Power 80%

• Power 90%

Comparison of the reported sample sizes (y-axis) vs. PowerTOST’ (x-axis). Blue from the tables, and red up-rounded to the next complete sequence. Do the linear fits get closer to the unity line? Generally yes.
• 3-period 3-sequence partial replicate [TRR|RTR|RTT]
• Power 80%

• Power 90%

• 4-period 2-sequence full replicate [TRTR|RTRT]
• Power 80%

• Power 90%

The upper part of the RSABE sample sizes looks disturbing first. Explanation: Since the sample sizes are generally smaller than for ABEL, the many imbalanced sequences have a larger impact. However, rounding up to the next complete sequence (red circles) in the lower part gives a better match (closer to the unity line).

Maybe you can make sumfink out of it. I still hold that 10,000 simulations are too few.

Dif-tor heh smusma 🖖
Helmut Schütz

The quality of responses received is directly proportional to the quality of the question asked. 🚮
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