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. Author manuscript; available in PMC: 2013 Sep 30.
Published in final edited form as: Stat Interface. 2011 Jan 1;4(1):85–93. doi: 10.4310/SII.2011.v4.n1.a9

Table 1. Simulation results for sample size 50.

Seasonal pattern Method Null hypothesis Alternative hypothesis
Size1 Bias2 SE3 SEE4 CP5 Power6 Bias2 SE3 SEE4 CP5
Sine TRUE 0.050 0.000 0.200 0.199 0.947 0.792 0.000 0.198 0.199 0.947
NAÏVE 0.050 0.001 0.316 0.315 0.947 0.414 −0.001 0.313 0.315 0.948
LOESS 0.053 0.000 0.289 0.285 0.944 0.490 0.001 0.286 0.284 0.945
PRS 0.053 0.000 0.289 0.284 0.944 0.492 0.001 0.287 0.284 0.944
SINE 0.050 0.000 0.287 0.286 0.947 0.486 0.001 0.284 0.286 0.949
Quadratic TRUE 0.051 0.001 0.201 0.199 0.946 0.786 0.001 0.199 0.199 0.948
NAÏVE 0.050 0.003 0.420 0.419 0.947 0.260 0.000 0.421 0.418 0.946
LOESS 0.051 −0.001 0.288 0.284 0.946 0.492 0.000 0.29 0.283 0.942
PRS 0.052 0.000 0.288 0.283 0.945 0.493 0.000 0.291 0.283 0.941
SINE 0.050 0.002 0.347 0.347 0.948 0.354 0.002 0.351 0.346 0.945
Trapezoid TRUE 0.050 −0.001 0.199 0.199 0.948 0.787 −0.002 0.199 0.198 0.946
NAÏVE 0.048 −0.002 0.325 0.326 0.949 0.393 −0.001 0.324 0.325 0.949
LOESS 0.053 0.000 0.290 0.286 0.944 0.486 −0.002 0.289 0.285 0.943
PRS 0.054 0.000 0.290 0.285 0.943 0.488 −0.002 0.29 0.284 0.942
SINE 0.050 0.000 0.288 0.287 0.947 0.483 −0.002 0.287 0.287 0.946
1

The type I error rate under the null hypothesis;

2

The mean of the estimated difference minus the true difference;

3

The standard deviation of the estimate;

4

The mean estimated standard deviation of the estimate;

5

The empirical coverage probability;

6

The power under the alternative hypothesis.