 0499 Peterson, LE
 Statistical randomization test for QCD intermittency in
a singleevent distribution
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Apr 2, 04

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Abstract. A randomization test was developed to determine the statistical
significance of QCD intermittency in singleevent distributions.
A total of 96 simulated intermittent distributions based on
standard normal Gaussian distributions of size N=500, 1000, 1500,
2000, 4000, 8000, 16000, and 32000 containing induced holes and
spikes were tested for intermittency. Nonintermittent null distributions were also simulated as part of the test. A loglinear model was developed to simultaneously test the significance of fit
coefficients for the $y$intercept and slope contribution to
ln(F_2) vs. ln(M) from both the intermittent and null
distributions. Statistical power was also assessed for each fit
coefficient to reflect the proportion of times out of 1000 tests
each coefficient was statistically significant, given the induced
effect size and sample size of the Gaussians. Results indicate
that the slope of ln(F_2) vs. ln(M) for intermittent distributions increased with decreasing sample size, due to artificiallyinduced holes occurring in sparse histograms. For intermittent Gaussians with 4000 variates, there was approximately 70% power to detect a slope difference of 0.02 between intermittent and null distributions. For sample sizes of 8000 and greater, there was more than 70% power to detect a slope difference of 0.01. The randomization test performed satisfactorily since the power of the test for intermittency decreased with decreasing sample size. Power was nearzero when the test was applied to null distributions. The randomization test can be used to establish the statistical significance of intermittency in empirical singleevent Gaussian distributions.
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