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Table 2 Predicted and observed ranges, means (<ser>), and standard deviations (SD) of platelet 5-HT levels, ser(α, γ). The distribution of γ was assumed to be continuously uniform; the theoretical SD values given in the table can be further improved by assuming that γ has a beta distribution or a normal distribution (see the text). Note that, strictly speaking, the model's <ser > and SD are precise theoretical expectations and standard deviations and, therefore, the notation μ ser (α, a, b) and σ ser (α, a, b) would be more accurate (but less convenient here).

From: Statistical distribution of blood serotonin as a predictor of early autistic brain abnormalities

  Mulder et al. [39] (nmol/109 platelets) Coutinho et al. [40] (ng/109 platelets) McBride et al. [74] (ng/ml)
  Model Observed Model Observed Model Observed
Min normal 1.42 0.67 0 66 75 85
Max normal 5.57 5.67 598 676 417 449
< ser > normal 3.66 3.58 320 260 252 230
SD normal 1.19 1.08 172 137 99 -
Min autistic 1.37 2.33 0 50 73 120
Max autistic 8.18 8.33 925 1125 546 567
< ser > autistic 4.58 4.51 414 304 294 287
SD autistic 1.96 1.61 265 207 136 -