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Table 2 Description of 4 simulation experiments where the response variable is distributed according to a discrete multinomial distribution on the points {0.05, 0.15, 0.25, 0.35, 0.45, 0.55, 0.65, 0.75, 0.85, 0.95} with corresponding probabilities of occurrence listed in the table for each of the two groups under consideration

From: A Monte Carlo simulation study comparing linear regression, beta regression, variable-dispersion beta regression and fractional logit regression at recovering average difference measures in a two sample design

  Group 0 – multinomial response probabilities Group 1 – multinomial response probabilities
Yi values 0.05 0.15 0.25 0.35 0.45 0.55 0.65 0.75 0.85 0.95 0.05 0.15 0.25 0.35 0.45 0.55 0.65 0.75 0.85 0.95
Type-1 error experiments 0.00 0.025 0.025 0.15 0.30 0.30 0.15 0.025 0.025 0.00 0.00 0.025 0.025 0.15 0.30 0.30 0.15 0.025 0.025 0.00
  0.40 0.20 0.10 0.10 0.10 0.05 0.05 0.00 0.00 0.00 0.40 0.20 0.10 0.10 0.10 0.05 0.05 0.00 0.00 0.00
Power experiments 0.00 0.025 0.025 0.15 0.30 0.30 0.15 0.025 0.025 0.00 0.00 0.00 0.025 0.025 0.15 0.30 0.30 0.15 0.025 0.025
  0.40 0.20 0.10 0.10 0.10 0.05 0.05 0.00 0.00 0.00 0.00 0.40 0.20 0.10 0.10 0.10 0.05 0.05 0.00 0.00