A Method for Simulating Burr Type III and Type XII Distributions through 𝐿-Moments and 𝐿-Correlations

Table 3

Chi-square goodness of fit statistics for the conventional (𝐶) moment- and the 𝐿-moment-(𝐿) based Burr Type XII approximations for the ankle circumference (𝑛=252) data in Figure 3.

Percent	Expected	Obs. (𝐶)	Obs. (𝐿)	Ankle circumference (𝐶)	Ankle circumference (𝐿)
10	25.2	22	18	<21.4866	<21.3760
20	25.2	15	29	21.4866–21.7890	21.3760–21.8701
30	25.2	29	30	21.7890–22.0747	21.8701–22.2360
40	25.2	18	26	22.0747–22.3687	22.2360–22.5606
50	25.2	30	25	22.3687–22.6888	22.5606–22.8795
60	25.2	27	27	22.6888–23.0571	22.8795–23.2201
70	25.2	30	20	23.0571–23.5107	23.2201–23.6175
80	25.2	29	25	23.5107–24.1310	23.6175–24.1426
90	25.2	33	32	24.1310–25.1858	24.1426–25.0244
100	25.2	19	20	25.1858 or more	25.0244 or more
				𝜒^2=13.6349	𝜒^2=7.6825
				𝑝=0.0181	𝑝=0.1746