A Quantitative Study on Dream of the Red Chamber: Word-Length Distribution and Authorship Attribution

Table 5

Using the Altmann-Fitter to fit the dynamic word-length distribution data of the three parts of DRC.

DM	Part I				Part II				Part III
	X^2	C	DF	R^2	X^2	C	DF	R^2	X^2	C	DF	R^2
A	159.13	0.0020	2	0.9996	155.35	0.0019	2	0.9996	132.27	0.0017	2	0.9997
B	389.53	0.0049	3	0.9992	361.69	0.0045	3	0.9993	341.08	0.0043	3	0.9994
C	274.19	0.0034	3	0.9997	231.26	0.0029	3	0.9998	225.45	0.0028	3	0.9998
D	68.92	0.0009	2	1.0000	35.47	0.0004	2	1.0000	67.05	0.0008	2	1.0000
E	96.35	0.0012	3	1.0000	57.92	0.0007	3	1.0000	100.00	0.0012	3	1.0000
F	508.79	0.0064	1	0.9990	493.78	0.0062	1	0.9991	430.86	0.0054	1	0.9992
G	66.87	0.0008	2	1.0000	33.03	0.0004	2	1.0000	63.73	0.0008	2	1.0000
H	415.33	0.0052	3	0.9992	376.08	0.0047	2	0.9994	361.54	0.0045	2	0.9994
I	148.31	0.0019	3	0.9998	114.11	0.0014	3	0.9998	132.62	0.0017	3	0.9998
J	384.14	0.0048	2	0.9992	351.96	0.0044	2	0.9993	336.50	0.0042	2	0.9994
K	70.14	0.0009	2	1.0000	35.51	0.0004	2	1.0000	70.38	0.0009	2	1.0000
L	81.60	0.0010	1	1.0000	44.19	0.0006	1	1.0000	83.76	0.0010	1	1.0000

Note. A: hyper-Pascal (k, m, q); B: hyper-Poisson (a, b); C: positive Cohen–Poisson (a, α); D: positive Cohen-negative binomial (k, p, α); E: extended logarithmic (θ, α); F: extended positive binomial (n, p; α fixed); G: extended positive-negative binomial (k, p; α fixed); H: Dacey–Poisson (a, α); I: Shenton–Skees geometric (p, a); J: Dacey-negative binomial (k, p, α); K: Shenton–Skees logarithmic (a, b, θ); L: right truncated modified Zipf–Alekseev (a, b; n = x-max,α fixed).