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. Author manuscript; available in PMC: 2018 Nov 2.
Published in final edited form as: Commun Stat Theory Methods. 2017 Jul 10;46(19):9834–9841. doi: 10.1080/03610926.2016.1222433

Table 2:

Quantiles calculated using approximation (1) for the noncentral chi-square distribution with ν = 10 DF and noncentrality parameter λ = 2 in comparison with R function qchisq.

R function Approximation (1) Difference* Approximation (1) Difference*
p qchisq (h=0.0001) (×105) (h=0.00001) (×105)
0.0005 1.5414 1.5414 0.2167 1.5414 0.0127
0.0010 1.8012 1.8012 0.1303 1.8012 0.0076
0.0050 2.6229 2.6229 0.0404 2.6229 0.0023
0.0100 3.1103 3.1103 0.0249 3.1103 0.0014
0.0500 4.7796 4.7796 0.0088 4.7796 0.0005
0.1000 5.8929 5.8929 0.0060 5.8929 0.0003
0.3000 8.7711 8.7711 0.0040 8.7711 0.0002
0.7000 14.1344 14.1344 0.0054 14.1344 0.0003
0.9000 19.0887 19.0887 0.0130 19.0887 0.0008
0.9500 21.8055 21.8055 0.0241 21.8055 0.0014
0.9900 27.5151 27.5151 0.1077 27.5151 0.0062
0.9950 29.8092 29.8092 0.2111 29.8092 0.0120
0.9990 34.8901 34.8900 2.6279 34.8901 0.0570
0.9995 36.9975 36.9973 23.9978 36.9975 0.1144
*

Difference from R function qchisq