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. Author manuscript; available in PMC: 2011 May 12.
Published in final edited form as: J Stat Softw. 2011 Mar 1;39(8):1–30. doi: 10.18637/jss.v039.i08

Table 1.

Empirical threshold values from Monte Carlo simulations ( nr = 1000, alpha = 0.01).

Item no. cat. Prob. Cox & Snell Nagelkerke McFadden β1
χ122
χ132
χ232
R122
R132
R232
R122
R132
R232
R122
R132
R232

1 3 .010 .016 .008 .005 .007 .006 .007 .009 .008 .006 .008 .007 .035
2 3 .009 .014 .018 .005 .007 .005 .007 .009 .006 .006 .007 .005 .039
3 3 .008 .009 .010 .004 .005 .004 .005 .007 .005 .006 .008 .006 .032
4 4 .012 .009 .009 .004 .006 .004 .004 .006 .005 .004 .005 .004 .027
5 3 .011 .008 .007 .004 .006 .004 .005 .007 .005 .006 .009 .007 .035

6 3 .011 .014 .014 .004 .005 .003 .005 .006 .004 .005 .007 .005 .028
7 3 .015 .010 .009 .004 .006 .005 .005 .007 .005 .004 .006 .005 .030
8 3 .009 .008 .010 .005 .007 .005 .006 .009 .006 .005 .007 .005 .037
9 3 .014 .013 .009 .004 .006 .005 .005 .007 .006 .004 .006 .005 .034
10 3 .008 .016 .014 .003 .004 .003 .004 .005 .004 .006 .007 .005 .030

11 3 .005 .008 .011 .007 .009 .006 .008 .010 .007 .006 .007 .005 .043
12 3 .017 .018 .014 .004 .005 .004 .004 .006 .005 .004 .005 .004 .029
13 3 .009 .013 .017 .005 .006 .004 .005 .007 .005 .005 .007 .004 .038
14 3 .007 .007 .009 .005 .006 .004 .005 .007 .005 .005 .007 .004 .034
15 3 .008 .008 .006 .004 .005 .004 .004 .006 .005 .005 .008 .006 .031

16 3 .014 .013 .008 .004 .005 .004 .004 .006 .005 .004 .005 .004 .028
17 2 .006 .005 .005 .006 .008 .006 .010 .013 .010 .011 .015 .011 .054
18 4 .009 .009 .014 .005 .007 .004 .006 .007 .005 .004 .005 .003 .030
19 3 .007 .007 .005 .004 .005 .004 .005 .007 .005 .006 .009 .007 .028
20 3 .010 .007 .008 .003 .005 .003 .004 .006 .004 .005 .008 .006 .032

21 3 .009 .006 .009 .006 .009 .006 .007 .011 .007 .005 .008 .005 .041
22 3 .007 .011 .013 .004 .005 .003 .005 .006 .004 .005 .006 .004 .030
23 3 .004 .009 .014 .005 .006 .004 .006 .007 .004 .005 .006 .004 .034
24 4 .016 .012 .009 .004 .006 .004 .004 .006 .005 .003 .005 .004 .027
25 4 .010 .014 .013 .005 .006 .005 .005 .007 .005 .003 .004 .003 .034

26 3 .006 .009 .010 .005 .006 .004 .005 .006 .004 .005 .006 .004 .029
27 3 .016 .013 .020 .003 .005 .003 .004 .005 .004 .004 .006 .004 .025
28 3 .016 .011 .009 .003 .005 .004 .003 .005 .004 .004 .005 .004 .024
29 3 .012 .012 .009 .003 .004 .003 .004 .005 .004 .005 .007 .005 .025

Mean .010 .011 .011 .004 .006 .004 .005 .007 .005 .005 .007 .005 .032
SD .004 .003 .004 .001 .001 .001 .001 .002 .001 .001 .002 .002 .006