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BibTeX entry
@Article{Dooley:1994:CV,
author = "John F. Dooley and Daniel C. {St. Clair} and William
E. Bond",
title = "Computing $ \chi^2 $ values",
journal = j-SIGCSE,
volume = "26",
number = "1",
pages = "218--222",
month = mar,
year = "1994",
CODEN = "SIGSD3",
DOI = "https://doi.org/10.1145/191033.191124",
ISSN = "0097-8418 (print), 2331-3927 (electronic)",
ISSN-L = "0097-8418",
bibdate = "Sat Nov 17 18:57:24 MST 2012",
bibsource = "http://portal.acm.org/;
http://www.math.utah.edu/pub/tex/bib/sigcse1990.bib",
abstract = "Textbooks and courses on numerical algorithms contain
numerous examples which lead students to believe that
the algorithm of choice for computing the zeros of a
function f(x) is Newton's algorithm. In many of these
courses little or no time is spent in providing
students with ``real world'' experiences where Newton's
method fails. The work presented in this paper
describes a slow convergence problem encountered while
trying to use Newton to estimate values for the $
\chi^2 $ distribution. The problem occurred while the
authors were trying to implement a well-known machine
learning algorithm from the field of artificial
intelligence. The function being evaluated and the
convergence problem with Newton's method is described.
Numerical results are given that indicate that a hybrid
algorithm consisting of Newton and the nonderivative
bisection algorithm not only provides good results but
quickly and consistently converges.",
acknowledgement = ack-nhfb,
fjournal = "SIGCSE Bulletin (ACM Special Interest Group on
Computer Science Education)",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J688",
}
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31(3)208
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27(1)350,
27(1)355,
29(3)27
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26(1)203,
26(4)59,
27(2)2,
29(1)67,
30(1)145,
31(3)29,
31(3)171
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31(1)345,
31(4)4
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22(2)59,
22(4)37,
22(4)49,
23(2)29,
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26(1)281,
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31(3)44,
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31(3)147,
31(3)163,
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31(3)198,
31(4)13
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22(4)5,
23(2)21,
23(2)51,
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24(1)163,
24(1)246,
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27(1)345,
27(3)50,
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29(1)306,
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30(1)112,
30(1)145,
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30(3)46,
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30(3)108,
30(3)139,
30(3)181,
30(3)206,
30(3)219,
31(1)3,
31(1)155,
31(1)165,
31(1)170,
31(1)247,
31(1)331,
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31(3)21,
31(3)107,
31(3)127,
31(3)155,
31(3)179,
31(3)196,
31(4)35,
31(4)52,
31(4)79
- quickly,
24(3)1,
24(3)11,
29(1)360,
29(3)45,
30(3)284,
31(4)70
- real,
22(1)216,
22(4)55,
23(1)130,
23(1)199,
24(1)107,
24(3)45,
26(4)25,
27(1)131,
27(1)146,
27(1)322,
28(1)4,
28(4)59,
29(1)53,
29(1)67,
29(3)54,
29(4)30,
29(4)45,
30(1)40,
30(1)198,
30(1)341,
30(3)86,
30(3)199,
31(1)63,
31(1)68,
31(1)165,
31(1)170,
31(1)184,
31(1)237,
31(2)28,
31(3)99,
31(3)139,
31(3)204,
31(4)13
- slow,
24(2)29,
24(3)11,
28(1)155
- spent,
23(3)17,
25(4)13,
30(1)322
- textbook,
23(2)55,
24(1)142,
24(1)213,
24(2)15,
24(3)45,
24(3)51,
26(1)131,
26(1)198,
26(1)213,
26(1)281,
27(1)56,
28(1)155,
28(3)17,
29(1)96,
29(1)238,
29(2)7,
31(1)146,
31(1)237,
31(1)286,
31(1)321,
31(2)28,
31(2)78,
31(4)50
- trying,
22(3)7,
26(1)366,
28(1)266,
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29(1)184,
30(1)87,
30(4)51,
31(3)9
- value,
22(2)52,
22(4)55,
26(1)92,
26(1)304,
27(1)24,
27(1)287,
28(4)36,
28(4)55,
29(3)21,
29(4)30,
30(1)322,
30(3)98,
30(3)108,
30(4)46,
31(1)122,
31(2)69,
31(3)68,
31(3)111,
31(3)123,
31(4)32,
31(4)61,
31(4)79
- well-known,
24(3)11,
27(3)34,
30(1)341
- where,
22(1)251,
22(3)7,
22(3)21,
23(1)130,
23(2)29,
23(3)5,
23(4)51,
24(1)246,
24(2)59,
24(4)1,
25(1)300,
25(2)51,
25(3)45,
25(4)2,
25(4)41,
26(1)21,
26(1)92,
26(1)160,
26(1)309,
26(1)314,
26(1)349,
27(1)1,
27(1)6,
27(1)19,
27(1)360,
27(3)7,
28(1)47,
28(1)295,
28(3)55,
28(4)8,
28(4)55,
29(1)101,
29(1)121,
29(1)145,
29(1)330,
30(1)30,
30(1)73,
30(1)176,
30(1)227,
30(1)378,
30(3)18,
30(3)153,
30(3)275,
31(1)27,
31(1)127,
31(1)170,
31(1)232,
31(1)346,
31(2)73,
31(3)99,
31(4)39
- while,
22(2)52,
22(2)59,
22(4)5,
23(2)21,
24(1)57,
24(1)173,
24(2)20,
24(3)11,
24(3)35,
25(4)9,
26(1)26,
26(1)36,
26(1)46,
26(1)51,
26(1)203,
26(1)300,
26(4)17,
26(4)45,
27(1)39,
27(1)173,
27(1)322,
27(1)331,
27(3)50,
27(4)51,
28(1)160,
28(1)195,
28(1)204,
28(1)310,
28(2)21,
28(2)37,
28(2)40,
28(3)2,
28(3)17,
29(1)121,
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31(1)311,
31(1)331,
31(1)346,
31(3)5,
31(3)99,
31(3)103,
31(3)139,
31(3)147,
31(3)194,
31(4)4,
31(4)48
- world,
22(1)143,
22(1)216,
24(1)107,
24(1)202,
24(1)240,
24(1)246,
25(1)213,
26(1)97,
26(1)102,
26(1)228,
27(1)146,
27(1)178,
27(3)21,
28(1)160,
28(1)175,
28(1)185,
28(1)195,
28(1)280,
28(1)290,
28(2)3,
28(z)1,
28(z)20,
28(z)57,
28(z)66,
28(z)101,
28(z)218,
28(z)231,
29(1)39,
29(1)96,
29(1)116,
29(1)199,
29(1)384,
29(3)8,
29(3)37,
29(3)54,
29(3)59,
29(3)71,
29(3)127,
30(1)40,
30(1)107,
30(1)145,
30(1)176,
30(1)194,
30(1)222,
30(1)227,
30(1)277,
30(1)341,
30(1)345,
30(1)382,
30(3)5,
30(3)51,
30(3)139,
30(3)189,
30(3)209,
30(3)275,
30(3)279,
30(3)290,
30(4)4,
30(4)39,
31(1)146,
31(1)174,
31(1)311,
31(2)73,
31(3)60,
31(3)119,
31(3)147,
31(3)182,
31(3)206
- zero,
28(3)9