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path: root/sourcecodes/bnt-master/SLP/misc/chi2_table.m
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function value = chi2_table(P, df)
%  function value = chi2_table(P, df)
%  
%  df	0.25	0.20	0.15	0.10	0.05	0.025	0.02 	0.01	0.005	0.0025	0.001	0.0005 
%  1 	1.32	1.64	2.07	2.71	3.84	5.02	5.41	6.63 	7.88	9.14	10.83	12.12 
%  2 	2.77	3.22	3.79	4.61	5.99	7.38	7.82	9.21 	10.60	11.98	13.82	15.20 
%  3 	4.11	4.64	5.32	6.25	7.81	9.35	9.84	11.34 	12.84	14.32	16.27	17.73 
%  4 	5.39	5.59	6.74	7.78	9.49	11.14	11.67	13.23 	14.86	16.42	18.47	20.00 
%  5 	6.63	7.29	8.12	9.24	11.07	12.83	13.33	15.09 	16.75	18.39	20.51	22.11 
%  6 	7.84	8.56	9.45	10.64	12.53	14.45	15.03	16.81 	13.55	20.25	22.46	24.10 
%  7 	9.04	5.80	10.75	12.02	14.07	16.01	16.62 	18.48	20.28	22.04	24.32	26.02 
%  8 	10.22	11.03	12.03	13.36	15.51	17.53	18.17 	20.09	21.95	23.77	26.12	27.87 
%  9 	11.39	12.24	13.29	14.68	16.92	19.02	19.63 	21.67	23.59	25.46	27.83	29.67 
%  10 	12.55	13.44	14.53	15.99	18.31	20.48	21.16 	23.21	25.19	27.11	29.59	31.42 
%  11 	13.70	14.63	15.77	17.29	19.68	21.92	22.62	24.72	26.76	28.73	31.26	33.14 
%  12 	14.85	15.81	16.99	18.55	21.03	23.34	24.05	26.22	28.30	30.32	32.91	34.82 
%  13 	15.93	15.58	18.90	19.81	22.36	24.74	25.47	27.69	29.82	31.88	34.53	36.48 
%  14 	17.12	18.15	19.4	21.06	23.68	26.12	26.87	29.14	31.32	33.43	36.12	38.11 
%  15 	18.25	19.31	20.60	22.31	25.00	27.49	28.26	30.58	32.80	34.95	37.70	39.72 
%  16 	19.37	20.47	21.79	23.54	26.30	28.85	29.63	32.00	34.27	36.46	39.25	41.31 
%  17 	20.49	21.61	22.98	24.77	27.59	30.19	31.00	33.41	35.72	37.95	40.79	42.88 
%  18 	21.60	22.76	24.16	25.99	28.87	31.53	32.35	34.81	37.16	39.42	42.31	44.43 
%  19 	22.72	23.90	25.33	27.20	30.14	32.85	33.69	36.19	38.58	40.88	43.82	45.97 
%  20 	23.83	25.04	26.50	28.41	31.41	34.17	35.02	37.57	40.00	42.34	45.31	47.50 
%  21 	24.93	26.17	27.66	29.62	39.67	35.48	36.34	38.93	41.40	43.78	46.80	49.01 
%  22 	26.04	27.30	28.82	30.81	33.92	36.78	37.66	40.29	42.80	45.20	48.27	50.51 
%  23 	27.14	28.43	29.98	32.01	35.17	38.08	38.97	41.64	44.18	46.62	49.73	52.00 
%  24 	28.24	29.55	31.13	33.20	36.42	39.36	40.27	42.98	45.56	48.03	51.18	53.48 
%  25 	29.34	30.68	32.28	34.38	37.65	40.65	41.57	44.31	46.93	49.44	52.62	54.95 
%  26 	30.43	31.79	33.43	35.56	38.89	41.92	42.86	45.64	48.29	50.83	54.05	56.41 
%  27 	31.53	32.91	34.57	36.74	40.11	43.19	44.14	46.96	49.64	52.22	55.48	57.86 
%  28 	32.62	34.03	35.71	37.92	41.34	44.46	45.42	48.28	50.99	53.59	56.89	59.30 
%  29 	33.71	35.14	36.85	39.09	42.56	45.72	46.69	49.59	52.34	54.97	58.30	60.73 
%  30 	34.80	36.25	37.99	40.26	43.77	46.98	47.96	50.89	53.67	56.33	59.70	62.16 
%  40 	45.62	47.27	49.24	51.81	55.76	59.34	60.44	63.69	66.77	69.70	73.40	76.09 
%  50 	56.33	53.16	60.35	63.17	67.50	71.42	72.61	76.15	79.49	82.66	86.66	89.56 
%  60 	66.98	68.97	71.34	74.40	79.08	83.30	84.58	88.38	91.95	95.34	99.61	102.7 
%  80 	88.13	90.41	93.11	96.58	101.9	106.6	108.1	112.3	116.3	120.1	124.8	128.3 
%  100 	109.1	111.7	114.7	118.5	124.3	129.6	131.1	135.8	140.2	144.3	149.4	153.2
%  df	0.25	0.20	0.15	0.10	0.05	0.025	0.02 	0.01	0.005	0.0025	0.001	0.0005 
%

if nargin<2, error('not enought arguments'); end
if P>0.25,   error('first argument too big'); end
if P<0.0005, error('first argument too low'); end
if df>100,   error('second argument too big'); end
if df<1,     error('second argument too low'); end

possible_P = [0.25,0.20,0.15,0.10,0.05,0.025,0.02 ,0.01,0.005,0.0025,0.001,0.0005];
possible_df = [1:30, 40 50 60 80 100];

if ~ismember(P,possible_P),
  res = sort([possible_P P]); res=res(end:-1:1);
  [tmp indxP]=find(res==P);
  indxP1 = indxP-1; indxP2=indxP;
  P2=[possible_P(indxP1), possible_P(indxP2)];
  force_P = normalise(abs(P2-P));
else
  P2=[P P]; force_P=[1,0];[tmp,indxP1]=find(possible_P==P);indxP2=indxP1+1;
end
if ~ismember(df,possible_df),
  res = sort([possible_df df]);
  [tmp indxdf]=find(res==df);
  indxdf1 = indxdf-1; indxdf2=indxdf;
  df2=[possible_df(indxdf1), possible_df(indxdf2)];
  force_df = normalise(abs(df2-df));
else
  df2=[df df]; force_df=[1,0];[tmp,indxdf1]=find(possible_df==df);indxdf2=indxdf1+1;
end

table = [[1.32,1.64,2.07,2.71,3.84,5.02,5.41,6.63 ,7.88,9.14,10.83,12.12];...
[2.77,3.22,3.79,4.61,5.99,7.38,7.82,9.21 ,10.60,11.98,13.82,15.20 ];...
[4.11,4.64,5.32,6.25,7.81,9.35,9.84,11.34 ,12.84,14.32,16.27,17.73 ];...
[5.39,5.59,6.74,7.78,9.49,11.14,11.67,13.23 ,14.86,16.42,18.47,20.00 ];...
[6.63,7.29,8.12,9.24,11.07,12.83,13.33,15.09 ,16.75,18.39,20.51,22.11 ];...
[7.84,8.56,9.45,10.64,12.53,14.45,15.03,16.81 ,13.55,20.25,22.46,24.10 ];...
[9.04,5.80,10.75,12.02,14.07,16.01,16.62 ,18.48,20.28,22.04,24.32,26.02 ];...
[10.22,11.03,12.03,13.36,15.51,17.53,18.17 ,20.09,21.95,23.77,26.12,27.87 ];...
[11.39,12.24,13.29,14.68,16.92,19.02,19.63 ,21.67,23.59,25.46,27.83,29.67 ];...
[12.55,13.44,14.53,15.99,18.31,20.48,21.16 ,23.21,25.19,27.11,29.59,31.42 ];...
[13.70,14.63,15.77,17.29,19.68,21.92,22.62,24.72,26.76,28.73,31.26,33.14 ];...
[14.85,15.81,16.99,18.55,21.03,23.34,24.05,26.22,28.30,30.32,32.91,34.82 ];...
[15.93,15.58,18.90,19.81,22.36,24.74,25.47,27.69,29.82,31.88,34.53,36.48 ];...
[17.12,18.15,19.4,21.06,23.68,26.12,26.87,29.14,31.32,33.43,36.12,38.11 ];...
[18.25,19.31,20.60,22.31,25.00,27.49,28.26,30.58,32.80,34.95,37.70,39.72 ];...
[19.37,20.47,21.79,23.54,26.30,28.85,29.63,32.00,34.27,36.46,39.25,41.31 ];...
[20.49,21.61,22.98,24.77,27.59,30.19,31.00,33.41,35.72,37.95,40.79,42.88 ];...
[21.60,22.76,24.16,25.99,28.87,31.53,32.35,34.81,37.16,39.42,42.31,44.43 ];...
[22.72,23.90,25.33,27.20,30.14,32.85,33.69,36.19,38.58,40.88,43.82,45.97 ];...
[23.83,25.04,26.50,28.41,31.41,34.17,35.02,37.57,40.00,42.34,45.31,47.50 ];...
[24.93,26.17,27.66,29.62,39.67,35.48,36.34,38.93,41.40,43.78,46.80,49.01 ];...
[26.04,27.30,28.82,30.81,33.92,36.78,37.66,40.29,42.80,45.20,48.27,50.51 ];...
[27.14,28.43,29.98,32.01,35.17,38.08,38.97,41.64,44.18,46.62,49.73,52.00 ];...
[28.24,29.55,31.13,33.20,36.42,39.36,40.27,42.98,45.56,48.03,51.18,53.48 ];...
[29.34,30.68,32.28,34.38,37.65,40.65,41.57,44.31,46.93,49.44,52.62,54.95 ];...
[30.43,31.79,33.43,35.56,38.89,41.92,42.86,45.64,48.29,50.83,54.05,56.41 ];...
[31.53,32.91,34.57,36.74,40.11,43.19,44.14,46.96,49.64,52.22,55.48,57.86 ];...
[32.62,34.03,35.71,37.92,41.34,44.46,45.42,48.28,50.99,53.59,56.89,59.30 ];...
[33.71,35.14,36.85,39.09,42.56,45.72,46.69,49.59,52.34,54.97,58.30,60.73 ];...
[34.80,36.25,37.99,40.26,43.77,46.98,47.96,50.89,53.67,56.33,59.70,62.16 ];...
[45.62,47.27,49.24,51.81,55.76,59.34,60.44,63.69,66.77,69.70,73.40,76.09 ];...
[56.33,53.16,60.35,63.17,67.50,71.42,72.61,76.15,79.49,82.66,86.66,89.56 ];...
[66.98,68.97,71.34,74.40,79.08,83.30,84.58,88.38,91.95,95.34,99.61,102.7 ];...
[88.13,90.41,93.11,96.58,101.9,106.6,108.1,112.3,116.3,120.1,124.8,128.3 ];...
[109.1,111.7,114.7,118.5,124.3,129.6,131.1,135.8,140.2,144.3,149.4,153.2]];

values = table(indxdf1:indxdf2,indxP1:indxP2);
value1 = values(1,:)*force_P';
value2 = values(2,:)*force_P';
value3 = values(:,1)'*force_df';
value4 = values(:,2)'*force_df';
value5 = [value1 value2]*force_df';
value6 = [value3 value4]*force_P';
value = mean([value5, value6]);