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Finance and the credit

Institute of economy and management

ПРОВЕРКА ГИПОТЕЗЫ О СВЯЗИ НА ОСНОВЕ КРИТЕРИЯ X2 (ХИ-КВАДРАТ)

Одним из основных направлений использование критерия Пирсона X2 (хи-квадрат) при анализе таблиц сопряженности двух переменных, является установления факта наличия

уровня значимости (взаимосвязи). Как правило, критерий X2 применяется для анализа таблиц сопряженности номинальных признаков, однако он может быть использован и при анализе взаимосвязи порядковых или интервальных (количественных) переменных, несмотря на то,

что для последних случаев существуют более мощные тесты.

(приложение 1 – стр.2 – стр.21).

Критерий Пирсона (хи - квадрат) при уровне значимости

( 0,01; 0,05; 0,1; 0,15; 0,20; 0,25; 0,30)

							Таблица 1
n	Р - 0,01	Р - 0,05	Р - 0,1	Р - 0,15	Р - 0,2	Р - 0,25	Р - 0,3
1	6,6349	3,8415	2,7055	2,0723	1,6424	1,3233	1,0742
2	9,2103	5,9915	4,6052	3,7942	3,2189	2,7726	2,4079
3	11,3449	7,8147	6,2514	5,3170	4,6416	4,1083	3,6649
4	13,2767	9,4877	7,7794	6,7449	5,9886	5,3853	4,8784
5	15,0863	11,0705	9,2364	8,1152	7,2893	6,6257	6,0644
6	16,8119	12,5916	10,6446	9,4461	8,5581	7,8408	7,2311
7	18,4753	14,0671	12,0170	10,7479	9,8032	9,0371	8,3834
8	20,0902	15,5073	13,3616	12,0271	11,0301	10,2189	9,5245
9	21,6660	16,9190	14,6837	13,2880	12,2421	11,3888	10,6564
10	23,2092	18,3070	15,9872	14,5339	13,4420	12,5489	11,7807
11	24,7249	19,6751	17,2750	15,7671	14,6314	13,7007	12,8987
12	26,2169	21,0260	18,5493	16,9893	15,8120	14,8454	14,0111
13	27,6882	22,3620	19,8119	18,2020	16,9848	15,9839	15,1187
14	29,1412	23,6848	21,0641	19,4062	18,1508	17,1169	16,2221
15	30,5779	24,9958	22,3071	20,6030	19,3107	18,2451	17,3217
16	31,9999	26,2962	23,5418	21,7930	20,4651	19,3689	18,4179
17	33,4087	27,5871	24,7690	22,9770	21,6146	20,4887	19,5110
18	34,8053	28,8693	25,9894	24,1555	22,7595	21,6049	20,6014
19	36,1909	30,1435	27,2036	25,3288	23,9004	22,7178	21,6891
20	37,5662	31,4104	28,4120	26,4976	25,0375	23,8277	22,7745
21	38,9322	32,6706	29,6151	27,6620	26,1711	24,9348	23,8578
22	40,2894	33,9244	30,8133	28,8224	27,3014	26,0393	24,9390
23	41,6384	35,1725	32,0069	29,9792	28,4288	27,1413	26,0184
24	42,9798	36,4150	33,1962	31,1325	29,5533	28,2411	27,0960
25	44,3141	37,6525	34,3816	32,2825	30,6752	29,3388	28,1719
26	45,6417	38,8851	35,5632	33,4295	31,7946	30,4346	29,2463
27	46,9629	40,1133	36,7412	34,5736	32,9117	31,5284	30,3193
28	48,2782	41,3371	37,9159	35,7150	34,0266	32,6205	31,3909
29	49,5879	42,5570	39,0875	36,8538	35,1394	33,7109	32,4612
30	50,8922	43,7730	40,2560	37,9902	36,2502	34,7997	33,5302
31	52,1914	44,9853	41,4217	39,1244	37,3591	35,8871	34,5981
32	53,4858	46,1943	42,5847	40,2563	38,4663	36,9730	35,6649
33	54,7755	47,3999	43,7452	41,3861	39,5718	38,0575	36,7307
34	56,0609	48,6024	44,9032	42,5140	40,6756	39,1408	37,7954
35	57,3421	49,8018	46,0588	43,6399	41,7780	40,2228	38,8591
36	58,6192	50,9985	47,2122	44,7641	42,8788	41,3036	39,9220
37	59,8925	52,1923	48,3634	45,8865	43,9782	42,3833	40,9839
38	61,1621	53,3835	49,5126	47,0072	45,0763	43,4619	42,0450
39	62,4281	54,5722	50,6598	48,1263	46,1730	44,5395	43,1053
40	63,6907	55,7585	51,8051	49,2438	47,2685	45,6160	44,1649
41	64,9501	56,9424	52,9485	50,3599	48,3628	46,6916	45,2236
42	66,2062	58,1240	54,0902	51,4746	49,4560	47,7662	46,2817
43	67,4593	59,3035	55,2302	52,5879	50,5480	48,8400	47,3390
44	68,7095	60,4809	56,3685	53,6998	51,6389	49,9129	48,3957
45	69,9568	61,6562	57,5053	54,8105	52,7288	50,9849	49,4517
46	71,2014	62,8296	58,6405	55,9199	53,8177	52,0562	50,5071
47	72,4433	64,0011	59,7743	57,0281	54,9056	53,1267	51,5619
48	73,6826	65,1708	60,9066	58,1352	55,9926	54,1964	52,6161
49	74,9195	66,3386	62,0375	59,2411	57,0786	55,2653	53,6697
50	76,1539	67,5048	63,1671	60,3460	58,1638	56,3336	54,7228

Критерий Пирсона (хи - квадрат) при уровне значимости

( 0,01; 0,05; 0,1; 0,15; 0,20; 0,25; 0,30)

							Таблица 2
n	Р - 0,01	Р - 0,05	Р - 0,1	Р - 0,15	Р - 0,2	Р - 0,25	Р - 0,3
51	77,3860	68,6693	64,2954	61,4498	59,2481	57,4012	55,7753
52	78,6158	69,8322	65,4224	62,5526	60,3316	58,4681	56,8274
53	79,8433	70,9935	66,5482	63,6543	61,4142	59,5343	57,8789
54	81,0688	72,1532	67,6728	64,7551	62,4961	60,6000	58,9299
55	82,2921	73,3115	68,7962	65,8550	63,5772	61,6650	59,9805
56	83,5134	74,4683	69,9185	66,9540	64,6576	62,7294	61,0305
57	84,7328	75,6237	71,0397	68,0520	65,7373	63,7933	62,0802
58	85,9502	76,7778	72,1598	69,1492	66,8162	64,8565	63,1294
59	87,1657	77,9305	73,2789	70,2456	67,8945	65,9193	64,1782
60	88,3794	79,0819	74,3970	71,3411	68,9721	66,9815	65,2265
61	89,5913	80,2321	75,5141	72,4358	70,0490	68,0431	66,2745
62	90,8015	81,3810	76,6302	73,5298	71,1253	69,1043	67,3220
63	92,0100	82,5287	77,7454	74,6230	72,2010	70,1650	68,3692
64	93,2169	83,6753	78,8596	75,7154	73,2761	71,2251	69,4160
65	94,4221	84,8206	79,9730	76,8071	74,3506	72,2848	70,4624
66	95,6257	85,9649	81,0855	77,8981	75,4245	73,3441	71,5085
67	96,8278	87,1081	82,1971	78,9884	76,4978	74,4029	72,5542
68	98,0284	88,2502	83,3079	80,0781	77,5707	75,4612	73,5995
69	99,2275	89,3912	84,4179	81,1670	78,6429	76,5192	74,6446
70	100,4252	90,5312	85,5270	82,2554	79,7146	77,5767	75,6893
71	101,6214	91,6702	86,6354	83,3430	80,7859	78,6337	76,7337
72	102,8163	92,8083	87,7430	84,4301	81,8566	79,6904	77,7777
73	104,0098	93,9453	88,8499	85,5166	82,9268	80,7467	78,8215
74	105,2020	95,0815	89,9560	86,6024	83,9965	81,8026	79,8650
75	106,3929	96,2167	91,0615	87,6877	85,0658	82,8581	80,9081
76	107,5825	97,3510	92,1662	88,7724	86,1346	83,9133	81,9510
77	108,7709	98,4844	93,2702	89,8566	87,2030	84,9680	82,9936
78	109,9581	99,6169	94,3735	90,9402	88,2709	86,0225	84,0359
79	111,1440	100,7486	95,4762	92,0232	89,3383	87,0765	85,0779
80	112,3288	101,8795	96,5782	93,1058	90,4053	88,1303	86,1197
81	113,5124	103,0095	97,6796	94,1878	91,4720	89,1836	87,1612
82	114,6949	104,1387	98,7803	95,2693	92,5382	90,2367	88,2025
83	115,8763	105,2672	99,8805	96,3503	93,6039	91,2894	89,2435
84	117,0565	106,3948	100,9800	97,4308	94,6693	92,3418	90,2842
85	118,2357	107,5217	102,0789	98,5108	95,7343	93,3939	91,3247
86	119,4139	108,6479	103,1773	99,5904	96,7990	94,4457	92,3650
87	120,5910	109,7733	104,2750	100,6695	97,8632	95,4972	93,4050
88	121,7671	110,8980	105,3722	101,7481	98,9271	96,5484	94,4448
89	122,9422	112,0220	106,4689	102,8263	99,9906	97,5993	95,4844
90	124,1163	113,1453	107,5650	103,9041	101,0537	98,6499	96,5238
91	125,2895	114,2679	108,6606	104,9814	102,1165	99,7003	97,5629
92	126,4617	115,3898	109,7556	106,0583	103,1790	100,7503	98,6018
93	127,6329	116,5110	110,8502	107,1347	104,2411	101,8001	99,6405
94	128,8032	117,6317	111,9442	108,2108	105,3028	102,8496	100,6790
95	129,9727	118,7516	113,0377	109,2864	106,3643	103,8988	101,7173
96	131,1412	119,8709	114,1307	110,3617	107,4254	104,9478	102,7554
97	132,3089	120,9896	115,2232	111,4365	108,4862	105,9966	103,7933
98	133,4757	122,1077	116,3153	112,5110	109,5467	107,0450	104,8310
99	134,6416	123,2252	117,4069	113,5851	110,6068	108,0933	105,8685
100	135,8067	124,3421	118,4980	114,6588	111,6667	109,1412	106,9058

Критерий Пирсона (хи - квадрат) при уровне значимости

( 0,01; 0,05; 0,1; 0,15; 0,20; 0,25; 0,30)

							Таблица 3
n	Р - 0,01	Р - 0,05	Р - 0,1	Р - 0,15	Р - 0,2	Р - 0,25	Р - 0,3
101	136,9710	125,4584	119,5887	115,7322	112,7263	110,1890	107,9429
102	138,1345	126,5741	120,6789	116,8051	113,7855	111,2365	108,9798
103	139,2971	127,6893	121,7686	117,8778	114,8445	112,2838	110,0166
104	140,4590	128,8039	122,8580	118,9500	115,9032	113,3308	111,0531
105	141,6201	129,9180	123,9469	120,0219	116,9616	114,3776	112,0895
106	142,7804	131,0315	125,0354	121,0935	118,0198	115,4242	113,1258
107	143,9400	132,1444	126,1234	122,1647	119,0776	116,4706	114,1618
108	145,0988	133,2569	127,2111	123,2356	120,1352	117,5167	115,1977
109	146,2569	134,3688	128,2983	124,3062	121,1925	118,5627	116,2334
110	147,4143	135,4802	129,3851	125,3765	122,2495	119,6084	117,2690
111	148,5710	136,5911	130,4716	126,4464	123,3063	120,6539	118,3044
112	149,7269	137,7015	131,5576	127,5160	124,3629	121,6992	119,3396
113	150,8822	138,8114	132,6433	128,5853	125,4191	122,7443	120,3747
114	152,0367	139,9208	133,7286	129,6543	126,4752	123,7892	121,4096
115	153,1906	141,0297	134,8135	130,7230	127,5310	124,8339	122,4443
116	154,3438	142,1382	135,8980	131,7913	128,5865	125,8784	123,4789
117	155,4964	143,2461	136,9822	132,8594	129,6418	126,9228	124,5134
118	156,6483	144,3537	138,0660	133,9272	130,6969	127,9669	125,5477
119	157,7995	145,4607	139,1495	134,9947	131,7517	129,0108	126,5819
120	158,9502	146,5674	140,2326	136,0620	132,8063	130,0546	127,6159
121	160,1002	147,6735	141,3153	137,1289	133,8607	131,0982	128,6498
122	161,2495	148,7793	142,3977	138,1956	134,9148	132,1416	129,6835
123	162,3983	149,8846	143,4798	139,2620	135,9687	133,1848	130,7171
124	163,5465	150,9894	144,5616	140,3281	137,0224	134,2278	131,7506
125	164,6940	152,0939	145,6430	141,3939	138,0759	135,2707	132,7839
126	165,8410	153,1979	146,7241	142,4595	139,1292	136,3134	133,8171
127	166,9874	154,3015	147,8048	143,5249	140,1822	137,3559	134,8502
128	168,1332	155,4047	148,8853	144,5899	141,2351	138,3983	135,8831
129	169,2784	156,5075	149,9654	145,6547	142,2877	139,4404	136,9159
130	170,4231	157,6099	151,0452	146,7193	143,3401	140,4825	137,9486
131	171,5672	158,7119	152,1247	147,7836	144,3924	141,5243	138,9811
132	172,7108	159,8135	153,2039	148,8477	145,4444	142,5660	140,0135
133	173,8539	160,9148	154,2828	149,9115	146,4962	143,6076	141,0459
134	174,9963	162,0156	155,3614	150,9751	147,5479	144,6490	142,0780
135	176,1383	163,1161	156,4397	152,0384	148,5993	145,6902	143,1101
136	177,2797	164,2162	157,5178	153,1016	149,6506	146,7313	144,1420
137	178,4207	165,3159	158,5955	154,1644	150,7016	147,7722	145,1738
138	179,5611	166,4153	159,6729	155,2271	151,7525	148,8130	146,2056
139	180,7009	167,5143	160,7501	156,2895	152,8032	149,8536	147,2371
140	181,8403	168,6130	161,8270	157,3517	153,8537	150,8941	148,2686
141	182,9792	169,7112	162,9036	158,4137	154,9041	151,9344	149,3000
142	184,1176	170,8092	163,9799	159,4754	155,9542	152,9746	150,3312
143	185,2555	171,9068	165,0560	160,5370	157,0042	154,0147	151,3624
144	186,3930	173,0041	166,1318	161,5983	158,0540	155,0546	152,3934
145	187,5299	174,1010	167,2074	162,6594	159,1036	156,0944	153,4243
146	188,6664	175,1976	168,2826	163,7203	160,1531	157,1340	154,4551
147	189,8024	176,2938	169,3577	164,7810	161,2023	158,1735	155,4859
148	190,9380	177,3897	170,4324	165,8414	162,2515	159,2129	156,5165
149	192,0730	178,4854	171,5069	166,9017	163,3004	160,2521	157,5470
150	193,2077	179,5806	172,5812	167,9618	164,3492	161,2912	158,5774

Критерий Пирсона (хи - квадрат) при уровне значимости

( 0,01; 0,05; 0,1; 0,15; 0,20; 0,25; 0,30)

							Таблица 4
n	Р - 0,01	Р - 0,05	Р - 0,1	Р - 0,15	Р - 0,2	Р - 0,25	Р - 0,3
151	194,3419	180,6756	173,6552	169,0216	165,3978	162,3302	159,6077
152	195,4756	181,7702	174,7290	170,0813	166,4463	163,3690	160,6379
153	196,6089	182,8646	175,8025	171,1408	167,4946	164,4077	161,6680
154	197,7418	183,9586	176,8758	172,2001	168,5427	165,4463	162,6980
155	198,8742	185,0523	177,9488	173,2591	169,5907	166,4848	163,7279
156	200,0062	186,1457	179,0217	174,3180	170,6385	167,5231	164,7577
157	201,1378	187,2389	180,0942	175,3767	171,6862	168,5613	165,7874
158	202,2690	188,3317	181,1666	176,4353	172,7337	169,5994	166,8170
159	203,3998	189,4242	182,2387	177,4936	173,7811	170,6374	167,8465
160	204,5301	190,5165	183,3106	178,5517	174,8283	171,6752	168,8759
161	205,6600	191,6084	184,3822	179,6097	175,8754	172,7129	169,9053
162	206,7896	192,7001	185,4537	180,6675	176,9223	173,7505	170,9345
163	207,9187	193,7914	186,5249	181,7251	177,9691	174,7880	171,9637
164	209,0474	194,8825	187,5959	182,7825	179,0157	175,8254	172,9927
165	210,1758	195,9734	188,6667	183,8398	180,0622	176,8627	174,0217
166	211,3037	197,0639	189,7373	184,8969	181,1086	177,8998	175,0506
167	212,4313	198,1542	190,8076	185,9538	182,1548	178,9369	176,0794
168	213,5585	199,2442	191,8778	187,0105	183,2009	179,9738	177,1081
169	214,6853	200,3339	192,9477	188,0671	184,2468	181,0106	178,1367
170	215,8117	201,4234	194,0174	189,1235	185,2926	182,0473	179,1653
171	216,9378	202,5126	195,0869	190,1797	186,3383	183,0839	180,1937
172	218,0635	203,6015	196,1563	191,2358	187,3838	184,1204	181,2221
173	219,1888	204,6902	197,2254	192,2917	188,4292	185,1568	182,2504
174	220,3138	205,7786	198,2943	193,3474	189,4745	186,1931	183,2786
175	221,4384	206,8668	199,3630	194,4030	190,5196	187,2293	184,3067
176	222,5626	207,9547	200,4315	195,4584	191,5647	188,2654	185,3348
177	223,6865	209,0424	201,4999	196,5137	192,6095	189,3013	186,3628
178	224,8101	210,1298	202,5680	197,5688	193,6543	190,3372	187,3906
179	225,9333	211,2170	203,6359	198,6238	194,6989	191,3730	188,4184
180	227,0561	212,3039	204,7037	199,6786	195,7434	192,4086	189,4462
181	228,1786	213,3906	205,7712	200,7332	196,7878	193,4442	190,4738
182	229,3008	214,4771	206,8386	201,7877	197,8321	194,4797	191,5014
183	230,4227	215,5633	207,9058	202,8421	198,8762	195,5151	192,5289
184	231,5442	216,6492	208,9728	203,8963	199,9202	196,5503	193,5563
185	232,6653	217,7350	210,0396	204,9503	200,9641	197,5855	194,5837
186	233,7862	218,8205	211,1063	206,0042	202,0079	198,6206	195,6110
187	234,9067	219,9058	212,1727	207,0580	203,0515	199,6556	196,6382
188	236,0269	220,9908	213,2390	208,1116	204,0951	200,6905	197,6653
189	237,1468	222,0756	214,3051	209,1651	205,1385	201,7253	198,6924
190	238,2664	223,1602	215,3711	210,2184	206,1818	202,7600	199,7194
191	239,3856	224,2446	216,4368	211,2716	207,2250	203,7946	200,7463
192	240,5046	225,3288	217,5024	212,3246	208,2681	204,8291	201,7731
193	241,6232	226,4127	218,5678	213,3775	209,3111	205,8636	202,7999
194	242,7415	227,4964	219,6331	214,4303	210,3539	206,8979	203,8266
195	243,8595	228,5799	220,6981	215,4829	211,3967	207,9322	204,8532
196	244,9772	229,6632	221,7631	216,5354	212,4393	208,9664	205,8798
197	246,0947	230,7463	222,8278	217,5878	213,4818	210,0004	206,9063
198	247,2118	231,8292	223,8924	218,6401	214,5243	211,0344	207,9327
199	248,3286	232,9118	224,9568	219,6922	215,5666	212,0684	208,9591
200	249,4451	233,9943	226,0210	220,7441	216,6088	213,1022	209,9854

Критерий Пирсона (хи - квадрат) при уровне значимости

( 0,01; 0,05; 0,1; 0,15; 0,20; 0,25; 0,30)

							Таблица 5
n	Р - 0,01	Р - 0,05	Р - 0,1	Р - 0,15	Р - 0,2	Р - 0,25	Р - 0,3
201	250,5614	235,0765	227,0851	221,7960	217,6509	214,1359	211,0116
202	251,6773	236,1585	228,1491	222,8477	218,6929	215,1696	212,0378
203	252,7930	237,2404	229,2128	223,8993	219,7348	216,2032	213,0639
204	253,9083	238,3220	230,2765	224,9507	220,7766	217,2367	214,0900
205	255,0234	239,4034	231,3399	226,0021	221,8182	218,2701	215,1159
206	256,1382	240,4847	232,4032	227,0533	222,8598	219,3034	216,1419
207	257,2528	241,5657	233,4664	228,1043	223,9013	220,3366	217,1677
208	258,3670	242,6465	234,5294	229,1553	224,9427	221,3698	218,1935
209	259,4810	243,7272	235,5922	230,2061	225,9840	222,4029	219,2192
210	260,5947	244,8076	236,6549	231,2568	227,0252	223,4359	220,2449
211	261,7082	245,8879	237,7175	232,3074	228,0662	224,4688	221,2705
212	262,8213	246,9680	238,7799	233,3579	229,1072	225,5017	222,2960
213	263,9342	248,0478	239,8421	234,4083	230,1481	226,5344	223,3215
214	265,0469	249,1275	240,9042	235,4585	231,1889	227,5671	224,3469
215	266,1592	250,2070	241,9662	236,5086	232,2296	228,5998	225,3723
216	267,2714	251,2864	243,0280	237,5586	233,2702	229,6323	226,3976
217	268,3832	252,3655	244,0897	238,6085	234,3107	230,6648	227,4228
218	269,4948	253,4444	245,1512	239,6583	235,3511	231,6972	228,4480
219	270,6061	254,5232	246,2126	240,7079	236,3915	232,7295	229,4731
220	271,7172	255,6018	247,2739	241,7574	237,4317	233,7617	230,4982
221	272,8281	256,6802	248,3350	242,8069	238,4718	234,7939	231,5232
222	273,9386	257,7585	249,3959	243,8562	239,5119	235,8260	232,5482
223	275,0490	258,8365	250,4568	244,9054	240,5518	236,8580	233,5731
224	276,1591	259,9144	251,5175	245,9545	241,5917	237,8900	234,5979
225	277,2689	260,9921	252,5780	247,0035	242,6315	238,9218	235,6227
226	278,3785	262,0697	253,6384	248,0523	243,6712	239,9537	236,6474
227	279,4879	263,1470	254,6987	249,1011	244,7108	240,9854	237,6721
228	280,5970	264,2242	255,7589	250,1498	245,7503	242,0171	238,6967
229	281,7058	265,3012	256,8189	251,1983	246,7897	243,0487	239,7213
230	282,8145	266,3781	257,8788	252,2468	247,8291	244,0802	240,7458
231	283,9229	267,4548	258,9386	253,2951	248,8683	245,1117	241,7703
232	285,0310	268,5313	259,9982	254,3433	249,9075	246,1431	242,7947
233	286,1390	269,6077	261,0577	255,3915	250,9466	247,1744	243,8190
234	287,2467	270,6839	262,1171	256,4395	251,9856	248,2056	244,8434
235	288,3541	271,7599	263,1764	257,4874	253,0245	249,2368	245,8676
236	289,4614	272,8358	264,2355	258,5352	254,0634	250,2680	246,8918
237	290,5684	273,9115	265,2945	259,5830	255,1021	251,2990	247,9160
238	291,6752	274,9870	266,3534	260,6306	256,1408	252,3300	248,9401
239	292,7818	276,0624	267,4121	261,6781	257,1794	253,3609	249,9641
240	293,8881	277,1376	268,4707	262,7255	258,2179	254,3918	250,9881
241	294,9942	278,2127	269,5292	263,7729	259,2563	255,4226	252,0120
242	296,1001	279,2876	270,5876	264,8201	260,2947	256,4533	253,0359
243	297,2058	280,3624	271,6459	265,8672	261,3329	257,4840	254,0598
244	298,3113	281,4370	272,7040	266,9142	262,3711	258,5146	255,0836
245	299,4165	282,5115	273,7621	267,9612	263,4092	259,5452	256,1073
246	300,5215	283,5858	274,8200	269,0080	264,4473	260,5757	257,1310
247	301,6264	284,6599	275,8778	270,0547	265,4852	261,6061	258,1547
248	302,7310	285,7339	276,9354	271,1014	266,5231	262,6364	259,1783
249	303,8354	286,8078	277,9930	272,1479	267,5609	263,6667	260,2018
250	304,9396	287,8815	279,0504	273,1944	268,5986	264,6970	261,2254

Критерий Пирсона (хи - квадрат) при уровне значимости

( 0,01; 0,05; 0,1; 0,15; 0,20; 0,25; 0,30)

							Таблица 6
n	Р - 0,01	Р - 0,05	Р - 0,1	Р - 0,15	Р - 0,2	Р - 0,25	Р - 0,3
251	306,0435	288,9551	280,1077	274,2408	269,6363	265,7271	262,2488
252	307,1473	290,0285	281,1650	275,2870	270,6739	266,7573	263,2722
253	308,2509	291,1017	282,2221	276,3332	271,7114	267,7873	264,2956
254	309,3542	292,1749	283,2790	277,3793	272,7488	268,8173	265,3189
255	310,4574	293,2478	284,3359	278,4253	273,7862	269,8473	266,3422
256	311,5603	294,3207	285,3927	279,4712	274,8234	270,8771	267,3654
257	312,6631	295,3934	286,4493	280,5170	275,8606	271,9070	268,3886
258	313,7656	296,4659	287,5059	281,5628	276,8978	272,9367	269,4118
259	314,8680	297,5383	288,5623	282,6084	277,9348	273,9664	270,4349
260	315,9702	298,6106	289,6186	283,6539	278,9718	274,9961	271,4579
261	317,0721	299,6827	290,6748	284,6994	280,0088	276,0257	272,4809
262	318,1739	300,7547	291,7309	285,7448	281,0456	277,0552	273,5039
263	319,2755	301,8266	292,7869	286,7901	282,0824	278,0847	274,5268
264	320,3768	302,8983	293,8428	287,8353	283,1191	279,1141	275,5497
265	321,4780	303,9699	294,8986	288,8804	284,1557	280,1435	276,5725
266	322,5790	305,0413	295,9543	289,9254	285,1923	281,1728	277,5953
267	323,6798	306,1126	297,0098	290,9704	286,2288	282,2020	278,6180
268	324,7804	307,1838	298,0653	292,0152	287,2652	283,2312	279,6407
269	325,8809	308,2548	299,1207	293,0600	288,3016	284,2604	280,6634
270	326,9811	309,3258	300,1759	294,1047	289,3379	285,2895	281,6860
271	328,0812	310,3965	301,2311	295,1493	290,3741	286,3185	282,7086
272	329,1810	311,4672	302,2861	296,1939	291,4103	287,3475	283,7311
273	330,2807	312,5377	303,3411	297,2383	292,4464	288,3764	284,7536
274	331,3802	313,6081	304,3959	298,2827	293,4824	289,4053	285,7761
275	332,4796	314,6784	305,4507	299,3270	294,5184	290,4341	286,7985
276	333,5787	315,7485	306,5054	300,3712	295,5543	291,4629	287,8209
277	334,6777	316,8185	307,5599	301,4153	296,5901	292,4916	288,8432
278	335,7765	317,8884	308,6144	302,4593	297,6259	293,5203	289,8655
279	336,8751	318,9581	309,6687	303,5033	298,6616	294,5489	290,8877
280	337,9735	320,0278	310,7230	304,5472	299,6972	295,5774	291,9099
281	339,0718	321,0973	311,7772	305,5910	300,7328	296,6060	292,9321
282	340,1698	322,1667	312,8312	306,6347	301,7683	297,6344	293,9542
283	341,2677	323,2359	313,8852	307,6784	302,8038	298,6628	294,9763
284	342,3655	324,3051	314,9391	308,7220	303,8392	299,6912	295,9984
285	343,4630	325,3741	315,9929	309,7655	304,8745	300,7195	297,0204
286	344,5604	326,4430	317,0465	310,8089	305,9098	301,7478	298,0423
287	345,6577	327,5117	318,1001	311,8522	306,9450	302,7760	299,0643
288	346,7547	328,5804	319,1536	312,8955	307,9801	303,8041	300,0862
289	347,8516	329,6489	320,2070	313,9387	309,0152	304,8323	301,1080
290	348,9483	330,7173	321,2604	314,9818	310,0502	305,8603	302,1299
291	350,0449	331,7856	322,3136	316,0249	311,0852	306,8883	303,1516
292	351,1412	332,8538	323,3667	317,0678	312,1201	307,9163	304,1734
293	352,2375	333,9219	324,4198	318,1107	313,1549	308,9442	305,1951
294	353,3335	334,9898	325,4727	319,1536	314,1897	309,9721	306,2168
295	354,4294	336,0577	326,5256	320,1963	315,2244	310,9999	307,2384
296	355,5251	337,1254	327,5783	321,2390	316,2591	312,0277	308,2600
297	356,6207	338,1930	328,6310	322,2816	317,2937	313,0554	309,2816
298	357,7161	339,2605	329,6836	323,3242	318,3282	314,0831	310,3031
299	358,8113	340,3278	330,7361	324,3666	319,3627	315,1108	311,3246
300	359,9064	341,3951	331,7885	325,4090	320,3971	316,1384	312,3460

Критерий Пирсона (хи - квадрат) при уровне значимости

( 0,01; 0,05; 0,1; 0,15; 0,20; 0,25; 0,30)

							Таблица 7
n	Р - 0,01	Р - 0,05	Р - 0,1	Р - 0,15	Р - 0,2	Р - 0,25	Р - 0,3
301	361,0014	342,4623	332,8408	326,4513	321,4315	317,1659	313,3674
302	362,0961	343,5293	333,8931	327,4936	322,4658	318,1934	314,3888
303	363,1907	344,5962	334,9452	328,5358	323,5000	319,2209	315,4102
304	364,2852	345,6630	335,9973	329,5779	324,5342	320,2483	316,4315
305	365,3795	346,7297	337,0493	330,6199	325,5684	321,2756	317,4528
306	366,4736	347,7963	338,1012	331,6619	326,6025	322,3029	318,4740
307	367,5676	348,8628	339,1530	332,7038	327,6365	323,3302	319,4952
308	368,6615	349,9292	340,2047	333,7456	328,6705	324,3574	320,5164
309	369,7552	350,9955	341,2564	334,7874	329,7044	325,3846	321,5375
310	370,8487	352,0616	342,3079	335,8291	330,7383	326,4118	322,5586
311	371,9421	353,1277	343,3594	336,8707	331,7721	327,4389	323,5797
312	373,0353	354,1937	344,4108	337,9123	332,8058	328,4659	324,6007
313	374,1284	355,2595	345,4621	338,9538	333,8395	329,4929	325,6217
314	375,2213	356,3252	346,5133	339,9953	334,8732	330,5199	326,6427
315	376,3141	357,3909	347,5645	341,0366	335,9068	331,5468	327,6636
316	377,4068	358,4564	348,6156	342,0779	336,9403	332,5737	328,6845
317	378,4993	359,5218	349,6665	343,1192	337,9738	333,6005	329,7054
318	379,5916	360,5872	350,7174	344,1603	339,0072	334,6273	330,7262
319	380,6838	361,6524	351,7683	345,2014	340,0406	335,6541	331,7470
320	381,7759	362,7175	352,8190	346,2425	341,0740	336,6808	332,7678
321	382,8678	363,7825	353,8697	347,2835	342,1072	337,7075	333,7885
322	383,9596	364,8474	354,9203	348,3244	343,1405	338,7341	334,8092
323	385,0512	365,9123	355,9708	349,3652	344,1736	339,7607	335,8299
324	386,1427	366,9770	357,0212	350,4060	345,2068	340,7872	336,8505
325	387,2340	368,0416	358,0716	351,4467	346,2398	341,8137	337,8711
326	388,3252	369,1061	359,1218	352,4874	347,2728	342,8402	338,8917
327	389,4163	370,1705	360,1720	353,5280	348,3058	343,8666	339,9123
328	390,5072	371,2348	361,2221	354,5685	349,3387	344,8930	340,9328
329	391,5980	372,2990	362,2722	355,6090	350,3716	345,9194	341,9533
330	392,6887	373,3632	363,3222	356,6494	351,4044	346,9457	342,9737
331	393,7792	374,4272	364,3720	357,6898	352,4372	347,9719	343,9941
332	394,8696	375,4911	365,4219	358,7301	353,4699	348,9981	345,0145
333	395,9598	376,5550	366,4716	359,7703	354,5026	350,0243	346,0349
334	397,0499	377,6187	367,5213	360,8105	355,5352	351,0505	347,0552
335	398,1399	378,6823	368,5709	361,8506	356,5678	352,0766	348,0755
336	399,2297	379,7459	369,6204	362,8906	357,6003	353,1026	349,0958
337	400,3194	380,8093	370,6698	363,9306	358,6328	354,1287	350,1160
338	401,4090	381,8727	371,7192	364,9706	359,6652	355,1547	351,1362
339	402,4984	382,9359	372,7685	366,0104	360,6976	356,1806	352,1564
340	403,5877	383,9991	373,8177	367,0502	361,7299	357,2065	353,1765
341	404,6769	385,0622	374,8669	368,0900	362,7622	358,2324	354,1966
342	405,7659	386,1252	375,9159	369,1297	363,7944	359,2582	355,2167
343	406,8548	387,1881	376,9650	370,1693	364,8266	360,2840	356,2368
344	407,9436	388,2509	378,0139	371,2089	365,8588	361,3098	357,2568
345	409,0323	389,3136	379,0628	372,2484	366,8909	362,3355	358,2768
346	410,1208	390,3762	380,1116	373,2879	367,9229	363,3612	359,2968
347	411,2092	391,4387	381,1603	374,3273	368,9549	364,3869	360,3167
348	412,2975	392,5012	382,2089	375,3667	369,9869	365,4125	361,3366
349	413,3856	393,5635	383,2575	376,4059	371,0188	366,4380	362,3565
350	414,4736	394,6258	384,3060	377,4452	372,0506	367,4636	363,3764

Критерий Пирсона (хи - квадрат) при уровне значимости

( 0,01; 0,05; 0,1; 0,15; 0,20; 0,25; 0,30)

							Таблица 8
n	Р - 0,01	Р - 0,05	Р - 0,1	Р - 0,15	Р - 0,2	Р - 0,25	Р - 0,3
351	415,5615	395,6879	385,3545	378,4844	373,0825	368,4891	364,3962
352	416,6493	396,7500	386,4029	379,5235	374,1142	369,5145	365,4160
353	417,7369	397,8120	387,4512	380,5626	375,1460	370,5400	366,4358
354	418,8245	398,8739	388,4994	381,6016	376,1777	371,5654	367,4555
355	419,9118	399,9357	389,5476	382,6405	377,2093	372,5907	368,4752
356	420,9991	400,9974	390,5957	383,6794	378,2409	373,6160	369,4949
357	422,0863	402,0591	391,6437	384,7183	379,2724	374,6413	370,5146
358	423,1733	403,1206	392,6917	385,7571	380,3039	375,6666	371,5342
359	424,2602	404,1821	393,7396	386,7958	381,3354	376,6918	372,5538
360	425,3470	405,2435	394,7874	387,8345	382,3668	377,7170	373,5734
361	426,4336	406,3048	395,8352	388,8732	383,3982	378,7421	374,5929
362	427,5202	407,3660	396,8829	389,9117	384,4295	379,7672	375,6125
363	428,6066	408,4271	397,9305	390,9503	385,4608	380,7923	376,6320
364	429,6929	409,4882	398,9781	391,9887	386,4921	381,8173	377,6514
365	430,7791	410,5491	400,0256	393,0272	387,5233	382,8423	378,6709
366	431,8652	411,6100	401,0730	394,0655	388,5544	383,8673	379,6903
367	432,9511	412,6708	402,1204	395,1038	389,5855	384,8922	380,7097
368	434,0369	413,7315	403,1677	396,1421	390,6166	385,9172	381,7290
369	435,1227	414,7922	404,2149	397,1803	391,6476	386,9420	382,7484
370	436,2083	415,8527	405,2621	398,2185	392,6786	387,9669	383,7677
371	437,2937	416,9132	406,3092	399,2566	393,7096	388,9917	384,7870
372	438,3791	417,9736	407,3563	400,2946	394,7405	390,0164	385,8062
373	439,4644	419,0339	408,4033	401,3326	395,7713	391,0412	386,8254
374	440,5495	420,0941	409,4502	402,3706	396,8022	392,0659	387,8447
375	441,6345	421,1542	410,4971	403,4085	397,8329	393,0905	388,8638
376	442,7195	422,2143	411,5439	404,4464	398,8637	394,1152	389,8830
377	443,8043	423,2743	412,5906	405,4842	399,8944	395,1398	390,9021
378	444,8889	424,3342	413,6373	406,5219	400,9250	396,1643	391,9212
379	445,9735	425,3940	414,6839	407,5596	401,9556	397,1889	392,9403
380	447,0580	426,4537	415,7305	408,5973	402,9862	398,2134	393,9594
381	448,1423	427,5134	416,7770	409,6349	404,0168	399,2379	394,9784
382	449,2266	428,5730	417,8234	410,6724	405,0473	400,2623	395,9974
383	450,3107	429,6325	418,8698	411,7099	406,0777	401,2867	397,0164
384	451,3947	430,6919	419,9161	412,7474	407,1081	402,3111	398,0353
385	452,4786	431,7513	420,9623	413,7848	408,1385	403,3354	399,0542
386	453,5624	432,8105	422,0085	414,8221	409,1688	404,3597	400,0731
387	454,6461	433,8697	423,0546	415,8595	410,1991	405,3840	401,0920
388	455,7297	434,9289	424,1007	416,8967	411,2294	406,4083	402,1109
389	456,8132	435,9879	425,1467	417,9339	412,2596	407,4325	403,1297
390	457,8966	437,0469	426,1927	418,9711	413,2898	408,4567	404,1485
391	458,9798	438,1058	427,2386	420,0082	414,3199	409,4808	405,1673
392	460,0630	439,1646	428,2844	421,0453	415,3500	410,5050	406,1861
393	461,1461	440,2233	429,3302	422,0823	416,3801	411,5291	407,2048
394	462,2290	441,2820	430,3759	423,1193	417,4101	412,5531	408,2235
395	463,3119	442,3406	431,4216	424,1562	418,4401	413,5772	409,2422
396	464,3946	443,3991	432,4672	425,1931	419,4701	414,6012	410,2608
397	465,4772	444,4576	433,5127	426,2299	420,5000	415,6251	411,2795
398	466,5597	445,5159	434,5582	427,2667	421,5299	416,6491	412,2981
399	467,6422	446,5742	435,6036	428,3035	422,5597	417,6730	413,3167
400	468,7245	447,6325	436,6490	429,3402	423,5895	418,6969	414,3353

Критерий Пирсона (хи - квадрат) при уровне значимости

( 0,01; 0,05; 0,1; 0,15; 0,20; 0,25; 0,30)

							Таблица 9
n	Р - 0,01	Р - 0,05	Р - 0,1	Р - 0,15	Р - 0,2	Р - 0,25	Р - 0,3
401	469,8067	448,6906	437,6943	430,3768	424,6193	419,7207	415,3538
402	470,8888	449,7487	438,7396	431,4134	425,6490	420,7446	416,3723
403	471,9708	450,8067	439,7848	432,4500	426,6787	421,7683	417,3908
404	473,0528	451,8646	440,8299	433,4865	427,7083	422,7921	418,4093
405	474,1346	452,9225	441,8750	434,5230	428,7380	423,8158	419,4278
406	475,2163	453,9803	442,9200	435,5594	429,7675	424,8396	420,4462
407	476,2979	455,0380	443,9650	436,5958	430,7971	425,8632	421,4646
408	477,3794	456,0957	445,0099	437,6321	431,8266	426,8869	422,4830
409	478,4608	457,1533	446,0548	438,6684	432,8560	427,9105	423,5013
410	479,5421	458,2108	447,0996	439,7046	433,8855	428,9341	424,5197
411	480,6233	459,2682	448,1444	440,7408	434,9149	429,9576	425,5380
412	481,7044	460,3256	449,1891	441,7770	435,9442	430,9812	426,5563
413	482,7855	461,3829	450,2337	442,8131	436,9736	432,0047	427,5746
414	483,8664	462,4401	451,2783	443,8492	438,0029	433,0282	428,5928
415	484,9472	463,4973	452,3229	444,8852	439,0321	434,0516	429,6111
416	486,0279	464,5544	453,3674	445,9212	440,0613	435,0750	430,6293
417	487,1085	465,6114	454,4118	446,9571	441,0905	436,0984	431,6474
418	488,1891	466,6683	455,4562	447,9930	442,1197	437,1218	432,6656
419	489,2695	467,7252	456,5005	449,0289	443,1488	438,1451	433,6838
420	490,3498	468,7820	457,5448	450,0647	444,1779	439,1684	434,7019
421	491,4301	469,8388	458,5890	451,1004	445,2069	440,1917	435,7200
422	492,5102	470,8955	459,6332	452,1362	446,2359	441,2149	436,7380
423	493,5902	471,9521	460,6773	453,1718	447,2649	442,2382	437,7561
424	494,6702	473,0087	461,7214	454,2075	448,2938	443,2614	438,7741
425	495,7501	474,0651	462,7654	455,2431	449,3227	444,2845	439,7922
426	496,8298	475,1216	463,8093	456,2786	450,3516	445,3077	440,8101
427	497,9095	476,1779	464,8532	457,3141	451,3805	446,3308	441,8281
428	498,9891	477,2342	465,8971	458,3496	452,4093	447,3539	442,8461
429	500,0686	478,2904	466,9409	459,3851	453,4380	448,3769	443,8640
430	501,1480	479,3466	467,9847	460,4204	454,4668	449,4000	444,8819
431	502,2273	480,4027	469,0284	461,4558	455,4955	450,4230	445,8998
432	503,3065	481,4587	470,0720	462,4911	456,5242	451,4459	446,9177
433	504,3856	482,5146	471,1156	463,5264	457,5528	452,4689	447,9355
434	505,4646	483,5705	472,1592	464,5616	458,5814	453,4918	448,9533
435	506,5435	484,6264	473,2027	465,5968	459,6100	454,5147	449,9711
436	507,6224	485,6821	474,2461	466,6319	460,6385	455,5376	450,9889
437	508,7011	486,7378	475,2895	467,6670	461,6670	456,5604	452,0067
438	509,7798	487,7935	476,3329	468,7021	462,6955	457,5833	453,0244
439	510,8584	488,8490	477,3762	469,7371	463,7239	458,6061	454,0421
440	511,9369	489,9045	478,4195	470,7721	464,7523	459,6288	455,0598
441	513,0153	490,9600	479,4627	471,8070	465,7807	460,6516	456,0775
442	514,0936	492,0154	480,5058	472,8419	466,8091	461,6743	457,0952
443	515,1718	493,0707	481,5489	473,8768	467,8374	462,6970	458,1128
444	516,2499	494,1260	482,5920	474,9116	468,8657	463,7196	459,1304
445	517,3280	495,1812	483,6350	475,9464	469,8939	464,7423	460,1481
446	518,4059	496,2363	484,6780	476,9812	470,9221	465,7649	461,1656
447	519,4838	497,2914	485,7209	478,0159	471,9503	466,7875	462,1832
448	520,5616	498,3464	486,7637	479,0505	472,9785	467,8100	463,2007
449	521,6392	499,4013	487,8066	480,0852	474,0066	468,8326	464,2183
450	522,7168	500,4562	488,8493	481,1198	475,0347	469,8551	465,2358

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