Π Π΅ΠΊΠΎΠΌΠ΅Π½Π΄ΡΠ΅ΠΌΠ°Ρ Π»ΠΈΡΠ΅ΡΠ°ΡΡΡΠ°.
ΠΠ΅ΡΠΎΠ΄Ρ ΠΏΡΠΎΠ³Π½ΠΎΠ·ΠΈΡΠΎΠ²Π°Π½ΠΈΡ ΡΠΎΡΠΈΠ°Π»ΡΠ½ΠΎ-ΡΠΊΠΎΠ½ΠΎΠΌΠΈΡΠ΅ΡΠΊΠΈΡ
ΠΏΡΠΎΡΠ΅ΡΡΠΎΠ²
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Π Π΅ΠΊΠΎΠΌΠ΅Π½Π΄ΡΠ΅ΠΌΠ°Ρ Π»ΠΈΡΠ΅ΡΠ°ΡΡΡΠ°. ΠΠ΅ΡΠΎΠ΄Ρ ΠΏΡΠΎΠ³Π½ΠΎΠ·ΠΈΡΠΎΠ²Π°Π½ΠΈΡ ΡΠΎΡΠΈΠ°Π»ΡΠ½ΠΎ-ΡΠΊΠΎΠ½ΠΎΠΌΠΈΡΠ΅ΡΠΊΠΈΡ ΠΏΡΠΎΡΠ΅ΡΡΠΎΠ² (ΡΠ΅ΡΠ΅ΡΠ°Ρ, ΠΊΡΡΡΠΎΠ²Π°Ρ, Π΄ΠΈΠΏΠ»ΠΎΠΌ, ΠΊΠΎΠ½ΡΡΠΎΠ»ΡΠ½Π°Ρ)
- 21. ΠΠ΄ΠΈΠ½Π΅Ρ Π.Π., Π’Π°ΡΠ°ΡΠ΅Π²ΠΈΡ Π. Π., Π¦Π°ΡΡΠ»ΠΈΠ½ Π. Π., ΠΡ ΠΌΠ΅Π΄ΠΎΠ²Π° Π’.Π. ΠΠ»Π°ΡΡΠΈΡΠ½ΠΎΡΡΡ ΠΈ Π΅Π΅ ΠΈΡΠΏΠΎΠ»ΡΠ·ΠΎΠ²Π°Π½ΠΈΠ΅ Π² ΡΠ΅Π½ΠΎΠΎΠ±ΡΠ°Π·ΠΎΠ²Π°Π½ΠΈΠΈ, Π°Π½Π°Π»ΠΈΠ·Π΅ ΠΈ ΠΏΡΠΎΠ³Π½ΠΎΠ·ΠΈΡΠΎΠ²Π°Π½ΠΈΠΈ ΡΠΏΡΠΎΡΠ°: Π£ΡΠ΅Π±Π½ΠΎΠ΅ ΠΏΠΎΡΠΎΠ±ΠΈΠ΅. — Π.: ΠΠ·Π΄-Π²ΠΎ ΠΠ€ΠΠ, 1990. — 64 Ρ.
- 22. Π‘Π²Π΅ΡΡΠ½ΡΠΊΠΎΠ² Π‘.Π. ΠΠΎΠ΄Π΅Π»ΠΈ ΡΠΏΡΠΎΡΠ° ΠΈ ΠΏΡΠ΅Π΄Π»ΠΎΠΆΠ΅Π½ΠΈΡ Π² ΠΏΡΠΎΡΡΡΠ°Π½ΡΡΠ²Π΅ ΡΠ΅Π½Π°-ΠΎΠ±ΡΠ΅ΠΌ-Π΄ΠΎΡ ΠΎΠ΄. — Π.: ΠΠ Π€ΠΠ ΠΠ ΠΠ‘Π‘, 2003.
ΠΠ ΠΠΠΠΠΠΠΠ― Π’Π°Π±Π»ΠΈΡΠ° Π. 1.
ΠΠ½Π°ΡΠ΅Π½ΠΈΠ΅ t- ΠΊΡΠΈΡΠ΅ΡΠΈΡ Π‘ΡΡΠΎΠ΄Π΅Π½ΡΠ° ΠΏΡΠΈ ΡΡΠΎΠ²Π½Π΅ Π·Π½Π°ΡΠΈΠΌΠΎΡΡΠΈ 0,10; 0,05; 0,01 (df- ΡΠΈΡΠ»ΠΎ ΡΡΠ΅ΠΏΠ΅Π½Π΅ΠΉ ΡΠ²ΠΎΠ±ΠΎΠ΄Ρ).
df | Π | df | Π | ||||
0,10. | 0,05. | 0,01. | 0,10. | 0,05. | 0,01. | ||
6,3138. | 12,706. | 63,657. | 1,7341. | 2,1009. | 2,8784. | ||
2,9200. | 4,3027. | 9,9248. | 1,7291. | 2,0930. | 2,8609. | ||
2,3534. | 3,1825. | 5,8409. | 1,7247. | 2,-860. | 2,8453. | ||
2,1318. | 2,7764. | 4,6041. | 1,7207. | 2,0796. | 2,8314. | ||
2,0150. | 2,5706. | 4,0321. | 1,7171. | 2,0739. | 2,8188. | ||
1,9432. | 2,4469. | 3,7074. | 1,7139. | 2,0687. | 2,8073. | ||
1,8946. | 2,3646. | 3,4995. | 1,7109. | 2,0639. | 2,7969. | ||
1,8595. | 2,3060. | 3,3554. | 1,7081. | 2,0595. | 2,7874. | ||
1,8331. | 2,2622. | 3,2498. | 1,7056. | 2,0555. | 2,7787. | ||
1,8125. | 2,2281. | 3,1693. | 1,7−33. | 2,0518. | 2,7707. | ||
1,7959. | 2,2010. | 3,1058. | 1,7011. | 2,0484. | 2,7633. | ||
1,7823. | 2,1788. | 3,0545. | 1,6991. | 2,0452. | 2,7564. | ||
1,7709. | 2,1604. | 3,0123. | 1,6973. | 2,0423. | 2,7500. | ||
1,7613. | 2,1448. | 2,9768. | 1,6839. | 2,0211. | 2,7045. | ||
1,7530. | 2,1315. | 2,9467. | 1,6707. | 2,0003. | 2,6603. | ||
1,7459. | 2,1199. | 2,9208. | 1,6577. | 1,9799. | 2,6174. | ||
1,7396. | 2,1098. | 2,8982. | ΠΠ. | 1,6449. | 1,9600. | 2,5758. |
ΠΠ½Π°ΡΠ΅Π½ΠΈΠ΅ F-ΠΊΡΠΈΡΠ΅ΡΠΈΡ Π€ΠΈΡΠ΅ΡΠ°.
(dfi - ΡΠΈΡΠ»ΠΎ ΡΡΠ΅ΠΏΠ΅Π½Π΅ΠΉ ΡΠ²ΠΎΠ±ΠΎΠ΄Ρ Π΄Π»Ρ Π±ΠΎΠ»ΡΡΠ΅ΠΉ Π΄ΠΈΡΠΏΠ΅ΡΡΠΈΠΈ;
df2 | d | f, | ||||||
18,51. | 19,00. | 19,16. | 19,25. | 19,30. | 19,33. | 19,36. | 19,37. | |
10,13. | 9,55. | 9,28. | 9,19. | 9,01. | 8,94. | 8,88. | 8,84. | |
7,71. | 6,94. | 6,59. | 6,39. | 6,26. | 6,16. | 6,09. | 6,04. | |
6,61. | 5,79. | 5,41. | 5,19. | 5,05. | 4,95. | 4,88. | 4,82. | |
5,99. | 5,14. | 4,76. | 4,53. | 4,39. | 4,28. | 4,21. | 4,15. | |
5,59. | 4,74. | 4,35. | 4,12. | 3,97. | 3,87. | 3,79. | 3,73. | |
5,32. | 4,46. | 4,07. | 3,84. | 3,69. | 3,58. | 3,50. | 3,44. | |
5,12. | 4,26. | 3,86. | 3,63. | 3,48. | 3,37. | 3,29. | 3,23. | |
4,96. | 4,10. | 3,71. | 3,48. | 3,33. | 3,22. | 3,14. | 3,07. | |
4,84. | 3,98. | 3,59. | 3,36. | 3,20. | 3,09. | 3,01. | 2,95. | |
4,75. | 3,88. | 3,49. | 3,26. | 3,11. | 3,00. | 2,92. | 2,85. | |
4,67. | 3,80. | 3,41. | 3,18. | 3,02. | 2,92. | 2,84. | 2,77. | |
4,60. | 3,74. | 3,34. | 3,11. | 2,96. | 2,85. | 2,77. | 2,70. | |
4,54. | 3,68. | 3,29. | 3,06. | 2,90. | 2,79. | 2,70. | 2,64. | |
4,49. | 3,63. | 3,24. | 3,01. | 2,85. | 2,74. | 2,66. | 2,59. | |
4,45. | 3,59. | 3,20. | 2,96. | 2,81. | 2,70. | 2,62. | 2,55. | |
4,41. | 3,55. | 3,16. | 2,93. | 2,77. | 2,66. | 2,58. | 2,51. | |
4,38. | 3,52. | 3,13. | 2,90. | 2,74. | 2,63. | 2,55. | 2,48. | |
4,35. | 3,49. | 3,10. | 2,87. | 2,71. | 2,60. | 2,52. | 2,45. | |
4,32. | 3,47. | 3,07. | 2,84. | 2,68. | 2,57. | 2,49. | 2,42. | |
4,30. | 3,44. | 3,05. | 2,82. | 2,66. | 2,55. | 2,47. | 2,40. | |
4,28. | 3,42. | 3,03. | 2,80. | 2,64. | 2,53. | 2,45. | 2,38. | |
4,26. | 3,40. | 3,01. | 2,78. | 2,62. | 2,51. | 2,43. | 2,36. | |
4,24. | 3,38. | 2,99. | 2,76. | 2,60. | 2,49. | 2,41. | 2,34. | |
4,22. | 3,37. | 2,98. | 2,74. | 2,59. | 2,47. | 2,39. | 2,32. | |
4,21. | 3,35. | 2,96. | 2,73. | 2,57. | 2,46. | 2,37. | 2,30. | |
4,20. | 3,34. | 2,95. | 2,71. | 2,56. | 2,44. | 2,36. | 2,29. | |
4,18. | 3,33. | 2,93. | 2,70. | 2,54. | 2,43. | 2,35. | 2,28. | |
4,17. | 3,32. | 2,02. | 2,69. | 2,53. | 2,42. | 2,34. | 2,27. | |
4,08. | 3,23. | 2,84. | 2,61. | 2,45. | 2,34. | 2,25. | 2,18. | |
4,03. | 3,18. | 2,79. | 2,56. | 2,40. | 2,29. | 2,20. | 2,13. | |
4,00. | 3,15. | 2,76. | 2,52. | 2,37. | 2,25. | 2,17. | 2,10. | |
3,94. | 3,09. | 2,70. | 2,46. | 2,30. | 2,19. | 2,10. | 2,03. | |
ΠΎΠΎ. | 3,84. | 2,99. | 2,60. | 2,37. | 2,21. | 2,09. | 2,01. | 1,94. |
ΠΏΡΠΈ ΡΡΠΎΠ²Π½Π΅ Π·Π½Π°ΡΠΈΠΌΠΎΡΡΠΈ 0,05.
(//? — ΡΠΈΡΠ»ΠΎ ΡΡΠ΅ΠΏΠ΅Π½Π΅ΠΉ ΡΠ²ΠΎΠ±ΠΎΠ΄Ρ Π΄Π»Ρ ΠΌΠ΅Π½ΡΡΠ΅ΠΉ Π΄ΠΈΡΠΏΠ΅ΡΡΠΈΠΈ).
dfi | ||||||||
19,38. | 19,39. | 19,40. | 19,41. | 19,42. | 19,43. | 19,44. | 19,46. | 19,50. |
8,81. | 8,78. | 8,76. | 8,74. | 8,?1. | 8,69. | 8,66. | 8,62. | 8,53. |
6,00. | 5,96. | 5,93. | 5,91. | 5.87. | 5,84. | 5,80. | 5,74. | 5,63. |
4,78. | 4,74. | 4,70. | 4,68. | 4.64. | 4,60. | 4,56. | 4.50. | 4,36. |
4,10. | 4,06. | 4,03. | 4,00. | 3,96. | 3,92. | 3,87. | 3,81. | 3,67. |
3,68. | 3,63. | 3,60. | 3,57. | 3,52. | 3,49. | 3.44. | 3,38. | 3,23. |
3,39. | 3,34. | 3,31. | 3,28. | 3,23. | 3,20. | 3,15. | 3,08. | 2,93. |
3,18. | 3,13. | 3,10. | 3,07. | 3,02. | 2,98. | 2,93. | 2,86. | 2,71. |
3,02. | 2,97. | 2,94. | 2,91. | 2,86. | 2,82. | 2,77. | 2,70. | 2,54. |
2,90. | 2,86. | 2,82. | 2,79. | 2,74. | 2,70. | 2,65. | 2,57. | 2,40. |
2,80. | 2,76. | 2,72. | 2,69. | 2,64. | 2,60. | 2,54. | 2,46. | 2,30. |
2,72. | 2,67. | 2,63. | 2,60. | 2,55. | 2,51. | 2,46. | 2,38. | 2., 21. |
2,65. | 2,60. | 2,56. | 2,53. | 2.48. | 2,44. | 2,39. | 2,31. | 2,13. |
2,59. | 2,55. | 2,51. | 2,48. | 2,43. | 2,39. | 2,33. | 2,25. | 2,07. |
2,54. | 2,49. | 2,45. | 2,42. | 2,37. | 2,33. | 2,28. | 2,20. | 2,01. |
2,50. | 2,45. | 2,41. | 2,38. | 2,33. | 2,29. | 2,23. | 2,15. | 1,96. |
2,46. | 2,41. | 2,37. | 2,34. | 2,29. | 2,25. | 2,19. | 2,11. | 1,92. |
2,43. | 2,38. | 2,34. | 2,31. | 2,26. | 2,21. | 2,15. | 2,07. | 1,88. |
2,40. | 2,35. | 2,31. | 2,28. | 2,23. | 2,18. | 2,12. | 2,04. | 1,84. |
2,37. | 2,32. | 2,28. | 2,25. | 2,20. | 2,15. | 2,09. | 2,00. | 1,81. |
2,35. | 2,30. | 2,26. | 2,23. | 2,18. | 2,13. | 2,07. | 1,98. | 1,78. |
2,32. | 2,28. | 2,24. | 2,20. | 2,14. | 2,10. | 2,04. | 1,96. | 1,76. |
2,30. | 2,26. | 2,22. | 2,18. | 2,13. | 2,09. | 2,02. | 1,94. | 1,73. |
2,28. | 2,24. | 2,20. | 2,16. | 2,11. | 2,06. | 2,00. | 1,92. | 1,71. |
2,27. | 2,22. | 2,18. | 2,15. | 2,10. | 2,05. | 1,99. | 1,90. | 1,69. |
2,25. | 2,20. | 2,16. | 2,13. | 2,08. | 2,03. | 1,97. | 1,88. | 1,67. |
2,24. | 2,19. | 2,15. | 2,12. | 2,06. | 2,02. | 1,96. | 1,87. | 1,65. |
2,22. | 2,18. | 2,14. | 2,10. | 2,05. | 2,00. | 1,94. | 1,85. | 1,64. |
2,21. | 2,16. | 2,12. | 2,09. | 2,04. | 1,99. | 1,93. | 1,84. | 1,62. |
2,12. | 2,07. | 2,04. | 2,00. | 1,95. | 1,90. | 1,84. | 1,74. | 1,51. |
2,07. | 2,02. | 1,98. | 1,95. | 1,90. | 1,85. | 1,78. | 1,69. | 1,44. |
2,04. | 1,99. | 1,95. | 1,92. | 1,86. | 1,81. | 1,75. | 1,65. | 1,39. |
1,97. | 1,92. | 1,88. | 1,85. | 1,79. | 1,75. | 1,68. | 1,57. | 1,28. |
1,88. | 1,83. | 1,79. | 1,75. | 1.69. | 1,64. | 1.57. | 1,46. | 1.00. |
Π’Π°Π±Π»ΠΈΡΠ° Π.Π.
ΠΠ½Π°ΡΠ΅Π½ΠΈΠ΅ Ρ2 — ΠΊΡΠΈΡΠ΅ΡΠΈΡ ΠΠΈΡΡΠΎΠ½Π° ΠΏΡΠΈ ΡΡΠΎΠ²Π½Π΅ Π·Π½Π°ΡΠΈΠΌΠΎΡΡΠΈ 0,10; 0,05; 0,01
df | 0,10. | 0,05. | 0,01. | df | 0,10. | 0,05. | 0,01. |
2,71. | 3,84. | 6,63. | 29,62. | 32,67. | 38,93. | ||
4,61. | 5,99. | 9,21. | 30,81. | 33,92. | 40,29. | ||
6,25. | 7,81. | 11,34. | 32,01. | 35,17. | 41,64. | ||
7,78. | 9,49. | 13,28. | 33,20. | 36,42. | 42,98. | ||
9,24. | 11,07. | 15,09. | 34,38. | 37,65. | 44,31. | ||
10,64. | 12,59. | 16,81. | 35,56. | 38,89. | 45,64. | ||
12,02. | 14,07. | 18,48. | 36,74. | 40,11. | 46,96. | ||
13,36. | 15,51. | 20,09. | 37,92. | 41,34. | 48,28. | ||
14,68. | 16,92. | 21,67. | 39,09. | 42,56. | 49,59. | ||
15,99. | 18,31. | 23,21. | 40,26. | 43,77. | 50,89. | ||
1 1. | 17,28. | 19,68. | 24,72. | 51,80. | 66,76. | 63,69. | |
18,55. | 21,03. | 26,22. | 63,17. | 67,50. | 76,15. | ||
19,81. | 22,36. | 27,69. | 74,40. | 79,08. | 88,38. | ||
21,06. | 23,68. | 29,14. | 85,53. | 90,53. | 100,42. | ||
22,31. | 25,00. | 30,58. | 96,58. | 101,88. | 112,33. | ||
23,54. | 26,30. | 32,00. | 107,56. | 113,14. | 124,12. | ||
24,77. | 27,59. | 33,41. | 118,50. | 124,34. | 135,81. | ||
25,99. | 28,87. | 34,81. | |||||
27,20. | 30,14. | 36,19. | |||||
28,41. | 31,14. | 37,57. |