• Aucun résultat trouvé

Tables statistiques

N/A
N/A
Protected

Academic year: 2022

Partager "Tables statistiques"

Copied!
4
0
0

Texte intégral

(1)𝟐. Table de la loi normale centrée et réduite : 𝑿~𝑵(𝟎, 𝟏). 𝝋 𝒙 =. 𝒕 𝒙 𝟏 𝒆− 𝟐 𝟐𝝅 −∞. Remarque. On a 𝜑 −𝑥 = 1 − 𝜑 𝑥 et par conséquent 𝜑−1 𝛼 = −𝜑−1 1 − 𝛼. is. 0,08 0,532 0,571 0,61 0,648 0,684 0,719 0,752 0,782 0,811 0,836 0,86 0,881 0,9 0,916 0,931 0,943 0,954 0,962 0,97 0,976 0,981 0,985 0,989 0,991 0,993 0,995 0,996 0,997 0,998 0,999. 0,09 0,536 0,575 0,614 0,652 0,688 0,722 0,755 0,785 0,813 0,839 0,862 0,883 0,901 0,918 0,932 0,944 0,954 0,963 0,971 0,977 0,982 0,986 0,989 0,992 0,994 0,995 0,996 0,997 0,998 0,999. en. 0,07 0,528 0,567 0,606 0,644 0,681 0,716 0,749 0,779 0,808 0,834 0,858 0,879 0,898 0,915 0,929 0,942 0,953 0,962 0,969 0,976 0,981 0,985 0,988 0,991 0,993 0,995 0,996 0,997 0,998 0,999. m. 0,06 0,524 0,564 0,603 0,641 0,677 0,712 0,745 0,776 0,805 0,831 0,855 0,877 0,896 0,913 0,928 0,941 0,952 0,961 0,969 0,975 0,98 0,985 0,988 0,991 0,993 0,995 0,996 0,997 0,998 0,998. xa. 0,05 0,52 0,56 0,599 0,637 0,674 0,709 0,742 0,773 0,802 0,829 0,853 0,875 0,894 0,911 0,926 0,939 0,951 0,96 0,968 0,974 0,98 0,984 0,988 0,991 0,993 0,995 0,996 0,997 0,998 0,998. l'e. 0,04 0,516 0,556 0,595 0,633 0,67 0,705 0,739 0,77 0,8 0,826 0,851 0,873 0,893 0,91 0,925 0,938 0,949 0,959 0,967 0,974 0,979 0,984 0,987 0,99 0,993 0,994 0,996 0,997 0,998 0,998. à. 0,03 0,512 0,552 0,591 0,629 0,666 0,702 0,736 0,767 0,797 0,824 0,848 0,871 0,891 0,908 0,924 0,937 0,948 0,958 0,966 0,973 0,979 0,983 0,987 0,99 0,992 0,994 0,996 0,997 0,998 0,998. é. 0,02 0,508 0,548 0,587 0,626 0,663 0,698 0,732 0,764 0,794 0,821 0,846 0,869 0,889 0,907 0,922 0,936 0,947 0,957 0,966 0,973 0,978 0,983 0,987 0,99 0,992 0,994 0,996 0,997 0,998 0,998. to r. 0,01 0,504 0,544 0,583 0,622 0,659 0,695 0,729 0,761 0,791 0,819 0,844 0,867 0,887 0,905 0,921 0,934 0,946 0,956 0,965 0,972 0,978 0,983 0,986 0,99 0,992 0,994 0,995 0,997 0,998 0,998. Au. 0 0,1 0,2 0,3 0,4 0,5 0,6 0,7 0,8 0,9 1 1,1 1,2 1,3 1,4 1,5 1,6 1,7 1,8 1,9 2 2,1 2,2 2,3 2,4 2,5 2,6 2,7 2,8 2,9. 0 0,5 0,54 0,579 0,618 0,655 0,691 0,726 0,758 0,788 0,816 0,841 0,864 0,885 0,903 0,919 0,933 0,945 0,955 0,964 0,971 0,977 0,982 0,986 0,989 0,992 0,994 0,995 0,997 0,997 0,998. 𝒅𝒕.

(2) Table des quantiles des lois du Chi-deux et de Student: 𝜶 = 𝑭 𝒙 = −1. 𝛼 = −𝐹. m. xa. l'e. à. é. is. to r. Au. 𝒕 𝒅𝒕 1−𝛼. Loi de Student 0,95 0,975 0,99 6,314 12,706 31,821 2,920 4,303 6,965 2,353 3,182 4,541 2,132 2,776 3,747 2,015 2,571 3,365 1,943 2,447 3,143 1,895 2,365 2,998 1,860 2,306 2,896 1,833 2,262 2,821 1,812 2,228 2,764 1,796 2,201 2,718 1,782 2,179 2,681 1,771 2,160 2,650 1,761 2,145 2,624 1,753 2,131 2,602 1,746 2,120 2,583 1,740 2,110 2,567 1,734 2,101 2,552 1,729 2,093 2,539 1,725 2,086 2,528 1,721 2,080 2,518 1,717 2,074 2,508 1,714 2,069 2,500 1,711 2,064 2,492 1,708 2,060 2,485 1,706 2,056 2,479 1,703 2,052 2,473 1,701 2,048 2,467 1,699 2,045 2,462 1,697 2,042 2,457 1,690 2,030 2,438 1,684 2,021 2,423 1,679 2,014 2,412 1,676 2,009 2,403 1,673 2,004 2,396 1,671 2,000 2,390 1,669 1,997 2,385 1,667 1,994 2,381 1,665 1,992 2,377 1,664 1,990 2,374 1,663 1,988 2,371 1,662 1,987 2,368 1,661 1,985 2,366 1,660 1,984 2,364. en. Remarque. Pour la loi de Student on a 𝐹 −𝑥 = 1 − 𝐹 𝑥 et par conséquent 𝐹 𝜶 Loi du Chi-deux n 0,01 0,025 0,5 0,1 0,9 0,95 0,975 0,99 0,9 1 0,0002 0,001 0,00 0,02 2,71 3,84 5,02 6,63 3,078 2 0,020 0,051 0,10 0,21 4,61 5,99 7,38 9,21 1,886 3 0,11 0,22 0,35 0,58 6,25 7,81 9,35 11,34 1,638 4 0,30 0,48 0,71 1,06 7,78 9,49 11,14 13,28 1,533 5 0,55 0,83 1,15 1,61 9,24 11,07 12,83 15,09 1,476 6 0,87 1,24 1,64 2,20 10,64 12,59 14,45 16,81 1,440 7 1,24 1,69 2,17 2,83 12,02 14,07 16,01 18,48 1,415 8 1,65 2,18 2,73 3,49 13,36 15,51 17,53 20,09 1,397 9 2,09 2,70 3,33 4,17 14,68 16,92 19,02 21,67 1,383 10 2,56 3,25 3,94 4,87 15,99 18,31 20,48 23,21 1,372 11 3,05 3,82 4,57 5,58 17,28 19,68 21,92 24,72 1,363 12 3,57 4,40 5,23 6,30 18,55 21,03 23,34 26,22 1,356 13 4,11 5,01 5,89 7,04 19,81 22,36 24,74 27,69 1,350 14 4,66 5,63 6,57 7,79 21,06 23,68 26,12 29,14 1,345 15 5,23 6,26 7,26 8,55 22,31 25,00 27,49 30,58 1,341 16 5,81 6,91 7,96 9,31 23,54 26,30 28,85 32,00 1,337 17 6,41 7,56 8,67 10,09 24,77 27,59 30,19 33,41 1,333 18 7,01 8,23 9,39 10,86 25,99 28,87 31,53 34,81 1,330 19 7,63 8,91 10,12 11,65 27,20 30,14 32,85 36,19 1,328 20 8,26 9,59 10,85 12,44 28,41 31,41 34,17 37,57 1,325 21 8,90 10,28 11,59 13,24 29,62 32,67 35,48 38,93 1,323 22 9,54 10,98 12,34 14,04 30,81 33,92 36,78 40,29 1,321 23 10,20 11,69 13,09 14,85 32,01 35,17 38,08 41,64 1,319 24 10,86 12,40 13,85 15,66 33,20 36,42 39,36 42,98 1,318 25 11,52 13,12 14,61 16,47 34,38 37,65 40,65 44,31 1,316 26 12,20 13,84 15,38 17,29 35,56 38,89 41,92 45,64 1,315 27 12,88 14,57 16,15 18,11 36,74 40,11 43,19 46,96 1,314 28 13,56 15,31 16,93 18,94 37,92 41,34 44,46 48,28 1,313 29 14,26 16,05 17,71 19,77 39,09 42,56 45,72 49,59 1,311 30 14,95 16,79 18,49 20,60 40,26 43,77 46,98 50,89 1,310 35 18,51 20,57 22,47 24,80 46,06 49,80 53,20 57,34 1,306 40 22,16 24,43 26,51 29,05 51,81 55,76 59,34 63,69 1,303 45 25,90 28,37 30,61 33,35 57,51 61,66 65,41 69,96 1,301 50 29,71 32,36 34,76 37,69 63,17 67,50 71,42 76,15 1,299 55 33,57 36,40 38,96 42,06 68,80 73,31 77,38 82,29 1,297 60 37,48 40,48 43,19 46,46 74,40 79,08 83,30 88,38 1,296 65 41,44 44,60 47,45 50,88 79,97 84,82 89,18 94,42 1,295 70 45,44 48,76 51,74 55,33 85,53 90,53 95,02 100,43 1,294 75 49,48 52,94 56,05 59,79 91,06 96,22 100,84 106,39 1,293 80 53,54 57,15 60,39 64,28 96,58 101,88 106,63 112,33 1,292 85 57,63 61,39 64,75 68,78 102,08 107,52 112,39 118,24 1,292 90 61,75 65,65 69,13 73,29 107,57 113,15 118,14 124,12 1,291 95 65,90 69,92 73,52 77,82 113,04 118,75 123,86 129,97 1,291 100 70,06 74,22 77,93 82,36 118,50 124,34 129,56 135,81 1,290. 𝒙 𝒇 −∞ −1.

(3) Table des quantiles pour la loi de Fisher à n et m ddl pour 𝜶 = 𝟎. 𝟗𝟓 : 𝛼 = 𝐹𝑛,𝑚 𝑥 =. 𝑥 𝑓 −∞ 𝑛,𝑚. −1 𝑡 𝑑𝑡. Remarque. On a : 𝐹𝑛,𝑚 𝛼 . 𝐹𝑚−1,𝑛 1 − 𝛼 =1. 3. 4. 5. 6. 7. 8. 9. 10. 12. 14. 16. 18. 20. 22. 24. 26. 28. 30. 35. 40. 45. 50. 55. 60. 65. 70. 75. 80. 85. 90. 95. 100. 1. 161,4. 199,5. 215,7. 224,6. 230,2. 234,0. 236,8. 238,9. 240,5. 241,9. 243,9. 245,4. 246,5. 247,3. 248,0. 248,6. 249,1. 249,5. 249,8. 250,1. 250,7. 251,1. 251,5. 251,8. 252,0. 252,2. 252,4. 252,5. 252,6. 252,7. 252,8. 252,9. 253,0. 253,0. 2. 18,51. 19,00. 19,16. 19,25. 19,30. 19,33. 19,35. 19,37. 19,38. 19,40. 19,41. 19,42. 19,43. 19,44. 19,45. 19,45. 19,45. 19,46. 19,46. 19,46. 19,47. 19,47. 19,47. 19,48. 19,48. 19,48. 19,48. 19,48. 19,48. 19,48. 19,48. 19,48. 19,49. 19,49. 3. 10,13. 9,55. 9,28. 9,12. 9,01. 8,94. 8,89. 8,85. 8,81. 8,79. 8,74. 8,71. 8,69. 8,67. 8,66. 8,65. 8,64. 8,63. 8,62. 8,62. 8,60. 8,59. 8,59. 8,58. 8,58. 8,57. 8,57. 8,57. 8,56. 8,56. 8,56. 8,56. 8,56. 8,55. 4. 7,71. 6,94. 6,59. 6,39. 6,26. 6,16. 6,09. 6,04. 6,00. 5,96. 5,91. 5,87. 5,84. 5,82. 5,80. 5,79. 5,77. 5,76. 5,75. 5,75. 5,73. 5,72. 5,71. 5,70. 5,69. 5,69. 5,68. 5,68. 5,68. 5,67. 5,67. 5,67. 5,67. 5,66. 5. 6,61. 5,79. 5,41. 5,19. 5,05. 4,95. 4,88. 4,82. 4,77. 4,74. 4,68. 4,64. 4,60. 4,58. 4,56. 4,54. 4,53. 4,52. 4,50. 4,50. 4,48. 4,46. 4,45. 4,44. 4,44. 4,43. 4,43. 4,42. 4,42. 4,41. 4,41. 4,41. 4,41. 4,41. 6. 5,99. 5,14. 4,76. 4,53. 4,39. 4,28. 4,21. 4,15. 4,10. 4,06. 4,00. 3,96. 3,92. 3,90. 3,87. 3,86. 3,84. 3,83. 3,82. 3,81. 3,79. 3,77. 3,76. 3,75. 3,75. 3,74. 3,73. 3,73. 3,73. 3,72. 3,72. 3,72. 3,71. 3,71. 7. 5,59. 4,74. 4,35. 4,12. 3,97. 3,87. 3,79. 3,73. 3,68. 3,64. 3,57. 3,53. 3,49. 3,47. 3,44. 3,43. 3,41. 3,40. 3,39. 3,38. 3,36. 3,34. 3,33. 3,32. 3,31. 3,30. 3,30. 3,29. 3,29. 3,29. 3,28. 3,28. 3,28. 3,27. 8. 5,32. 4,46. 4,07. 3,84. 3,69. 3,58. 3,50. 3,44. 3,39. 3,35. 3,28. 3,24. 3,20. 3,17. 3,15. 3,13. 3,12. 3,10. 3,09. 3,08. 3,06. 3,04. 3,03. 3,01. 3,01. 3,00. 2,99. 2,99. 2,99. 2,98. 2,98. 2,98. 2,97. 9. 5,12. 4,26. 3,86. 3,63. 3,48. 3,37. 3,29. 3,23. 3,18. 3,14. 3,07. 3,03. 2,99. 2,96. 2,94. 2,92. 2,90. 2,89. 2,87. 2,86. 2,84. 2,83. 2,81. 2,80. 2,79. 2,79. 2,78. 2,78. 2,77. 2,77. 2,76. 2,76. 2,76. 2,76. 10. 4,96. 4,10. 3,71. 3,48. 3,33. 3,22. 3,14. 3,07. 3,02. 2,98. 2,91. 2,86. 2,83. 2,80. 2,77. 2,75. 2,74. 2,72. 2,71. 2,70. en. 3,02. 2,68. 2,66. 2,65. 2,64. 2,63. 2,62. 2,61. 2,61. 2,60. 2,60. 2,60. 2,59. 2,59. 2,59. 12. 4,75. 3,89. 3,49. 3,26. 3,11. 3,00. 2,91. 2,85. 2,80. 2,75. 2,69. 2,64. 2,60. 2,57. 2,54. 2,52. 2,51. 2,49. 2,48. 2,47. 2,44. 2,43. 2,41. 2,40. 2,39. 2,38. 2,38. 2,37. 2,37. 2,36. 2,36. 2,36. 2,35. 2,35. 14. 4,60. 3,74. 3,34. 3,11. 2,96. 2,85. 2,76. 2,70. 2,65. 2,60. 2,53. 2,48. 2,44. 2,41. 2,39. 2,37. 2,35. 2,33. 2,32. 2,31. 2,28. 2,27. 2,25. 2,24. 2,23. 2,22. 2,22. 2,21. 2,21. 2,20. 2,20. 2,19. 2,19. 2,19. 16. 4,49. 3,63. 3,24. 3,01. 2,85. 2,74. 2,66. 2,59. 2,54. 2,49. 2,42. 2,37. 2,33. 2,30. 2,28. 2,25. 2,24. 2,22. 2,21. 2,19. 2,17. 2,15. 2,14. 2,12. 2,11. 2,11. 2,10. 2,09. 2,09. 2,08. 2,08. 2,07. 2,07. 2,07. 18. 4,41. 3,55. 3,16. 2,93. 2,77. 2,66. 2,58. 2,51. 2,46. 2,41. 2,34. 2,29. 2,25. 2,22. 2,19. 2,17. 2,15. 2,13. 2,12. 2,08. 2,06. 2,05. 2,04. 2,03. 2,02. 2,01. 2,00. 2,00. 1,99. 1,99. 1,98. 1,98. 1,98. 20. 4,35. 3,49. 3,10. 2,87. 2,71. 2,60. 2,51. 2,45. 2,39. 2,35. 2,28. 2,22. 2,18. 2,15. 2,12. 2,10. 2,08. 2,07. 2,05. 2,04. 2,01. 1,99. 1,98. 1,97. 1,96. 1,95. 1,94. 1,93. 1,93. 1,92. 1,92. 1,91. 1,91. 1,91. 22. 4,30. 3,44. 3,05. 2,82. 2,66. 2,55. 2,46. 2,40. 2,34. 2,30. 2,23. 2,17. 2,13. 2,10. 2,07. 2,05. l'e. 2,11. 2,03. 2,01. 2,00. 1,98. 1,96. 1,94. 1,92. 1,91. 1,90. 1,89. 1,88. 1,88. 1,87. 1,86. 1,86. 1,86. 1,85. 1,85. 24. 4,26. 3,40. 3,01. 2,78. 2,62. 2,51. 2,42. 2,36. 2,30. 2,25. 2,18. 2,13. 2,09. 2,05. 2,03. 2,00. 1,98. 1,97. 1,95. 1,94. 1,91. 1,89. 1,88. 1,86. 1,85. 1,84. 1,83. 1,83. 1,82. 1,82. 1,81. 1,81. 1,80. 1,80. 26. 4,23. 3,37. 2,98. 2,74. 2,59. 2,47. 2,39. 2,32. 2,27. 2,22. 2,15. 2,09. 2,05. 2,02. 1,99. 1,97. 1,95. 1,93. 1,91. 1,90. 1,87. 1,85. 1,84. 1,82. 1,81. 1,80. 1,79. 1,79. 1,78. 1,78. 1,77. 1,77. 1,76. 1,76. 28. 4,20. 3,34. 2,95. 2,71. 2,56. 2,45. 2,36. 2,29. 2,24. 2,19. 2,12. 2,06. 2,02. 1,99. 1,93. é. 1,91. 1,90. 1,88. 1,87. 1,84. 1,82. 1,80. 1,79. 1,78. 1,77. 1,76. 1,75. 1,75. 1,74. 1,74. 1,73. 1,73. 1,73. 30. 4,17. 3,32. 2,92. 2,69. 2,53. 2,42. 2,33. 2,27. 2,21. 2,16. 2,09. 2,04. 1,99. 1,96. 1,93. 1,91. 1,89. 1,87. 1,85. 1,84. 1,81. 1,79. 1,77. 1,76. 1,75. 1,74. 1,73. 1,72. 1,72. 1,71. 1,71. 1,70. 1,70. 1,70. 35. 4,12. 3,27. 2,87. 2,64. 2,49. 2,37. 2,29. 2,22. 2,16. 2,11. 2,04. 1,99. 1,94. 1,91. 1,88. 1,85. 1,83. 1,82. 1,80. 1,79. 1,76. 1,74. 1,72. 1,70. 1,69. 1,68. 1,67. 1,66. 1,66. 1,65. 1,65. 1,64. 1,64. 1,63. 40. 4,08. 3,23. 2,84. 2,61. 2,45. 2,34. 2,25. 2,18. 2,12. 2,08. 2,00. 1,95. 1,90. 1,87. 1,84. 1,81. 1,79. 1,77. 1,76. 1,74. 1,72. 1,69. 1,67. 1,66. 1,65. 1,64. 1,63. 1,62. 1,61. 1,61. 1,60. 1,60. 1,59. 1,59. 45. 4,06. 3,20. 2,81. 2,58. 2,42. 2,31. 2,22. 2,15. 2,10. 2,05. 1,97. 1,92. 1,87. 1,84. 1,81. 1,78. 1,76. 1,74. 1,73. 1,71. 1,68. 1,66. 1,64. 1,63. 1,61. 1,60. 1,59. 1,59. 1,58. 1,57. 1,57. 1,56. 1,56. 1,55. 50. 4,03. 3,18. 2,79. 2,56. 2,40. 2,29. 2,20. 2,13. 2,07. 2,03. 1,95. 1,89. 1,85. 1,81. 1,78. 1,76. 1,74. 1,72. 1,70. 1,69. 1,66. 1,63. 1,61. 1,60. 1,59. 1,58. 1,57. 1,56. 1,55. 1,54. 1,54. 1,53. 1,53. 1,52. 55. 4,02. 3,16. 2,77. 2,54. 2,38. 2,27. 2,18. 2,11. 2,06. 2,01. 1,93. 1,88. 1,83. 1,79. 1,76. 1,74. 1,72. 1,70. 1,68. 1,67. 1,64. 1,61. 1,59. 1,58. 1,56. 1,55. 1,54. 1,54. 1,53. 1,52. 1,52. 1,51. 1,51. 1,50. 60. 4,00. 3,15. 2,76. 2,53. 2,37. 2,25. 2,17. 2,10. 2,04. 1,99. 1,92. 1,86. 1,82. 1,78. 1,75. 1,72. 1,70. 1,68. 1,66. 1,65. 1,62. 1,59. 1,57. 1,56. 1,55. 1,53. 1,52. 1,52. 1,51. 1,50. 1,50. 1,49. 1,49. 1,48. 65. 3,99. 3,14. 2,75. 2,51. 2,36. 2,24. 2,15. 2,08. 2,03. 1,98. 1,90. 1,85. 1,80. 1,76. 1,73. 1,71. 1,69. 1,67. 1,65. 1,63. 1,60. 1,58. 1,56. 1,54. 1,53. 1,52. 1,51. 1,50. 1,49. 1,49. 1,48. 1,47. 1,47. 1,46. 70. 3,98. 3,13. 2,74. 2,50. 2,35. 2,23. 2,14. 2,07. 2,02. 1,97. 1,89. 1,84. 1,79. 1,75. 1,72. 1,70. 1,67. 1,65. 1,64. 1,62. 1,59. 1,57. 1,55. 1,53. 1,52. 1,50. 1,49. 1,49. 1,48. 1,47. 1,46. 1,46. 1,45. 1,45. 75. 3,97. 3,12. 2,73. 2,49. 2,34. 2,22. 2,13. 2,06. 2,01. 1,96. 1,88. 1,83. 1,78. 1,74. 1,71. 1,69. 1,66. 1,64. 1,63. 1,61. 1,58. 1,55. 1,53. 1,52. 1,50. 1,49. 1,48. 1,47. 1,47. 1,46. 1,45. 1,45. 1,44. 1,44. 80. 3,96. 3,11. 2,72. 2,49. 2,33. 2,21. 2,13. 2,06. 2,00. 1,95. 1,88. 1,82. 1,77. 1,73. 1,70. 1,68. 1,65. 1,63. 1,62. 1,60. 1,57. 1,54. 1,52. 1,51. 1,49. 1,48. 1,47. 1,46. 1,45. 1,45. 1,44. 1,44. 1,43. 1,43. 85. 3,95. 3,10. 2,71. 2,48. 2,32. 2,21. 2,12. 2,05. 1,99. 1,94. 1,87. 1,81. 1,76. 1,73. 1,70. 1,67. 1,65. 1,63. 1,61. 1,59. 1,56. 1,54. 1,52. 1,50. 1,48. 1,47. 1,46. 1,45. 1,45. 1,44. 1,43. 1,43. 1,42. 1,42. 90. 3,95. 3,10. 2,71. 2,47. 2,32. 2,20. 2,11. 2,04. 1,99. 1,94. 1,86. 1,80. 1,76. 1,72. 1,69. 1,66. 1,64. 1,62. 1,60. 1,59. 1,55. 1,53. 1,51. 1,49. 1,48. 1,46. 1,45. 1,44. 1,44. 1,43. 1,42. 1,42. 1,41. 1,41. 95. 3,94. 3,09. 2,70. 2,47. 2,31. 2,20. 2,11. 2,04. 1,98. 1,93. 1,86. 1,80. 1,75. 1,71. 1,68. 1,66. 1,63. 1,61. 1,59. 1,58. 1,55. 1,52. 1,50. 1,48. 1,47. 1,46. 1,45. 1,44. 1,43. 1,42. 1,42. 1,41. 1,40. 1,40. 100. 3,94. 3,09. 2,70. 2,46. 2,31. 2,19. 2,10. 2,03. 1,97. 1,93. 1,85. 1,79. 1,75. 1,71. 1,68. 1,65. 1,63. 1,61. 1,59. 1,57. 1,54. 1,52. 1,49. 1,48. 1,46. 1,45. 1,44. 1,43. 1,42. 1,41. 1,41. 1,40. 1,40. 1,39. Au. ris. 1,96. xa. m. 2. à. 1. to. n m.

(4) Table des quantiles pour la loi de Fisher à n et m ddl pour 𝜶 = 𝟎. 𝟗𝟕𝟓 : 𝛼 = 𝐹𝑛,𝑚 𝑥 =. 𝑥 𝑓 −∞ 𝑛,𝑚. −1 𝑡 𝑑𝑡. Remarque. On a : 𝐹𝑛,𝑚 𝛼 . 𝐹𝑚−1,𝑛 1 − 𝛼 =1. 3. 4. 5. 6. 7. 8. 9. 10. 12. 14. 16. 18. 20. 22. 24. 26. 28. 30. 35. 40. 45. 50. 55. 60. 65. 70. 75. 80. 85. 90. 95. 100. 1. 647,8. 799,5. 864,2. 899,6. 921,8. 937,1. 948,2. 956,7. 963,3. 968,6. 976,7. 982,5. 986,9. 990,3. 993,1. 995,4. 997,2. 998,8. 1000. 1001. 1004. 1006. 1007. 1008. 1009. 1010. 1010. 1011. 1011. 1012. 1012. 1013. 1013. 1013. 2. 38,51. 39,00. 39,17. 39,25. 39,30. 39,33. 39,36. 39,37. 39,39. 39,40. 39,41. 39,43. 39,44. 39,44. 39,45. 39,45. 39,46. 39,46. 39,46. 39,46. 39,47. 39,47. 39,48. 39,48. 39,48. 39,48. 39,48. 39,48. 39,48. 39,49. 39,49. 39,49. 39,49. 39,49. 3. 17,44. 16,04. 15,44. 15,10. 14,88. 14,73. 14,62. 14,54. 14,47. 14,42. 14,34. 14,28. 14,23. 14,20. 14,17. 14,14. 14,12. 14,11. 14,09. 14,08. 14,06. 14,04. 14,02. 14,01. 14,00. 13,99. 13,99. 13,98. 13,97. 13,97. 13,97. 13,96. 13,96. 13,96. 4. 12,22. 10,65. 9,98. 9,60. 9,36. 9,20. 9,07. 8,98. 8,90. 8,84. 8,75. 8,68. 8,63. 8,59. 8,56. 8,53. 8,51. 8,49. 8,48. 8,46. 8,43. 8,41. 8,39. 8,38. 8,37. 8,36. 8,35. 8,35. 8,34. 8,33. 8,33. 8,33. 8,32. 8,32. 5. 10,01. 8,43. 7,76. 7,39. 7,15. 6,98. 6,85. 6,76. 6,68. 6,62. 6,52. 6,46. 6,40. 6,36. 6,33. 6,30. 6,28. 6,26. 6,24. 6,23. 6,20. 6,18. 6,16. 6,14. 6,13. 6,12. 6,11. 6,11. 6,10. 6,10. 6,09. 6,09. 6,08. 6,08. 6. 8,81. 7,26. 6,60. 6,23. 5,99. 5,82. 5,70. 5,60. 5,52. 5,46. 5,37. 5,30. 5,24. 5,20. 5,17. 5,14. 5,12. 5,10. 5,08. 5,07. 5,04. 5,01. 4,99. 4,98. 4,97. 4,96. 4,95. 4,94. 4,94. 4,93. 4,93. 4,92. 4,92. 4,92. 7. 8,07. 6,54. 5,89. 5,52. 5,29. 5,12. 4,99. 4,90. 4,82. 4,76. 4,67. 4,60. 4,54. 4,50. 4,47. 4,44. 4,41. 4,39. 4,38. 4,36. 4,33. 4,31. 4,29. 4,28. 4,26. 4,25. 4,25. 4,24. 4,23. 4,23. 4,22. 4,22. 4,21. 4,21. 8. 7,57. 6,06. 5,42. 5,05. 4,82. 4,65. 4,53. 4,43. 4,36. 4,30. 4,20. 4,13. 4,08. 4,03. 4,00. 3,97. 3,95. 3,93. 3,91. 3,89. 3,86. 3,84. 3,82. 3,79. 3,78. 3,78. 3,77. 3,76. 3,76. 3,75. 3,75. 3,74. 3,74. 9. 7,21. 5,71. 5,08. 4,72. 4,48. 4,32. 4,20. 4,10. 4,03. 3,96. 3,87. 3,80. 3,74. 3,70. 3,67. 3,64. 3,61. 3,59. 3,58. 3,56. 3,53. 3,51. 3,49. 3,47. 3,46. 3,45. 3,44. 3,43. 3,43. 3,42. 3,42. 3,41. 3,41. 3,40. 10. 6,94. 5,46. 4,83. 4,47. 4,24. 4,07. 3,95. 3,85. 3,78. 3,72. 3,62. 3,55. 3,50. 3,45. 3,42. 3,39. 3,37. 3,34. 3,33. 3,31. en. 3,81. 3,28. 3,26. 3,24. 3,22. 3,21. 3,20. 3,19. 3,18. 3,18. 3,17. 3,16. 3,16. 3,16. 3,15. 12. 6,55. 5,10. 4,47. 4,12. 3,89. 3,73. 3,61. 3,51. 3,44. 3,37. 3,28. 3,21. 3,15. 3,11. 3,07. 3,04. 3,02. 3,00. 2,98. 2,96. 2,93. 2,91. 2,89. 2,87. 2,86. 2,85. 2,84. 2,83. 2,82. 2,82. 2,81. 2,81. 2,80. 2,80. 14. 6,30. 4,86. 4,24. 3,89. 3,66. 3,50. 3,38. 3,29. 3,21. 3,15. 3,05. 2,98. 2,92. 2,88. 2,84. 2,81. 2,79. 2,77. 2,75. 2,73. 2,70. 2,67. 2,65. 2,64. 2,63. 2,61. 2,60. 2,60. 2,59. 2,58. 2,58. 2,57. 2,57. 2,56. 16. 6,12. 4,69. 4,08. 3,73. 3,50. 3,34. 3,22. 3,12. 3,05. 2,99. 2,89. 2,82. 2,76. 2,72. 2,68. 2,65. 2,63. 2,60. 2,58. 2,57. 2,53. 2,51. 2,49. 2,47. 2,46. 2,45. 2,44. 2,43. 2,42. 2,42. 2,41. 2,40. 2,40. 2,40. 18. 5,98. 4,56. 3,95. 3,61. 3,38. 3,22. 3,10. 3,01. 2,93. 2,87. 2,77. 2,70. 2,64. 2,60. 2,56. 2,53. 2,50. 2,48. 2,46. 2,41. 2,38. 2,36. 2,35. 2,33. 2,32. 2,31. 2,30. 2,30. 2,29. 2,28. 2,28. 2,27. 2,27. 20. 5,87. 4,46. 3,86. 3,51. 3,29. 3,13. 3,01. 2,91. 2,84. 2,77. 2,68. 2,60. 2,55. 2,50. 2,46. 2,43. 2,41. 2,39. 2,37. 2,35. 2,31. 2,29. 2,27. 2,25. 2,24. 2,22. 2,21. 2,20. 2,20. 2,19. 2,18. 2,18. 2,17. 2,17. 22. 5,79. 4,38. 3,78. 3,44. 3,22. 3,05. 2,93. 2,84. 2,76. 2,70. 2,60. 2,53. 2,47. 2,43. 2,39. 2,36. l'e. 2,44. 2,33. 2,31. 2,29. 2,27. 2,24. 2,21. 2,19. 2,17. 2,16. 2,14. 2,13. 2,13. 2,12. 2,11. 2,10. 2,10. 2,09. 2,09. 24. 5,72. 4,32. 3,72. 3,38. 3,15. 2,99. 2,87. 2,78. 2,70. 2,64. 2,54. 2,47. 2,41. 2,36. 2,33. 2,30. 2,27. 2,25. 2,23. 2,21. 2,17. 2,15. 2,12. 2,11. 2,09. 2,08. 2,07. 2,06. 2,05. 2,05. 2,04. 2,03. 2,03. 2,02. 26. 5,66. 4,27. 3,67. 3,33. 3,10. 2,94. 2,82. 2,73. 2,65. 2,59. 2,49. 2,42. 2,36. 2,31. 2,28. 2,24. 2,22. 2,19. 2,17. 2,16. 2,12. 2,09. 2,07. 2,05. 2,04. 2,03. 2,02. 2,01. 2,00. 1,99. 1,98. 1,98. 1,97. 1,97. 28. 5,61. 4,22. 3,63. 3,29. 3,06. 2,90. 2,78. 2,69. 2,61. 2,55. 2,45. 2,37. 2,32. 2,27. 2,20. é. 2,17. 2,15. 2,13. 2,11. 2,08. 2,05. 2,03. 2,01. 1,99. 1,98. 1,97. 1,96. 1,95. 1,94. 1,94. 1,93. 1,93. 1,92. 30. 5,57. 4,18. 3,59. 3,25. 3,03. 2,87. 2,75. 2,65. 2,57. 2,51. 2,41. 2,34. 2,28. 2,23. 2,20. 2,16. 2,14. 2,11. 2,09. 2,07. 2,04. 2,01. 1,99. 1,97. 1,95. 1,94. 1,93. 1,92. 1,91. 1,90. 1,90. 1,89. 1,89. 1,88. 35. 5,48. 4,11. 3,52. 3,18. 2,96. 2,80. 2,68. 2,58. 2,50. 2,44. 2,34. 2,27. 2,21. 2,16. 2,12. 2,09. 2,06. 2,04. 2,02. 2,00. 1,96. 1,93. 1,91. 1,89. 1,87. 1,86. 1,85. 1,84. 1,83. 1,82. 1,82. 1,81. 1,81. 1,80. 40. 5,42. 4,05. 3,46. 3,13. 2,90. 2,74. 2,62. 2,53. 2,45. 2,39. 2,29. 2,21. 2,15. 2,11. 2,07. 2,03. 2,01. 1,98. 1,96. 1,94. 1,90. 1,88. 1,85. 1,83. 1,82. 1,80. 1,79. 1,78. 1,77. 1,76. 1,76. 1,75. 1,75. 1,74. 45. 5,38. 4,01. 3,42. 3,09. 2,86. 2,70. 2,58. 2,49. 2,41. 2,35. 2,25. 2,17. 2,11. 2,07. 2,03. 1,99. 1,96. 1,94. 1,92. 1,90. 1,86. 1,83. 1,81. 1,79. 1,77. 1,76. 1,75. 1,74. 1,73. 1,72. 1,71. 1,70. 1,70. 1,69. 50. 5,34. 3,97. 3,39. 3,05. 2,83. 2,67. 2,55. 2,46. 2,38. 2,32. 2,22. 2,14. 2,08. 2,03. 1,99. 1,96. 1,93. 1,91. 1,89. 1,87. 1,83. 1,80. 1,77. 1,75. 1,74. 1,72. 1,71. 1,70. 1,69. 1,68. 1,67. 1,67. 1,66. 1,66. 55. 5,31. 3,95. 3,36. 3,03. 2,81. 2,65. 2,53. 2,43. 2,36. 2,29. 2,19. 2,11. 2,05. 2,01. 1,97. 1,93. 1,90. 1,88. 1,86. 1,84. 1,80. 1,77. 1,74. 1,72. 1,71. 1,69. 1,68. 1,67. 1,66. 1,65. 1,64. 1,64. 1,63. 1,62. 60. 5,29. 3,93. 3,34. 3,01. 2,79. 2,63. 2,51. 2,41. 2,33. 2,27. 2,17. 2,09. 2,03. 1,98. 1,94. 1,91. 1,88. 1,86. 1,83. 1,82. 1,78. 1,74. 1,72. 1,70. 1,68. 1,67. 1,65. 1,64. 1,63. 1,63. 1,62. 1,61. 1,60. 1,60. 65. 5,26. 3,91. 3,32. 2,99. 2,77. 2,61. 2,49. 2,39. 2,32. 2,25. 2,15. 2,07. 2,01. 1,97. 1,93. 1,89. 1,86. 1,84. 1,82. 1,80. 1,76. 1,72. 1,70. 1,68. 1,66. 1,65. 1,63. 1,62. 1,61. 1,60. 1,60. 1,59. 1,58. 1,58. 70. 5,25. 3,89. 3,31. 2,97. 2,75. 2,59. 2,47. 2,38. 2,30. 2,24. 2,14. 2,06. 2,00. 1,95. 1,91. 1,88. 1,85. 1,82. 1,80. 1,78. 1,74. 1,71. 1,68. 1,66. 1,64. 1,63. 1,62. 1,60. 1,59. 1,59. 1,58. 1,57. 1,56. 1,56. 75. 5,23. 3,88. 3,30. 2,96. 2,74. 2,58. 2,46. 2,37. 2,29. 2,22. 2,12. 2,05. 1,99. 1,94. 1,90. 1,86. 1,83. 1,81. 1,78. 1,76. 1,72. 1,69. 1,67. 1,65. 1,63. 1,61. 1,60. 1,59. 1,58. 1,57. 1,56. 1,55. 1,55. 1,54. 80. 5,22. 3,86. 3,28. 2,95. 2,73. 2,57. 2,45. 2,35. 2,28. 2,21. 2,11. 2,03. 1,97. 1,92. 1,88. 1,85. 1,82. 1,79. 1,77. 1,75. 1,71. 1,68. 1,65. 1,63. 1,61. 1,60. 1,59. 1,57. 1,56. 1,55. 1,55. 1,54. 1,53. 1,53. 85. 5,21. 3,85. 3,27. 2,94. 2,72. 2,56. 2,44. 2,35. 2,27. 2,20. 2,10. 2,02. 1,96. 1,91. 1,87. 1,84. 1,81. 1,78. 1,76. 1,74. 1,70. 1,67. 1,64. 1,62. 1,60. 1,59. 1,57. 1,56. 1,55. 1,54. 1,53. 1,53. 1,52. 1,51. 90. 5,20. 3,84. 3,26. 2,93. 2,71. 2,55. 2,43. 2,34. 2,26. 2,19. 2,09. 2,02. 1,95. 1,91. 1,86. 1,83. 1,80. 1,77. 1,75. 1,73. 1,69. 1,66. 1,63. 1,61. 1,59. 1,58. 1,56. 1,55. 1,54. 1,53. 1,52. 1,52. 1,51. 1,50. 95. 5,19. 3,84. 3,26. 2,92. 2,70. 2,54. 2,42. 2,33. 2,25. 2,19. 2,08. 2,01. 1,95. 1,90. 1,86. 1,82. 1,79. 1,77. 1,74. 1,72. 1,68. 1,65. 1,62. 1,60. 1,58. 1,57. 1,55. 1,54. 1,53. 1,52. 1,51. 1,51. 1,50. 1,49. 100. 5,18. 3,83. 3,25. 2,92. 2,70. 2,54. 2,42. 2,32. 2,24. 2,18. 2,08. 2,00. 1,94. 1,89. 1,85. 1,81. 1,78. 1,76. 1,74. 1,71. 1,67. 1,64. 1,61. 1,59. 1,57. 1,56. 1,54. 1,53. 1,52. 1,51. 1,50. 1,50. 1,49. 1,48. Au. ris. 2,23. xa. m. 2. à. 1. to. n m.

(5)

Références

Documents relatifs

Effectuer le test du coefficient de corr´ elation lin´ eaire de Student au seuil de signification de 5 %.. Retrouver le r´ esultat de la question 4 en effectuant un test de Fisher

Montrez que les variables aléatoires Y i suivent une loi expo- nentielle de paramètre

L’écart-type exprime la dispersion des valeurs ou encore l’étalement de la fonction de densité : plus sa valeur est élevée, plus la densité est étalée ; à l’inverse,

[r]

• On dit qu’une v.a.r. X à densité admet une infinité de densités : une densité f X de X sera toujours une densité de X si on modifie sa valeur sur un nombre fini de points,

− savoir déterminer la loi (c’est-à-dire la fonction de répartition) d’une transformée Y (pas forcément affine) d’une v.a.r. ., afin de pouvoir mettre en place aisément

Déterminer alors les variations de f sur I, et les résumer dans un tableau en y ajoutant les limites

[r]