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Page 1: Statistical inference formulasheet

Statistical Inference

1. P(X = x) = nCx px (1 – p)n – x 2. P(X=x) = e

3. P(X = x) = x x . . . .

4. λ = np 5. Z =

6. P = 7. Z =

8. t = 9. σ2 = -

10. s = 11. S.E(x) =

12. Var(x) = – 13. μ =

14. x = 15. x ± Zα/2

16. ± t 17. W1- α = - Wα

18. M1-α = n1(n1 + n2 +1) – M α 19. E = Zα/2

20. Z = 21. t =

22. Sp = 23. t =

24. 25. ( + Z

26. ( + t 27. + Z

28. t = 29. Sd =

30. d = 31. d.f = n – 1

32. d.f = n1 + n2 – 2 33. d.f = (r – 1) (c – 1)

Page 2: Statistical inference formulasheet

34. Z = 35. Z =

36. PP = 37. X2 = x s2

38. F = 39. (p1–p2)+Z

40. X2 = 41. E =

42. d.f = (k - 1, n - k) 43. RP =

44. Sxx = 45. Sxy =

46. Syy = 47. b1 =

48. b0 = - b1 49. r = Sxy /

50. t = 51. Se =

52. t = 53. β1 ± t

54. SST = 55. SSE = SST – SSTR

56. SSTR = ∑ – 57. r12 =

58. MSE = 59. MSTR =

60. F-Ratio = 61. R1.23 =

62. r12 = 63. SSR =

64. SST = Syy 65. d.f = (n1 – 1) , (n2 – 1)

66. 67. F =

68. SSR = b0Σy + b1 Σx1y + b2 Σx2y -

69. rs = 1 -

70. H = ×Σ - 3(n + 1) 71. X ± A2 R

72. C ± 3 Sc 73. Sc =

74. P ± 3 75. UCLR = D4 R

76. LCLR = D3 R 77. P(X=x) = n-1Cx-1 × px × (1 – p)n-x

Page 3: Statistical inference formulasheet

78. P = 79. σ =