Parametric test _ t test and ANOVA _ Biostatistics and Research Methodology.pptx

Parametric test with t test and ANOVA on the bases of Biostatistics subject. The slide contains definition of particular test with their sums. Comparison of tests and some terminologies used in hypothesis testing. Useful for Pharmacy students.

1. Parametric test

2. used to evaluate hypotheses Types of Parametric test t-test Z-test F-test Analysis of variance (ANOVA) Parametric tests assume a normal distribution of values 2 Parametric test 2022

3. 3 T test 2022

4. 4 T test 3 types of t-test 2022

5. 5 T test 2022

6. 6 Two-tailed One-tailed  For α =0.05 For α =0.05 left-tailed right-tailed T test 2022

7. Case I After A large amount of data was collected for the content of drug in the tablet formulation during a period of several years , The manufacturing process showed an average potency of 5.01 mg and a standard deviation of 0.11, both values considered to be equal to the true process parameters . A new batch was made with a modification of the usual manufacturing procedure. And assay of 20 tablets give bellow.. 7 One-sample test 2022

8. 8 One-sample test 2022

9. 2. The null hypothesis and alternative hypothesis two sided hypothesis testing Alternative hypothesis suggest that the average drug potency of the new batch can conceivably be smaller as well as greater than the historical process average of 5.01 mg. 9 One-sample test 2022

10. 3. The level of significance is specified 10 Z ≤ -1.96 or Z ≥ 1.96 then reject H One-sample test 2022

11. Selection of sample Experiment trials 6. After the experiment is completed , Statistical calculations are 11 One-sample test 2022

12. One-sample test, variance unknown . two-sided test 12 One-sample test 2022

13. 13 One-sample test 2022

14. 14 One-sample test 2022

15. Case II A pharmaceutical company places A new compound on an “antihypertensive” screening. Experience has shown that a blood pressure reduction of more than 15 mm Hg in hypertensive animals. since such testing is expensive, the researchers wish to be reasonably sure that statistically the compound truly reduces the blood pressure by more than 15 mm Hg before testing is continued. The level of significance of 10% was chosen 15 One-sample test 2022

16. 16 One-sample test 2022

17. 17 One-sample test 2022

18. What difference (reduction) would have been needed to show a significant reduction in this clinical trial ? 18 One-sample test 2022

19. 19 Unpaired sample test 2022

20. 20 Unpaired sample test 2022

21. Statement of hypothesis 21 Unpaired sample test 2022

22. 22 Unpaired sample test 2022

23. 23 Unpaired sample test 2022

24. 24 Unpaired sample test 2022

25. 25 Unpaired sample test 2022

26. 26 Unpaired sample test 2022

27. 27 Unpaired sample test 2022

28. 28 Unpaired sample test 2022

29. Synonym: 29 Unpaired sample test 2022

30. Paired sample test 30 2022

31. 31 Paired sample test 2022

32. 32 Paired sample test 2022

33. 33 Paired sample test 2022

34. EXCERSIZE A certain stimulant drug is administered to each of 12 patients resulted in the following change in blood pressure 5, 2, 8, -1, 3, 0, -2, 1, 5, 0, 4, 6 Can it be concluded that the stimulant will in general be accompanied by an increase in blood pressure with (  = 0.05 ) 34 Paired sample test 2022

35. 35 Paired sample test 2022

36. 36 Paired sample test 2022

37. 37 Paired sample test 2022

38. Full form : An alysis o f va riance Defination : ANOVA is a statistical technique specially designed to test whether the means of more than 2 quantitative populations are equal. 38 ANOVA 2022

39. 39 ANOVA 2022

40. 40 ONE-WAY ANOVA 2022

41. 41 ONE-WAY ANOVA 2022

42. 42 ONE-WAY ANOVA 2022

43. 43 ONE-WAY ANOVA 2022

44. Calculation steps 44 ONE-WAY ANOVA 2022

45. 45 ONE-WAY ANOVA Calculation steps 2022

46. 46 ONE-WAY ANOVA Calculation steps 2022

47. 47 ONE-WAY ANOVA Calculation steps 2022

48. 48 ONE-WAY ANOVA Calculation steps 2022

49. 49 ONE-WAY ANOVA 2022

50. 50 ONE-WAY ANOVA 2022

51. statement of hypothesis 51 ONE-WAY ANOVA 2022

52. 52 ONE-WAY ANOVA 2022

53. 53 ONE-WAY ANOVA 2022

54. 54 ONE-WAY ANOVA 2022

55. ANOVA table 55 ONE-WAY ANOVA 2022

56. 56 LSD test 2022

57. 57 LSD test 2022

58. Finding LSD in EXCERSIZE 2 t = 2.306 S 2 = 4 58 LSD test 2022

59. 59 LSD test 2022

60. 60 TWO-WAY ANOVA 2022

61. 61 TWO-WAY ANOVA 2022

62. 62 TWO-WAY ANOVA 2022

63. 63 TWO-WAY ANOVA 2022

64. 64 TWO-WAY ANOVA 2022

65. 65 TWO-WAY ANOVA 2022

66. 66 TWO-WAY ANOVA 2022

67. 67 ANOVA table TWO-WAY ANOVA 2022

68. 68 TWO-WAY ANOVA 2022

69. 69 TWO-WAY ANOVA 2022

70. 70 TWO-WAY ANOVA 2022

71. 71 TWO-WAY ANOVA 2022

72. 72 ONE-WAY vs TWO-WAY 2022

73. 73 Study questions 2022

74. 74 Study questions 2022

75. 75 Study questions 2022

76. 76 Study questions 2022

77. 77 Study questions Ans. 2022

78. 78 Study questions Ans. 2022

79. 79 Study questions Ans. 2022

80. 80 Study questions Ans. 2022

81. End Reference: Ph’ceutical statistics- Practical and clinical applications –Sanford Bolton Fundamental of Statistics –S.C. Guptha Net Source of the topic