Statistics_TestingHypothesis presentation

Statistical Experimental Design Basics

1. Statistical Methods in Experimental Design Course

2. Contents of the week Testing Hypotheses

3. Introductory example A manufacturer of emergency equipment asserts that a respirator that it makes delivers pure air for 75 minutes on average. A government regulatory agency is charged with testing such claims, in this case to verify that the average time is not less than 75 minutes. To do so it would select a random sample of respirators, compute the mean time that they deliver pure air, and compare that mean to the asserted time 75 minutes.

4. Testıng Hypotheses

5. Testıng Hypotheses 8.1: The Elements of Hypothesis Testing 8.2: Large Sample Tests for a Population Mean 8.3: The Observed Significance of a Test 8.4: Small Sample Tests for a Population Mean 8.5: Large Sample Tests for a Population Proportion

6. LearnIng ObjectIves

7. 8.1 elements of Hypothesıs testıng Types of hypotheses A  hypothesis  about the value of a population parameter is an assertion about its value. As in the introductory example we will be concerned with testing the truth of two competing hypotheses, only one of which can be true.

8. Types of hypotheses

9. HYPOTHESIS TESTING

10. Hypothesıs testıng

11. The logıc of hypothesıs testıng

12. The logıc of hypothesıs testıng

13. The logıc of hypothesıs testıng

14. THE rejectıon regıon

15. THE rejectıon regıon

16. THE rejectıon regıon

17. EXAMPLE

18. EXAMPLE  

19. The decısıon procedure

20. Two Types of Errors

21. Two Types of Errors

22. StandardIzIng the Test  StatIstIc

23. When the test statıstıc has student’s t- dıstrıbutıon When the test statıstıc has the standard normal dıstrıbutıon

24. Systematic Hypothesis Testing  Procedure: Critical Value Approach

25. 8.2 Large Sample Tests for a Population Mea N Z =

26. Standardized Test Statistics for Large Sample Hypothesis Tests Concerning a Single Population Mean

27. Standardized Test Statistics for Large Sample Hypothesis Tests Concerning a Single Population Mean

28. example

29. Figure : Rejection Region   and Test  Statistic   for " Example   8.2

30. Key TAKEAWAY

31. 8.3 The Observed Significance of a Test

32. Computational Definition of the Observed Significance of a Test of Hypotheses

33. The p-value Approach to Hypothesis Testing Procedure:

34. example

35. Test  Statistic   for " Example  8.3.2 "

36. FIgure 7.1.5

37. Key takeaway

38. 8.4 Small Sample Tests for a Population Mean

39. Standardized Test Statistics for Small Sample Hypothesis Tests Concerning a Single Population

40. Standardized Test Statistics for Small Sample Hypothesis Tests

41. example

42. solutıon

43. solutıon

44. Key takeaway