1. Copyright © 2013 Pearson Education, Inc. All rights reserved Chapter 14 Nonparametric Statistics

2. 14 - 2 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table SIA14.1

3. Copyright © 2013 Pearson Education, Inc. All rights reserved 14.1 Introduction: Distribution-Free Tests

4. 14 - 4 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 14.1 Some nonnormal distributions for which the t-statistic is invalid

5. 14 - 5 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

6. 14 - 6 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

7. 14 - 7 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

8. Copyright © 2013 Pearson Education, Inc. All rights reserved 14.2 Single-Population Inferences

9. 14 - 9 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 14.2 Location of the population medium, 

10. 14 - 10 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 14.1

11. 14 - 11 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 14.3 Minitab printout of sign test

12. 14 - 12 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

13. 14 - 13 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

14. 14 - 14 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

15. 14 - 15 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure SIA14.1 MINITAB sign test for MTBE data

16. Copyright © 2013 Pearson Education, Inc. All rights reserved 14.3 Comparing Two Populations: Independent Samples

17. 14 - 17 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 14.4 Typical probability distribution of reaction times

18. 14 - 18 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 14.2

19. 14 - 19 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 14.3

20. 14 - 20 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

21. 14 - 21 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

22. 14 - 22 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 14.5 Alternative hypothesis and rejection region for Example 14.2

23. 14 - 23 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 14.6 SAS printout for Example 14.2

24. 14 - 24 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

25. 14 - 25 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure SIA14.2 SAS rank sum test for comparing public and private wells

26. 14 - 26 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure SIA14.3 SAS rank sum test for comparing bedrock and unconsolidated aquifers

27. Copyright © 2013 Pearson Education, Inc. All rights reserved 14.4 Comparing Two Populations: Paired Difference Experiment

28. 14 - 28 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 14.4

29. 14 - 29 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 14.5

30. 14 - 30 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 14.7 Rejection region for paired difference experiment

31. 14 - 31 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

32. 14 - 32 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

33. 14 - 33 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 14.6

34. 14 - 34 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 14.8 The alternative hypothesis for Example 14.3

35. 14 - 35 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 14.9 SAS printout for Example 14.3

36. 14 - 36 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

37. Copyright © 2013 Pearson Education, Inc. All rights reserved 14.5 Comparing Three or More Populations: Completely Randomized Design

38. 14 - 38 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 14.7

39. 14 - 39 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 14.10 Rejection region for the comparison of three probability distributions

40. 14 - 40 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 14.11 MINITAB Kruskal-Wallis test comparing three hospitals

41. 14 - 41 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

42. 14 - 42 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

43. 14 - 43 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure SIA14.4 SAS Kruskal-Wallis test comparing MTBE levels of wells

44. Copyright © 2013 Pearson Education, Inc. All rights reserved Comparing Three or More Populations: Randomizes Block Design 14.6

45. 14 - 45 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 14.8

46. 14 - 46 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

47. 14 - 47 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

48. 14 - 48 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 14.12 Rejection region for reaction time example

49. 14 - 49 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 14.13 SPSS Friedman test printout

50. Copyright © 2013 Pearson Education, Inc. All rights reserved Rank Correlation 14.7

51. 14 - 51 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 14.9

52. 14 - 52 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 14.10

53. 14 - 53 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

54. 14 - 54 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Formula

55. 14 - 55 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 14.11

56. 14 - 56 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 14.14 SAS Spearman correlation printout for Example 14.6

57. 14 - 57 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 14.12

58. 14 - 58 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

59. 14 - 59 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

60. 14 - 60 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure SIA14.5a SPSS Spearman rank correlation test: MTBE and pH level

61. 14 - 61 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure SIA14.5b SPSS Spearman rank correlation test: MTBE and dissolved oxygen

62. 14 - 62 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure SIA14.5c SPSS Spearman rank correlation test: MTBE and industry percentage

63. 14 - 63 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure SIA14.5d SPSS Spearman rank correlation test: MTBE and depth

64. 14 - 64 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure SIA14.5e SPSS Spearman rank correlation test: MTBE and distance