Chapter 14 Nonparametric Statistics Copyright 2013 Pearson Education

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

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

Table SIA 14. 1 14 - 2 Copyright © 2013 Pearson Education, Inc. .

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

14. 1 Introduction: Distribution-Free Tests Copyright © 2013 Pearson Education, Inc. All rights reserved

14. 1 Introduction: Distribution-Free Tests Copyright © 2013 Pearson Education, Inc. All rights reserved

Figure 14. 1 Some nonnormal distributions for which the t-statistic is invalid 14 -

Figure 14. 1 Some nonnormal distributions for which the t-statistic is invalid 14 - 4 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

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

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

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

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

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

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

14. 2 Single-Population Inferences Copyright © 2013 Pearson Education, Inc. All rights reserved

14. 2 Single-Population Inferences Copyright © 2013 Pearson Education, Inc. All rights reserved

Figure 14. 2 Location of the population medium, h 14 - 9 Copyright ©

Figure 14. 2 Location of the population medium, h 14 - 9 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

Table 14. 1 14 - 10 Copyright © 2013 Pearson Education, Inc. . All

Table 14. 1 14 - 10 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

Figure 14. 3 Minitab printout of sign test 14 - 11 Copyright © 2013

Figure 14. 3 Minitab printout of sign test 14 - 11 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

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

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

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

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

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

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

Figure SIA 14. 1 MINITAB sign test for MTBE data 14 - 15 Copyright

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

14. 3 Comparing Two Populations: Independent Samples Copyright © 2013 Pearson Education, Inc. All

14. 3 Comparing Two Populations: Independent Samples Copyright © 2013 Pearson Education, Inc. All rights reserved

Figure 14. 4 Typical probability distribution of reaction times 14 - 17 Copyright ©

Figure 14. 4 Typical probability distribution of reaction times 14 - 17 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

Table 14. 2 14 - 18 Copyright © 2013 Pearson Education, Inc. . All

Table 14. 2 14 - 18 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

Table 14. 3 14 - 19 Copyright © 2013 Pearson Education, Inc. . All

Table 14. 3 14 - 19 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

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

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

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

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

Figure 14. 5 Alternative hypothesis and rejection region for Example 14. 2 14 -

Figure 14. 5 Alternative hypothesis and rejection region for Example 14. 2 14 - 22 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

Figure 14. 6 SAS printout for Example 14. 2 14 - 23 Copyright ©

Figure 14. 6 SAS printout for Example 14. 2 14 - 23 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

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

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

Figure SIA 14. 2 SAS rank sum test for comparing public and private wells

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

Figure SIA 14. 3 SAS rank sum test for comparing bedrock and unconsolidated aquifers

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

14. 4 Comparing Two Populations: Paired Difference Experiment Copyright © 2013 Pearson Education, Inc.

14. 4 Comparing Two Populations: Paired Difference Experiment Copyright © 2013 Pearson Education, Inc. All rights reserved

Table 14. 4 14 - 28 Copyright © 2013 Pearson Education, Inc. . All

Table 14. 4 14 - 28 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

Table 14. 5 14 - 29 Copyright © 2013 Pearson Education, Inc. . All

Table 14. 5 14 - 29 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

Figure 14. 7 Rejection region for paired difference experiment 14 - 30 Copyright ©

Figure 14. 7 Rejection region for paired difference experiment 14 - 30 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

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

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

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

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

Table 14. 6 14 - 33 Copyright © 2013 Pearson Education, Inc. . All

Table 14. 6 14 - 33 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

Figure 14. 8 The alternative hypothesis for Example 14. 3 14 - 34 Copyright

Figure 14. 8 The alternative hypothesis for Example 14. 3 14 - 34 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

Figure 14. 9 SAS printout for Example 14. 3 14 - 35 Copyright ©

Figure 14. 9 SAS printout for Example 14. 3 14 - 35 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

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

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

14. 5 Comparing Three or More Populations: Completely Randomized Design Copyright © 2013 Pearson

14. 5 Comparing Three or More Populations: Completely Randomized Design Copyright © 2013 Pearson Education, Inc. All rights reserved

Table 14. 7 14 - 38 Copyright © 2013 Pearson Education, Inc. . All

Table 14. 7 14 - 38 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

Figure 14. 10 Rejection region for the comparison of three probability distributions 14 -

Figure 14. 10 Rejection region for the comparison of three probability distributions 14 - 39 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

Figure 14. 11 MINITAB Kruskal-Wallis test comparing three hospitals 14 - 40 Copyright ©

Figure 14. 11 MINITAB Kruskal-Wallis test comparing three hospitals 14 - 40 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

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

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

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

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

Figure SIA 14. 4 SAS Kruskal-Wallis test comparing MTBE levels of wells 14 -

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

14. 6 Comparing Three or More Populations: Randomizes Block Design Copyright © 2013 Pearson

14. 6 Comparing Three or More Populations: Randomizes Block Design Copyright © 2013 Pearson Education, Inc. All rights reserved

Table 14. 8 14 - 45 Copyright © 2013 Pearson Education, Inc. . All

Table 14. 8 14 - 45 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

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

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

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

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

Figure 14. 12 Rejection region for reaction time example 14 - 48 Copyright ©

Figure 14. 12 Rejection region for reaction time example 14 - 48 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

Figure 14. 13 SPSS Friedman test printout 14 - 49 Copyright © 2013 Pearson

Figure 14. 13 SPSS Friedman test printout 14 - 49 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

14. 7 Rank Correlation Copyright © 2013 Pearson Education, Inc. All rights reserved

14. 7 Rank Correlation Copyright © 2013 Pearson Education, Inc. All rights reserved

Table 14. 9 14 - 51 Copyright © 2013 Pearson Education, Inc. . All

Table 14. 9 14 - 51 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

Table 14. 10 14 - 52 Copyright © 2013 Pearson Education, Inc. . All

Table 14. 10 14 - 52 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

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

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

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

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

Table 14. 11 14 - 55 Copyright © 2013 Pearson Education, Inc. . All

Table 14. 11 14 - 55 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

Figure 14. 14 SAS Spearman correlation printout for Example 14. 6 14 - 56

Figure 14. 14 SAS Spearman correlation printout for Example 14. 6 14 - 56 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

Table 14. 12 14 - 57 Copyright © 2013 Pearson Education, Inc. . All

Table 14. 12 14 - 57 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

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

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

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

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

Figure SIA 14. 5 a SPSS Spearman rank correlation test: MTBE and p. H

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

Figure SIA 14. 5 b SPSS Spearman rank correlation test: MTBE and dissolved oxygen

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

Figure SIA 14. 5 c SPSS Spearman rank correlation test: MTBE and industry percentage

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

Figure SIA 14. 5 d SPSS Spearman rank correlation test: MTBE and depth 14

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

Figure SIA 14. 5 e SPSS Spearman rank correlation test: MTBE and distance 14

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