copyright © 2013 pearson education, inc. all rights reserved chapter 14 nonparametric statistics

Copyright © 2013 Pearson Education, Inc. All rights reserved

Chapter 14

Nonparametric Statistics

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

Table SIA14.1


14.1

Introduction: Distribution-Free Tests


Figure 14.1 Some nonnormal distributions for which the t-statistic is invalid


Definition


14.2

Single-Population Inferences


Figure 14.2 Location of the population medium,


Table 14.1


Figure 14.3 Minitab printout of sign test


Procedure


Definition


Procedure


Figure SIA14.1 MINITAB sign test for MTBE data


14.3

Comparing Two Populations: Independent Samples


Figure 14.4 Typical probability distribution of reaction times


Table 14.2


Table 14.3


Procedure


Definition


Figure 14.5 Alternative hypothesis and rejection region for Example 14.2


Figure 14.6 SAS printout for Example 14.2


Procedure


Figure SIA14.2 SAS rank sum test for comparing public and private wells


Figure SIA14.3 SAS rank sum test for comparing bedrock and unconsolidated aquifers


14.4

Comparing Two Populations: Paired Difference Experiment


Table 14.4


Table 14.5


Figure 14.7 Rejection region for paired difference experiment


Procedure


Definition


Table 14.6


Figure 14.8 The alternative hypothesis for Example 14.3


Figure 14.9 SAS printout for Example 14.3


Procedure


14.5

Comparing Three or More Populations: Completely Randomized Design


Table 14.7


Figure 14.10 Rejection region for the comparison of three probability distributions


Figure 14.11 MINITAB Kruskal-Wallis test comparing three hospitals


Procedure


Definition


Figure SIA14.4 SAS Kruskal-Wallis test comparing MTBE levels of wells


Comparing Three or More Populations: Randomizes Block Design

14.6


Table 14.8


Procedure


Definition


Figure 14.12 Rejection region for reaction time example


Figure 14.13 SPSS Friedman test printout


Rank Correlation

14.7


Table 14.9


Table 14.10


Procedure


Formula


Table 14.11


Figure 14.14 SAS Spearman correlation printout for Example 14.6


Table 14.12


Procedure


Definition


Figure SIA14.5a SPSS Spearman rank correlation test: MTBE and pH level


Figure SIA14.5b SPSS Spearman rank correlation test: MTBE and dissolved oxygen


Figure SIA14.5c SPSS Spearman rank correlation test: MTBE and industry percentage


Figure SIA14.5d SPSS Spearman rank correlation test: MTBE and depth


Figure SIA14.5e SPSS Spearman rank correlation test: MTBE and distance

copyright © 2013 pearson education, inc. all rights reserved chapter 14 nonparametric statistics

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