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by Dale I. Foreman, Gregory W. Corder
Nonparametric Statistics: A Step-by-Step Approach, 2nd Edition
Title page
Copyright page
Preface
List of Variables
CHAPTER 1: Nonparametric Statistics: An Introduction
1.1 Objectives
1.2 Introduction
1.3 The Nonparametric Statistical Procedures Presented in this Book
1.4 Ranking Data
1.5 Ranking Data with Tied Values
1.6 Counts of Observations
1.7 Summary
1.8 Practice Questions
1.9 Solutions to Practice Questions
Notes
CHAPTER 2: Testing Data for Normality
2.1 Objectives
2.2 Introduction
2.3 Describing Data and the Normal Distribution
2.4 Computing and Testing Kurtosis and Skewness for Sample Normality
2.5 Computing the Kolmogorov–Smirnov One-Sample Test
2.6 Summary
2.7 Practice Questions
2.8 Solutions to Practice Questions
CHAPTER 3: Comparing Two Related Samples: The Wilcoxon Signed Rank and the Sign Test
3.1 Objectives
3.2 Introduction
3.3 Computing the Wilcoxon Signed Rank Test Statistic
3.4 Computing the Sign Test
3.5 Performing the Wilcoxon Signed Rank Test and the Sign Test Using SPSS
3.6 Statistical Power
3.7 Examples from the Literature
3.8 Summary
3.9 Practice Questions
3.10 Solutions to Practice Questions
CHAPTER 4: Comparing Two Unrelated Samples: The Mann−Whitney U-Test and the Kolmogorov−Smirnov Two-Sample Test
4.1 Objectives
4.2 Introduction
4.3 Computing the Mann−Whitney U-Test Statistic
4.4 Computing the Kolmogorov–Smirnov Two-Sample Test Statistic
4.5 Performing the Mann–Whitney U-Test and the Kolmogorov–Smirnov Two-Sample Test Using SPSS-Test and the Kolmogorov–Smirnov Two-Sample Test Using SPSS
4.6 Examples from the Literature
4.7 Summary
4.8 Practice Questions
4.9 Solutions to Practice Questions
CHAPTER 5: Comparing More Than Two Related Samples: The Friedman Test
5.1 Objectives
5.2 Introduction
5.3 Computing the Friedman Test Statistic
5.4 Examples from the Literature
5.5 Summary
5.6 Practice Questions
5.7 Solutions to Practice Questions
CHAPTER 6: Comparing More Than Two Unrelated Samples: The Kruskal–Wallis H-Test
6.1 Objectives
6.2 Introduction
6.3 Computing The Kruskal–Wallis H-Test Statistic
6.4 Examples from the Literature
6.5 Summary
6.6 Practice Questions
6.7 Solutions to Practice Questions
CHAPTER 7: Comparing Variables of Ordinal or Dichotomous Scales: Spearman Rank-Order, Point-Biserial, and Biserial Correlations
7.1 Objectives
7.2 Introduction
7.3 The Correlation Coefficient
7.4 Computing the Spearman Rank-Order Correlation Coefficient
7.5 Computing the Point-Biserial and Biserial Correlation Coefficients
7.6 Examples from the Literature
7.7 Summary
7.8 Practice Questions
7.9 Solutions to Practice Questions
CHAPTER 8: Tests for Nominal Scale Data: Chi-Square and Fisher Exact Tests
8.1 Objectives
8.2 Introduction
8.3 The χ2 Goodness-of-Fit Test
8.4 The χ2 Test for Independence
8.5 The Fisher Exact Test
8.6 Examples from the Literature
8.7 Summary
8.8 Practice Questions
8.9 Solutions to Practice Questions
CHAPTER 9: Test for Randomness: The Runs Test
9.1 Objectives
9.2 Introduction
9.3 The Runs Test for Randomness
9.4 Examples from the Literature
9.5 Summary
9.6 Practice Questions
9.7 Solutions to Practice Questions
APPENDIX A: SPSS at a Glance
A.1 Introduction
A.2 Opening SPSS
A.3 Inputting Data
A.4 Analyzing Data
A.5 The SPSS Output
APPENDIX B: Critical Value Tables
References
Index
End User License Agreement
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References
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End User License Agreement
Index
Alpha (
α
),
see
Type I error
Alternate hypothesis
Beta (
β
),
see
Type II error
Biserial correlation
small samples
using SPSS
Bonferroni correction procedure
Categorical data
Chi-square distribution table
Chi-square goodness-of-fit test
category frequencies equal
category frequencies not equal
computing
using SPSS
Chi-square test of independence
computing
using SPSS
Contingency tables, 2 × 2
Correlation coefficient
biserial
of a dichotomous variable and a rank-order variable
of a dichotomous variable and an interval scale variable
point-biserial
Spearman rank-order
Counts
Cramer's
V
Critical value
tables
Cumulative frequency distributions
Dichotomous scale
continuous vs. discrete
Divergence
Effect size
Cramer's
V
phi coefficient
Factorials, table
Fisher exact test
computing
using SPSS
Friedman test
computing
critical values table for
large sample approximation
post hoc test for
sample contrasts for
small samples with ties
small samples without ties
using SPSS
Histogram
Homogeneity of variance
Interval scale
Kolmogorov–Smirnov one-sample test
computing
using SPSS
Kolmogorov–Smirnov two-sample test
computing
using SPSS
Kruskal–Wallis
H
test
computing
correction for ties
critical values table for
large sample approximation
post hoc test for
sample contrasts for
small data samples
using SPSS
Kurtosis
computing
leptokurtosis
platykurtosis
standard error of
using SPSS
Leptokurtosis
Likert scale
Mann–Whitney
U
test
computing
confidence interval for
critical values table for
large sample approximation
small samples
using SPSS
Mean
Measurement scale
Median
Mode
Nominal data
Nonparametric tests, comparison with parametric tests
Normal curve
properties
Normal distribution
table
Normality
assumptions
measures
Null hypothesis
Observed frequency distribution
Obtained value
Ordinal scale
Ordinate of the normal curve
computing
table
Outliers
Parametric tests
comparison with nonparametric tests
Pearson product-moment correlation
critical values table for
Phi coefficient
Platykurtosis
Point-biserial correlation
large samples approximation
small data samples
using SPSS
Post hoc comparisons
Power,
see
Statistical power
Randomness,
see
Runs test
Ranking data
with tied values
Rank-order scale
Ratio scale
Relative empirical frequency distribution
Relative observed frequency distribution
Runs test
computing
critical values table for
large sample approximation
referencing a custom value
referencing a custom value using SPSS
small data samples
using SPSS
Sample size
Sample contrasts
Scale,
see
Measurement scale
Sign test
computing
large sample approximation
small samples
using SPSS
Skewness
computing
standard error of
using SPSS
Spearman rank-order correlation
computing
computing Student's
t
computing
z
critical values table for
small data sample with ties
small data sample without ties
using SPSS
SPSS
Standard deviation
Standard error
of kurtosis
of skewness
Statistical power
Symmetry
Transformation
Type I error
Type II error
Variance
homogeneity
Wald–Wolfowitz test
Wilcoxon rank sum test
Wilcoxon signed ranks test
computing
confidence interval for
critical values table for
large sample approximation
small samples
using SPSS
Wilcoxon
W
Yates's continuity correction
z
-score
table
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