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Contents
Chapter 1 Introduction
1.1 Sample questions in foreign language education
1.2 Basic terms
1.3 Scales of measurement
1.4 Types of data .
1.5 Descriptive statistics and inferential statistics
1.6 Summary
Chapter 2 Examining data
2. 1 Frequency distributions
2.2 Measures of central tendency
2.3 Measures of variability
2.4 Using the SPSS software program to manage and examine a dataset
2.5 Summary
Chapter 3 Z scores and the normal distribution
3.1 The z score
3.2 Characteristics of z scores
3.3 Computation of z scores with SPSS
3.4 Empirical and theoretical frequency distributions
3.5 The normal distribution table
3.6 Summary
Chapter 4 Sampling distributions and confidence intervals
4.1 Sampling methods
4.2 The sampling distribution
4.3 Central Limit Theorem
4.4 Calculating the standard error of the sampling distribution of means
4.5 Calculating the proportion of sample means above or below a certain point
4.6 Confidence intervals about a population mean
4.7 The t distribution
4.8 Summary
Chapter 5 Hypothesis testing: One -sample designs
5.1 Procedure of the one -sample t test
5.2 The meaning of p
5.3 Effect size index
5.4 Use the SPSS software program to run the one-sample t test
5.5 Summary
Chapter 6 Hypothesis testing: Two-samples designs
6.1 Independent-samples designs and paired-samples designs
6.2 The t test for independent-samples designs
6.3 Assumptions of the independent-samples t test
6.4 Using SPSS to run the t-test for independent-samples designs
6.5 Calculation of effect sizes for independent-samples designs
6.6 The t test for related-samples designs
6.7 Using SPSS to run the t-test for related-samples designs
6.8 Calculation of effect sizes for two related-samples designs
6.9 Summary
Chapter 7 Correlation and regression
7.1 Correlation
7.2 The correlation coefficient
7.3 Effect sizes of correlation coefficients
7.4 Assumptions for the Pearson product-moment correlation (r)
7.5 Using SPSS to compute a Pearson correlation(r)
7.6 Using correlation coefficients to calculate coefficient of determination
7.7 Other kinds of correlation coefficients
7.8 Bivariate regression
7.9 A least squares regression line
7. 10Using SPSS for bivariate regression analysis
7.11 Multiple regression
7. 12 Using SPSS for multiple regression analysis
7.13 Summary
Chapter 8 Chi square tests
8.1 The chi square distribution
8.2 The use of chi square tests
8.3 Compute chi square values and examine the effect size
8.4 Chi square effect size coefficients
8.5 Using SPSS to conduct chi square tests of independence
8.6 Using SPSS to conduct chi square tests of goodness-of-fit
8.7 Summary
Chapter 9 One way analysis of variance ( ANOVA )
9.1 The rationale of ANOVA
9.2 The F distribution
9.3 Using SPSS to conduct ANOVA
9.4 Post hoe multiple comparison tests
9.5 Effect size indexes
9.6 Summary
Chapter 10 Power analysis
10. 1 Power and types of power analyses
10.2Functions of power analyses
10.3 Ways to improve power
10.4 Using SPSS to conduct a post hoe power analysis
10.5 Summary
Chapter 11 Two nonparametric tests
11.1 Comparison of nonparametric to parametric tests
11.2 The Mann-Whitney U test ....
11.3 Using SPSS to conduct Mann-Whitney U tests
11.4 The Wilcoxon matched-pairs signed-ranks test ......
11.5Using SPSS to conduct Wilcoxon matched-pairs signed-ranks tests
11.6 Summary
Chapter 12 Selecting appropriate statistical methods
12. 1 Selection of appropriate descriptive statistical methods
12.2 Selection of appropriate inferential statistical methods
Appendix A Answers to exercises
Appendix B |Quick reference guide to frequently asked questions
Appendix C Glossary
Appendix D The normal distribution table
Appendix E The T distribution table “
Appendix F Critical values for the Fm statistic
Appendix G Critical values for Pearson product-moment correlation coefficients, r*
Appendix H Chi square distribution table'
Appendix I The F distribution table °
Appendix J Power tables
Appendix K Sample size tables
Appendix L Critical values for the Mann-Whitney U test"
Appendix M Critical values for the Wilcoxon matched-pairs signed-ranks T test"
References
