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About This Book
Acknowledgements
Statistical Software Used in this Book
University of Saskatchewan: Software Access
Data Sets
1.1 Overview
1.2 Basic Definitions
1.3 Summation Convention
2.1 Frequency Tables
2.2 Plotting Frequency Data
2.3 SPSS Lesson 1: Getting Started with SPSS
3.1 Central Tendency: Mean, Median, Mode
3.2 Dispersion: Variance and Standard Deviation
3.3 z-score / z-transformation
3.4 SPSS Lesson 2: Combining variables and recoding
4.1 Probability
4.2 Binomial Distribution
4.3 SPSS Lesson 3: Combining variables - advanced
5.1 Discrete versus Continuous Distributions
5.2 **The Normal Distribution as a Limit of Binomial Distributions
5.3 Normal Distribution
6.1 Discrete Data Percentiles and Quartiles
6.2 Finding Outliers Using Quartiles
6.3 Box Plots
6.4 Robust Statistics
6.5 SPSS Lesson 4: Percentiles
7.1 Using the Normal Distribution to Approximate the Binomial Distribution
7.2 The Central Limit Theorem
8.1 Confidence Intervals Using the z-Distribution
8.2 **Bayesian Statistics
8.3 The t-Distributions
8.4 Proportions and Confidence Intervals for Proportions
8.5 Chi Squared Distribution
9.1 Hypothesis Testing Problem Solving Steps
9.2 z-Test for a Mean
9.3 t-Test for Means
9.4 z-Test for Proportions
9.5 Chi Squared Test for Variance or Standard Deviation
9.6 SPSS Lesson 5: Single Sample t-Test
10.1 Unpaired z-Test
10.2 Confidence Interval for Difference of Means (Large Samples)
10.3 Difference between Two Variances - the F Distributions
10.4 Unpaired or Independent Sample t-Test
10.5 Confidence Intervals for the Difference of Two Means
10.6 SPSS Lesson 6: Independent Sample t-Test
10.8 Paired t-Test
10.9 Confidence Intervals for Paired t-Tests
10.10 SPSS Lesson 7: Paired Sample t-Test
11.1 z-Test for Comparing Proportions
11.2 Confidence Interval for the Difference between Two Proportions
12.1 One-way ANOVA
12.2 Post hoc Comparisons
12.3 SPSS Lesson 8: One-way ANOVA
12.5 Two-way ANOVA
12.6 SPSS Lesson 9: Two-way ANOVA
12.8 Higher Factorial ANOVA
12.9 Between and Within Factors
12.10 *Contrasts
13.1 Power
14.1 Scatter Plots
14.2 Correlation
14.3 SPSS Lesson 10: Scatterplots and Correlation
14.5 Linear Regression
14.6 r² and the Standard Error of the Estimate of y′
14.7 Confidence Interval for y′ at a Given x
14.8 SPSS Lesson 11: Linear Regression
14.10 Multiple Regression
14.11 SPSS Lesson 12: Multiple Regression
15.1 Goodness of Fit
15.2 Contingency Tables
15.3 SPSS Lesson 13: Proportions, Goodness of Fit, and Contingency Tables
16.1 How to Rank Data
16.2 Median Sign Test
16.3 Paired Sample Sign Test
16.4 Two Sample Wilcoxon Rank Sum Test (Mann-Whitney U Test)
16.5 Paired Wilcoxon Signed Rank Test
16.6 Kruskal-Wallis Test (H Test)
16.7 Spearman Rank Correlation Coefficient
16.8 SPSS Lesson 14: Non-parametric Tests
16.10 Runs Test
17.1 Linear Algebra Basics
17.2 The General Linear Model (GLM) for Univariate Statistics
Appendix: Tables
12. ANOVA
To be completed in a later edition of this text.
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Introduction to Applied Statistics for Psychology Students by Gordon E. Sarty is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License, except where otherwise noted.