Essentials of Statistics for the Behavioral Sciences
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Thoroughly updated with the latest research, Gravetter/Wallnau/Forzano/Witnauer's ESSENTIALS OF STATISTICS FOR THE BEHAVIORAL SCIENCES, 10th Edition delivers straightforward instruction, unrivaled accuracy, hands-on learning tools and a wealth of real-world examples and illustrations. Giving extra focus to difficult topics, the authors take time to explain statistical procedures so that students can go beyond memorizing formulas and begin gaining a conceptual understanding.
Annað
- Höfundar: Frederick J Gravetter, Larry B. Wallnau, Lori-Ann B. Forzano, James E. Witnauer
- Útgáfa:10
- Útgáfudagur: 2020-01-01
- Engar takmarkanir á útprentun
- Engar takmarkanir afritun
- Format:ePub
- ISBN 13: 9798214343198
- Print ISBN: 9780357365298
Efnisyfirlit
- Cover Page
- Title Page
- Copyright Page
- Preface
- New to This Edition
- Matching the Text to Your Syllabus
- To the Student
- Ancillaries
- Acknowledgments
- About the Authors
- Chapter 1. Introduction to Statistics
- 1-1. Statistics and Behavioral Sciences
- Definitions of Statistics
- Populations and Samples
- Variables and Data
- Parameters and Statistics
- Descriptive and Inferential Statistical Methods
- Statistics in the Context of Research
- 1-2. Observations, Measurement, and Variables
- Observations and Measurements
- Constructs and Operational Definitions
- Discrete and Continuous Variables
- Scales of Measurement
- 1-3. Three Data Structures, Research Methods, and Statistics
- Data Structure 1. One Group with One or More Separate Variables Measured for Each Individual: Descriptive Research
- Relationships Between Variables
- Data Structure 2. One Group with Two Variables Measured for Each Individual: The Correlational Method
- Data Structure 3. Comparing Two (or More) Groups of Scores: Experimental and Nonexperimental Methods
- Experimental and Nonexperimental Methods
- The Experimental Method
- Nonexperimental Methods: Nonequivalent Groups and Pre-Post Studies
- 1-4. Statistical Notation
- Scores
- Summation Notation
- Summary
- Key Terms
- Focus on Problem Solving
- Demonstration 1.1
- SPSS®
- Problems
- 1-1. Statistics and Behavioral Sciences
- Chapter 2. Frequency Distributions
- 2-1. Frequency Distributions and Frequency Distribution Tables
- Frequency Distribution Tables
- Proportions and Percentages
- Percentile and Percentile Ranks
- Cumulative Frequency and Cumulative Percentage
- 2-2. Grouped Frequency Distribution Tables
- Real Limits and Frequency Distributions
- 2-3. Frequency Distribution Graphs
- Graphs for Interval or Ratio Data
- Graphs for Nominal or Ordinal Data
- Graphs for Population Distributions
- The Shape of a Frequency Distribution
- 2-4. Stem and Leaf Displays
- Comparing Stem and Leaf Displays with Grouped Frequency Distributions
- Summary
- Key Terms
- Focus on Problem Solving
- Demonstration 2.1
- Demonstration 2.2
- SPSS®
- Problems
- 2-1. Frequency Distributions and Frequency Distribution Tables
- Chapter 3. Central Tendency
- 3-1. Overview
- 3-2. The Mean
- Alternative Definitions for the Mean
- The Weighted Mean
- Computing the Mean from a Frequency Distribution Table
- Characteristics of the Mean
- 3-3. The Median
- Finding the Median for Simple Distributions
- Finding the Precise Median for a Continuous Variable
- A Formula for the Median with Continuous Variables
- The Median, the Mean, and the Middle
- 3-4. The Mode
- 3-5. Central Tendency and the Shape of the Distribution
- Symmetrical Distributions
- Skewed Distributions
- 3-6. Selecting a Measure of Central Tendency
- When to Use the Median
- When to Use the Mode
- Presenting Means and Medians in Graphs
- Summary
- Key Terms
- Focus on Problem Solving
- Demonstration 3.1
- SPSS®
- Problems
- Chapter 4. Variability
- 4-1. Introduction to Variability
- The Range
- The Interquartile Range
- 4-2. Defining Variance and Standard Deviation
- A Note about Rounding
- 4-3. Measuring Variance and Standard Deviation for a Population
- The Sum of Squared Deviations (SS)
- Final Formulas and Notation
- 4-4. Measuring Variance and Standard Deviation for a Sample
- The Problem with Sample Variability
- Formulas for Sample Variance and Standard Deviation
- Sample Variability and Degrees of Freedom
- 4-5. Sample Variance as an Unbiased Statistic
- Biased and Unbiased Statistics
- 4-6. More about Variance and Standard Deviation
- Presenting the Mean and Standard Deviation in a Frequency Distribution Graph
- Transformations of Scale
- Standard Deviation and Descriptive Statistics
- Variance and Inferential Statistics
- Summary
- Key Terms
- Focus on Problem Solving
- Demonstration 4.1
- SPSS®
- Problems
- 4-1. Introduction to Variability
- Chapter 5. z-Scores: Location of Scores and Standardized Distributions
- 5-1. Introduction
- z-Scores and Locations in a Distribution
- The z-Score Formula for a Population
- Determining a Raw Score (X) from a z-Score
- Computing z-Scores for Samples
- 5-3. Other Relationships between z, X, the Mean, and the Standard Deviation
- 5-4. Using z-Scores to Standardize a Distribution
- Population Distributions
- Sample Distributions
- Using z-Scores for Making Comparisons
- 5-5. Other Standardized Distributions Based on z-Scores
- Transforming z-Scores to a Distribution with a Predetermined Mean and Standard Deviation
- 5-6. Looking Ahead to Inferential Statistics
- Summary
- Key Terms
- Focus on Problem Solving
- Demonstration 5.1
- Demonstration 5.2
- SPSS®
- Problems
- Chapter 6. Probability
- 6-1. Introduction to Probability
- Defining Probability
- Random Sampling
- Probability and Frequency Distributions
- 6-2. Probability and the Normal Distribution
- The Unit Normal Table
- Probabilities, Proportions, and z-Scores
- 6-3. Probabilities and Proportions for Scores from a Normal Distribution
- Finding Proportions/Probabilities Located between Two Scores
- 6-4. Percentiles and Percentile Ranks
- Finding Percentiles
- Quartiles
- 6-5. Looking Ahead to Inferential Statistics
- Summary
- Key Terms
- Focus on Problem Solving
- Demonstration 6.1
- SPSS®
- Problems
- 6-1. Introduction to Probability
- Chapter 7. Probability and Samples: The Distribution of Sample Means
- 7-1. Samples, Populations, and the Distribution of Sample Means
- The Distribution of Sample Means
- Characteristics of the Distribution of Sample Means
- 7-2. Shape, Central Tendency, and Variability for the Distribution of Sample Means
- The Central Limit Theorem
- The Shape of the Distribution of Sample Means
- The Mean of the Distribution of Sample Means: The Expected Value of M
- The Standard Error of M
- Three Different Distributions
- 7-3. z-Scores and Probability for Sample Means
- A z-Score for Sample Means
- 7-4. More about Standard Error
- Sampling Error and Standard Error
- 7-5. Looking Ahead to Inferential Statistics
- Summary
- Key Terms
- Focus on Problem Solving
- Demonstration 7.1
- SPSS®
- Problems
- 7-1. Samples, Populations, and the Distribution of Sample Means
- Chapter 8. Introduction to Hypothesis Testing
- 8-1. The Logic of Hypothesis Testing
- The Elements of a Hypothesis Test
- The Four Steps of a Hypothesis Test
- A Closer Look at the z-Score Statistic
- 8-2. Uncertainty and Errors in Hypothesis Testing
- Type I Errors
- Type II Errors
- Selecting an Alpha Level
- 8-3. More about Hypothesis Tests
- A Summary of the Hypothesis Test
- Factors That Influence a Hypothesis Test
- Assumptions for Hypothesis Tests with z-Scores
- 8-4. Directional (One-Tailed) Hypothesis Tests
- The Hypotheses for a Directional Test
- The Critical Region for Directional Tests
- Comparison of One-Tailed versus Two-Tailed Tests
- 8-5. Concerns about Hypothesis Testing: Measuring Effect Size
- Measuring Effect Size
- 8-6. Statistical Power
- Calculating Power
- Power and Sample Size
- Power and Effect Size
- Another Look at Sample Size and Effect Size
- Other Factors That Affect Power
- A Note on the Direction of the Treatment Effect
- Summary
- Key Terms
- Focus on Problem Solving
- Demonstration 8.1
- Demonstration 8.2
- Demonstration 8.3
- SPSS®
- Problems
- 8-1. The Logic of Hypothesis Testing
- Chapter 9. Introduction to the t Statistic
- 9-1. The t Statistic: An Alternative to z
- The Problem with z-Scores
- Introducing the t Statistic
- Degrees of Freedom and the t Statistic
- The t Distribution
- The Shape of the t Distribution
- Determining Proportions and Probabilities for t Distributions
- 9-2. Hypothesis Tests with the t Statistic
- Using the t Statistic for Hypothesis Testing
- Hypothesis Testing Example
- Assumptions of the t Test
- The Influence of Sample Size and Sample Variance
- 9-3. Measuring Effect Size for the t Statistic
- Estimated Cohen’s d
- Measuring the Percentage of Variance Explained, r 2
- Confidence Intervals for Estimating μ
- Constructing a Confidence Interval
- Factors Affecting the Width of a Confidence Interval
- 9-4. Directional Hypotheses and One-Tailed Tests
- The Critical Region for a One-Tailed Test
- Summary
- Key Terms
- Focus on Problem Solving
- Demonstration 9.1
- Demonstration 9.2
- SPSS®
- Problems
- 9-1. The t Statistic: An Alternative to z
- Chapter 10. The t Test for Two Independent Samples
- 10-1. Introduction to the Independent-Measures Design
- 10-2. The Hypotheses and the Independent-Measures t Statistic
- The Hypotheses for an Independent-Measures Test
- The Formulas for an Independent-Measures Hypothesis Test
- Calculating the Estimated Standard Error
- Pooled Variance
- Estimated Standard Error
- The Final Formula and Degrees of Freedom
- 10-3. Hypothesis Tests with the Independent-Measures t Statistic
- Directional Hypotheses and One-Tailed Tests
- Assumptions Underlying the Independent-Measures t Formula
- Hartley’s F-Max Test
- 10-4. Effect Size and Confidence Intervals for the Independent-Measures t
- Cohen’s Estimated d
- Explained Variance and r 2
- Confidence Intervals for Estimating μ 1 - μ 2
- Confidence Intervals and Hypothesis Tests
- 10-5. The Role of Sample Variance and Sample Size in the Independent-Measures t Test
- Error and the Role of Individual Differences
- Summary
- Key Terms
- Focus on Problem Solving
- Demonstration 10.1
- Demonstration 10.2
- SPSS®
- Problems
- Chapter 11. The t Test for Two Related Samples
- 11-1. Introduction to Repeated-Measures Designs
- 11-2. The t Statistic for a Repeated-Measures Research Design
- Difference Scores: The Data for a Repeated-Measures Study
- The Hypotheses for a Repeated-Measures t Test
- The Repeated-Measures t Statistic
- 11-3. Hypothesis Tests for the Repeated-Measures Design
- Directional Hypotheses and One-Tailed Tests
- Assumptions of the Related-Samples t Test
- 11-4. Effect Size, Confidence Intervals, and the Role of Sample Size and Sample Variance for the Repeated-Measures t
- Effect Size for the Repeated-Measures t
- Confidence Intervals for Estimating μ D
- Descriptive Statistics and the Hypothesis Test
- Sample Variance and Sample Size in the Repeated-Measures t Test
- 11-5. Comparing Repeated- and Independent-Measures Designs
- Repeated-Measures versus Independent-Measures Designs
- Time-Related Factors and Order Effects
- The Matched-Subjects Design
- Summary
- Key Terms
- Focus on Problem Solving
- Demonstration 11.1
- Demonstration 11.2
- SPSS®
- Problems
- Chapter 12. Introduction to Analysis of Variance
- 12-1. Introduction: An Overview of Analysis of Variance
- Terminology in Analysis of Variance
- Statistical Hypotheses for ANOVA
- Type I Errors and Multiple-Hypothesis Tests
- The Test Statistic for ANOVA
- 12-2. The Logic of Analysis of Variance
- Between-Treatments Variance
- Within-Treatments Variance
- The F-Ratio: The Test Statistic for ANOVA
- 12-3. ANOVA Notation and Formulas
- ANOVA Formulas
- Analysis of Sum of Squares (SS)
- The Analysis of Degrees of Freedom (df)
- Calculation of Variances (MS) and the F-Ratio
- 12-4. Examples of Hypothesis Testing and Effect Size with ANOVA
- The Distribution of F-Ratios
- The F Distribution Table
- An Example of Hypothesis Testing and Effect Size with Anova
- Measuring Effect Size for ANOVA
- An Example with Unequal Sample Sizes
- Assumptions for the Independent-Measures ANOVA
- 12-5. Post Hoc Tests
- Posttests and Type I Errors
- Tukey’s Honestly Significant Difference (HSD) Test
- The Scheffé Test
- 12-6. More about ANOVA
- A Conceptual View of ANOVA
- The Relationship Between ANOVA and t Tests
- Summary
- Key Terms
- Focus on Problem Solving
- Demonstration 12.1
- Demonstration 12.1
- SPSS®
- Problems
- 12-1. Introduction: An Overview of Analysis of Variance
- Chapter 13. Two-Factor Analysis of Variance
- 13-1. An Overview of the Two-Factor, Independent-Measures ANOVA
- Main Effects and Interactions
- Main Effects
- Interactions
- More about Interactions
- Independence of Main Effects and Interactions
- 13-2. An Example of the Two-Factor ANOVA and Effect Size
- An Example of Hypothesis Testing with a Two-Factor ANOVA
- Measuring Effect Size for the Two-Factor ANOVA
- Interpreting the Results from a Two-Factor ANOVA
- 13-3. More about the Two-Factor ANOVA
- Testing Simple Main Effects
- Using a Second Factor to Reduce Variance Caused by Individual Differences
- Assumptions for the Two-Factor Anova
- Summary
- Key Terms
- Focus on Problem Solving
- Demonstration 13.1
- SPSS®
- Problems
- 13-1. An Overview of the Two-Factor, Independent-Measures ANOVA
- Chapter 14. Correlation and Regression
- 14-1. Introduction
- The Characteristics of a Relationship
- 14-2. The Pearson Correlation
- The Sum of Products of Deviations
- Calculation of the Pearson Correlation
- Correlation and the Pattern of Data Points
- The Pearson Correlation and z-Scores
- 14-3. Using and Interpreting the Pearson Correlation
- Where and Why Correlations Are Used
- Interpreting Correlations
- Correlation and Causation
- Correlation and Restricted Range
- Outliers
- Correlation and the Strength of the Relationship
- 14-4. Hypothesis Tests with the Pearson Correlation
- The Hypotheses
- The Hypothesis Test
- 14-5. Alternatives to the Pearson Correlation
- The Spearman Correlation
- Ranking Tied Scores
- Special Formula for the Spearman Correlation
- The Point-Biserial Correlation and Measuring Effect Size with r 2
- The Phi-Coefficient
- 14-6. Introduction to Linear Equations and Regression
- Linear Equations
- Regression
- The Standard Error of Estimate
- Analysis of Regression: The Significance of the Regression Equation
- Summary
- Key Terms
- Focus on Problem Solving
- Demonstration 14.1
- SPSS®
- Problems
- 14-1. Introduction
- Chapter 15. The Chi-Square Statistic: Tests for Goodness of Fit and Independence
- 15-1. Introduction to Chi-Square: The Test for Goodness of Fit
- Parametric and Nonparametric Statistical Tests
- The Chi-Square Test for Goodness of Fit
- The Null Hypothesis for the Goodness-of-Fit Test
- The Data for the Goodness-of-Fit Test
- Expected Frequencies
- The Chi-Square Statistic
- 15-2. An Example of the Chi-Square Test for Goodness of Fit
- The Chi-Square Distribution and Degrees of Freedom
- Locating the Critical Region for a Chi-Square Test
- A Complete Chi-Square Test for Goodness of Fit
- Goodness of Fit and the Single-Sample t Test
- 15-3. The Chi-Square Test for Independence
- The Null Hypothesis for the Test for Independence
- Observed and Expected Frequencies
- The Chi-Square Statistic and Degrees of Freedom
- A Summary of the Chi-Square Test for Independence
- 15-4. Effect Size and Assumptions for the Chi-Square Tests
- Cohen’s w
- The Phi-Coefficient and Cramér’s V
- Assumptions and Restrictions for Chi-Square Tests
- Summary
- Key Terms
- Focus on Problem Solving
- Demonstration 15.1
- Demonstration 15.2
- SPSS®
- Problems
- 15-1. Introduction to Chi-Square: The Test for Goodness of Fit
- Appendix A. Basic Mathematics Review
- Appendix B. Statistical Tables
- Appendix C. Solutions for Odd-Numbered Problems in the Text
- Appendix D. General Instructions for Using SPSS®
- Statistics Organizer: Finding the Right Statistics for Your Data
- Summary of Statistics Formulas
- References
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- Gerð : 208
- Höfundur : 18977
- Útgáfuár : 2020
- Leyfi : 380