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Statistics
Social Statistics
1. Introduction to Social Statistics
2. Fundamental Concepts
3. Data Collection Methods
4. Sampling Techniques
5. Data Management and Preparation
6. Descriptive Statistics: Univariate Analysis
7. Foundations of Inferential Statistics
8. Estimation and Confidence Intervals
9. Hypothesis Testing
10. Testing for Differences Between Means
11. Analysis of Categorical Data
12. Bivariate Correlation and Regression
13. Multivariate Regression
14. Advanced Topics in Social Statistics
15. Communicating Statistical Results
Estimation and Confidence Intervals
Point Estimation
Properties of Good Estimators
Unbiasedness
Efficiency
Consistency
Interval Estimation
Concept of Confidence Intervals
Confidence Level vs. Confidence Coefficient
Margin of Error
Confidence Intervals for Means
Population Standard Deviation Known
Population Standard Deviation Unknown
Small Sample Considerations
Confidence Intervals for Proportions
Large Sample Approximation
Sample Size Requirements
Continuity Correction
Confidence Intervals for Variance
Using Chi-Square Distribution
Interpreting Confidence Intervals
Common Misinterpretations
Relationship to Hypothesis Testing
Factors Affecting Interval Width
Sample Size
Confidence Level
Population Variability
The t-Distribution
Properties and Characteristics
Degrees of Freedom
Comparison with Normal Distribution
When to Use t vs. z
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7. Foundations of Inferential Statistics
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9. Hypothesis Testing