Statistics

  1. Inferential Statistics: Estimation
    1. Point Estimation
      1. Properties of Estimators
        1. Unbiasedness
          1. Efficiency
            1. Minimum Variance
              1. Comparison of Estimators
              2. Consistency
                1. Large Sample Properties
                2. Sufficiency
                  1. Complete Information
                3. Common Point Estimators
                  1. Sample Mean
                    1. Sample Proportion
                      1. Sample Variance
                    2. Interval Estimation (Confidence Intervals)
                      1. Concept of Confidence Intervals
                        1. Interpretation
                          1. Confidence vs. Probability
                          2. Understanding Confidence Levels
                            1. Common Confidence Levels
                              1. 90% Confidence
                                1. 95% Confidence
                                  1. 99% Confidence
                                  2. Relationship to Alpha Level
                                  3. Confidence Interval for a Population Mean
                                    1. Population Standard Deviation Known (Z-interval)
                                      1. Formula
                                        1. Assumptions
                                          1. Critical Values
                                          2. Population Standard Deviation Unknown (t-interval)
                                            1. Formula
                                              1. Degrees of Freedom
                                                1. t-Distribution Properties
                                              2. Confidence Interval for a Population Proportion
                                                1. Formula
                                                  1. Assumptions
                                                    1. Sample Size Requirements
                                                      1. Wilson Score Interval
                                                      2. Confidence Interval for Population Variance
                                                        1. Chi-Square Distribution
                                                          1. Formula
                                                            1. Degrees of Freedom
                                                            2. Confidence Interval for Difference Between Means
                                                              1. Independent Samples
                                                                1. Paired Samples
                                                                2. Determining Sample Size
                                                                  1. For Means
                                                                    1. Margin of Error
                                                                      1. Confidence Level Effects
                                                                      2. For Proportions
                                                                        1. Conservative Approach
                                                                          1. Prior Information Use
                                                                          2. Factors Affecting Sample Size
                                                                            1. Confidence Level
                                                                              1. Margin of Error
                                                                                1. Population Variability

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                                                                          6. Sampling Distributions

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                                                                          8. Inferential Statistics: Hypothesis Testing