MAT5383
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Mathematical Statistics II MAT4383/MAT5383
List of Topics
| Session | Section | Topic | Prerequisites | SLOs |
|---|---|---|---|---|
| 7 | Point Estimation | |||
| 1 | 7.1 | General Concepts and Criteria | ||
| 2 | 7.2 | Methods of Point Estimation | ||
| 3 | 7.3 | Sufficiency | ||
| 4 | 7.4 | Information and Efficiency | ||
| 8 | Statistical Intervals Based on a Single Sample | |||
| 5 | 8.1 | Basic Properties of Confidence Intervals | ||
| 6 | 8.2 | Large-Sample Confidence Intervals for a Population Mean and Proportion | ||
| 7 | 8.3 | Intervals Based on a Normal Population Distribution | ||
| 8 | 8.4 | Confidence Intervals for the Variance and Standard Deviation of a Normal Population | ||
| 9 | 8.5 | Bootstrap Confidence Intervals | ||
| 10 | REVIEW | |||
| 11 | TEST 1 | |||
| 9 | Tests of Hypotheses Based on a Single Sample | |||
| 12 | 9.1 | Hypotheses and Test Procedures | ||
| 13 | 9.2 | Tests About a Population Mean | ||
| 14 | 9.3 | Tests Concerning a Population Proportion | ||
| 15 | 9.4 | P-Values | ||
| 16 | 9.5 | Some Comments on Selecting a Test Procedure | ||
| 10 | Inferences Based on Two Samples | |||
| 17 | 10.1 | z Tests and Confidence Intervals for a Difference Between Two Population Means | ||
| 18 | 10.2 | The Two-Sample t Test and Confidence Interval | ||
| 19 | 10.3 | Analysis of Paired Data | ||
| 20 | 10.4 | Inferences About Two Population Proportions | ||
| 21 | 10.5 | Inferences About Two Population Variances | ||
| 22 | 10.6 | Comparisons Using the Bootstrap and Permutation Methods | ||
| 23 | REVIEW | |||
| 24 | TEST 2 | |||
| 11 | The Analysis of Variance | |||
| 25 | 11.1 | Single-Factor ANOVA | ||
| 26 | 11.2 | Multiple Comparisons in ANOVA | ||
| 27 | 11.3 | More on Single-Factor ANOVA | ||
| 28 | 11.4 | Two-Factor ANOVA with Kij = 1 | ||
| 29 | 11.5 | Two-Factor ANOVA with Kij > 1 | ||
| 30 | 12 | Regression and Correlation | ||
| 31 | 12.1 | The Simple Linear and Logistic Regression Models | ||
| 32 | 12.2 | Estimating Model Parameters | ||
| 33 | 12.3 | Inferences About the Regression Coefficient b1 | ||
| 34 | 12.4 | Inferences Concerning mY ·x* and the Prediction of Future Y Values | ||
| 35 | 12.5 | Correlation | ||
| 36 | 12.6 | Assessing Model Adequacy | ||
| 37 | 12.7 | Multiple Regression Analysis | ||
| 38 | 12.8 | Regression with Matrices | ||
| 39 | REVIEW |