| Weeks | Topics |
| 1 |
Introduction
Reminders of Mathematical Statistics 1
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| 2 |
Normal Distribution & Standart Normal Distribution
Moment Generating Function
Functions of Random Variables
• Distribution Function Technique
• Transformation Technique:One Variable
• Transformation Technique:Several Variables
• Moment Generating Function Techniques
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| 3 |
Sampling Distributions
• The Distribution of the Mean
• The Distribution of the Mean: Finite Populations
• The Chi-Square Distribution
• The t Distribution
• The F Distribution
• Order Statistics
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| 4 |
Sampling Distributions
• The Distribution of the Mean
• The Distribution of the Mean: Finite Populations
• The Chi-Square Distribution
• The t Distribution
• The F Distribution
• Order Statistics
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| 5 |
Estimation
• Unbiased,
• Efficiency,
• Consistency,
• Sufficiency,
• The Methods of Moments,
• The Methods of Maximum Likelihood
• Bayesian Estimation
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| 6 |
Estimation
• Unbiased,
• Efficiency,
• Consistency,
• Sufficiency,
• The Methods of Moments,
• The Methods of Maximum Likelihood
• Bayesian Estimation
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| 7 |
Midterm Exam
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| 8 |
Interval Estimations, Confidence Intervals
• Confidence Intervals for a Population Mean
1. Population Distribution is the Normal Distribution, Population Variance is Known,
2. Population Distribution is the Normal Distribution, Population Variance is Unknown,
3. Population Distribution is the Normal Distribution, Population Variance is Unknown, Large Sample,
4. Population Distribution is not the Normal Distribution, Population Variance is unknown, Large Sample.
• Confidence Intervals for Difference of Two Population Means
1. Independent Samples, Population Distributions are the Normal Distribution, Population Variances are Known
2. Independent Samples, Population Distributions are the Normal Distribution, Population Variances are Unknown, Population Variances are Equal
3. Paired Samples, Population Distributions are the Normal Distribution,
4. Independent Samples, Population Distributions are the Normal Distribution, Population Variances are Unknown, Large Samples
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| 9 |
Interval Estimations, Confidence Intervals
• Confidence Interval for a Population Proportion (For Large Samples)
• Confidence Interval for the Difference of Two Population Ratios (For large samples)
• Confidence Interval for a Population Variance (Population Distribution is a Normal Distribution)
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| 10 |
Hypothesis Tests
• Hypothesis Tests for a Population Mean
1. Population Distribution is the Normal Distribution, Population Variance is Known,
2. Population Distribution is the Normal Distribution, Population Variance is Unknown,
3. Population Distribution is the Normal Distribution, Population Variance is Unknown, Large Sample,
4. Population Distribution is not the Normal Distribution, Population Variance is unknown, Large Sample.
• Hypothesis Tests for the Difference of Two Population Means
1. Independent Samples, Population Distributions are the Normal Distribution, Population Variances are Known
2. Independent Samples, Population Distributions are the Normal Distribution, Population Variances are Unknown, Population Variances are Equal
3. Paired Samples, Population Distributions are the Normal Distribution,
4. Independent Samples, Population Distributions are the Normal Distribution, Population Variances are Unknown, Large Samples
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| 11 |
Hypothesis Tests
• Hypothesis Test for a Population Proportion (For Large Samples)
• Hypothesis Test for the Difference of Two Population Ratios (For large samples)
• Hypothesis Test for a Population Variance (Population Distribution is a Normal Distribution)
• Hypothesis Test for equality of Two Population Variances (Population Distributions are a Normal Distribution)
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| 12 |
Cross Tables and Chi-Square Analysis, Goodness of Fit
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| 13 |
Correlation and Regression
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| 14 |
Review
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