Introduction to Statistics (English Edition)

سرفصل های دوره

This course is an introduction to statistics, covering probability distributions, estimation, and hypothesis testing.

1. IntroductionDescriptive statistics

1. Introduction

2.1 lecture-slides ver.1.pdf

2. Lecture slides.html

3. Population and Sample

4. Variables

5. Histogram (Frequency distribution)

6. Scatter plot

7. Descriptive statistics

8. Representative value

9. Median

10. Mean

11. Outlier

12. Mean deviation

13. Variance

14. Standard deviation (SD)

15. Standardization

2. Point estimation

1. Point estimation

2. Unbiasedness

3. Point estimation for the population mean

4. Point estimation for the population variance

5. Sample variance and Unbiased variance

3. Probability distribution

1. Why probability

2. Random sampling

3. Probability model

4. Random variable

5. Probability distribution

6. Probability functions and parameters

7. The notation of probability distributions

8. Binomial distribution

9. Normal distribution

10. Standard normal distribution

11. Population distribution and Sample distribution

4. Interval estimation I

1. Interval estimation

2. Standard normal distribution (Review)

3. Two-sided 5% points of the standard normal distribution

4. Interval estimation for the population mean

5. Confidence level and confidence interval

6. Properties of the sample mean

7. Interval estimation using the sample mean

8. Variance and confidence intervals

5. Interval estimation II

1. t-distribution

2. Interval estimation using the t-distribution

3. Characteristics of estimation by t-distribution

4. The population distribution unknown

5. Central Limit Theorem

6. Interval estimation using the Central Limit Theorem

6. Interval estimation III

1. Binary variable and proportion

2. Bernoulli distribution

3. Interval estimation for population proportion

7. Hypothesis testing

1. Hypothesis testing

2. Null hypotheses and alternative hypotheses

3. Significance level and rejection region

4. Two-sided and one-sided tests

5. Procedure in hypothesis testing

6. Interpretation of hypothesis test results

7. Type I and type II errors

8. Hypothesis test of population mean

9. Test for difference of population means (Welchs t-test)

8. Conclusion

1. Conclusion

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