Statistics

1. Central limit theorem

2. Hypothesis test

2.1. Hypothesis testing

2.2. One sample t test

2.3. Z test

2.4. confidence interval

2.5. Paired T Test

2.6. Two Sample T test

2.7. one-tailed and two-tailed tests

2.8. procedure of hypothesis testing

2.9. decision errors

2.10. Power analysis

2.11. explanation on output of t test

3. Regression & Correlation

3.1. simple linéar regression

3.2. evaluating linear fits

3.3. multiple linear regression

3.4. correlation

3.5. correlation and causation

4. Contingency table

4.1. contingency table

4.2. mosaic plot

4.3. test of independance

4.4. test of homogeneity

5. ANOVA

6. Probability & Probability Law

6.1. Probability

6.2. Probability Law

6.3. Random Variable

6.4. Probability distribution (discrete case)

6.5. Probability distribution (continuous case)

7. Distribution

7.1. Binomial Distribution

7.2. Poisson

7.3. Geometric

7.4. Negative binomial

7.5. Normal Distribution

7.6. Score

7.7. Student t

7.8. exponential

7.9. Chi-Square

7.10. Snedecor's F

8. Variable

8.1. Data Set

8.2. Variable Type

9. Sampling & Descriptive statistics

9.1. Sample and Population

9.2. Descriptive statistics

9.3. Population mean vs Sample mean

9.4. Population variance vs Sample variance

9.5. Quantiles

9.6. Box Plot

10. Representing data

10.1. Frequency table

10.2. Dotplot

10.3. Jittered Strip Plot

10.4. Stem and Leaf Plot

10.5. Histograms

10.6. Bar Chart

10.7. Shape of Frequency Distribution