Statistical Test
Statistical Testing covers one of the most important methodologies in statistics, Hypothesis Testing, introducing its fundamental theories and various tests commonly used in practice. The content in the Senior section originates from common grievances like “Don’t just output statistics and p-values; explain what the null and alternative hypotheses are.” This material will undoubtedly assist many students of statistics.
- The posts under Freshman detail the derivation processes of hypothesis tests that undergraduates must accept without mathematical proofs. These derivations can be challenging to understand even as students progress, but they become more accessible at the graduate freshman level, making a review of these posts highly recommended.
Freshman
- An Easy Definition of Hypothesis Testing
- Rejection Region and Significance Level
- p-Value or Significance Probability
Inference on Population Mean
- Large Sample Hypothesis Testing for Population Mean
- Small Sample Hypothesis Testing for Population Mean
- Large Sample Hypothesis Testing for the Difference Between Two Population Means
- Small Sample Hypothesis Testing for the Difference Between Two Population Means
Chi-Square Test
- Pearson Chi-Square Test Statistic $\mathcal{X}^{2}$ 🤬
- Polynomial Experiments and Contingency Tables
- Goodness of Fit Test for Groups 🤬
- Independence Test for Groups
- Homogeneity Test for Groups
- Chi-Square Test for Population Variance
ANOVA
- ANOVA Table and Degrees of Freedom
- F-Test
- One-Way ANOVA
- Two-Way ANOVA
Senior
Distribution Tests
Regression Analysis
- t-Test for Regression Coefficients
- F-Test for Regression Coefficients
- Hosmer-Lemeshow Goodness of Fit Test
Time Series Analysis
References
- Mendenhall. (2012). Introduction to Probability and Statistics (13th Edition)
- 경북대학교 통계학과. (2008). 엑셀을 이용한 통계학
All posts
- How to Set the Null Hypothesis and Alternative Hypothesis
- Type I and Type II Errors Difference
- Rejection Region and Significance Level
- Easy Definition of P-Value or Significance Probability
- Regression Coefficient's t-test
- F-test for Regression Coefficients
- Hosmer-Lemeshow Goodness of Fit Test
- Shapiro-Wilk Test
- Harke-Bera Test
- Dickey-Fuller Test
- Box-Cox Transformation
- Durbin-Watson Test
- Run-Test
- McLeod-Li Test
- Simplified Definition of Hypothesis Testing
- Hypothesis Testing for Population Mean
- Large Sample Hypothesis Testing for the Difference Between Two Population Means
- Hypothesis Testing for the Population Mean with a Small Sample
- Small-Sample Hypothesis Testing for the Difference Between Two Population Means
- Pearson Chi-Square Test Statistic
- Polynomial Experiments and Contingency Tables
- Fitness Test of a group