### Statistics tests

##### Parametric
###### 1. Mean, SEM and SD, etc

- Arithmetic, Geometric and Harmonic means
- Standard error of the mean (SEM)
- Standard deviation (SD(n), SD(n-1))
- Confidence interval (95%, 99%)
- Sum
- Sum of square
- Variance (V(n), V(n-1))
- Skewness (g1, G1)
- Kurtosis (alpha4, g2, G2)

###### 2. SD-SEM Conversion

Convertion among Standard deviations (SD(n), SD(n-1)) and Standard error (SEM))

###### 5. t-test (Student and Welch)

- F-test to compare 2 variances
- t-test(Student and Welch)

(n >=3 groups)

###### 9. Multiple t-test (with Bonferroni's correction)

-Copmparisons between A and other group
-Copmparisons among all groups
-Copmparisons between particular pairs

###### 10. Correlation and Regression

- Correlation coefficient
- Regression coefficient
- Coefficient of determination
- Test for correlation coefficient

NEW (Jan. 2020)

###### 11. Shapiro-Wilk test (Normality test)

- Kurtosis (alpha4)
- Shapiro-Wilk test
- Normal probability plot (graph)

##### Nonparametric
###### 1. Median, Range and Quartiles, etc

- Median
- Range
- Minimum
- 1st quartile
- 3rd quartile
- Maximum
- Quartile deviation

###### 4. Kruskal-Wallis test and multiple comparisons

- Kruskal-Wallis test
- Multiple comparisons with Bonferroni correction

###### 6. Wilcoxon's signed-rank sum test

(paired 2 groups)

###### 12. Spearman rank correlation coefficient

- Correlation coefficient
- Test for correlation coeffcient