### Statistics tests

##### Parametric

1. Mean, SD and SEM, etc
- Arithmetic, Geometric and Harmonic means
- Standard Error, Standard Deviation (SD(n), SD(n-1))
- 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. Shapiro-Wilk test (Normality test)
- Shapiro-Wilk test
- Normal probability plot (graph)

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

4. One-sample t-test (Comparison of mean)

5. Paired sample t-test

6. Two-sample t-test (Comparison of means)
- F-test to compare 2 variances
- t-test(Student and Welch)

7. F-test for equality of 2 variances

8. Levene test for homogeneity of variance
(n >=3 groups)

9. One-way ANOVA

10. Multiple t-test (with Bonferron's correction)
-Comparisons between A and other groups
-Comparisons among all groups
-Comparisons among all groups
-Comparisons between particular pairs

11. Pearson correlation coefficient (Linear regression)
- Correlation coefficient
- Regression coefficient
- Coefficient of determination
- Test for correlation coefficient
- Regression line　(graph)

12. Test for difference between one-sample correlation coefficient and compared value

13.Test for difference between two-sample correlation coefficients

##### Nonparametric

1. Median, Range and Quartiles
- Median
- Range
- Minimum
- 1st quartile
- 3rd quartile
- Maximum
- Quartile deviation

2. Mann-Whitney U test (= Wilcoxon rank sum test)

3. Median test (Mood's Median test)

4. Kruskal-Wallis test and multiple comparisons (Bonferroni correction)
- Kruskal-Wallis test
- Multiple comparisons with Bonferroni correction

5. Sign Test (paired sample)

6. Wilcoxon signed-rank sum test (paired 2 groups)

7. Binomial test I [** Exact method (<=100)] (= One-sample proportion test)

8. Binomial test II [** Approx method] (= One-sample proportion test)

9. Two-sample proportion test [** Approx method]

10. Chi-square test (Goodness of fit)

11. Chi-square test(Independence, 2x2)

12. Fisher's exact test

13. Chi-square test(Independence, mxn)

14. McNemar's test (paired case)

15. Spearman rank correlation coefficient<
- Correlation coefficient
- Test for correlation coeffcient