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