Statistics tests

Parametric

1. Mean, SD and SEM, 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))
3. One-sample t-test
4. Paired t-test
5. t-test (Student and Welch)
  - F-test to compare 2 variances
  - t-test(Student and Welch)
6. F-test for equality of 2 variances
7. Levene test for homogeneity of variance
  (n >=3 groups)
8. One-way ANOVA
9. Multiple t-test (with Bonferroni's correction)
  -Comparisons between A and other groups
  -Comparisons among all groups
  -Comparisons among all groups
  -Comparisons between particular pairs
10. Correlation and Regression
  - Correlation coefficient
  - Regression coefficient
  - Coefficient of determination
  - Test for correlation coefficient
11. Shapiro-Wilk test (Normality test) NEW
  - 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
2. Mann-Whitney's U test
3. Median test
4. Kruskal-Wallis test and multiple comparisons
  - Kruskal-Wallis test
  - Multiple comparisons with Bonferroni correction
5. Sign Test
6. Wilcoxon's signed-rank sum test
  (paired 2 groups)
7. One-sample proportion test NEW
8. Chi-square test (Goodness of fit)
9. Chi-square test(Independence, 2x2)
10. Chi-square test(Independence, mxn)
11. McNemar's test (paired case)
12. Fisher's exact test
13. Spearman rank correlation coefficient
  - Correlation coefficient
  - Test for correlation coeffcient