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))

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)

  -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

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. Chi-square test (Goodness of fit)
8. Chi-square test(Independence, 2x2)
9. Chi-square test(Independence, mxn)
10. McNemar's test (paired case)
11. Fisher's exact test
12. Spearman rank correlation coefficient

  - Correlation coefficient
  - Test for correlation coeffcient