Statistical tests, charts, probabilities and clear results. Automatically checks assumptions, interprets results and outputs graphs, histograms and other charts.

The statistics online calculators support not only the test statistic and the p-value but more results like effect size, test power, and the normality level.

If one of the validations fails, the tool recommends a solution.

What statistical test should you use? the following link will help you choose: **choose a statistical test** - decision questionnaire (**Tutorial**).

Find the test statistic calculator

Test | Assumptions | Required sample data | |||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|

# | Test name | Check | Statistic | Ind | σ | σ_{1}=σ_{2} | d | μ/p | x̄/p̂; | n | S | ||

1 | One Sample Z-Test | Mean | ✔ | ✔ | ✔ | ✔ | ✔ | ✔ | |||||

2 | One Sample T-Test | Mean | ✔ | ✔ | ✘ | ✔ | ✔ | ✔ | ✔ | ||||

3 | Two Sample Z-Test | Mean | ✔ | ✔ | ✔ | ✔ | ✔ | ✔ | |||||

4 | Two Sample T-Test (Pooled variance) | Mean | ✔ | ✔ | ✘ | ✔ | ✔ | ✔ | ✔ | ✔ | |||

5 | Two Sample T-Test (Welch's) | Mean | ✔ | ✔ | ✘ | ✘ | ✔ | ✔ | ✔ | ✔ | |||

6 | Two Sample Mann-Whitney U Test | Rank | ✔ | ✔ | ✔ | ||||||||

7 | Paired T-Test | Mean | ✔ | Paired | ✔ | ||||||||

8 | Paired Wilcoxon Sign Rank Test | Rank | Paired | ✔ | |||||||||

9 | One Way ANOVA Test | Mean | ✔ | ✔ | ✔ | ✔ | |||||||

10 | Repeated Measures ANOVA Test | Mean | ✔ | Dependent groups | Sphericity | ✔ | |||||||

11 | Friedman Test | Mean | $\mathrm{\chi \xb2(df)}=\frac{12\sum _{j=1}^{k}{{R}_{j}}^{2}-3{n}^{2}k{(k+1)}^{2}}{nk(k+1)-{C}_{ties}}$ | Dependent groups | ✔ | ||||||||

11 | Kruskal-Wallis Test | Mean | ✔ | ✔ | |||||||||

12 | Two Way ANOVA Test Fixed model, Mixed model, Random mode, Mixed model with repeats | Mean | ✔ | ✔ | ✔ | ✔ | |||||||

13 | One Way MANOVA Test | Mean | F | ✔ | ✔ | ✔ | ✔ | ||||||

14 | One Sample Proportion Test | Proportion | Binomial | ✔ | ✔ | ✔ | ✔ | ||||||

15 | Two Sample Proportion Test | Proportion | Binomial | ✔ | ✔ | ✔ | |||||||

16 | Chi-Squared Test For Variance | σ | ✔ | ✔ | ✔ | ✔ | |||||||

17 | F Test For Variances | σ | ✔ | ✔ | ✔ | ✔ | |||||||

18 | Levene's Test For Variances | σ | ✘ | ✔ | ✔ | ||||||||

19 | Chi-Squared Test For Goodness Of Fit (McNemar test, Chi-squared test for association, Fisher test, Binomial test) | Fit | ✔ | ✔ | |||||||||

20 | Shapiro-Wilk Test | Fit | ✔ | ✔ | ✔ | ||||||||

21 | Kolmogorov Smirnov Test | Fit | D = Max_{1≤i≤n}(D_{i}^{+},D_{i}^{-}) | ✔ | ✔ | ||||||||

22 | Two-Sample Kolmogorov Smirnov Test | Fit | D = Max_{1≤i≤n}(D_{i}^{+},D_{i}^{-}) | ✔ | ✔ | ||||||||

23 | Kaplan Meier Survival Analysis | Survival | ✔ | ✔ |

** ✔- yes, ✘- no, empty - irrelevant

# | Regression | Statistic |
---|---|---|

1 | Simple Linear Regression | |

2 | Multiple Linear Regression | |

3 | *Bulk Linear Regression | |

4 | Binary Logistic Regression | χ2 = 2(LL_{1}-LL_{0}) |

5 | Multinomial Logistic Regression | χ2 = 2(LL_{1}-LL_{0}) |

# | Calculator | Image |
---|---|---|

1 | Sample size calculators | |

2 | Test power calculators | |

3 | Effect size calculators | |

4 | Confidence intervals calculators |

Each statistics calculator contains step by step calculation.

# | Statistic calculator | Image |
---|---|---|

1 | Descriptive statistics | |

2 | Percentile | |

3 | Mean Median Mode (Q_{1}, Q_{3}, IRQ, Range) | |

4 | Measures Of Dispersion (Mean, sample size, APA style) | |

5 | Standard Deviation (Mean, sample size, APA style) | |

6 | variance (Variance, Mean, SEM, MAD) | |

7 | Coefficient of Variation | CV |

8 | Average (Sum, Count) | x̄ |

9 | Sample Mean (Sum, Count) | x̄ |

10 | Geometric Mean (Product, n-th root) | GM |

11 | Harmonic Mean | H |

12 | Probability (Probability formula, Dependent events, Bayes' Theorem, Independent events) | P(A), P(A|B), P(A∩B), P(A∪B) |

13 | Combinations calculator (With/Without Repetitions) Permutation calculator (With/Without, Repetitions) | |

14 | Combinations generator (Combinations generator, Permutation generator, Repetitions) | |

15 | Correlation calculator (Pearson correlation, Spearman's rank correlation) | |

16 | Outliers (Tukey's Fences (Boxplot), Z-Score) | |

17 | Markov chain calculator (nth step probability vector, steady-state vector) | |

18 | Odds calculator (odds to probability, probability to odds) | |

19 | Betting odds calculator (fractional odds, decimal odds, American odds) | |

20 | Mean absolute deviation calculator (MAD calculator) | |

21 | Median absolute deviation calculator (MAD calculator) |

- Guide
- Bonferroni correction
- Central Limit Theorem
- Confidence interval
- Linear regression
- Logistic regression
- Outliers
- P-value
- Skewness and kurtosis
- Standard deviation
- Test power

Free statistics exams with solution.

- Chi-squared test
- Levene's test
- Mann-Whitney U Rank test
- One Way ANOVA test
- Proportion test
- Shapiro Wilk test
- T-test
- T-test vs Z-Test
- Tukey HSD test
- Wilcoxon Sign Rank test

The goal of this website is to make statistics accessible to anyone, converting complex statistical jargon into common everyday language.

We help everybody to calculate statistics.

The calculators also provide R codes for your convenience.

We started adding a step-by-step work-through for education purposes, an easy guide on how to calculate test statistics.

We put in a lot of effort to provide accurate results and we automatically test every new page, The older pages were tested manually, but we slowly also automate the old pages.

We usually compare the results to the R results.

The information and tools on this website are given AS IS WITHOUT ANY WARRANTY OF ANY KIND.

The best online calculator to calculate statistics.