# Statistics online

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).

## Test statistic calculators

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

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

12 | One Sample Proportion Test | Proportion | Binomial | ✔ | ✔ | ✔ | ✔ | ||||||

13 | Two Sample Proportion Test | Proportion | Binomial | ✔ | ✔ | ✔ | |||||||

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

15 | F Test For Variances | σ | ✔ | ✔ | ✔ | ✔ | |||||||

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

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

18 | Shapiro-Wilk Test | Fit | ✔ | ✔ | ✔ | ||||||||

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

20 | Kaplan Meier Survival Analysis | Survival | ✔ | ✔ |

## Regression calculator

# | 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}) |

## Sample size calculator

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

1 | Sample size | |

2 | Test power | |

3 | Effect size | |

4 | Confidence interval |

## Distribution calculators

# | Distribution | Image |
---|---|---|

1 | P-value | |

2 | Distributions | |

2 | Normal Distribution | |

2 | Binomial Distribution | |

3 | T Distribution (Student's) | |

4 | Chi-Squared Distribution | |

5 | F Distribution (Fisher-Snedecor) |

## Statistical tables

## Statistics calculators

Each statistics calculator contains step by step calculation.

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

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

2 | Standard Deviation (Variance, Mean, SEM, MAD) | |

3 | Average (Sum, Count) | x̄ |

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

5 | Harmonic Mean | H |

6 | Probability (Probability formula, Dependent events, Bayes' Theorem, Independent events) | P |

7 | Combinations calculator (Combinations calculator, Permutation calculator, Repetitions) | |

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

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

## Chart makers

# | Chart | Image |
---|---|---|

1 | Histogram maker | |

2 | Box plot maker | |

3 | Bar graph maker | |

4 | Pie chart maker | |

5 | Line chart maker | |

6 | Scatter chart maker | |

7 | Area chart maker |

## Guide

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

### Statistical Tests

### Goal

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.

### Terms

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.

### Calculate statistics

The best online calculator to calculate statistics.