# Statistical test calculators

The statistical test calculators provide more than just the simple results, the calculators check the tests' assumptions, calculate test powers and interpret the results. The 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.

Choose statistical test (decision tree). What statistical test should I use? What regression type should I use?

## Test calculators

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

## Regression calculators

# | 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}) |

## Statistical Power and Sample Size calculators

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

1 | Sample size | |

2 | Test power | |

2 | 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

## Measurements calculators

# | Measurement | Image |
---|---|---|

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

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

3 | Average (Sum, Count) | x̄ |

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

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

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

4 | 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.

The calculators also provide R codes for your convenience.

We started adding a step by step work-through for education purposes.

### Terms

We put in a lot of effort to provide accurate results and we automatically test every new page.

We usually compare the results to the R results.

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