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	σ1=σ2	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(LL1-LL0)
5	Multinomial Logistic Regression	χ2 = 2(LL1-LL0)

*Bulk linear regression calculator for several dependent variables with the same predictors.

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 (Q1, Q3, IRQ, Range)
2	Standard Deviation (Variance, Mean, SEM, MAD)
3	Average (Sum, Count)	x̄
4	Outliers (Tukey's Fences (Boxplot), Z-Score)
5	Probability (Probability formula, Dependent events, Bayes' Theorem, Independent events)	P

Chart makers

#	Chart	Image
1	Histogram maker

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.