Statistics And Data Analysis

Before launching an experiment, use MiniWebtool’s A/B Test Sample Size Calculator to estimate visitors needed per arm. Baseline conversion rate, minimum detectable effect, significance level, and power shape the requirement; traffic inputs translate it into an estimated test duration.

Compare conversion results using MiniWebtool’s A/B Test Significance Calculator. Visitor and conversion counts for a control and variant produce conversion rates, confidence intervals, and a significance test at your chosen confidence level and test direction.

Test whether group means differ with MiniWebtool’s ANOVA Calculator. Supply grouped observations for a one-way analysis of variance, including an ANOVA table, F-statistic, p-value, effect sizes, and group summaries at your chosen significance level.

Enter numbers separated by commas, spaces, or line breaks in MiniWebtool’s Arithmetic Mean Calculator to calculate their arithmetic mean, median, mode, range, variance, and standard deviation.

MiniWebtool’s Average Calculator compares several measures of center, including arithmetic, geometric, harmonic, and weighted means. Supply up to 10,000 values and optional weights to inspect averages alongside spread statistics and data visualizations.

MiniWebtool’s Average Deviation Calculator measures the average absolute distance of observations from their mean or median. Enter a dataset to see the deviation breakdown and compare this spread measure with standard deviation.

Calculate posterior probability with MiniWebtool’s Bayes' Theorem Calculator. Enter prior probability, likelihood, and false positive rate to get step-by-step solutions using Bayes' theorem, with probability tree diagrams and natural frequency visualizations.

Enter shape parameters alpha and beta in MiniWebtool’s Beta Distribution Calculator to find P(X <= x), P(X >= x) or an interval probability. Get interactive PDF and CDF graphs, shaded regions, step-by-step solutions, mean, variance, mode and skewness.

Paste labeled datasets into MiniWebtool’s Box and Whisker Plot Maker to compare their distributions in a box plot. Choose an outlier rule and review each group’s five-number summary and IQR.

Run a chi-square test of independence with MiniWebtool’s Chi-Square Test Calculator to see whether two categorical variables are significantly associated. Get the chi-square statistic, p-value, expected frequencies, cell contributions and Cramer's V effect size, step by step.

MiniWebtool’s Coefficient of Variation Calculator expresses standard deviation relative to the mean as a percentage. Enter observations and choose sample or population treatment to compare relative variability, with worked calculations and plots.

MiniWebtool’s Cohen's d Calculator measures a difference between means in standard-deviation units. Raw samples or summary statistics yield Cohen’s d, bias-corrected Hedges’ g, and confidence intervals under the chosen pooling method.

Solve a missing part of a growth scenario with MiniWebtool’s Compound Growth Calculator. Initial and future values, rate, periods, and optional contributions describe the relationship, with a period-by-period breakdown of the modeled growth.

MiniWebtool’s Confidence Interval Calculator estimates intervals for a population mean or proportion. Use raw observations, summary statistics, or success counts, then choose a confidence level to inspect the interval and the distribution used.

Compare two interval methods in MiniWebtool’s Confidence Interval for Proportion Calculator. Successes, sample size, and confidence level produce a Wald or Wilson interval for a binary-outcome proportion, with formulas and a visual summary.

Analyze an R×C table of observed counts in MiniWebtool’s Contingency Table Calculator. The chi-square independence test includes expected counts, residuals, cell contributions, and Cramér’s V, with mosaic and heatmap views of the association.

Put a conversion rate in statistical context with MiniWebtool’s Conversion Rate Calculator. Visitor and conversion counts give the observed percentage; a chosen confidence level and interval method show uncertainty around the underlying rate.

Compare linear and rank-based associations in MiniWebtool’s Correlation Coefficient Calculator. Paired x and y observations produce Pearson, Spearman, and Kendall coefficients, with scatter plots and regression context; correlation alone does not establish causation.

Quantify the magnitude of a group difference in MiniWebtool’s Effect Size Calculator. Means, standard deviations, and sample sizes support standardized effect estimates, complementing significance tests with a measure of how large the difference is.

Find waiting-time probabilities in MiniWebtool’s Exponential Distribution Calculator. A positive rate parameter defines the model; select a lower tail, upper tail, or interval to see probabilities, density and cumulative graphs, and distribution statistics.

Compare variances or examine an F statistic in MiniWebtool’s F-Test / F-Distribution Calculator. Modes cover two-sample variance testing, one-way ANOVA with up to 10 groups, and direct F-distribution probability lookups with rejection-region plots.

Calculate an exact association test for a 2×2 table in MiniWebtool’s Fisher's Exact Test Calculator. Four counts yield one- and two-tailed p-values from the hypergeometric distribution, with odds ratio, relative risk, and visual summaries.

Summarize a dataset’s spread in MiniWebtool’s Five Number Summary Calculator. Minimum, Q1, median, Q3, and maximum appear with a boxplot and outlier checks, while three quartile conventions let you match a textbook or software.

How likely is the first success to occur on a particular attempt? MiniWebtool’s Geometric Distribution Calculator uses a constant per-trial success probability to calculate point and cumulative probabilities, counting either trials to success or failures beforehand.

For multiplicative data such as ratios and growth factors, MiniWebtool’s Geometric Mean Calculator finds the nth root of the product. Calculation steps and comparisons with other means help you understand why this average differs from an arithmetic mean.

Measure how unevenly values are distributed with MiniWebtool’s Gini Coefficient Calculator. It calculates the coefficient from your dataset and draws its Lorenz curve, with quintile analysis and calculation steps to explain the distribution behind the number.

Averaging rates can call for reciprocals rather than a simple sum. MiniWebtool’s Harmonic Mean Calculator computes the harmonic mean of your dataset, explains the steps, and compares it with arithmetic and geometric means.

See the shape of a numerical dataset by grouping observations into bins. MiniWebtool’s Histogram Maker combines a histogram with descriptive statistics, offers automatic bin selection, and supports PNG export for sharing the chart.

Sampling without replacement changes the chance of each subsequent draw. MiniWebtool’s Hypergeometric Distribution Calculator uses population size, success count, and sample size to calculate exact and cumulative probabilities, with a distribution chart and worked steps.

Paste a list of numbers into MiniWebtool’s Interquartile Range Calculator to see Q1, Q2, Q3, the IQR, the five-number summary and outliers, with a box plot and steps.

Compare independent groups without assuming a normal distribution. MiniWebtool’s Kruskal-Wallis Test Calculator handles up to 20 groups and reports the H statistic, rank analysis, effect sizes, and worked calculations for interpreting the comparison.

Fit a straight-line relationship to paired data with MiniWebtool’s Linear Regression Calculator. The result includes slope, intercept, R², a scatter plot, and predictions based on the fitted line, with formula steps for inspecting the calculation.

MiniWebtool’s Logarithmic Growth Calculator models a curve from an initial value, growth parameter, time, and logarithm base. Charts and tables for up to 100 years show the pattern implied by those assumptions.

Compare two independent samples using MiniWebtool’s Mann-Whitney U Test Calculator. It ranks the observations and reports the U statistic, p-value, and effect size, with worked rank-sum steps for interpreting the nonparametric comparison.

Measure the average distance from the arithmetic mean with MiniWebtool’s Mean Absolute Deviation (MAD) Calculator. Worked deviations and a visualization show how individual observations contribute to this measure of spread.

MiniWebtool’s Mean Calculator adds your values and divides by their count to obtain the arithmetic average. The worked formula and companion statistics provide context about the dataset rather than leaving the mean as an isolated number.

Compare different summaries of a dataset using MiniWebtool’s Mean Median Mode Calculator. It reports the arithmetic average, middle value, most frequent values, and range, with frequency analysis and worked explanations.

For a spread measure less affected by extreme observations, MiniWebtool’s Median Absolute Deviation Calculator finds the median distance from the dataset’s median. Worked steps and outlier analysis compare this MAD with standard deviation.

Find the middle of an ordered dataset with MiniWebtool’s Median Calculator. Paste comma-, space-, or line-separated numbers to see the sorting and median calculation, together with minimum, maximum, and range.

The midrange lies halfway between a dataset’s minimum and maximum. MiniWebtool’s Midrange Calculator shows this calculation visually and compares it with the mean, median, and range, highlighting a summary that depends only on the extremes.

Find which values occur most often with MiniWebtool’s Mode Calculator. A frequency visualization and worked analysis identify a single mode, multiple modes, or no distinct mode, alongside companion dataset statistics.

MiniWebtool’s Normal Distribution Calculator finds density, cumulative probability, or a quantile for a specified normal distribution. A bell curve shades the relevant area to distinguish interval probability from a single-point density value.

Analyze a 2×2 outcome table with MiniWebtool’s Odds Ratio Calculator. Odds ratio, relative risk, confidence intervals, and related measures come with worked steps and a forest plot; interpreting them depends on study design and the underlying data.

MiniWebtool’s Outlier Calculator applies interquartile-range fences to a numerical dataset. It shows Q1, Q3, IQR, fence calculations, and flagged values, helping identify observations worth examining without automatically treating them as errors.

Convert a test statistic into a p-value using MiniWebtool’s p-Value Calculator. Supported z, t, chi-square, and F distributions require their relevant parameters and tail selection, linking the result to a specified hypothesis test.

Rank categories and inspect their cumulative share in MiniWebtool’s Pareto Chart Generator. Bars, a cumulative-percentage line, and your chosen threshold reveal which categories account for most of the total, whether or not they follow an 80/20 pattern.

Calculate the value at any percentile in a dataset, or determine the percentile rank of a specific value, with MiniWebtool’s Percentile Calculator. Choose linear, nearest rank or exclusive interpolation methods, with a step-by-step breakdown and visualization.

MiniWebtool’s Population Standard Deviation Calculator measures spread when the supplied values represent the complete population. It divides squared deviations by N and shows the mean, variance, and standard deviation with worked calculations.

Divide an ordered dataset into quarters with MiniWebtool’s Quartile Calculator. It shows Q1, median, Q3, and IQR, with step-by-step calculations, a box plot, and values flagged by the outlier rule.

MiniWebtool’s Quartile Deviation Calculator measures half the interquartile range. A complete quartile breakdown, box plot, and worked formula connect this semi-interquartile spread measure with the middle half of the dataset.

MiniWebtool’s Range Calculator subtracts a dataset’s minimum from its maximum. Review the calculation alongside quartiles and a distribution chart to see the spread that the range summarizes.

MiniWebtool’s Root Mean Square Calculator squares a set of values, averages them, and takes the square root. Review the RMS result with the working and visual context for data or signal analysis.

Paste data from Excel or type values into MiniWebtool’s Relative Standard Deviation (RSD) Calculator to get %RSD, CV, mean and standard deviation with step-by-step working. Choose sample (n-1) or population (n) standard deviation.

MiniWebtool’s Sample Mean Calculator finds the arithmetic average of a dataset. See the sum-and-count calculation, observations’ deviations from the mean, and a distribution view for context.

Plan a survey’s sample size with MiniWebtool’s Sample Size Calculator. Choose confidence level, margin of error, expected response proportion, and optional population size to apply the corresponding sample-size formula.

MiniWebtool’s Sample Standard Deviation Calculator measures spread using the n−1 denominator. Enter sample values to see standard deviation and variance, along with center, range, and optional outlier flags.

Plot paired observations with MiniWebtool’s Scatter Plot Maker. Add labels and styling, examine correlation or a fitted trend line, and download a PNG chart to use with your analysis.

MiniWebtool’s Six Sigma Process Capability Calculator compares a process with specification limits. Supply summary statistics or raw measurements to calculate capability indices, sigma level, estimated defects per million, and yield under the model.

MiniWebtool’s Spearman Rank Correlation Calculator measures the monotonic association between paired datasets. It shows assigned ranks, handles ties, and provides a scatter plot and significance calculation alongside rho.

Summarize numerical spread with MiniWebtool’s Standard Deviation Calculator. Enter a dataset to see standard deviation, variance, mean, and supporting statistics, with calculation steps and visualizations.

MiniWebtool’s Standard Error Calculator estimates uncertainty in a sample mean from observed data. Review SEM, the selected confidence interval, calculation steps, and charts alongside the sample’s descriptive statistics.

Get a numerical overview with MiniWebtool’s Statistics Calculator. A dataset produces counts, totals, measures of center and spread, quartiles, and outlier flags, including geometric or harmonic means where applicable.

Compare sample means with MiniWebtool’s t-Test Calculator. Enter group data or supported summary statistics to obtain the selected t-test result, significance level comparison, and effect-size context for interpreting the difference.

MiniWebtool’s Variance Calculator calculates sample variance and population variance with interactive visualization, step-by-step formulas, deviation analysis, and comprehensive statistical insights.

Model lifetime or reliability with MiniWebtool’s Weibull Distribution Calculator. Shape and scale parameters determine probabilities, hazard, percentiles, and summary measures, with graphs showing how the selected distribution behaves.

Standardize an observation with MiniWebtool’s Z-Score Calculator. Enter a value, mean, and standard deviation, or start from z, to see calculation steps and normal-distribution probability and percentile context.

Plot one or more data series using MiniWebtool’s 📈 Line Graph Maker. Enter labels and up to 200 points, choose markers, curves, or area fill, then download the resulting chart as PNG or SVG.

Enter labels and values for up to 50 bars in MiniWebtool’s Bar Graph Maker, then choose a direction and color theme to download a PNG or SVG.

Show how categories contribute to a total in MiniWebtool’s 🥧 Pie Chart Maker. Enter up to twenty labeled slices, choose a pie or donut presentation, and download the chart as PNG or SVG.