Continuous Distributions
Interactive calculators for continuous probability distributions:
- Normal Distribution - Z-scores, probabilities, percentiles, and inverse calculations
- t-Distribution - Critical values, confidence intervals, and p-values
- F-Distribution - ANOVA, variance ratio tests, and critical values
- Chi-Square Distribution - Goodness of fit, variance tests, and critical values
- Exponential & Gamma - Waiting times and reliability analysis
- Beta & Uniform - Bounded continuous distributions
Discrete Distributions
Calculators for discrete probability distributions:
- Binomial Distribution - Success/failure trials, exact and cumulative probabilities
- Poisson Distribution - Rare events, count data, rate calculations
- Hypergeometric Distribution - Sampling without replacement
- Negative Binomial - Number of trials until r successes
- Geometric Distribution - Trials until first success
Test Hypothesis Distributions
Comprehensive hypothesis testing tools:
- t-Tests - One-sample, two-sample (independent & paired), Welch's t-test
- ANOVA - One-way, two-way, repeated measures, and post-hoc tests
- Chi-Square Tests - Independence, goodness of fit, homogeneity
- Proportion Tests - One proportion, two proportions, multiple proportions
- Correlation Tests - Pearson, Spearman, partial correlation
- Non-parametric Tests - Mann-Whitney, Kruskal-Wallis, Wilcoxon, Friedman
Call Center Staffing Calculator
Optimize staffing levels for call centers and service operations:
- Erlang C Calculator - Queue waiting times, service level calculations
- Staffing Optimization - Determine optimal number of agents for target service levels
- Monte Carlo Simulation - Model complex arrival patterns and service variations
- Performance Metrics - Average speed of answer (ASA), abandonment rates, occupancy
- Scenario Analysis - Compare different staffing strategies and schedules
- Cost Analysis - Balance service quality with staffing costs
Power & Sample Size Calculator
Determine optimal sample sizes and statistical power using advanced methods:
- t-Tests Power Analysis - One-sample, two-sample, paired comparisons
- ANOVA Power Analysis - F-tests with non-central F distributions
- Non-Central Distributions - Accurate power calculations for t and F tests
- Correlation & Regression - Power for correlation coefficients and R²
- Proportion Tests - Sample size for one and two proportion tests
- Interactive Visualization - Power curves, effect size relationships, sample size trade-offs
Quality Control Calculator
Statistical process control and quality management tools:
- Control Charts - X-bar, R, S, p, np, c, u charts with control limits
- Process Capability - Cp, Cpk, Pp, Ppk indices and sigma levels
- Acceptance Sampling - Single, double, and sequential sampling plans
- Six Sigma Tools - DPMO, sigma level conversions, process yield
- Measurement System Analysis - Gage R&R, repeatability and reproducibility
- Pareto Analysis - Identify and prioritize quality issues