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Descriptive Statistics
Calculate mean, median, mode, standard deviation, variance, and quartiles for any dataset with visual histograms.
- Outlier detection (IQR method)
- Skewness and kurtosis analysis
- Frequency distribution tables
Probability Calculator
Calculate probabilities for discrete and continuous distributions including binomial, Poisson, and normal distributions.
- Cumulative distribution functions
- Probability density visualization
- Random variable generators
Hypothesis Testing
Perform t-tests, z-tests, chi-square tests, and ANOVA with step-by-step significance testing and p-value interpretation.
- One-sample and two-sample tests
- Paired and independent t-tests
- Type I/II error probability
Regression Analysis
Perform linear and multiple regression analysis with coefficient significance testing and model diagnostics.
- R-squared and adjusted R-squared
- Residual analysis plots
- Confidence intervals for predictions
Confidence Intervals
Calculate confidence intervals for means, proportions, and differences with customizable confidence levels.
- Margin of error visualization
- Sample size determination
- Finite population correction
Bayesian Calculator
Perform Bayesian inference with prior distributions, likelihood functions, and posterior probability analysis.
- Conjugate prior selection
- Markov Chain Monte Carlo simulation
- Bayes factor computation
Sample Size Calculator
Determine optimal sample sizes for surveys, experiments, and clinical trials with power analysis.
- Margin of error specifications
- Statistical power calculations
- Effect size estimation
Time Series Analysis
Analyze time-dependent data with moving averages, exponential smoothing, and seasonal decomposition.
- Autocorrelation function (ACF)
- Stationarity testing
- Forecast error metrics (MAE, RMSE)
Research Essentials
Descriptive Statistics
Hypothesis Testing
Regression Analysis
Sample Size
Academic Research Workflow
1
Input Your Data
Enter datasets or summary statistics with variable labeling
2
Select Analysis
Choose appropriate statistical tests based on data type
3
Interpret Results
Understand p-values, confidence intervals, and effect sizes
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