Advanced Statistical Analysis

📊 Advanced Statistical Analysis 14-in-1

📈 descriptive · distributions · hypothesis tests · regression · ANOVA · more

📊 Descriptive Statistics

Data (comma or space separated) 2, 4, 6, 8, 10, 12, 14, 16, 18, 20

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Mean, Median, Mode, Variance, Std Dev, Skewness, Kurtosis, Min, Max, Q1, Q3, IQR, Count, Sum

🔔 Normal Distribution

Mean (μ) Std Dev (σ) X value

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PDF, CDF, Z-score, Percentile

📏 Z-Score Calculator

Raw Score (x) Mean (μ) Std Dev (σ)

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z = (x - μ) / σ · percentile · interpretation

📉 One-Sample T-Test

Sample Data (comma separated) 2, 3, 4, 5, 6, 7, 8, 9, 10 Hypothesized Mean (μ₀)

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t-statistic, df, p-value (two-tailed), confidence interval

📉 Two-Sample T-Test

Sample 1 (comma separated) Sample 2 (comma separated)

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Independent samples t-test · equal variance assumed

📊 Chi-Square Goodness of Fit

Observed (comma separated) Expected (comma separated)

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χ² statistic, df, p-value

📊 Chi-Square Independence

Contingency Table (rows: row1, row2; columns: c1,c2) Row 1 Row 2 Row 3

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χ² statistic, df, p-value for independence

📈 Correlation Coefficient

X values (comma separated) Y values (comma separated)

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Pearson r · r² · interpretation · p-value

📈 Linear Regression

X values (comma separated) Y values (comma separated)

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y = mx + b · R² · predicted values

🎯 Confidence Interval (Mean)

Sample Data (comma separated) 10, 12, 14, 16, 18, 20, 22, 24 Confidence Level (%) 90% 95% 99%

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Confidence interval for population mean

📊 One-Way ANOVA

Group 1 Group 2 Group 3

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F-statistic · p-value · group means

📊 Two-Way ANOVA

Factor A levels (comma separated per row, rows for Factor B) Row 1 Row 2 Row 3

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Two-way ANOVA · main effects · interaction

🎲 Binomial Distribution

n (trials) p (probability) k (successes)

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PMF, CDF, mean, variance

📊 Poisson Distribution

λ (mean) k (events)

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PMF, CDF, mean, variance

📊 Advanced Statistical Analysis – 14-in-1
This comprehensive tool provides essential statistical functions:

1. Descriptive Statistics – mean, median, mode, variance, std dev, skewness, kurtosis, quartiles, IQR.
2. Normal Distribution – PDF, CDF, Z-score, percentile.
3. Z-Score Calculator – convert raw scores to z-scores with interpretation.
4. One-Sample T-Test – test if sample mean differs from hypothesized mean.
5. Two-Sample T-Test – compare means of two independent samples.
6. Chi-Square Goodness of Fit – compare observed vs expected frequencies.
7. Chi-Square Test of Independence – test association in contingency tables.
8. Correlation Coefficient – Pearson's r with p-value.
9. Linear Regression – fit a line, get R² and predictions.
10. Confidence Interval (Mean) – CI at 90%, 95%, or 99%.
11. One-Way ANOVA – compare means across 3+ groups.
12. Two-Way ANOVA – main effects and interaction.
13. Binomial Distribution – PMF, CDF, mean, variance.
14. Poisson Distribution – PMF, CDF, mean, variance.

💡 Tips:
• Enter data as comma-separated or space-separated numbers.
• All calculations are performed client-side – no data is sent anywhere.
• Perfect for students, researchers, and data analysts.

📖 Advanced Statistical Analysis – detailed guide

📊 Descriptive Statistics
Enter numbers separated by commas or spaces. Calculates mean, median, mode, variance, standard deviation, skewness, kurtosis, min, max, Q1, Q3, IQR, count, and sum.

🔔 Normal Distribution
Enter mean (μ), standard deviation (σ), and an X value. Returns PDF (probability density), CDF (cumulative probability), Z-score, and percentile.

📏 Z-Score Calculator
Converts raw scores to z-scores: z = (x - μ) / σ. Shows percentile and interpretation (above/below mean).

📉 One-Sample T-Test
Tests if sample mean differs from a hypothesized mean (μ₀). Returns t-statistic, df, p-value, and 95% confidence interval.

📉 Two-Sample T-Test
Compares means of two independent samples. Returns t-statistic, df, p-value, and means.

📊 Chi-Square Goodness of Fit
Compares observed frequencies to expected frequencies. Returns χ² statistic, df, and p-value.

📊 Chi-Square Test of Independence
Tests for association between two categorical variables in a contingency table. Returns χ² statistic, df, and p-value.

📈 Correlation Coefficient
Calculates Pearson's r between two variables. Returns r, r², interpretation, and p-value.

📈 Linear Regression
Fits a line y = mx + b to the data. Returns slope, intercept, R², and predicted values.

🎯 Confidence Interval (Mean)
Computes the confidence interval for the population mean at 90%, 95%, or 99% confidence levels.

📊 One-Way ANOVA
Compares means of 3 or more groups. Returns F-statistic, p-value, and group means.

📊 Two-Way ANOVA
Analyzes the effect of two categorical factors and their interaction. Returns F-statistics and p-values.

🎲 Binomial Distribution
Calculates PMF (P(X=k)), CDF (P(X≤k)), mean (np), and variance (np(1-p)).

📊 Poisson Distribution
Calculates PMF (P(X=k)), CDF (P(X≤k)), mean (λ), and variance (λ).

⚡ All tools work offline · perfect for students and researchers

✅ advanced statistical analysis · 14-in-1 · dynamic · no server