Hydrology Calculators

Hydrology Calculators | Free Online Water Resource Tools Hydrology Calculators Enhance your hydrology projects with our free online hydrology calculators. Calculate travel time, hydrographs, underdrain requirements, runoff volumes, friction losses, and more to optimize water resource management. Time of Concentration & Travel Time Travel Time / Time of Concentration Calculator Kirpich’s Time of Concentration Calculator […]

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ANOVA F-Test Calculator

ANOVA F-Test Calculator ANOVA F-Test Calculator Calculate the ANOVA F statistic and one-tailed p-value: $$ F = \frac{SSB/dfB}{SSW/dfW}. $$ * Enter the between-group sum of squares (SSB) with its degrees of freedom (dfB) and the within-group sum of squares (SSW) with its degrees of freedom (dfW). Step 1: Enter ANOVA Parameters Between-group Sum of Squares […]

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ANOVA F-Score Calculator

ANOVA F-Score Calculator Calculate the ANOVA F statistic: $$ F = \frac{SSB/dfB}{SSW/dfW}. $$ * Enter the Between-group Sum of Squares (SSB) and its degrees of freedom (dfB), as well as the Within-group Sum of Squares (SSW) and its degrees of freedom (dfW). Step 1: Enter ANOVA Parameters Between-group Sum of Squares (SSB): e.g., 30 Degrees […]

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T-Test Calculator with Graph

T-Test Calculator T-Test Calculator Calculate the t statistic and two-tailed p-value for a hypothesis test using: $$ t = \frac{\bar{x}-\mu_0}{s/\sqrt{n}}. $$ * Enter the sample mean (\( \bar{x} \)), hypothesized mean (\( \mu_0 \)), sample standard deviation (\( s > 0 \)), and sample size (\( n \ge 2 \)). Degrees of freedom: \( n-1 […]

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T-Score Calculator

T-Score Calculator T-Score Calculator Calculate the t-score and two-tailed p-value for a hypothesis test using: $$ t = \frac{\bar{x}-\mu_0}{s/\sqrt{n}}. $$ * Enter the sample mean \( \bar{x} \), hypothesized mean \( \mu_0 \), sample standard deviation \( s \) (with \( s>0 \)), and sample size \( n \). Step 1: Enter Parameters Sample Mean, […]

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Poisson Distribution Variance Calculator

Poisson Distribution Variance Calculator Poisson Distribution Variance Calculator For a Poisson distribution with parameter \( \lambda \), the variance is given by: $$ \sigma^2 = \lambda. $$ * Enter a value for \( \lambda \) (λ > 0). Step 1: Enter Parameter \( \lambda \): e.g., 5 (λ must be > 0) Calculate Variance Calculated […]

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Poisson Distribution Sample Generator

Poisson Distribution Sample Generator Poisson Distribution Sample Generator Generate random samples from a Poisson distribution with rate parameter \(\lambda > 0\). Samples are generated using the inverse transform method (Knuth’s algorithm). * Enter the rate parameter \(\lambda\) and the desired number of samples. Step 1: Enter Parameters Rate Parameter, \(\lambda\): e.g., 3 Number of Samples: […]

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Poisson Distribution Mean Calculator

Poisson Distribution Mean Calculator Poisson Distribution Mean Calculator For a Poisson distribution with rate parameter \(\lambda > 0\), the mean is given by: $$ \mu = \lambda. $$ * Enter the rate parameter \(\lambda\). Step 1: Enter Parameter Rate Parameter, \(\lambda\): e.g., 2 Calculate Mean Calculated Mean Mean of the Poisson Distribution: Recalculate In a […]

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Poisson Distribution CDF Calculator

Poisson Distribution CDF Calculator Poisson Distribution CDF Calculator For a Poisson distribution with rate parameter \(\lambda > 0\), the cumulative distribution function is: $$ F(x;\lambda)= \sum_{i=0}^{x}\frac{\lambda^i\,e^{-\lambda}}{i!},\quad x=0,1,2,\dots $$ * Enter a nonnegative integer \(x\) and a rate \(\lambda\). Step 1: Enter Parameters \(x\) (nonnegative integer): e.g., 3 Rate Parameter, \(\lambda\): e.g., 2 Calculate CDF Calculated […]

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