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Gamma Distribution Median Calculator

Quickly calculate the median of a Gamma distribution with specified shape (α) and scale (β) parameters. Ideal for analyzing skewed data in healthcare, insurance, and environmental studies. Gamma Distribution Median Calculator Gamma Distribution Median Calculator For a Gamma distribution with shape parameter \(\alpha\) and scale parameter \(\theta\), the CDF is $$ F(x;\alpha,\theta)=\frac{\gamma\left(\alpha,\frac{x}{\theta}\right)}{\Gamma(\alpha)}. $$ The median […]

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Gamma Distribution Mean Calculator

Gamma Distribution Mean Calculator Gamma Distribution Mean Calculator For a Gamma distribution with shape parameter \( \alpha \) and scale parameter \( \theta \), the mean is given by: $$ \text{Mean} = \alpha \cdot \theta. $$ * Enter \( \alpha \) (must be \(>0\)) and \( \theta \) (must be \(>0\)). Step 1: Enter Parameters […]

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Gamma Distribution CDF Calculator

Calculate cumulative probabilities for Gamma distribution instantly using shape (α), scale (β), and input value. Essential for statisticians, analysts, and researchers needing accurate results Gamma Distribution CDF Calculator Gamma Distribution CDF Calculator For a Gamma distribution with shape parameter \(\alpha\) and scale parameter \(\theta\), the CDF is given by: $$ F(x;\alpha,\theta)=\frac{\gamma\left(\alpha,\frac{x}{\theta}\right)}{\Gamma(\alpha)}. $$ * Enter \( […]

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Travel Time / Time of Concentration Calculator

Travel Time / Time of Concentration Calculator Travel Time / Time of Concentration Calculator Calculate the travel time (or time of concentration) for channelized or shallow concentrated flow. \( V = \frac{1.49}{n}\, R^{\frac{2}{3}} \sqrt{S} \) and \( T = \frac{L}{V} \) * Enter the flow length \(L\) (ft), channel slope \(S\) (ft/ft), Manning’s roughness \(n\), […]

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Triangle Hydrograph Method Calculator

Triangle Hydrograph Method Calculator Triangle Hydrograph Method Calculator Calculate the peak discharge using a triangular hydrograph: \( V = \frac{Q_p \times T}{2} \)  →  \( Q_p = \frac{2V}{T} \) * Enter the runoff volume (ft³) and hydrograph duration (s). Step 1: Enter Parameters Runoff Volume, \(V\) (ft³): Example: 10,000 ft³ Hydrograph Duration, \(T\) (s): Example: […]

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Double-End Area Method Calculator

Double-End Area Method Calculator Calculate the peak discharge from a hydrograph using the double-end area method. Runoff Volume: \( V \) (ft³) Rising Limb: duration \( t_r \) (s) with shape factor \( \alpha \) Falling Limb: duration \( t_f \) (s) with shape factor \( \beta \) * For a triangular hydrograph, use \( […]

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Hydrograph Method Peak Discharge Calculator

Hydrograph Method Peak Discharge Calculator Hydrograph Method Peak Discharge Calculator Estimate the peak discharge from a rainfall event using a simplified triangular hydrograph method. Runoff Volume: \( V = R \times A \times 27878.4 \) (ft³) Peak Discharge: \( Q_p = \frac{2V}{T} \) (ft³/s) * Enter the watershed area (acres), rainfall excess (inches), and runoff […]

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Required Underdrain Lateral Spacing Calculator

Required Underdrain Lateral Spacing Calculator Required Underdrain Lateral Spacing Calculator Calculate the required spacing for underdrain laterals using: \( S = \frac{A}{L} \) * Enter the drainage area to be served \(A\) (ft²) and the lateral length \(L\) (ft). Step 1: Enter Parameters Drainage Area, \(A\) (ft²): Example: 5000 ft² Lateral Length, \(L\) (ft): Example: […]

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Underdrain System Discharge Calculator

Underdrain System Discharge Calculator Underdrain System Discharge Calculator Calculate the discharge of an underdrain system using the formula: \(\displaystyle Q = \frac{K_s \times A_d \times (H_{in} – H_{out})}{L_d}\) * Enter the hydraulic conductivity \(K_s\) (ft/day), effective underdrain area \(A_d\) (ft²), inlet head \(H_{in}\) (ft), outlet head \(H_{out}\) (ft), and flow length \(L_d\) (ft). Step 1: […]

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Area Served by Underdrain Laterals Calculator

Area Served by Underdrain Laterals Calculator Calculate the drainage area served by underdrain laterals using the formula: \( A = L \times S \) * Enter the lateral length \(L\) (ft) and lateral spacing \(S\) (ft). Step 1: Enter Parameters Lateral Length, \(L\) (ft): Example: 100 ft Lateral Spacing, \(S\) (ft): Example: 50 ft Calculate […]

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