Tukey’s Range Test Calculator

Tukey’s HSD Test Calculator Tukey’s HSD Test Calculator Enter the number of groups, error degrees of freedom, MSE, sample size per group, and significance level. HSD is computed as: HSD = q₍crit₎ × √(MSE/n), where q₍crit₎ is the Studentized Range critical value. Step 1: Enter Parameters Number of Groups (k): e.g., 3 Error Degrees of […]

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One Sample Z-Test Calculator

Use this calculator to perform a one-sample z-test, comparing a sample mean to a known population mean when the population standard deviation is known. Enter the sample mean, population mean, population standard deviation, and sample size to get the z-statistic and approximate two-tailed p-value. This tool is for educational and preliminary analysis only. One Sample […]

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Joint Probability Calculator

Joint Probability Calculator Calculate the joint probability of two independent events using: \[ P(A \cap B) = P(A) \times P(B) \] * Enter the probabilities as decimals (e.g., 0.3 for 30%). Step 1: Enter Event Probabilities Probability of Event A, \( P(A) \): Example: 0.3 for 30% Probability of Event B, \( P(B) \): Example: […]

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Noncentral t-Distribution CDF Calculator

Noncentral t Distribution CDF Calculator Noncentral t Distribution CDF Calculator For the Noncentral t distribution with degrees of freedom \( \nu \) and noncentrality parameter \( \delta \), the cumulative distribution function is given by: $$ F(t; \nu, \delta) = \Phi(-\delta) + \sum_{j=0}^{\infty} \frac{e^{-\delta^2/2} (\delta^2/2)^j}{j!} I\left(\frac{t^2}{t^2+\nu}; \frac{1}{2}, \frac{\nu}{2}+j\right). $$ * Enter the t-value, degrees of […]

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Projectile Motion Calculator

Projectile Motion Calculator Projectile Motion Calculator Calculate time of flight, maximum height, and range for a projectile. Using the formulas: Time of Flight: \( T = \frac{2v_0\sin\theta}{g} \) Maximum Height: \( H = \frac{v_0^2\sin^2\theta}{2g} \) Range: \( R = \frac{v_0^2\sin(2\theta)}{g} \) * Enter initial speed (m/s), launch angle (°), and gravitational acceleration (m/s²). Step 1: […]

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Coefficient of Variation Calculator

Coefficient of Variation Calculator Coefficient of Variation Calculator Mean (µ): Standard Deviation (σ): Calculate Coefficient of Variation Reset Coefficient of Variation Calculator – Educational Guide Coefficient of Variation Calculator Welcome to our Coefficient of Variation Calculator! This tool is designed to help you assess the relative variability of your data sets by calculating the Coefficient […]

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Adjusted R-Square Calculator (Population R-Square)

This tool helps you estimate the adjusted R-square (sometimes referred to as population R²) for your regression model. By accounting for the number of predictors and sample size, adjusted R-square provides a more accurate measure of model fit that doesn’t inflate with the addition of extra predictors. For critical analyses, verify results with professional statistical […]

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Indirect Mediation Effect Variance Calculator

Indirect Mediation Effect Variance Calculator Indirect Mediation Effect Variance Calculator Enter the coefficients \(a\) and \(b\) along with their standard errors \(s_a\) and \(s_b\) to calculate the indirect effect, its variance, and standard error. * Note: Variance is computed as \(b^2 s_a^2 + a^2 s_b^2\) and Standard Error as \(\sqrt{b^2 s_a^2 + a^2 s_b^2}\). Step […]

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