Q‑Score Calculator Q‑Score Calculator Enter the awareness percentage (the % of people who recognize the subject) and the favorability percentage (the % of people who have a positive view). The Q‑Score is computed as: $$ \text{Q‑Score} = \frac{\text{Awareness} \times \text{Favorability}}{100}. $$ * Ensure values are between 0 and 100. Step 1: Enter Parameters Awareness (%): […]
Read MorePareto Distribution Variance Calculator Pareto Distribution Variance Calculator Enter the scale parameter \( x_m \) and the shape parameter \(\alpha\) to calculate the variance of the Pareto distribution. * Note: The variance exists only if \(\alpha > 2\). For \(\alpha \le 2\), the variance is undefined (infinite). Step 1: Enter Parameters Scale Parameter, \( x_m […]
Read MorePareto Distribution Sample Generator Pareto Distribution Sample Generator Enter the scale parameter \( x_m \), the shape parameter \(\alpha\), and the desired sample size \( n \). The generator uses inverse transform sampling: $$ x = \frac{x_m}{(1-u)^{1/\alpha}}, $$ where \( u \sim \text{Uniform}(0,1) \). * Ensure \( x_m > 0 \), \(\alpha > 0\), and […]
Read MorePareto Distribution Mode Calculator Pareto Distribution Mode Calculator Enter the scale parameter \( x_m \) and the shape parameter \(\alpha\) to calculate the mode of the Pareto distribution. * Note: The mode of the Pareto distribution is always equal to the scale parameter \( x_m \), regardless of \(\alpha\). Step 1: Enter Parameters Scale Parameter, […]
Read MorePareto Distribution Median Calculator Pareto Distribution Median Calculator Enter the scale parameter \( x_m \) and the shape parameter \(\alpha\) to calculate the median of the Pareto distribution. * Ensure \( x_m > 0 \) and \(\alpha > 0\). Step 1: Enter Parameters Scale Parameter, \( x_m \): e.g., 1 Shape Parameter, \(\alpha\): e.g., 2 […]
Read MorePareto Distribution Mean Calculator Pareto Distribution Mean Calculator Enter the scale parameter \( x_m \) and the shape parameter \(\alpha\) to calculate the mean of the Pareto distribution. * Note: The mean exists only if \(\alpha > 1\). For \(\alpha \le 1\), the mean is undefined (infinite). Step 1: Enter Parameters Scale Parameter, \( x_m […]
Read MorePareto Distribution Inverse CDF Calculator Pareto Distribution Inverse CDF Calculator Enter a probability \( u \) (with \( 0 \le u < 1 \)), the scale parameter \( x_m \), and the shape parameter \(\alpha\). The quantile is computed as: $$ x = \frac{x_m}{(1-u)^{1/\alpha}}. $$ * Ensure \( x_m > 0 \), \(\alpha > 0\), […]
Read MorePareto Distribution CDF Calculator Pareto Distribution CDF Calculator Enter a value \(x\), along with the scale parameter \(x_m\) and shape parameter \(\alpha\). The CDF is computed as: $$ F(x) = 1 – \Bigl(\frac{x_m}{x}\Bigr)^\alpha \quad \text{for} \quad x \ge x_m, $$ and \( F(x) = 0 \) for \( x < x_m \). * Ensure \( […]
Read MorePareto Distribution PDF Calculator Pareto Distribution PDF Calculator Enter a value \(x\), along with the scale parameter \(x_m\) and shape parameter \(\alpha\). The PDF is computed as: $$ f(x) = \frac{\alpha x_m^\alpha}{x^{\alpha+1}} \quad \text{for} \quad x \ge x_m, $$ and \( f(x) = 0 \) for \( x < x_m \). * Ensure \( x_m […]
Read MoreF-Test P‑Value Calculator F‑Test P‑Value Calculator Enter your F‑test statistic along with the numerator degrees of freedom (\(d_1\)) and denominator degrees of freedom (\(d_2\)). The p‑value is computed as: $$ p = 1 – I_{\frac{d_1 F}{d_1 F + d_2}}\Bigl(\frac{d_1}{2},\frac{d_2}{2}\Bigr). $$ * Ensure \( F \ge 0 \), \( d_1 \ge 1 \), and \( d_2 […]
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