Category: Statistics Calculator

  • Kurtosis Calculator

    Kurtosis Calculator

    Kurtosis (β₂)

    Enter central moments

    Formula:

    Kurtosis
    β2 = μ4 / μ22

    Where:
    μ2 = Second central moment (variance)
    μ4 = Fourth central moment
  • Skewness Calculator

    Skewness Calculator

    Skewness (γ₁)

    Enter central moment and standard deviation

    Formula:

    Skewness
    γ1 = μ3 / σ3

    Where:
    μ3 = Third central moment
    σ = Standard deviation
  • LSD Calculator

    LSD Calculator

    Least Significant Difference (LSD)

    Enter t-value and standard error of difference

    Formula:

    Least Significant Difference
    LSD = t × SEd

    Where:
    t = Tabulated t-value at given df & probability
    SEd = Standard error of difference
  • Critical Difference Calculator

    Critical Difference Calculator

    Critical Difference (CD)

    Enter t-value and Standard Error of Difference

    Formula:

    Critical Difference
    CD = t × SEd

    Where:
    t = Tabulated t-value at given df & probability level
    SEd = Standard error of difference
  • F-ratio Calculator

    F-ratio Calculator

    F-ratio (F-test)

    Enter mean square values

    Formula:

    F-ratio
    F = MSt / MSe

    Where:
    MSt = Mean square due to treatments
    MSe = Mean square due to error
  • Error Variance Calculator

    Error Variance Calculator

    Error Variance (σₑ²)

    Enter Mean Square Error (MSE)

    Formula:

    Error Variance
    σe2 = MSE

    Where:
    MSE = Mean square due to error
  • Coefficient of Determination Calculator

    Coefficient of Determination Calculator

    Coefficient of Determination (R²)

    Enter correlation coefficient (r)

    Formula:

    Coefficient of Determination
    R2 = r2

    Where:
    r = Correlation coefficient
  • Z- score Calculator

    Z-score Calculator

    Z-score

    Enter value, mean and standard deviation

    Formula:

    Z-score
    Z = (X − μ) / σ

    Where:
    X = Observed value
    μ = Population mean
    σ = Standard deviation
  • Relative Frequency Calculator

    Relative Frequency Calculator

    Relative Frequency (%)

    Enter frequency values

    Formula:

    Relative Frequency
    Relative Frequency (%) = (Frequency / Total) × 100
  • Relative Density Calculator

    Relative Density Calculator

    Relative Density (%)

    Enter density values

    Formula:

    Relative Density
    Relative Density (%) = (Density / Total density) × 100