Atkinson Inequality Index

Calculate the Atkinson index A(ε) = 1 – (1/μ)[∑(yᵢⁿ)^(1/n)]^(1/(1-ε)) for measuring income inequality with explicit inequality aversion parameter ε. Higher ε gives more weight to transfers at the bottom of the distribution.

Data set — comma or newline separated
Statistical Results — n = 8
Count (n)8
Sum (Σx)40
Min2
Max9
Range7
Q14
Q35.5
IQR1.5
Mean (μ)5
Median4.5
Mode4
Pop. Variance (σ²)4
Pop. Std Dev (σ)2
Sample Variance (s²)4.571428571
Sample Std Dev (s)2.138089935
Skewness0.65625
Excess Kurtosis-0.21875
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How to Use

Enter the values for the scenario you are assessing. Calculate the Atkinson index A(ε) = 1 – (1/μ)[∑(yᵢⁿ)^(1/n)]^(1/(1-ε)) for measuring income inequality with explicit inequality aversion parameter ε. Higher ε gives more weight to transfers at the bottom of the distribution. Use the atkinson index result to inform your calculation.

Frequently Asked Questions