# The Percentile Program

The Percentile Program handles all aspects of percentile calculations within the context of neuropsychological and psychological assessment. The Percentile Program will:

- Calculate percentiles when provided with raw scores, means, and standard deviations.
- Convert among percentiles, scaled scores, standard scores, t-scores, and z-scores.
- Perform inverse percentile calculations, where you begin with a percentile and work backward to calculate scaled scores, standard scores, t-scores, and z-scores.
- The Percentile Program also has an age calculator and a regular numerical calculator.

## Accuracy

The Percentile Program is highly accurate. The algorithm to calculate percentiles uses a polynomial approximation of the cumulative area under the normal curve. This algorithm is described in the "Handbook of Mathematical Functions with Formulas, Graphs & Mathematical Tables," edited by Milton Abramowitz and Irene A. Stegun (published by Dover Publications, 1972). The absolute error in this algorithm is less than 7.5 x 10^{-8}, making these calculations accurate to about seven decimal places.

Inverse percentile calculations are accomplished with an approximation of the inverse normal cumulative distribution function. The absolute error in
this algorithm is less than 1.15 x 10^{-9}, making these calculations accurate to about eight decimal places.

## Screenshots

**Raw Scores Module:**

**Score Converter:**

**Age Calculator:**

**Numerical Calculator:**

## System Requirements

The Percentile Program requires Windows XP, 7, 10, or 11. It will not run on a smartphone, tablet, or Mac.

## Download

Click below to download the Percentile Program installation package (2.4 MB):