File Exchange

## Inverse Percentiles of a sample.

version 1.2.0.0 (8.4 KB) by Durga Lal Shrestha

### Durga Lal Shrestha (view profile)

Calculates the non-exceedance probability (inverse of prctile) for xq values from sample of data x.

Updated 11 Sep 2014

USAGE
p = INVPRCTILE(x,xq)
p = INVPRCTILE(x,xq,dim)
p = INVPRCTILE(x,xq,dim,plot_pos)

INPUT:
x - Vector or Matrix of sample data
q - Values for non-exceedance probabilities to be computed.
q can be scalar or vector
dim - Dimension for matrix to be worked for non-exceedance probability
plot_pos - plotting positions that determine interpolation method

OUTPUT:
p - Non-exceedance probabilities values for q.

When x is a vector, p is the same size as xq, and p(i) contains the non-exceedance probability for xq(i) value.

When x is a matrix, the i-th row of p contains
the non-exceedance probability for xq(i)-values of each column of x.

For N-D arrays, INVPRCTILE operates along the first non-singleton dimension.

EXAMPLES:
x = rand(100,1);
q = [0.1 0.25 0.8];
p = invprctile(x,q);
% Check with prctile to get back the same results
qvalues = prctile(x,p)

### Cite As

Durga Lal Shrestha (2020). Inverse Percentiles of a sample. (https://www.mathworks.com/matlabcentral/fileexchange/41131-inverse-percentiles-of-a-sample), MATLAB Central File Exchange. Retrieved .

ipek ciftci

### ipek ciftci (view profile)

It seems to work perfectly. thanks a lot!

Wim Thiery -HYDR-

Evangelos Rozos

### Evangelos Rozos (view profile)

Salman Zaferanlouei

### Salman Zaferanlouei (view profile)

Salman Zaferanlouei

### Salman Zaferanlouei (view profile)

Julia Mikhalevsky

Terry

### Terry (view profile)

Nice one! Seems to work well.

Would be nice to add a check that if only one argin is entered (one column/vector) - then it calcs inverse prctile on each entry of the column/vector.

For example, I have a vector
myvector=[0.8 0.5 .2 0.6 0.8 0.5 0.3 0.6 0.9 1.3]'
and I want to find what percentile each corresponds to, so I run
invprctile(myvector,myvector)

It would be a bit cleaner to be able to just call invprctile(myvector)