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### Highlights from Inverse Percentiles of a sample.

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# Inverse Percentiles of a sample.

### Durga Lal Shrestha (view profile)

04 Apr 2013 (Updated )

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

File Information
Description

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)

MATLAB release MATLAB 8.0 (R2012b)
24 Mar 2016 Salman Zaferanlouei

### Salman Zaferanlouei (view profile)

24 Mar 2016 Salman Zaferanlouei

### Salman Zaferanlouei (view profile)

05 Mar 2014 Julia Mikhalevsky

### Julia Mikhalevsky (view profile)

09 Sep 2013 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)