How to calculate the quantile of a multidimensional array?

How to calculate the quantile of a multidimensional array?

For multidimensional arrays , quantile operates along the first nonsingleton dimension of X. Y = quantile (X,N) returns quantiles for N evenly spaced cumulative probabilities (1/ ( N + 1), 2/ ( N + 1)., N / ( N + 1)) for integer N >1. If X is a vector, then Y is a scalar or a vector with length N.

Which is the best formula for weighted quantiles?

The exact formula for weighted quantiles depends on the used quantile estimator for the non-weighted case. In this post, we consider two estimator kinds: It’s the most popular quantile estimator which is used by default in R, Julia, NumPy, Excel ( PERCENTILE, PERCENTILE.INC ), Python ( inclusive method).

How to calculate the quantile for each column of X?

Calculate the 0.3 quantile for each column of X ( dim = 1). quantile returns a row vector y when calculating one quantile for each column of a matrix. For example, -0.3013 is the 0.3 quantile of the first column of X with elements (0.5377, 1.8339, -2.2588, 0.8622).

Is the Harrell Davis weighted quantile estimator correct?

It explains only the general concept of weighted quantiles, but it doesn’t provide any details. Although the main idea looks correct (it uses ECDF), it’s hard to check and reuse it. Also, I found some implementations of weighted quantiles: Has a critical bug, doesn’t work. Designed only for the Harrell-Davis quantile estimator.

How to calculate the quantiles of a data set?

Calculate the quantiles of a data set for a given number of quantiles. Generate a data set of size 10. Calculate four evenly spaced quantiles. Using y = quantile (x, [0.2,0.4,0.6,0.8]) is another way to return the four evenly spaced quantiles. Calculate the quantiles along the columns and rows of a data matrix for specified probabilities.

How to calculate evenly spaced quantiles in MATLAB?

Calculate the evenly spaced quantiles along the columns and rows of a data matrix. Generate a 6-by-10 data matrix. X = 6×7 9 3 10 8 7 8 7 10 6 5 10 8 1 4 2 10 9 7 8 3 10 10 10 2 1 4 1 1 7 2 5 9 7 1 5 1 10 10 10 2 9 4 Calculate three evenly spaced quantiles for each column of X ( dim = 1).

How to calculate the quartiles of a column vector?

Using y = quantile (x,3) is another way to compute the quartiles of x. These results might be different than the textbook definitions because quantile uses Linear Interpolation to find the median and quartiles. Calculate exact and approximate quantiles of a tall column vector for a given probability.