How to compare 3d arrays of different length along one dimension?

Same question:

I want to compare the median of 3d arrays along the second dimension (by index step), but the length of different arrays are usually different.

For example (same length):

dat1 <- array(seq(1,   1000), c(100, 70, 100))
dat2 <- array(seq(500, 1500), c(100, 70, 100))

data <- tibble(step = seq(1, length(dat1[1,,1])), 
               md1 = apply(dat1, 2, median), 
               md2 = apply(dat2, 2, median)) %>% 
    gather(md1, md2, key = "dat", value = "median") 

ggplot(data, aes(step, median, color = dat)) + 

enter image description here

But how to compare dat1 with different length dat3 like this:

dat3 <- array(seq(300, 1200), c(100, 55, 100))

I want to bin arrays along the second dimension by every 5% step first, then compare the median of every bin. Is there a method to do this?

Or any suggestions to compare different length 3d arrays? Or is extracting the median of every index then interpolate values to same length a better way?


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