This page compares the 1.38um MODIS channel In-Band and Out-of-Band response. 
The out-of-band response is taken from 1% and lower values.  Below is a plot of the response functions along with a
difference image and histogram.

Above is a ratio image of the Out-of-Band to the In-Band.

Above is a histogram of the ratio of MODIS 1.38um Out-of-Band response to In-Band response.  The maximum ratio value
is 0.0267 and the minimum ratio value is 0.0019.  The current ABI manufacturing specifications literature states:
"The out of band response is defined...as one minus the integrated response between the 1% response points divided by the 
integrated response from 0.3 microns to 20 microns.  Out of band response  shall be less than 0.1% (0.001) of the total
signal when viewing either a 300 K blackbody (for channel wavelengths > 3 microns ) or a 100% albedo scene above the atmosphere
assuming no attenuation."  The MODIS 1.38um ratio of Out-of-Band to In-Band response lies outside the ABI requirements, but 
has been shown to sufficiently accomplish 1.38um band desired tasks.  Thus the current ABI requirements are quite sufficient.

Above is a difference image between the (Out-Band + In-Band) - In-Band.

Above is an image of the MODIS 1.38um In-Band radiances.

Above is a histogram of the MODIS 1.38um In-Band radiances.

Above is an image of the MODIS 1.38um Out-of-Band and In-Band radiances.

Above is a histogram of the MODIS 1.38um Out-of-Band and In-Band radiances.
View page where out-band RF has been multiplied by 10.
Similar techniques were applied to the SCAR-B and Linden scenes and produced very similar results.  
Due to high amounts of noise where signal is very small the SCAR-B and Linden ratio images and histograms are not shown.
View noise (at 1.38um w/ a equalization enhancement) for the cirrus scene  linden scene  and scar-b scene.  Notice the Linden and SCAR-B scenes have much more noise than the cirrus scene.