# How to use RSSI (Received Signal Strength) data to find out a wireless channel model?

I am trying to obtain the distribution of RSSI measurements collected from 802.15.4 devices like Zolertia Re-Motes. These devices provide RSSI values in dBm units with +/-1 dBm error in measurements. I have collected RSSI data in indoor environments and try to fit a distribution to RSSI data assuming Ricean fading.
Cumulative distribution function plots and Quantile-Quantile plots look promising for estimated distributions, but hypothesis tests like Kolmogorov-Smirnov two-sample test, $$\chi^2$$ tests are failing even with very low significance level.
I would like to know if it is okay to apply Hypothesis tests for checking distributions fitness to the data. The estimation procedure is as follows:
1. $$\chi^2$$ goodness of fit test: 36000 RSSI observations are used to compare the frequency distribution w.r.t. estimated pdf.