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The ionosphere introduces chromatic distortions on low frequency radio waves,and thus poses a hurdle for 21-cm cosmology. In this paper we introducetime-varying chromatic ionospheric effects on simulated antenna temperaturedata of a global 21-cm data analysis pipeline, and try to detect the injectedglobal signal. We demonstrate that given turbulent ionospheric conditions, morethan 5\% error in our knowledge of the ionospheric parameters could lead tocomparatively low evidence and high root-mean-square error (RMSE), suggesting afalse or null detection. When using a constant antenna beam for cases thatinclude data at different times, the significance of the detection lowers asthe number of time samples increases. It is also shown that for observationsthat include data at different times, readjusting beam configurations accordingto the time-varying ionospheric conditions should greatly improve thesignificance of a detection, yielding higher evidences and lower RMSE, and thatit is a necessary procedure for a successful detection when the ionosphericconditions are not ideal.

Bayesian Data Analysis for Sky-averaged 21-cm Experiments in the Presence of Ionospheric Effects