Washing machine appliance out-of-balance detection

A washing machine appliance and method of operation is provided. The washing machine appliance has a tub and a basket rotatably mounted within the tub. The basket defines a chamber for receipt of articles for washing. The method includes performing a wash cycle, the wash cycle including flowing a volume of liquid into the tub, agitating articles within the tub, draining liquid from the tub after agitating the articles, and spinning the basket after draining liquid from the tub. The method further includes measuring movement of the tub during the wash cycle, wherein measuring movement includes detecting movement of the tub as one or more displacement amplitudes using an accelerometer and a gyroscope, determining whether the displacement amplitudes meet one or more predetermined criteria, and generating a filtered value set based on the displacement amplitudes determined to meet the one or more predetermined criteria.