The change in total ozone between the seasonal periods April to June and July to September at Macquarie Island (Australia, 55¿S, 159¿E) are shown to be highly statistically significant during the latter half of the 1980s when compared to the seasonal changes observed over the period 1963--79. These results support a previous analysis by the author which indicated significant winter ozone decreases using a less rigorous method and a shorter time series.