If the differences are not related to magnitude, the mean of the differences provides
an estimate of the average bias between the methods. The limits of agreement estimate the
interval that a given proportion of differences between measurements is likely to lie
within. The limits can be used to determine if the methods can be used interchangeably, or
if a new method can replace an old method without changing the interpretation of the
The mean difference estimate is 2.1, which indicates that the Mini Wright meter reads
on average 2.1 l/min higher than the Wright meter. A hypothesis test could be
performed to determine if this is significantly different from zero. If it is,
adjusting readings from the Mini Wright meter by subtracting 2.1 will make them
agree more closely with the Wright meter.
(click to enlarge)
The limits of agreement estimate an interval of -73.9 to 78.1, which indicates that
the Mini Wright meter may measure as much as 73.9 l/min below and 78.1 l/min above
the large meter. This would be unacceptable for clinical purposes.
The confidence intervals for the mean difference and limits of agreement indicate the
uncertainty in the estimates. The wide intervals are due to the small sample size
and large variation of the differences. Even the most optimistic interpretation
would conclude that the agreement is unacceptable.