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2013 Jun 14
2
significance testing for the difference in the ratio of means
...and not assuming equal variance:
m1 = mean of (control group) n = 7
m2 = mean of (control group w/ treatment) n= 10
m3 = mean of (test group) n = 8
m4 = mean of (test group w/ treatment) n = 9
H0: m2/m1 = m4/m3
restated,
H0: m2/m1 - m4/m3 = 0;
Method 1: Fieller's Intervals
Use fieller's theorum available in R as part of the mratios package. This
is a promising way to compute standard error/confidence intervals for each
of the two ratios but will not yield p-values for significance testing.
Significance by non-overlap of confidence intervals is too stringent a
test and will lead to frequ...