mrpargeter
mrpargeter

Reputation: 329

How to calculate confidence interval for proportion of means

I have a variable (v_1) calculated as the ratio of the mean for variable 2 (v_2) and variable 3 (v_3). How do I calculate a confidence interval for this ratio?


v_2<-c(1,5,6,3,4,9,7,3,2,5,6,7)
v_3<-c(7,11,22,5,4,3,8)

v_2_mean<-mean(v_2)
v_3_mean<-mean(v_3)

v_1<-v_2_mean/v_3_mean

Upvotes: 0

Views: 224

Answers (1)

the-mad-statter
the-mad-statter

Reputation: 8936

This page on cross validated suggests that if you are willing to make the assumption of Gaussian distribution in both samples, the mratios package contains the function ttestratio() which will perform a t-test for the ratio. More importantly for you, it will also calculate a confidence interval:

v_2 <- c(1,5,6,3,4,9,7,3,2,5,6,7)
v_3 <- c(7,11,22,5,4,3,8)

mratios::ttestratio(v_2, v_3)$conf.int[1:2]

# [1] 0.3000213 1.6524510

Upvotes: 2

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