# [R] chi square

Federico Calboli f.calboli at ucl.ac.uk
Fri Feb 28 16:21:02 CET 2003

```Hi All,

I woul like to ask you a couple of questions on chisq.test.

First, I have 40 flies, 14 males and 26 females and I want to test for an a
priori hypothesis that the sex ratio is 1:1

sex<-c(14,26)
pr<-c(1,1)/2
chisq.test(se, p=pr, correct=TRUE)

Chi-squared test for given probabilities

data:  sex
X-squared = 3.6, df = 1, p-value = 0.05778

If my calculations are correct, this is the Chi-square without the Yates
correction. The value after correction would be X-squared = 3.02. How do I
apply Yates correction?

Second, I want to do an homogeneity test on seed colour segregation. I have
green and yellow seed in an a priori expected segregation ration of 3:1.

green<-c(85,130,110,107,70,45,30)
yellow<-c(26,41,51,35,36,16,11)
chisq.test(rbind(green,yellow))

Pearson's Chi-squared test

data:  rbind(verdi, gialli)
X-squared = 6.2672, df = 6, p-value = 0.3939

That's fine. Now I want to tell chisq.test that I have my a priori expected
frequncies:

prob.green<-rep(3/4,7)
prob.yellow<-rep(1/4,7)
chisq.test(rbind(green,yellow), p=rbind(prob.green,prob.yellow))

Pearson's Chi-squared test

data:  rbind(verdi, gialli)
X-squared = 6.2672, df = 6, p-value = 0.3939

Exactly the same thing as before! How do I tell chisq.test to take my a
priori assumption into account? on paper I would calculate my seven X^2 on
my expectations, sum them and then subtracted the X^2 done on the sum. the
resulting X^2 of homogeneity is 6.6 on 6 df. Is my calculation on paper
sensible anyway?

Cheers,
Federico Calboli

=========================

Federico C.F. Calboli

Department of Biology
University College London
Room 327
Darwin Building
Gower Street
London
WClE 6BT

Tel: (+44) 020 7679 4395
Fax (+44) 020 7679 7096
f.calboli at ucl.ac.uk

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