8.5 A Distribution-Free Test for Independence Based on Ranks (Spearman)
Hypothesis
Let 
be a random sample from a continuous bivariate population (i.e., Assumption A is satisfied) with joint distribution function 
and marginal distribution functions 
and 
. In this section, we return to the problem of testing for independence between the 
and 
variables corresponding to the null hypothesis 
(8.1). Here, however, alternatives to 
will no longer be stated in terms of the correlation coefficient 
(8.2). Instead, the alternatives of interest in this section are less specifically interpretable, corresponding ...
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