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Jan 30, 2012 at 15:56 comment added whuber Your comment, Maxim, perceptively suggests that the difficulty here is due to confusing an outcome with a random variable. An answer to a question (the outcome) is not the same thing as the number used to code that answer (the random variable). That's precisely why the random variable is created: so that one can do arithmetic with it! One might then wonder about the apparent arbitrariness of the random variable: what happens when a different encoding is used (such as male=1, female=-1). The answer is that the formula for $d$ may change but the statistical inference will not.
Jan 29, 2012 at 23:29 history tweeted twitter.com/#!/StackStats/status/163765680976576512
Jan 29, 2012 at 21:09 comment added Maxim V. Pavlov Although the question has already been answered mathematics-wise, I think a philosophical answer would appear to be more relevant in this case. I agree with the question author - in reliance to the reality, such division makes no sense. In general, a binary categorical variable represents an answer to the question "Does it exist?" Whereas a continuous variable represents an answer to the question "What it's measure is in comparison to...". Those are different fundamental concepts.
S Jan 29, 2012 at 19:26 history suggested gung - Reinstate Monica CC BY-SA 3.0
I just 'blocked' the equation, because the subscripts, e.g., where hard to read
Jan 29, 2012 at 19:22 review Suggested edits
S Jan 29, 2012 at 19:26
Jan 29, 2012 at 19:01 answer added Peter Ellis timeline score: 2
Jan 29, 2012 at 18:10 vote accept Tu.2
Jan 29, 2012 at 17:54 history edited Tu.2 CC BY-SA 3.0
added 136 characters in body
Jan 29, 2012 at 17:39 history edited onestop
edited tags
Jan 29, 2012 at 17:38 answer added onestop timeline score: 2
Jan 29, 2012 at 17:38 answer added Michelle timeline score: 4
Jan 29, 2012 at 17:11 history edited onestop CC BY-SA 3.0
link paper title to JSTOR copy
Jan 29, 2012 at 17:06 history asked Tu.2 CC BY-SA 3.0