1.4. Unit weight models
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Among the successful improper linear models, there is one that tends to be
a bit more reliable and easier to use than the others. Unit weight models
assign equal weights to (standardized) predictor cues, so that each cue has
an equal ‘‘say’’ in the final prediction. Our favorite example of a unit weight
model is what we might call the ‘‘F minus F Rule.’’ Howard and Dawes
(1976) found a very reliable, low-cost reasoning strategy for predicting
marital happiness. Take the couple’s rate of lovemaking and subtract from
it their rate of fighting. If the couple makes love more often than they
fight, then they’ll probably report being happy; if they fight more often
than they make love, then they’ll probably report being unhappy. Howard
and Dawes tested their hypothesis on data compiled by Alexander (1971)
in which 42 couples ‘‘monitored when they made love, when they had
fights, when they had social engagements (e.g., with in-laws), and so on.
These subjects also made subjective ratings about how happy they were
in their marital or coupled situation’’ (Dawes 1982, 393). The results were
interesting: ‘‘In the thirty happily married couples (as reported by the
monitoring partner) only two argued more often than they had intercourse.
All twelve of the unhappily married couples argued more often’’
(478). The reliability of the F minus F Rule was confirmed independently
by Edwards and Edwards (1977) and Thornton (1977).
The F minus F Rule exhibits three advantages of unit weight SPRs.
First, it requires attention to only a slim portion of the available evidence.
We can ignore the endless variety of psychological and behavioral quirks
and incompatibilities that married people can exhibit and instead focus on
two relatively simple, straightforward (though personal) cues. Second, the
30 Epistemology and the Psychology of Human Judgment
F minus F Rule is very simple to use. There is no need to try to weigh
different complex cues against each other. For example, there is no need to
guess whether the (presumably) negative sign that the partners have different
approaches to finances is outweighed by the (presumably) positive
sign that both had happily married parents. Third, the F minus F Rule is
known to be quite reliable.
Given the success of unit weight models, Paul Meehl has said, ‘‘In most
practical situations an unweighted sum of a small number of ‘big’ variables
will, on the average, be preferable to regression equations’’ (quoted in
Dawes and Corrigan 1974, 105). Dawes and Corrigan succinctly state the
cash value of these results: To be more reliable than expert humans in the
social arena, ‘‘the whole trick is to know what variables to look at and then
know how to add’’ (1974, 105).
Among the successful improper linear models, there is one that tends to be
a bit more reliable and easier to use than the others. Unit weight models
assign equal weights to (standardized) predictor cues, so that each cue has
an equal ‘‘say’’ in the final prediction. Our favorite example of a unit weight
model is what we might call the ‘‘F minus F Rule.’’ Howard and Dawes
(1976) found a very reliable, low-cost reasoning strategy for predicting
marital happiness. Take the couple’s rate of lovemaking and subtract from
it their rate of fighting. If the couple makes love more often than they
fight, then they’ll probably report being happy; if they fight more often
than they make love, then they’ll probably report being unhappy. Howard
and Dawes tested their hypothesis on data compiled by Alexander (1971)
in which 42 couples ‘‘monitored when they made love, when they had
fights, when they had social engagements (e.g., with in-laws), and so on.
These subjects also made subjective ratings about how happy they were
in their marital or coupled situation’’ (Dawes 1982, 393). The results were
interesting: ‘‘In the thirty happily married couples (as reported by the
monitoring partner) only two argued more often than they had intercourse.
All twelve of the unhappily married couples argued more often’’
(478). The reliability of the F minus F Rule was confirmed independently
by Edwards and Edwards (1977) and Thornton (1977).
The F minus F Rule exhibits three advantages of unit weight SPRs.
First, it requires attention to only a slim portion of the available evidence.
We can ignore the endless variety of psychological and behavioral quirks
and incompatibilities that married people can exhibit and instead focus on
two relatively simple, straightforward (though personal) cues. Second, the
30 Epistemology and the Psychology of Human Judgment
F minus F Rule is very simple to use. There is no need to try to weigh
different complex cues against each other. For example, there is no need to
guess whether the (presumably) negative sign that the partners have different
approaches to finances is outweighed by the (presumably) positive
sign that both had happily married parents. Third, the F minus F Rule is
known to be quite reliable.
Given the success of unit weight models, Paul Meehl has said, ‘‘In most
practical situations an unweighted sum of a small number of ‘big’ variables
will, on the average, be preferable to regression equations’’ (quoted in
Dawes and Corrigan 1974, 105). Dawes and Corrigan succinctly state the
cash value of these results: To be more reliable than expert humans in the
social arena, ‘‘the whole trick is to know what variables to look at and then
know how to add’’ (1974, 105).