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However, it would appear that for an individual bee both the amount of time it spends on its hygienic duties and the age at which it gives them up to become a forager are controlled in part not by the animal s own genotype and internal hormonal environment, but by the genotypes of its hive mates and therefore the genetic and social environment in which it lives To manipulate hive-level genetic make-up researchers rst selected two behaviorally different strains of bees, one hygienic and one nonhygienic This was achieved by rst presenting a number of colonies with combs containing dead brood and then assessing the speed with which they cleaned them Queens and drones were taken from the most hygienic colony and allowed to breed The resultant colonies were again tested for their level of hygiene and drones from the most hygienic were mated to.

of treatment packages, the goal of experimental therapy investigations is to hold constant all variables except the manipulated variable, allowing investigators to rule out all rival explanations of differential outcome between conditions and leaving the one manipulated feature as the unambiguous explanation for the cause of that outcome difference Such causal conclusions can signi cantly enhance our knowledge about the pathology and about the investigated intervention Unfortunately, in the case of a comparative design, the two (or more) contrasted treatments are so fundamentally different in terms of their theoretical foundations, historical traditions, and most importantly, their (often myriad) speci c techniques, that the scienti c ideal of holding all variables constant except one is not even nearly approximated For example, consider for a moment how many techniques are used in psychodynamic therapy and in cognitive behavioral therapy.

If the two conditions are compared and found to differ in outcome, one cannot determine what among those many differences caused the difference in outcome Although a drug condition may appear to be more simple and straightforward when involved in a comparative trial in its contrast to a psychotherapy condition, there still remain several ways in which the two conditions differ (eg, who administers the drug, with what types of interpersonal interaction, for how many minutes per session and how many sessions, in what treatment or medical context) Thus, implementation of such a design yields almost no scienti c knowledge (ie.

, speci c cause-and-effect information) because so many rival hypotheses exist; any difference in outcome may be due to any one or a combination of the ways in which the compared conditions differ, including ways that have nothing to do with the speci c elements of the interventions Even more fundamental problems having to do with the internal validity of comparative designs make their results wholly uninterpretable One major threat to internal validity is potentially differential quality of treatment across conditions If one therapy is administered poorly and the other therapy expertly, obviously this is an unfair comparison Even if researchers employ separate expert therapists from each type of therapy, as is often done in comparative trials in an effort to maximize quality, there is no way to know whether the expertise of each set of therapists is equivalent.

Then if there is an odd number of errors during the transmission, the receiver will notice that the parity has changed and detect the error This is the simplest example of an error-detecting code The code does not detect an even number of errors and does not give any information about how to correct the errors that occur We can extend the idea of parity checks to allow for more than one parity check bit and to allow the parity checks to depend on various subsets of the information bits The Hamming code that we describe below is an example of a parity check code We describe it using some simple ideas from linear algebra To illustrate the principles of Hamming codes, we consider a binary code of block length 7 All operations will be done modulo 2 Consider the set of all nonzero binary vectors of length 3.

This is because valid measurements of expertise and quality of treatment are not yet available for any single therapy, much less for two different therapies that might be entered into a comparative trial Furthermore, even if researchers could ensure by valid measurement equivalence of expertise and quality of the treatments offered by expert therapists, the grave threat of a therapist-by condition confound would.