By Theodore Silverstein and Anthony Hilhorst
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Additional info for Apocalypse of Paul. A New Critical Edition of Three Long Latin Versions
Selecting terms for the expected mean square for teachers, is ruled out because it does not contain t in its subscript, but is accepted because it contains both of the letters used to name the teacher factor and no extra capital letters. For the students factor, only one term is accepted, because only one term contains all three letters in its subscript. 2. Mastering the method described in the rules is a matter of practice; a useful exercise would be to walk through the rules for Examples 3 and 4, checking in each case for agreement between expected mean squares generated by walk-through and expected mean squares shown in the worked examples.
But teachers are considered random, because any available teachers could be substituted for the teachers selected as participants in the study. ) Replaceability is one good test for whether to treat a factor as fixed or random: If it makes no difference to the experimenter which specific levels of the factor are used, it is best to consider the factor random. In some cases, the replaceability test applies only very ambiguously. To see such a case, let us add one more feature to our experiment, a subject matter factor.
In the first case, interest does not center on the specific three raters any more than on the specific 20 managers, but on the generic question of whether rater matters; any three trained raters could be used to answer this question. In the second case, teacher appears as a factor, but the specific teachers occurring as levels of the factor are of no interest; the two methods could be compared using any other available teachers. And in the third case, product appears as a factor, but the effect of the treatment variable for any one product is of no more theoretical interest than is the effect of the treatment variable on any one particular respondent; the general question of whether comparative or noncomparative advertising is better could be approached by conducting the same comparison for other products and other respondents.