Stereotype Threat, Self-Affirmation, and Women\u27s Statistics Performance

Stereotype threat (fear of confirming a negative group stereotype that in turn can inhibit academic performance) has been implicated in the gender gap observed in the field of mathematics. Even though stereotype threat depresses women\u27s performance, there has been much research reporting various interventions that ameliorate its negative effects. The current study investigated stereotype threat specifically in statistics--an unexplored area in the research literature --and the alleviating effects of self-affirmation. Participants in three conditions (control, stereotype threat, stereotype threat + affirmation) completed a statistics test. In both stereotype threat conditions participants were given a verbal prime to induce stereotype threat, but only the stereotype threat + affirmation condition was given the affirmation task. The predictions that stereotype threat would depress women\u27s statistics performance and that self-affirmation would minimize stereotype threat were not supported. How a performance expectation relates to a successful stereotype threat prime was discussed as are study limitations and directions for future research

Polynomial identities for hypermatrices

We develop a method to construct algebraic invariants for hypermatrices. We then construct hyperdeterminants and exhibit a generalization of the Cayley-Hamilton theorem for hypermatrices.Comment: 65 pages. Several results expanded. Title changed to better reflect the content and agree with published preprint versio