Research questions one through three will be analyzed with One-way analysis of variance (ANOVA). One-way ANOVA extends the t-test to include three or more samples when testing for the means. This test is used in place of the t-test when the same sample is tested for more than one variable. ANOVA is used to test the null hypothesis. The idea behind the ANOVA statistic is to compare the ratio of between group variance to the within group variance. When the variance resulting from the interaction between the samples is much larger when it is compared to the variance, which appears within each group, this is because the means are not the same. Assumptions are the same as for the t-test for independent samples; underlying populations are assumed to be distributed normally with equal variances. Sample sizes need to be equal and fairly large, greater than 10 to insure equal variance. It is also assumed that the scores are independent (Witte, 1980).
To test for the critical value or the critical mean difference, the Scheffe test will be used; the critical value is the degrees of freedom for the between variance times the critical value for the one-way ANOVA (Witte, 1980).
Thus for research question one, the means of the IQ scores (from the Standard Progressive Matrices) will be compared for the Asian-American and Caucasian gifted students. Using the same ANOVA, the means of the creativity test (Figural Torrance Tests of Creative Thinking Form A) will also be compared for the Asian-American and Caucasian gifted students, for research question two. The findings from this ANOVA analysis will demonstrate whether Asian American gifted children score higher in creativity than in IQ, to address research question three. The findings from the Scheffe test, will demonstrate critical values for the IQ and creativity means, to address the last part of research question three.
Research question four will be answered
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