Ethnic Identity and Adverse Mood Related Symptoms Multiple regression and logistic regression were used to test the second hypothesis: There is a relationship between ethnic identity and mental health functioning in minority adolescents. The assumptions for linear regression include residual homoscedasticity (i.e., equal variance of the dependent variable at each level of the independent variable), normal distribution, and linearity. Also, all pertinent variables must be included, and all irrelevant variables are excluded. Lastly, measures must be reliable and observations must be independent (Licht, 1997). These assumptions were met with the exception of linearity. Transformation of the data and/or use of a non-linear model were not appropriate due to the large number of zero scores. However, multiple regression is robust to the effects of violations of the error assumptions (Licht, 1997). Table 4-7. Multigroup Ethnic Identity Measure by Ethnic Group a Mean SD African American .74 3.55 .61 European American .75 3.33 .53 Hispanic .83 3.47 .59 Other .85 3.59 .67 Three subscales of the MAYSI-2 (angry/irritable mood, depressed/anxious mood, and somatic complaints due to anxiety) were summed to create one dependent variable (a = 0.86). This variable was normally distributed. This sub-divides the general construct of adverse mental health symptoms and creates two more specific constructs. The constructs are mood related adverse mental health symptoms and substance use. The alcohol/drug use measure was not normally distributed and this measure was analyzed separately using logistic regression. The rationale for this separation is detailed in the following section.