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Running head: STATISTICS PROBLEM SET1Statistics Problem SetNameInstitutional Affiliation
STATISTICS PROBLEM SET2‘Statistics Problem Set’In order to determine the correlation between the dependent variables correlations was inspected, these are shown in table 1.Table 1: CorrelationsThe correlation coefficient was computed to test whether there is a relationship between the variables. There sufficient statistical observed correlation between the variables. Therefore, the dependent variables are shown to be both conceptually and statistically (r=0.513>0.5) related (Alin, 2006).In order to test the hypothesis that observed covariance matrices of the dependent variables areequal across groups, we conducted Box`s test of equality of covariance matrices, table 2.
STATISTICS PROBLEM SET3Table 2: Box's Test of Equality of Covariance Matrices Table 2 shows the significance values of the tests p-values=0.463<0.05 indicates no violation of the assumption. Therefore, there is sufficient evidence to conclude that the observed covariance matrices of the dependent variables are equal across groups.Table 3: Levene's Test of Equality of Error Variances aTo further test the hypothesis, Levene's test of equality of error variances was computed. The significance for emotion 0.135> 0.1, so not enough reason to believe that the equal variance assumption is violated in this studyTests of Between-Subjects Effects was also conducted to examine the statistically significant multivariate interaction effect (Alin, 2006). These results are shown in table 4.