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Need help with this. not sure if it's right. Marvin is interested in whether blonds, brunets, and redheads differ with respect to their extrovertedness. He

Need help with this. not sure if it's right.

Marvin is interested in whether blonds, brunets, and redheads differ with respect to their extrovertedness. He randomly samples 18 men from his local college campus: 6 blonds, 6 brunets, and 6 redheads. He then administers a measure of social extroversion to each individual.

1. Conduct a one-way ANOVA to investigate the relationship between hair color and social

extroversion. Be sure to conduct appropriate post hoc tests. On the output, identify the following:

a. F ratio for the group effect

b.. Sums of squares for the hair color effect

c. mean for redheads

d. p value for the hair color effect

2. What is the effect size for the relationship between hair color and extroversion?

Having F (2,15) = 3.511, p-value 0.056 > 0.05, then the null hypothesis is not rejected. In conclusion, there is no difference among the effects of hair color on extroversion. Since there is no significant difference, a post hoc test could not be conducted.

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Multiple Comparisons Dependent Variable: Social Extroversion Tukey HSD Mean 95% Confidence Interval Difference (1- (0) Hair Color (J) Hair Color J) Std. Error Sig Lower Bound Upper Bound Blond Brunet 1.500 1.070 .365 -1.28 4.28 Redhead 2.833 1.070 045 05 5.61 Brunet Blond -1.500 1.070 .365 -4.28 1.28 Redhead 1.333 1.070 446 -1.45 4.11 Redhead Blond -2.833 1.070 045 -5.61 -.05 Brunet -1.333 1.070 446 -4.11 1.45 * The mean difference is significant at the 0.05 level.Social Extroversion Tukey HSDa Subset for alpha = 0.05 Hair Color N Redhead 6 2.33 Brunet 6 3.67 3.67 Blond 5.17 Sig. .446 .365 Means for groups in homogeneous subsets are displayed. a. Uses Harmonic Mean Sample Size = 6.000.Tests of Homogeneity of Variances Levene Statistic df1 df2 Sig. Social Extroversion Based on Mean 1.520 2 15 .250 Based on Median 1.373 2 15 .283 Based on Median and 1.373 2 7.609 .310 with adjusted of Based on trimmed mean 1.388 2 15 280Descriptives Social Extroversion 95% Confidence Interval for Mean N Mean Std. Deviation Std. Error Lower Bound Upper Bound Minimum Maximum Blond 6 5.17 2.787 1.138 2.24 8.09 2 10 Brunet 6 3.67 1.211 .494 2.40 4.94 5 Redhead 6 2.33 1.033 422 1.25 3.42 4 Total 18 3.72 2.109 .497 2.67 4.77 10ANOVA Social Extroversion Sum of Squares df Mean Square F Sig. Between Groups 24.111 2 12.056 3.511 .056 Within Groups 51.500 15 3.433 Total 75.611 17

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