Given ethnic disparities in educational opportunities, we hy…
Given ethnic disparities in educational opportunities, we hypothesized educational aspirations would vary across ethnicity. We examined this using the NSYR dataset, which is a nationally representative dataset of U.S. teens. Educational aspirations were measured on a scale from 1 (no farther in school) to 7 (post-graduate or professional school). Here is the Stata output. Visual Description . fre ethrace5 Ethrace5 Educational aspirations of US teens Freq. Percent Valid Cum. Valid 1 White 2162 64.15 64.56 64.56 2 Black 559 16.59 16.69 81.25 3 Hispanic 334 9.91 9.97 91.22 4 Asian 40 1.19 1.19 92.42 5 Other 254 7.54 7.58 100.00 Total 3349 99.38 100.00 Missing . 21 0.62 Total 3370 100.00 . mean edgoal, over(ethrace5) Mean estimation Number of obs =3,292 Mean estimation Mean Std. Err. [95% Conf. Interval] c.edgoal@ethrace5 White 5.984008 .020002 5.94479 – 6.023225 Black 5.912568 .0421225 5.829979 – 5.995157 Hispanic 5.80303 .0569558 5.691358 – 5.914703 Asian 6.3 .102532 6.098967 – 6.501033 Other 5.951417 .0622448 5.829375 – 6.073459 . anova edgoal ethrace5 Number of obs = 3,292 R-squared = 0.0051 Root MSE = .946592 Adj R-squared = 0.0039 Source Partial SS df MS F Prob>F Model 15.162397 4 3.7905992 4.23 0.0020 ethrace5 15.162397 4 3.7905992 4.23 0.0020 Residual 2945.2735 3,287 .89603697 Total 2960.4359 3,291 .89955512 . pwcompare ethrace5, mcompare(tukey) effects Pairwise comparisons of marginal linear predictions Margins : asbalanced Number of Comparisons ethrace5 10 Contrast Std. Err. t P>|t| [95% Conf. Interval] ethrace5 Black vs White -.0714392 .0453166 -1.58 0.513 -.1951213, .0522428 Hispanic vs White -.1809772 .0560065 -3.23 0.011 -.3338352, -.0281192 Asian vs White .3159925 .1510708 2.09 0.224 -.0963236, .7283085 Other vs White -.0325905 .0636329 -0.51 0.986 -.2062632, .1410821 Hispanic vs Black -.109538 .0659347 -1.66 0.458 -.289493, .070417 Asian vs Black .3874317 .155026 2.50 0.091 -.0356791, .8105425 Other vs Black .0388487 .0725245 0.54 0.984 -.1590917, .2367891 Asian vs Hispanic .4969697 .1584809 3.14 0.015 .0644294, .92951 Other vs Hispanic .1483867 .0796426 1.86 0.338 -.068981, .3657545 Other vs Asian -.348583 .1613338 -2.16 0.195 -.7889098, .0917438 Please write up these ANOVA results, making sure to: (a) adhere to APA style; (b) report and interpret the degrees of freedom, F-score, and p-value; (c) report and interpret R-squared; (d) report and interpret the pairwise comparisons—focusing on which ones were statistically significant; and (e) state the substantive conclusions from the analysis.
Read DetailsPart 1: Please draw a figure showing all three levels: popul…
Part 1: Please draw a figure showing all three levels: populations, sampling distribution, and sample. There should be two population distributions in the top level—the null hypothesis population and the alternative hypothesis population. There should be two sampling distributions in the middle level, each one directly below one of the populations (the mean of each sampling distribution should be directly below the mean of that population from which it was sampled). The sample should be in the bottom level, and directly below the sampling distribution for the alternative hypothesis population (such that there is a vertical line that is the mean of alternative hypothesis population, mean of the alternative hypothesis sampling distribution, and mean of the sample). Part 2: Next, please label where the following are depicted on the figure: Cohen’s d alpha (which is Type I error and corresponds to the rejection region) beta (which is Type II error) power
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