16th October, 2023

Last time I was looking at t tests to see if the differences observed in the frequency distributions for ages of different races was purely by chance or due to some other factors that we could not determine yet.

The t test values for ages of Black, Hispanic and White people show significant differences in means which is not occurring by chance and hence rejecting the null hypotheses.

The next thing we can do is look at the analysis of variance to determine if there is a significant difference between the different races.

Analysis of Variance, One way method
Analysis of Variance, One way method

Here we can tell that by the P value that there is a significant difference between the 5 degrees of freedom of race.

To further analyse which pairs are contributing the most to differences, we have tried tukey method in R to do a pairwise analysis on all the races to check which of the combinations are more significant in the differences.

Anova pairwise for every race combination
Anova pairwise for every race combination

Here we can see the P values for the W-N, W-B, W-H are the most significant of the values and all the rest just indicate chance. W-A also show some degree of significance but not as much as the first 3 mentioned.

More analysis later.

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