The Rainbow Fragments
 

Rainbow fragments are frequently seen above the Hawaiian archipelago. Here are the members of this group:

1. The ʻŌnohi

2. The ʻŌnohi ʻula

3. The Pūloʻu

4. The Ala muku, Poʻo muku

For the members of this group, the primary trait is the same, and other various features are similar. Each of these rainbow types has itʻs own page on this website. On this page, the sign data for the group as a whole is shown in the table below. There are 5 signs/omens that appeared within the sources that were analyzed. Each of these signs are important because, the breadth of contexts in which these types of rainbows were shown by the various authors can be understood. Examining the data, it can be seen that the signs concerning a presence appeared most often (17). The data of all the sign groups is interesting, however, an interesting question perhaps, from the mathematical perspective, is the total (17) of the signs concerning a presence greater than the total of each of the other sign groups? How would these totals be measured against each other? The thing that is needed is method to perform this measurement. Mathematics has an appropriate method, namely the Chi-square goodness-of-fit test.[1] This test was used as a way to understand the totals of the sign groups in relation to each other. If the totals of the groups were the same, then it would be expected that the frequency of appearence of the signs of each group would be the same. See the appendix tab for links to sites explaining the Chi-square goodness-of-fit test in greater detail.​

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​Translation Key

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[1] ʻ  χ2 (3, n = 46) = 7.74, p < 0.101.