Editing Final Report/Thesis 2018 (section)

=== Results ===
Each collective object was compared to the mysterious code by the frequency of each letter. Where the x-axis represents the alphabet and the y-axis represents the frequency of the letters between the two testing objects.
The p-value test was also completed to verify the results, where a p-value of less than 0.05 shows that it is very unlikely that the collective object is the mysterious code. 

====Horse Names====
The comparison of horse names to the mysterious code is seen in Figure 8.
[[File:ZFigure8.jpg|thumb|500px|center|Figure 8. Comparison of Mysterious Code with Horse Names]]
There was a sample of 69 horse names and it can be seen on the graph that the horse names do not correlate with the mysterious code with many of the English letters. This was also proven by the p-value, as it was lower than 0.05, which means the null hypothesis is not accepted.

====Australian Beaches====
The comparison of Australian beaches to the mysterious code is seen in Figure 9.
[[File:ZFigure9.jpg|thumb|500px|center|Figure 9. Comparison of Mysterious Code with Australian Beach Names]]
There was a sample of 114 beach names. Analysing the graph it be seen that the frequency of the letters do correlate with mysterious code. As the results seemed genuine a hypothesis test was done between this values. The results showed a p-value of greater than 0.05, which indicates that the mysterious code could be Australian beach names. 

====South Australia Street Names====
The comparison of South Australian street names to the mysterious code is seen in Figure 10.
[[File:ZFigure10.jpg|thumb|500px|center|Figure 10. Comparison of Mysterious Code with South Australian Street Names]]
There was a sample of 447 South Australian street names. Observing the graph it can be seen that the frequency of the letter are not similar with the mysterious code. This was also proven by the p-value, as it was lower than 0.05.

====Australian City's====
The comparison of Australian city names to the mysterious code is seen in Figure 11.
[[File:ZFigure11.jpg|thumb|500px|center|Figure 11. Comparison of Mysterious Code with Australian City Names]]
There was a sample of 90 Australian city names. Observing the graph it can be seen that the frequency of some letter are similar with the mysterious code. A hypothesis test was then done to check the results. The p-value that was obtained was less than 0.05.

====The Rubaiyat of Omar Khayyam book====
The comparison of the Rubaiyat of Omar Khayyam book to the mysterious code is seen in Figure 12.
[[File:ZFigure12.jpg|thumb|500px|center|Figure 12. Comparison of Mysterious Code with The Rubaiyat of Omar Khayyam book]]
There was a sample of 852 words form the book. Observing the graph it can be seen that the frequency of the letter are not similar with the mysterious code. This was also proven by the p-value, as it was lower than 0.05.
An extension of this task was also done. This includes analysing The Rubaiyat of Omar Khayyam book more carefully. Previous years stated that the mysterious code does not correlate with the book. Each paragraph in the book has four lines of words (see Figure 13), which compared with the mysterious code also has four lines. Still assuming that each letter in the mysterious code is an initial word, we can compare the two.
[[File:ZFigure13.jpg|thumb|500px|center|Figure 13. A page from The Rubaiyat of Omar Khayyam]]
The task was to count how many words are in each line of the book and compare it with the mysterious code. Using the first paragraph in Figure 13 (outlined with a red square), the first line has 9 words, then followed by 7 words in the second line, then 8 words in the last two lines. Comparing just the first paragraph with the mysterious code from line 1 to 4, there are 9, 11, 11 and 13 letters respectively. It already can be seen from the first paragraph that there may not be a correlation between the mysterious code and the book.
Counting every line would be very time consuming, therefore a text file of The Rubaiyat of Omar Khayyam was used, in correlation with Matlab to count each word in each line. Then using excel, a graph was plotted with error bars to the number of letters in the mysterious code. This can be seen in Figure 14.
[[File:ZFigure14.jpg|thumb|500px|center|Figure 14. Error Bars against the book]]
The x-axis represents which line in the paragraph it is and the y-axis represents the amount of words present in that line. It can be seen that on line 1, the mysterious code is in the error bars. The rest of the lines are out of the error bars. This indicates that the mysterious code is not from The Rubaiyat of Omar Khayyam book and further proves the previous year’s studies of the book not being part of the mysterious code.

====P-value====
A summary of the p-values are shown in Table 1.
[[File:ZFigure15.jpg|thumb|500px|center|Table 1. P-value Results]]
It can be observed that the only collective object that is above 0.05 is Australian beaches, this indicates that the mysterious code could be Australian beaches.