Source: NUFORC/Kaggle https://www.kaggle.com/NUFORC/ufo-sightings/data
library(tm)
package <U+393C><U+3E31>tm<U+393C><U+3E32> was built under R version 3.4.3Loading required package: NLP
package <U+393C><U+3E31>NLP<U+393C><U+3E32> was built under R version 3.4.1
The shape of UFOs?
shape.canttell
[1] 13165
According to the dataset, there are 27 possible recognisable forms that a UFO can take, such as a dome, a hexagon, a pyramid, an egg, a cigar and so on. The most common observed form of UFO by far, at over 16,000, is a light - this is about twice as common than the second most observed form, a triangle.
Of course, if my knowledge of science fiction TV has taught me anything, just seeing a light could simply mean that the observation was at night time and, with the lights on, it was too dark to see anything much of the shape. Like when you are driving at night and a car is heading toward you from the opposite direction - the headlights are always the first thing you see, long before you see the actual chassis.
shape.canttell = sum(ufo_data$UFO_shape == "unknown" | ufo_data$UFO_shape == "other" | ufo_data$UFO_shape == "")
shape.canttell
However, the shape of 13,165 observations are recorded as “unknown”, “other” or not specified. In other words, in actuality, it is not possible to tell the shape of a significant of number of UFO observations recorded by NUFORC. Therefore, it is quite possible that the numbers are subject to bias. For this reason, the values for “unknown”, “other” and " " have been added together into an umbrella category “can’t tell”

How do the shape of observed UFOs differ across countries?
ufo_shape.country
au ca de gb us
271 11 45 2 50 1553
changed 0 0 0 0 0 1
changing 252 9 69 2 46 1584
chevron 89 3 36 1 8 815
cigar 262 15 74 3 60 1643
circle 891 62 284 10 243 6118
cone 40 6 10 0 13 247
crescent 1 0 0 0 0 1
cross 25 1 9 0 10 188
cylinder 161 9 53 3 30 1027
delta 0 0 1 0 0 6
diamond 154 10 40 3 43 928
disk 736 50 198 6 102 4121
dome 1 0 0 0 0 0
egg 105 12 28 1 32 581
fireball 682 34 218 9 117 5148
flare 0 0 0 0 0 1
flash 174 4 62 1 25 1062
formation 286 20 98 3 60 1990
hexagon 0 0 0 0 0 1
light 1937 119 655 20 361 13473
other 760 40 241 9 133 4466
oval 448 30 130 7 86 3032
pyramid 0 0 0 0 0 1
rectangle 140 10 47 1 29 1070
round 0 0 0 0 0 2
sphere 655 15 205 7 158 4347
teardrop 88 10 22 0 38 592
triangle 827 43 268 9 169 6549
unknown 685 25 207 8 92 4567
distribution of most common shapes accross the US

distribution of most common shapes across Great Britain

distribution of most common shapes across Denmark

distribution of most common shapes across Canada

distribution of most common shapes across Australia

Generally speaking, “light”, “triangle”, “circle”, “fireball” and “cannot tell” can be said to be most common form of UFOs observed. However, in Britain, the “sphere” shape has been observed particularly in Britain and the “disk” shape observed particularly in Australia (relative to other areas).
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