Exploratory Data Analysis
I am interested in the 2024 eclipse, since that is the one that just occurred. I have decided to run my exploratory data analysis with these two datasets eclipse_total_2024
and eclipse_partial_2024
.
First, we will run some simple scatterplot visualizations of the data for the eclipse_total_2024
and eclipse_partial_2024
datasets. There are two observations that are skewing data in the “lon” variable since they are > 0, which means they are not in the Western Hemisphere. There could be parts of Alaska not in the Western Hemisphere, but for ease of visualization, we will drop all “lon” observations that are >0.
# eclipse_total_2024 dataset
# View the data
head (eclipse_total_2024)
# A tibble: 6 × 10
state name lat lon eclipse_1 eclipse_2 eclipse_3 eclipse_4 eclipse_5
<chr> <chr> <dbl> <dbl> <chr> <chr> <chr> <chr> <chr>
1 AR Acorn 34.6 -94.2 17:30:40 18:15:50 18:47:35 18:51:37 19:23:40
2 AR Adona 35.0 -92.9 17:33:20 18:18:30 18:50:08 18:54:22 19:26:10
3 AR Alexander 34.6 -92.5 17:33:20 18:18:30 18:51:09 18:53:38 19:26:20
4 AR Alicia 35.9 -91.1 17:37:30 18:22:40 18:54:29 18:58:05 19:29:50
5 AR Alix 35.4 -93.7 17:32:50 18:17:50 18:49:54 18:53:00 19:25:20
6 AR Alleene 33.8 -94.3 17:29:10 18:14:20 18:46:15 18:50:16 19:22:30
# ℹ 1 more variable: eclipse_6 <chr>
#Check the variables
str (eclipse_total_2024)
tibble [3,330 × 10] (S3: tbl_df/tbl/data.frame)
$ state : chr [1:3330] "AR" "AR" "AR" "AR" ...
$ name : chr [1:3330] "Acorn" "Adona" "Alexander" "Alicia" ...
$ lat : num [1:3330] 34.6 35 34.6 35.9 35.4 ...
$ lon : num [1:3330] -94.2 -92.9 -92.5 -91.1 -93.7 ...
$ eclipse_1: chr [1:3330] "17:30:40" "17:33:20" "17:33:20" "17:37:30" ...
$ eclipse_2: chr [1:3330] "18:15:50" "18:18:30" "18:18:30" "18:22:40" ...
$ eclipse_3: chr [1:3330] "18:47:35" "18:50:08" "18:51:09" "18:54:29" ...
$ eclipse_4: chr [1:3330] "18:51:37" "18:54:22" "18:53:38" "18:58:05" ...
$ eclipse_5: chr [1:3330] "19:23:40" "19:26:10" "19:26:20" "19:29:50" ...
$ eclipse_6: chr [1:3330] "20:08:30" "20:10:50" "20:11:10" "20:14:10" ...
# Drop incorrect observations in lon
eclipse_total_2024 <- subset (eclipse_total_2024, lon <= 0 )
# Create scatterplot of Latitude vs. Longitude
plot1 <- ggplot (data = eclipse_total_2024, aes (x = lon, y = lat)) +
geom_point () +
labs (x = "Longitude" , y = "Latitude" , title = "Eclipse Locations - 2024" )
plot1
#Saving figure
figure_file <- here ("tidytuesday-exercise" , "figures" , "LatLong_2024_total.png" )
ggsave (filename = figure_file, plot= plot1, bg = "white" )
# Create scatterplot of Eclipse Time vs. Latitude
plot2 <- ggplot (data = eclipse_total_2024, aes (x = eclipse_1, y = lat)) +
geom_point () +
labs (x = "Eclipse Time" , y = "Latitude" , title = "Eclipse Time vs. Latitude - 2024" ) +
theme (axis.text.x = element_text (angle = 45 , hjust = 1 , size = 4 )) # Rotate labels by 45 degrees
plot2
#Saving figure
figure_file <- here ("tidytuesday-exercise" , "figures" , "EclipseLat_2024_total.png" )
ggsave (filename = figure_file, plot= plot2, bg = "white" )
# Calculate Eclipse Duration
eclipse_total_2024$ eclipse_duration <- as.numeric (difftime (strptime (eclipse_total_2024$ eclipse_5, "%H:%M:%S" ),
strptime (eclipse_total_2024$ eclipse_1, "%H:%M:%S" ),
units = "secs" ))
# Create scatterplot of Eclipse Duration vs. Latitude
plot3 <- ggplot (data = eclipse_total_2024, aes (x = eclipse_duration, y = lat)) +
geom_point () +
labs (x = "Eclipse Duration (seconds)" , y = "Latitude" , title = "Eclipse Duration vs. Latitude - 2024" )
plot3
#Saving figure
figure_file <- here ("tidytuesday-exercise" , "figures" , "LatDuration_2024_total.png" )
ggsave (filename = figure_file, plot= plot3, bg = "white" )
# Create scatterplot with multiple variables and colors
plot4 <- ggplot (data = eclipse_total_2024, aes (x = lon, y = lat, color = state)) +
geom_point (size = 1 ) +
labs (x = "Longitude" , y = "Latitude" , color = "State" ,
title = "Eclipse Locations - 2024" ) +
scale_color_manual (values = rainbow (length (unique (eclipse_total_2024$ state)))) +
scale_shape_manual (values = 1 : length (unique (eclipse_total_2024$ name))) +
theme_minimal ()
plot4
#Saving figure
figure_file <- here ("tidytuesday-exercise" , "figures" , "LonLatState_2024_total.png" )
ggsave (filename = figure_file, plot= plot4, bg = "white" )
Now let’s do more or less the same visualizations with the eclipse_partial_2024
dataset.FIX
# eclipse_partial_2024 dataset
# View the data
head (eclipse_partial_2024)
# A tibble: 6 × 9
state name lat lon eclipse_1 eclipse_2 eclipse_3 eclipse_4 eclipse_5
<chr> <chr> <dbl> <dbl> <chr> <chr> <chr> <chr> <chr>
1 AL Abanda 33.1 -85.5 17:43:00 18:24:10 19:02:00 19:39:20 20:18:50
2 AL Abbeville 31.6 -85.3 17:41:40 18:21:40 19:00:30 19:38:50 20:17:20
3 AL Adamsville 33.6 -87.0 17:41:00 18:23:10 19:00:00 19:36:40 20:17:30
4 AL Addison 34.2 -87.2 17:41:30 18:24:10 19:00:30 19:36:40 20:18:00
5 AL Akron 32.9 -87.7 17:38:40 18:20:40 18:58:00 19:35:00 20:15:50
6 AL Alabaster 33.2 -86.8 17:40:40 18:22:40 18:59:50 19:36:50 20:17:20
#Check the variables
str (eclipse_partial_2024)
tibble [28,844 × 9] (S3: tbl_df/tbl/data.frame)
$ state : chr [1:28844] "AL" "AL" "AL" "AL" ...
$ name : chr [1:28844] "Abanda" "Abbeville" "Adamsville" "Addison" ...
$ lat : num [1:28844] 33.1 31.6 33.6 34.2 32.9 ...
$ lon : num [1:28844] -85.5 -85.3 -87 -87.2 -87.7 ...
$ eclipse_1: chr [1:28844] "17:43:00" "17:41:40" "17:41:00" "17:41:30" ...
$ eclipse_2: chr [1:28844] "18:24:10" "18:21:40" "18:23:10" "18:24:10" ...
$ eclipse_3: chr [1:28844] "19:02:00" "19:00:30" "19:00:00" "19:00:30" ...
$ eclipse_4: chr [1:28844] "19:39:20" "19:38:50" "19:36:40" "19:36:40" ...
$ eclipse_5: chr [1:28844] "20:18:50" "20:17:20" "20:17:30" "20:18:00" ...
sort (eclipse_partial_2024$ lon)
[1] -176.59807 -174.21345 -171.71483 -170.48332 -170.32282 -169.65994
[7] -168.92258 -168.71850 -168.06831 -166.76467 -166.68116 -166.52903
[13] -166.50895 -166.35213 -166.26771 -166.12533 -166.11147 -165.76303
[19] -165.59413 -165.58328 -165.41529 -165.12727 -165.10620 -164.90055
[25] -164.83464 -164.64972 -164.64568 -164.53557 -164.50929 -164.49911
[31] -164.25207 -164.06221 -163.69526 -163.53665 -163.41275 -163.33427
[37] -163.26813 -163.24426 -163.17732 -163.01043 -162.99894 -162.87265
[43] -162.86687 -162.84702 -162.83462 -162.77555 -162.76457 -162.66968
[49] -162.53656 -162.50348 -162.46456 -162.31681 -162.28030 -162.27656
[55] -162.25998 -162.13449 -162.06087 -162.04200 -161.98557 -161.89724
[61] -161.79607 -161.78824 -161.75378 -161.74703 -161.63580 -161.57532
[67] -161.43097 -161.40220 -161.36291 -161.21623 -161.19351 -161.14546
[73] -161.13944 -161.03467 -160.93806 -160.79677 -160.48434 -160.43436
[79] -160.39685 -160.35893 -160.34920 -160.28062 -160.21511 -160.11299
[85] -160.00223 -159.98521 -159.85878 -159.71447 -159.66939 -159.63914
[91] -159.62727 -159.58816 -159.58277 -159.56109 -159.55137 -159.54743
[97] -159.54675 -159.51873 -159.50096 -159.49774 -159.49330 -159.48573
[103] -159.48145 -159.46107 -159.45717 -159.44917 -159.39866 -159.39172
[109] -159.38140 -159.35581 -159.35195 -159.34711 -159.33721 -159.31459
[115] -159.24702 -159.15575 -158.90644 -158.79338 -158.77876 -158.66434
[121] -158.58642 -158.53225 -158.52735 -158.50026 -158.39178 -158.27535
[127] -158.21639 -158.18428 -158.18204 -158.17483 -158.17176 -158.15497
[133] -158.12052 -158.11862 -158.09564 -158.08121 -158.08102 -158.06783
[139] -158.06503 -158.06221 -158.05788 -158.04095 -158.04055 -158.03893
[145] -158.03517 -158.03181 -158.02913 -158.02716 -158.02621 -158.02453
[151] -158.01948 -158.01796 -158.01728 -158.01464 -158.01099 -158.00611
[157] -158.00583 -157.99890 -157.99658 -157.99483 -157.97743 -157.95691
[163] -157.95436 -157.94316 -157.93340 -157.92475 -157.92285 -157.91849
[169] -157.91089 -157.88957 -157.88710 -157.86596 -157.85048 -157.84764
[175] -157.84214 -157.84033 -157.81888 -157.78965 -157.77131 -157.75144
[181] -157.73580 -157.73024 -157.72281 -157.71790 -157.69397 -157.69353
[187] -157.66982 -157.52198 -157.48702 -157.35850 -157.32546 -157.30918
[193] -157.22476 -157.21222 -157.14998 -157.10302 -157.06424 -157.00095
[199] -156.99493 -156.99413 -156.91470 -156.90407 -156.90117 -156.90102
[205] -156.88587 -156.87339 -156.83499 -156.79825 -156.68645 -156.66619
[211] -156.66505 -156.65727 -156.64307 -156.64249 -156.61945 -156.59051
[217] -156.53060 -156.52854 -156.50756 -156.50363 -156.48866 -156.46562
[223] -156.43532 -156.43521 -156.42862 -156.36929 -156.36244 -156.34151
[229] -156.33454 -156.32854 -156.31903 -156.31095 -156.30187 -156.29164
[235] -156.08383 -156.01426 -156.00109 -155.99775 -155.95728 -155.95374
[241] -155.91872 -155.91111 -155.89844 -155.89368 -155.87791 -155.86327
[247] -155.84911 -155.84149 -155.83960 -155.80527 -155.80165 -155.77654
[253] -155.77496 -155.62549 -155.62541 -155.61444 -155.57513 -155.56842
[259] -155.56252 -155.50054 -155.47728 -155.46439 -155.37359 -155.27883
[265] -155.27741 -155.23807 -155.23614 -155.22132 -155.18443 -155.18403
[271] -155.13238 -155.10993 -155.10564 -155.09981 -155.09578 -155.09224
[277] -155.09192 -155.08289 -155.07854 -155.07128 -155.04971 -155.04827
[283] -155.01424 -155.00309 -154.99438 -154.97519 -154.97307 -154.95880
[289] -154.94535 -154.92893 -154.92145 -154.91885 -154.91574 -154.91040
[295] -154.90241 -154.88375 -154.86605 -154.74601 -154.44724 -154.37494
[301] -154.36341 -154.33961 -154.23763 -154.21531 -154.12572 -154.00116
[307] -153.32967 -152.90902 -152.85625 -152.83850 -152.68466 -152.59591
[313] -152.58302 -152.46239 -152.46179 -152.41971 -152.36754 -152.27903
[319] -152.05510 -151.92956 -151.84650 -151.71039 -151.69707 -151.69570
[325] -151.59638 -151.58875 -151.55462 -151.53799 -151.52887 -151.51309
[331] -151.43635 -151.40420 -151.40419 -151.37006 -151.33891 -151.31131
[337] -151.29817 -151.28860 -151.23279 -151.22527 -151.22376 -151.22030
[343] -151.20806 -151.19999 -151.18424 -151.06901 -151.05210 -151.01238
[349] -150.98967 -150.88412 -150.80526 -150.78874 -150.68884 -150.64528
[355] -150.58794 -150.40784 -150.15901 -150.10805 -150.04853 -149.97553
[361] -149.93617 -149.92393 -149.92102 -149.84394 -149.80061 -149.74854
[367] -149.63299 -149.62260 -149.62023 -149.60961 -149.59021 -149.49381
[373] -149.46836 -149.46780 -149.46079 -149.42774 -149.39158 -149.36978
[379] -149.35298 -149.31554 -149.31072 -149.29645 -149.28433 -149.28364
[385] -149.22268 -149.16319 -149.15522 -149.12117 -149.11519 -149.11468
[391] -149.08363 -149.08031 -149.00749 -148.98817 -148.97084 -148.92558
[397] -148.92060 -148.87418 -148.74962 -148.74937 -148.67371 -148.66371
[403] -148.42278 -148.29196 -148.04115 -148.03288 -148.02732 -147.99470
[409] -147.81945 -147.78775 -147.77259 -147.69861 -147.65175 -147.60901
[415] -147.43506 -147.38513 -147.36265 -147.28776 -147.16663 -147.15510
[421] -147.08988 -147.05946 -146.89855 -146.88362 -146.82994 -146.75803
[427] -146.66856 -146.54016 -146.53060 -146.37427 -146.31718 -146.12031
[433] -145.90641 -145.87658 -145.84075 -145.75762 -145.74087 -145.71488
[439] -145.70000 -145.64207 -145.44496 -145.44303 -145.40136 -145.36396
[445] -145.35831 -145.35163 -145.30519 -145.22764 -145.19860 -145.11008
[451] -144.94105 -144.82131 -144.68157 -144.63919 -144.62051 -144.29236
[457] -144.17533 -144.17512 -144.01617 -143.78930 -143.62944 -143.56149
[463] -143.48660 -143.45530 -143.03787 -143.00743 -142.86469 -142.50442
[469] -142.05055 -141.82828 -141.54126 -141.19783 -141.19358 -141.11383
[475] -139.60619 -136.28831 -136.21507 -136.19911 -136.12300 -135.88260
[481] -135.72815 -135.58905 -135.51255 -135.47217 -135.43147 -135.40933
[487] -135.36740 -135.35649 -135.34546 -135.27572 -135.13545 -134.65275
[493] -134.47836 -134.17845 -133.90366 -133.69225 -133.61679 -133.60642
[499] -133.30657 -133.19502 -133.11157 -133.08613 -133.06747 -132.97215
[505] -132.87494 -132.84197 -132.82044 -132.70192 -132.53565 -132.40683
[511] -132.02679 -131.67455 -131.63998 -131.58915 -131.55573 -130.03817
[517] -124.61156 -124.49812 -124.45318 -124.42216 -124.42015 -124.41552
[523] -124.40224 -124.39878 -124.39029 -124.34476 -124.30654 -124.30491
[529] -124.30347 -124.27293 -124.26125 -124.25778 -124.25204 -124.23448
[535] -124.23260 -124.23196 -124.22256 -124.21860 -124.21233 -124.21174
[541] -124.20142 -124.20078 -124.19846 -124.19738 -124.19685 -124.19513
[547] -124.19017 -124.18922 -124.18694 -124.18416 -124.17862 -124.17193
[553] -124.17021 -124.16721 -124.16645 -124.16518 -124.16319 -124.16169
[559] -124.16110 -124.15692 -124.15419 -124.14782 -124.14721 -124.14446
[565] -124.14325 -124.14216 -124.13308 -124.13066 -124.12975 -124.11985
[571] -124.11783 -124.11516 -124.11192 -124.10681 -124.10646 -124.10611
[577] -124.10465 -124.10139 -124.09400 -124.09123 -124.09108 -124.09083
[583] -124.08225 -124.08101 -124.07845 -124.07736 -124.07625 -124.07497
[589] -124.07030 -124.06623 -124.06611 -124.05969 -124.05781 -124.05582
[595] -124.05561 -124.04382 -124.04138 -124.03251 -124.03144 -124.02859
[601] -124.02673 -124.00605 -123.99491 -123.98787 -123.98339 -123.98054
[607] -123.97763 -123.97630 -123.97603 -123.96126 -123.96011 -123.95424
[613] -123.95318 -123.95179 -123.94742 -123.94221 -123.93980 -123.93888
[619] -123.93507 -123.93439 -123.93370 -123.92971 -123.92515 -123.92096
[625] -123.92062 -123.91870 -123.91848 -123.91647 -123.91135 -123.90972
[631] -123.89402 -123.88822 -123.88707 -123.88613 -123.88416 -123.87820
[637] -123.87555 -123.86483 -123.86328 -123.86229 -123.85863 -123.85432
[643] -123.85208 -123.83315 -123.82462 -123.82178 -123.81901 -123.81758
[649] -123.81507 -123.81137 -123.80488 -123.80419 -123.80185 -123.80176
[655] -123.79517 -123.79431 -123.79259 -123.79240 -123.78175 -123.78157
[661] -123.78121 -123.77792 -123.77569 -123.77290 -123.76538 -123.75759
[667] -123.73951 -123.72518 -123.70495 -123.70457 -123.70230 -123.69766
[673] -123.69561 -123.69096 -123.68885 -123.66475 -123.65542 -123.64810
[679] -123.64566 -123.64347 -123.64110 -123.62231 -123.62122 -123.62104
[685] -123.61573 -123.61506 -123.59583 -123.58971 -123.58571 -123.58131
[691] -123.57982 -123.57671 -123.57350 -123.57027 -123.56915 -123.56051
[697] -123.55089 -123.54193 -123.52103 -123.51321 -123.50826 -123.49990
[703] -123.49501 -123.49206 -123.48487 -123.48301 -123.46883 -123.45831
[709] -123.45746 -123.44801 -123.44506 -123.43755 -123.43230 -123.42936
[715] -123.42686 -123.42619 -123.42453 -123.41077 -123.40137 -123.39809
[721] -123.39380 -123.39283 -123.39280 -123.38740 -123.38402 -123.38185
[727] -123.37404 -123.37144 -123.36981 -123.36713 -123.36449 -123.36284
[733] -123.35998 -123.35953 -123.35895 -123.35706 -123.35586 -123.35204
[739] -123.35134 -123.34889 -123.34834 -123.34746 -123.33177 -123.32457
[745] -123.32267 -123.31431 -123.31287 -123.29987 -123.29890 -123.29831
[751] -123.29717 -123.29657 -123.29237 -123.29221 -123.28339 -123.28025
[757] -123.27889 -123.27835 -123.27828 -123.26965 -123.25879 -123.25260
[763] -123.24813 -123.23436 -123.23351 -123.23160 -123.22860 -123.21949
[769] -123.21601 -123.21033 -123.20449 -123.20425 -123.20276 -123.20015
[775] -123.19967 -123.19772 -123.19376 -123.19182 -123.18447 -123.18362
[781] -123.17537 -123.16968 -123.16823 -123.16574 -123.16384 -123.16258
[787] -123.15880 -123.15413 -123.14595 -123.14506 -123.14095 -123.13428
[793] -123.13212 -123.13062 -123.12762 -123.12747 -123.12363 -123.12227
[799] -123.12072 -123.11902 -123.11690 -123.11191 -123.11190 -123.11119
[805] -123.11080 -123.10991 -123.10986 -123.10980 -123.10949 -123.10707
[811] -123.09674 -123.09508 -123.09104 -123.08781 -123.08698 -123.08464
[817] -123.07809 -123.07362 -123.07315 -123.07247 -123.07186 -123.06425
[823] -123.05950 -123.05933 -123.05723 -123.05698 -123.05264 -123.05097
[829] -123.04418 -123.04032 -123.03223 -123.02993 -123.02618 -123.02449
[835] -123.02301 -123.01900 -123.01470 -123.01400 -123.01087 -123.00742
[841] -123.00597 -123.00374 -122.99472 -122.98990 -122.98329 -122.98111
[847] -122.98016 -122.97717 -122.97373 -122.97357 -122.97317 -122.97116
[853] -122.97095 -122.96917 -122.96542 -122.96430 -122.96018 -122.95744
[859] -122.95694 -122.95596 -122.95363 -122.95134 -122.94140 -122.93539
[865] -122.93495 -122.93423 -122.92902 -122.92772 -122.92743 -122.92263
[871] -122.92096 -122.92069 -122.91728 -122.91660 -122.91635 -122.91473
[877] -122.91261 -122.91226 -122.91074 -122.90944 -122.90808 -122.90595
[883] -122.90536 -122.90518 -122.90424 -122.90393 -122.90342 -122.90203
[889] -122.90058 -122.89643 -122.89582 -122.89500 -122.88988 -122.88708
[895] -122.88647 -122.88274 -122.88122 -122.87595 -122.87310 -122.87254
[901] -122.86987 -122.86982 -122.86908 -122.86599 -122.86513 -122.86493
[907] -122.86045 -122.86040 -122.85816 -122.85785 -122.85533 -122.85494
[913] -122.85283 -122.85223 -122.85177 -122.85107 -122.84976 -122.84239
[919] -122.84194 -122.84128 -122.84107 -122.83933 -122.83782 -122.83695
[925] -122.83447 -122.83446 -122.83223 -122.83199 -122.83195 -122.83138
[931] -122.82946 -122.82766 -122.82759 -122.82426 -122.82251 -122.81994
[937] -122.81938 -122.81797 -122.81690 -122.81628 -122.81530 -122.81283
[943] -122.81240 -122.80923 -122.80861 -122.80832 -122.80694 -122.80655
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[28843] 173.25608 174.10715
# Drop incorrect observations in lon
eclipse_partial_2024 <- subset (eclipse_partial_2024, lon <= 0 )
# Create scatterplot of Latitude vs. Longitude
plot5 <- ggplot (data = eclipse_partial_2024, aes (x = lon, y = lat)) +
geom_point () +
labs (x = "Longitude" , y = "Latitude" , title = "Eclipse Locations - 2024" )
plot5
#Saving figure
figure_file <- here ("tidytuesday-exercise" , "figures" , "EclipseLat_2024_partial.png" )
ggsave (filename = figure_file, plot= plot5, bg = "white" )
# Create scatterplot of Eclipse Time vs. Latitude
plot6 <- ggplot (data = eclipse_partial_2024, aes (x = eclipse_1, y = lat)) +
geom_point () +
labs (x = "Eclipse Time" , y = "Latitude" , title = "Eclipse Time vs. Latitude - 2024" ) +
theme (axis.text.x = element_text (angle = 45 , hjust = 1 , size = 4 )) # Rotate labels by 45 degrees
plot6
#Saving figure
figure_file <- here ("tidytuesday-exercise" , "figures" , "TimeLat_2024_partial.png" )
ggsave (filename = figure_file, plot= plot6, bg = "white" )
# Calculate Eclipse Duration
eclipse_partial_2024$ eclipse_duration <- as.numeric (difftime (strptime (eclipse_partial_2024$ eclipse_5, "%H:%M:%S" ),
strptime (eclipse_partial_2024$ eclipse_1, "%H:%M:%S" ),
units = "secs" ))
# Create scatterplot with multiple variables and colors
plot7 <- ggplot (data = eclipse_partial_2024, aes (x = lon, y = lat, color = state)) +
geom_point (size = 1 ) +
labs (x = "Longitude" , y = "Latitude" , color = "State" ,
title = "Eclipse Locations - 2024" ) +
scale_color_manual (values = rainbow (length (unique (eclipse_partial_2024$ state)))) +
scale_shape_manual (values = 1 : length (unique (eclipse_partial_2024$ name))) +
theme_minimal ()
plot7
#Saving figure
figure_file <- here ("tidytuesday-exercise" , "figures" , "LonLatState_2024_partial.png" )
ggsave (filename = figure_file, plot= plot7, bg = "white" )
Since we are supposed to formulate a question or hypothesis with the data, and these data are somewhat difficult to do that with since it is a physical phenomenon that’s deterministic (i.e., we know when and where eclipses will happen), I will create some synthetic data to augment the existing data. This new variable will be our outcome of interest.
I was in New Haven, CT for the 2024 total solar eclipse, where we had 92% to 94% coverage. Before we went outside with our special eclipse glasses, my husband turned on CNN to see their “eclipse coverage,” and they had a reporter in Dallas, where there was totality, claiming that the eclipse had perhaps caused an ostrich to lay an egg. You can see a screenshot here . I thought this was hilarious and decided to make a variable that would be whether or not the eclipse caused ostriches to lay an egg. This categorical outcome (no = 0, yes = 1) will be my outcome of interest. Since we need to work with solar eclipses that have totality (annular), I will use one dataset for this exercise, eclipse_total_2024
.
Create Synthetic Data
First, we will create a new variable with synthetic data called OstrichReproduction
, which indicates whether or not an ostrich laid an egg during totality
, which is also a new variable for the time of total eclipse duration in seconds.
# Generate synthetic data for 'OstrichReproduction' as factor variable
eclipse_total_2024 <- eclipse_total_2024 %>%
mutate (OstrichReproduction = factor (ifelse (runif (nrow (eclipse_total_2024)) < 0.5 , 0 , 1 )))
# View the updated dataset
head (eclipse_total_2024)
# A tibble: 6 × 12
state name lat lon eclipse_1 eclipse_2 eclipse_3 eclipse_4 eclipse_5
<chr> <chr> <dbl> <dbl> <chr> <chr> <chr> <chr> <chr>
1 AR Acorn 34.6 -94.2 17:30:40 18:15:50 18:47:35 18:51:37 19:23:40
2 AR Adona 35.0 -92.9 17:33:20 18:18:30 18:50:08 18:54:22 19:26:10
3 AR Alexander 34.6 -92.5 17:33:20 18:18:30 18:51:09 18:53:38 19:26:20
4 AR Alicia 35.9 -91.1 17:37:30 18:22:40 18:54:29 18:58:05 19:29:50
5 AR Alix 35.4 -93.7 17:32:50 18:17:50 18:49:54 18:53:00 19:25:20
6 AR Alleene 33.8 -94.3 17:29:10 18:14:20 18:46:15 18:50:16 19:22:30
# ℹ 3 more variables: eclipse_6 <chr>, eclipse_duration <dbl>,
# OstrichReproduction <fct>
# New variable for totality
eclipse_total_2024$ totality <- as.numeric (as.POSIXct (eclipse_total_2024$ eclipse_4, format= "%H:%M:%S" )) -
as.numeric (as.POSIXct (eclipse_total_2024$ eclipse_3, format= "%H:%M:%S" ))
# View the new variable
head (eclipse_total_2024$ totality)
[1] 242 254 149 216 186 241
Now we have a new categorical variable, OstrichReproduction
, which indicates whether or not an ostrich laid an egg during totality.
Let’s do a simple vizualization to see how often ostriches laid egg during totality, or between the times in variable eclipse_3
and eclipse_4
.
# Data visualization on new variable
# Create a subset of the data where eclipse_3 is less than eclipse_4
subset_eclipse_total_2024 <- subset (eclipse_total_2024, eclipse_3 < eclipse_4)
# Bar plot of OstrichReproduction between eclipse_3 and eclipse_4
plot8 <- ggplot (subset_eclipse_total_2024, aes (x = factor (OstrichReproduction), fill = factor (OstrichReproduction))) +
geom_bar () +
labs (x = "Ostrich Reproduction" , y = "Count" , fill = "Ostrich Reproduction" ) +
ggtitle ("Occurrence of Ostrich Reproduction" )
plot8
# Saving figure
figure_file <- here ("tidytuesday-exercise" , "figures" , "OstrichReproduction.png" )
ggsave (filename = figure_file, plot= plot8, bg = "white" )
And let’s run some models.
Before we do that, we will need to split our data into train and test data.
Model 1: Simple Logistic Regression
Now let’s run a simple logistic model to see if we can predict if the duration of totality in minutes was related to whether or not an ostrich laid an egg. We will be using our train data.
# Simple logistic regression model
# Create recipe
# Create recipe simple logistic model (creating dummy variables and standardizing continuous variables)
log1_recipe <- recipe (OstrichReproduction ~ totality, data = train_data) %>%
step_dummy (all_nominal (), - all_outcomes ()) %>%
step_normalize (all_predictors ())
# Define model specification
log1_spec <- logistic_reg () %>%
set_engine ("glm" ) %>%
set_mode ("classification" )
# Create workflow
log1_wf <- workflow () %>%
add_recipe (log1_recipe) %>%
add_model (log1_spec)
# Fit model
log1_fit <- log1_wf %>%
fit (data = train_data)
# Tidy results
log1_results <- tidy (log1_fit, fmt = "decimal" )
log1_results
# A tibble: 2 × 5
term estimate std.error statistic p.value
<chr> <dbl> <dbl> <dbl> <dbl>
1 (Intercept) 0.00242 0.0400 0.0605 0.952
2 totality -0.0559 0.0401 -1.39 0.163
We can see from our model output that our results are not significant (with a p-value of 0.6). This makes sense since we created a synthetic variable of whether or not an ostrich laid an egg during totality. As Dr. Handel said on Discord, “Remember that synthetic data is ‘made up’ so any conclusions you draw from it are also ‘fictional’.” Of course, we can use it to test models and explore codes. so let’s continue with CNN’s fantasy.
Model 1: Test Data
Finally, let’s see how our model does with our test data, test_data
.
# Predicting outcome categories
class_preds <- log1_fit %>%
predict (new_data = test_data, type = 'class' )
# Estimating probabilities
prob_preds <- log1_fit %>%
predict (new_data = test_data, type = 'prob' )
# Combining results
log1_test_results <- test_data %>%
select (OstrichReproduction) %>%
bind_cols (as.data.frame (class_preds), as.data.frame (prob_preds))
# Confusion matrix
confusion_matrix <- conf_mat (log1_test_results, truth = OstrichReproduction, estimate = .pred_class)
confusion_matrix
Truth
Prediction 0 1
0 243 252
1 174 164
# Classification accuracy
accuracy <- accuracy (log1_test_results, truth = OstrichReproduction, estimate = .pred_class)
accuracy
# A tibble: 1 × 3
.metric .estimator .estimate
<chr> <chr> <dbl>
1 accuracy binary 0.489
# ROC (Receiver Operating Characteristic) curve
roc <- log1_test_results %>%
roc_curve (truth = OstrichReproduction, .pred_1)
roc
# A tibble: 221 × 3
.threshold specificity sensitivity
<dbl> <dbl> <dbl>
1 -Inf 0 1
2 0.482 0 1
3 0.482 0 0.998
4 0.483 0.00240 0.998
5 0.483 0.00721 0.995
6 0.483 0.0144 0.990
7 0.484 0.0168 0.983
8 0.484 0.0192 0.983
9 0.484 0.0312 0.976
10 0.484 0.0337 0.974
# ℹ 211 more rows
# Plot ROC curve
log1_roc <- roc %>%
autoplot ()
log1_roc
# Calculate ROC AUC (Area Under the ROC Curve)
roc_auc <- roc_auc (log1_test_results, truth = OstrichReproduction, .pred_1)
roc_auc
# A tibble: 1 × 3
.metric .estimator .estimate
<chr> <chr> <dbl>
1 roc_auc binary 0.520
Well, our test data performs just as well as our train data, which means very poorly. But, it doesn’t perform worse.
Model 2: Complex Logistic Regression
Perhaps if we include more predictors, we will see different model performance. So, let’s try another logistic regression model with more predictors. We will use our train data to begin with. Then, we will check the performance, then check again with cross-validation, then run our test data.
# Complex logistic regression model
# Create recipe
# Create recipe simple logistic model (creating dummy variables and standardizing continuous variables)
log2_recipe <- recipe (OstrichReproduction ~ totality + state + eclipse_duration, data = train_data) %>%
step_dummy (all_nominal (), - all_outcomes ()) %>%
step_normalize (all_predictors ())
# Define model specification
log2_spec <- logistic_reg () %>%
set_engine ("glm" ) %>%
set_mode ("classification" )
# Create workflow
log2_wf <- workflow () %>%
add_recipe (log2_recipe) %>%
add_model (log2_spec)
# Fit model
log2_fit <- log2_wf %>%
fit (data = train_data)
# Tidy results
log2_results <- tidy (log2_fit, fmt = "decimal" )
log2_results
# A tibble: 16 × 5
term estimate std.error statistic p.value
<chr> <dbl> <dbl> <dbl> <dbl>
1 (Intercept) 0.0209 0.430 0.0485 0.961
2 totality -0.0619 0.0414 -1.50 0.134
3 eclipse_duration 0.245 0.222 1.10 0.270
4 state_IL 0.0648 0.0603 1.08 0.282
5 state_IN 0.0862 0.0977 0.882 0.378
6 state_KY -0.0618 0.0455 -1.36 0.174
7 state_ME 0.0715 0.0889 0.804 0.421
8 state_MI 0.393 10.7 0.0367 0.971
9 state_MO 0.0830 0.0494 1.68 0.0929
10 state_NH 0.407 10.7 0.0381 0.970
11 state_NY 0.217 0.177 1.23 0.220
12 state_OH 0.186 0.139 1.34 0.181
13 state_OK -0.0208 0.0423 -0.491 0.623
14 state_PA 0.141 0.0730 1.94 0.0526
15 state_TX 0.00608 0.0656 0.0927 0.926
16 state_VT 0.0896 0.122 0.735 0.462
Like the simple logistic model, none of our predictors are statistically significant. It appears that total solar eclipses don’t have much to do with ostrich reproduction, if we take my synthetic data as truth
. However, let’s see how the model performs.
Model 2: Test Data
Finally, let’s see how the model performs on our test data set, test_data
.
# Predicting outcome categories
class_preds <- log2_fit %>%
predict (new_data = test_data, type = 'class' )
# Estimating probabilities
prob_preds <- log2_fit %>%
predict (new_data = test_data, type = 'prob' )
# Combining results
log2_test_results <- test_data %>%
select (OstrichReproduction) %>%
bind_cols (as.data.frame (class_preds), as.data.frame (prob_preds))
# Confusion matrix
confusion_matrix <- conf_mat (log2_test_results, truth = OstrichReproduction, estimate = .pred_class)
confusion_matrix
Truth
Prediction 0 1
0 205 208
1 212 208
# Classification accuracy
accuracy <- accuracy (log2_test_results, truth = OstrichReproduction, estimate = .pred_class)
accuracy
# A tibble: 1 × 3
.metric .estimator .estimate
<chr> <chr> <dbl>
1 accuracy binary 0.496
# ROC (Receiver Operating Characteristic) curve
roc <- log2_test_results %>%
roc_curve (truth = OstrichReproduction, .pred_1)
roc
# A tibble: 780 × 3
.threshold specificity sensitivity
<dbl> <dbl> <dbl>
1 -Inf 0 1
2 0.328 0 1
3 0.346 0.00240 1
4 0.351 0.00240 0.998
5 0.364 0.00481 0.998
6 0.365 0.00721 0.995
7 0.411 0.00721 0.993
8 0.414 0.00721 0.990
9 0.418 0.00962 0.990
10 0.418 0.0120 0.990
# ℹ 770 more rows
# Plot ROC curve
log2_roc <- roc %>%
autoplot ()
log2_roc
# Calculate ROC AUC (Area Under the ROC Curve)
roc_auc <- roc_auc (log2_test_results, truth = OstrichReproduction, .pred_1)
roc_auc
# A tibble: 1 × 3
.metric .estimator .estimate
<chr> <chr> <dbl>
1 roc_auc binary 0.531
Here, our accuracy decreases to 0.46
, and our ROC-AUC
remains the same at 0.53
. This model is not performing well. I guess we can’t predict ostrich reproduction during a solar eclipse using synthetic data.
Model 3: Simple Linear Model
Now, this doesn’t really make sense, but my previous models also didn’t make sense with ostriches, so let’s run a linear regression model in which the duration of totality is the outcome variable and whether the ostrich laid an egg during totality is the predictor variable. This defies the laws of physics and the universe, but we’ll do this to have another model type to work with: linear regression.
# Simple linear model
# Create Recipe
ln_recipe <- recipe (totality ~ OstrichReproduction, data = eclipse_total_2024)
# Specify Model
ln_spec <- linear_reg ()
# Create Workflow
ln_wf <- workflow () %>%
add_model (ln_spec) %>%
add_recipe (ln_recipe)
# Fit the Model
ln_fit <- ln_wf %>%
fit (data = eclipse_total_2024)
# Tidy Results
ln_results <- ln_fit %>%
tidy ()
ln_results
# A tibble: 2 × 5
term estimate std.error statistic p.value
<chr> <dbl> <dbl> <dbl> <dbl>
1 (Intercept) 186. 1.54 121. 0
2 OstrichReproduction1 -0.984 2.17 -0.453 0.650
Again, we see that our predictor variable is not statistically significant. Let’s check the performance of this model.
Model 3: Test Data
Finally, let’s see how our model performs on our test data, test_data
.
# Make predictions on training data
train_pred <- predict (ln_fit, new_data = train_data)
print (train_pred)
# A tibble: 2,497 × 1
.pred
<dbl>
1 186.
2 186.
3 185.
4 186.
5 185.
6 185.
7 186.
8 185.
9 185.
10 185.
# ℹ 2,487 more rows
# Make predictions on test data
test_pred <- predict (ln_fit, new_data = test_data)
print (test_pred)
# A tibble: 833 × 1
.pred
<dbl>
1 185.
2 185.
3 185.
4 186.
5 185.
6 186.
7 185.
8 186.
9 186.
10 186.
# ℹ 823 more rows
# Create dataframes for plotting
train_data_plot <- data.frame (
Observed = train_data$ totality,
Predicted = train_pred$ .pred
)
test_data_plot <- data.frame (
Observed = test_data$ totality,
Predicted = test_pred$ .pred
)
# Combine dataframes
combined_data <- rbind (cbind (train_data_plot, Data = "Train" ), cbind (test_data_plot, Data = "Test" ))
# Plot combined data
finalplot <- ggplot (combined_data, aes (x = Observed, y = Predicted, color = Data)) +
geom_point () +
geom_abline (intercept = 0 , slope = 1 , linetype = "dashed" ) +
labs (x = "Observed" , y = "Predicted" , title = "Observed vs Predicted" ) +
scale_color_manual (values = c ("red" , "blue" )) # Custom colors for train and test data
finalplot
# Save figure
figure_file <- here ("tidytuesday-exercise" , "finalplot.png" )
ggsave (filename = figure_file, plot= finalplot, bg= "white" )
Basically, none of these models were statistically significant (i.e. found something that couldn’t be attributed to random chance), and they all performed very poorly on various performance metrics. I think the moral of the story is that CNN should quit doing 24-hour coverage of things, like an eclipse, that really only lasts a few minutes. If darkness causes ostriches to lay eggs, maybe we should just wait until night falls. According to AmericanOstrich Farms , ostriches lay eggs from April to September, so we are in the right season, but they don’t mention whether this happens at night–or during eclipses.