Identify significant change on a slope - r

I am trying to find a point where a big change happens on a slope.
Tried to use ecp::e.divisive() function with different settings and couldn't make it identify the change the way I need.
Below code and plot should illustrate more. Grey lines are cutoffs coming from ecp package, and I am trying to it to plot blue line (which is at the moment plotted manually).
Please advise if there are better packages for this task.
library("ecp")
#get cutoff points
ecpOutput <- e.divisive(x, k=1)
ecpOutput$estimates
#plot
plot(x, bty = "n")
abline(h = 0, lty = "dashed", col = "grey")
#add ecp estimates
abline(v = ecpOutput$estimates, col = "grey", lty = 2)
#ideal line, doesn't have to be exact, anything around this line is OK
abline(v = 384, col = "blue", lty = 2)
Data: x is a sorted 1 column matrix (required structure by ecp).
x <- structure(c(-27.0409169663486, -26.129156710088, -24.7600585044449,
-24.3953228174759, -24.1577613311647, -23.5016667274094, -20.6947912955816,
-20.5608424516568, -20.2274448352933, -20.1776769950718, -20.0154244013066,
-19.9185729879804, -18.6495729388285, -18.5966280348446, -18.4877201244377,
-17.8697488852, -17.6964369055135, -17.4580050047899, -17.4503603253745,
-17.2138236467553, -17.1978137674216, -17.0883917900212, -17.0780609255085,
-16.5936774343097, -16.5302509987677, -16.5047064149008, -16.3610339293733,
-16.3179953827084, -15.8098489669017, -15.8017464582135, -15.7931978631991,
-15.7048014947664, -15.6438615495371, -15.5724025176269, -15.4769417976187,
-15.4566078151486, -15.3683766952941, -15.3598144860889, -15.2872530572521,
-15.2615773975834, -15.1553721281872, -15.1253479156971, -14.8574803029005,
-14.7886609612358, -14.7052679457918, -14.6700476095839, -14.4967591359077,
-14.3902100635321, -14.1344579537429, -14.1122694462137, -13.6977777268339,
-13.5002575880219, -13.3931536856711, -13.2720061859572, -13.1630633420915,
-13.120694599871, -13.0989354290794, -13.0305773443162, -13.0247860189105,
-12.9679198987695, -12.9339256928714, -12.7503935672128, -12.6086380226913,
-12.5204925937268, -12.5018027956008, -12.3362734240611, -12.2633206830352,
-12.2389866512024, -12.2261511983906, -12.2082248950284, -12.1988063383678,
-12.1625438078306, -12.105137364671, -12.0283612849999, -12.0207914207455,
-11.9569828730108, -11.9377135887775, -11.7974478043662, -11.7856404961775,
-11.7070359492143, -11.685818522575, -11.6150116648869, -11.5889351441476,
-11.5696939812167, -11.5218497980405, -11.4278460823336, -11.2616735602107,
-11.1371735315344, -11.1101486927449, -11.0545987008828, -11.0497610649959,
-10.9777305856557, -10.9538432991084, -10.8709063558819, -10.8321978567433,
-10.7154060103612, -10.6904665022414, -10.6728147078525, -10.6319097418566,
-10.6084139374132, -10.5435156393802, -10.4969417190754, -10.4910751521816,
-10.4076974735856, -10.1987743033507, -10.1084368444001, -10.067653486032,
-10.0184841375099, -10.0184804878766, -9.98796628047806, -9.92940612537163,
-9.79791464687017, -9.78385633218692, -9.74746828052048, -9.5340969261009,
-9.3872416240278, -9.34975526969295, -9.34350605265574, -9.33678121532548,
-9.28246068708019, -9.26231844050325, -9.24219935644902, -9.22973616812829,
-9.1945301757694, -9.18742543173638, -9.09818179983656, -8.84383892771356,
-8.71390231428188, -8.63727799501085, -8.62365985718404, -8.57368937545283,
-8.56896270190976, -8.51750651338242, -8.36994967607861, -8.34940777555791,
-8.24579609778514, -8.16499004491889, -8.13648089733029, -8.12443902872708,
-8.06884804631702, -8.01978044346555, -8.00857010892087, -7.98752833340474,
-7.98494612290397, -7.92263788171607, -7.92262794402356, -7.91254741704133,
-7.8612668717642, -7.85956255484269, -7.80614005087113, -7.78172738274975,
-7.76590807725416, -7.73362312192246, -7.73353827316045, -7.73074597208869,
-7.66932615651785, -7.63405189653259, -7.52008106079428, -7.4794467369495,
-7.37006671254996, -7.33891732414829, -7.28638734342099, -7.18383241390338,
-7.16967207372779, -7.12414638131948, -7.11845633549842, -7.10069950413643,
-7.08453272839936, -7.06225675561229, -7.01372949292662, -6.97700431366834,
-6.96221498775977, -6.95474531960413, -6.92853733102012, -6.87948984857266,
-6.81875907966932, -6.80049432153244, -6.74491178906506, -6.73722594655536,
-6.65241543109368, -6.64432866218849, -6.57471615362753, -6.538942870458,
-6.48556582657451, -6.44344567639388, -6.44142334658235, -6.40718664187937,
-6.37631310536975, -6.35766817597632, -6.33004629281548, -6.32243131413274,
-6.31465060236999, -6.30957529705468, -6.20042487075657, -6.19852760812695,
-6.19516991943952, -6.19169299941109, -6.14915041772936, -6.1341182105985,
-6.06886854629022, -6.03316938455024, -5.92620275477516, -5.915861751696,
-5.8993712054553, -5.8562854376353, -5.81203754357936, -5.81031989834777,
-5.79005016179402, -5.70715392727825, -5.64380201251138, -5.61822898444235,
-5.61198428778589, -5.55181215637224, -5.5414283688058, -5.51873245882438,
-5.51677200116567, -5.51551938308407, -5.50995967349956, -5.47456882908066,
-5.46182989367447, -5.34425037377986, -5.32571672656563, -5.24036884690065,
-5.2280272754873, -5.13269699736861, -5.13115055948407, -5.09522822858288,
-5.06292167413738, -5.05058297801937, -5.00080776299476, -4.99907315892117,
-4.96652519349395, -4.94319578011658, -4.93410325981468, -4.88778233710964,
-4.86817149761772, -4.86068237590916, -4.86018697766406, -4.79260202993216,
-4.78704006512903, -4.7697286436275, -4.74319640834353, -4.66791717712299,
-4.63451063153309, -4.55913300698176, -4.54773156325591, -4.5029917001588,
-4.50232432311584, -4.48448651461267, -4.48195952916376, -4.45942294767531,
-4.43684117621408, -4.39862573806896, -4.39218230499561, -4.32218627745706,
-4.29986813130089, -4.25622220689577, -4.24164586680005, -4.1312719357839,
-4.12513288512985, -4.07946940297387, -4.07261512152973, -4.01165511465604,
-3.95381138375493, -3.95044337911054, -3.92340302872436, -3.91833355363622,
-3.87865234740553, -3.84667242505411, -3.78315737709957, -3.76505984684618,
-3.76018864171568, -3.71684064078827, -3.70873189126336, -3.69375597807388,
-3.69325959119626, -3.6505984611436, -3.62183744181462, -3.58883235361055,
-3.52391205093927, -3.51617596119693, -3.51388800083065, -3.33813297717772,
-3.26837985172665, -3.25102638292739, -3.24658212799339, -3.22891542458543,
-3.17892565704276, -3.1283260157199, -3.04352634415322, -3.02299584335501,
-3.01373331291241, -2.99552385674378, -2.86372198270148, -2.83811475137176,
-2.77463274263238, -2.69783066358124, -2.69434624147968, -2.65941589188957,
-2.6221506974122, -2.57311913722599, -2.56672727866588, -2.56667581533302,
-2.55574357522681, -2.50395283367281, -2.49786830801457, -2.46604172470746,
-2.42877871397163, -2.4017493435186, -2.369794488014, -2.30769529142191,
-2.28289171086166, -2.24736457553032, -2.22224835097905, -2.21993628534018,
-2.21938775070459, -2.21330765240871, -2.1970203297687, -2.18405609540363,
-2.1707971627096, -2.16975015841871, -2.11020976431672, -1.75392661111203,
-1.73701872449349, -1.7094653013083, -1.68198644925752, -1.67745819232374,
-1.65515644561234, -1.57194744043552, -1.57116047214388, -1.51000042083035,
-1.50463279855355, -1.46346551065156, -1.44224216231154, -1.37311564470336,
-1.32779620730326, -1.32592791352896, -1.31204307149482, -1.27756472934721,
-1.23603794634302, -1.1702376900797, -1.16378397319292, -1.12499060545068,
-1.1088125112075, -0.939262072448041, -0.862163030101959, -0.858354175324213,
-0.654474645495292, -0.628257109630334, -0.606705081751156, -0.550295255225927,
-0.497332185765383, -0.482929007849059, -0.440957523688129, -0.360777543733516,
-0.305426972877309, -0.199639436822714, -0.108018704644053, 0.0346309488381769,
0.034746934017077, 0.0493559949320308, 0.192914632754347, 0.218667918037225,
0.245737147003821, 0.247527541956785, 0.333222558419853, 0.557256844844099,
0.669063496448389, 0.720955292473698, 0.767660102407662, 0.878291398784322,
0.946178076488395, 0.946467111772845, 1.11121506783806, 1.22835778244999,
1.24961769756564, 1.29790330264223, 1.30574614563616, 1.30823862002444,
1.35802473804966, 1.48779920673317, 1.6470804669896, 1.75657725379367,
1.91434060426954, 3.12793082392592, 4.05818631097523, 5.87762107232264,
7.87360999893622, 54.7844606150857), .Dim = c(389L, 1L))


Try:
e.divisive(diff(x), k = 1, min.size = 2)

Related

How to color scatter plot points based on temporal sequence

I have a dataframe with observations of a temporal event. I can easily plot the observations based on their Xand Y values, either in base R or ggplot2:
plot(df$Y ~ df$X)
ggplot(df, aes(x=X, y=Y)) +
geom_point()
What I'd like to do though is add in the temporal dimension by coloring the observations differently depending on the time they were made. This could be done by defining thresholds for different time steps and assigning discrete colors to each time step. But what I'm interested in is a continuous coloring where the flow of time can be directly read off the flow of colors or color hues or color transparencies. Any help is greatly appreciated.
Reproducible data (slightly shorter than data underlying shown graphs):
structure(list(X = c(171.000358830368, 171.453956550099, 171.075127685269,
171.140924277581, 171.271520544141, 171.582558980529, 171.23762532992,
171.70218914837, 171.318375693213, 170.939546828382, 171.70218914837,
171.779948757467, 171.809856299427, 172.066064242221, 171.603494259901,
171.718139837416, 171.947430992445, 171.930483385334, 172.002261486039,
172.153793031971, 122.654817251517, 171.710164492893, 172.012230666692,
171.395138384244, 171.750041215507, 171.631407965731, 171.927492631138,
172.059085815763, 171.816834725885, 170.787018364384, 170.328436054326,
170.083194210252, 170.405198745358, 170.505887469957, 170.429124778926,
171.187779426653, 171.00634033876, 170.984408141322, 170.731190952725,
170.924593057402, 170.570687144205, 170.751129314032, 170.539782684179,
170.561714881617, 170.461026157017, 170.631499146191, 170.686329639785,
170.863781055416, 170.782033774058, 170.655425179759, 170.645455999106,
170.612557702949, 170.658415933955, 170.514859732545, 170.382269629855,
170.167932245806, 170.187870607113, 169.841940038438, 175.365863038509,
190.973612269532, 206.626222813496, 214.924568789419, 214.509850874236,
211.538038121446, 209.610995501136, 207.007045514458, 204.585531533737,
202.489012842319, 200.693563406635, 199.331773329375, 198.61997383072,
198.494362154486, 202.238786407918, 205.8695620019, 206.616253632843,
207.53541208909, 208.81146721273, 209.850255836818, 210.903998231887,
211.630751501523, 211.825150524265, 211.487195300113, 210.759445112412,
209.407624215806, 207.816542983517, 205.843642132201, 203.585622714198,
201.110275157949, 198.862224920598, 196.914247020916, 195.676074783759,
195.283289066014, 196.015026925976, 197.60710507633, 200.479226022586,
204.110001616568, 207.405812740595, 210.878078362188, 214.015379513825,
216.768867210305, 218.423751198776, 219.404718575074, 219.467524413191,
218.760709504862, 217.317172146244, 215.572565531892, 213.46408382369,
211.338654508377, 209.181323814973, 207.720838849244, 206.537497105681,
205.904454134187, 205.898472625795, 205.953303119389, 206.365030280376,
206.977137972497, 208.319986606516, 209.067675155523, 209.547192744954,
210.106463779612, 210.356690214013, 210.602928976153, 210.692651602034,
210.849167738293, 210.88405987058, 210.998705448095, 211.037585252643,
210.902004395756, 210.895025969299, 210.958828725481, 210.92692734739,
210.975776332592, 211.201079815359, 211.164193846942, 211.304759294155,
210.646793371028, 198.816366689593, 179.579835700717, 164.568243472769,
159.956500502489, 159.636489803513, 159.535801078913, 159.997374143168,
160.238628314981, 160.281495791791, 160.576583539133, 160.637395541118,
156.724492134644, 153.810500629644, 153.846389679996, 154.022844177562,
154.29300897327, 154.442546683072, 154.536256981214, 154.665856329709,
154.665856329709, 154.833338564686, 156.847113056681, 176.676810294436,
177.112463488991, 176.71868085318, 176.042770404877, 175.822451512436,
175.75964567432, 176.817375741649, 176.028813551962, 176.347827332872,
176.622976718907, 182.215687065486, 118.910392998086, 174.380907989949,
171.889609744655, 168.855988071813, 164.924143222097, 160.275514283399,
156.671655477181, 154.165403460906, 107.676123319726, 107.769833617868,
108.581324923058, 109.676937876871, 109.244275436511, 110.393721965853,
161.248506315174, 163.97707106002, 165.507340290323, 166.298893234206,
168.008607716271, 169.06434394747, 170.018394536004, 170.41118025375,
170.202824378093, 170.201827460028, 121.025853132745, 117.483803246579,
120.870333914552, 166.984772863163, 166.489304584687, 168.118268703459,
181.382263562859, 196.653054487796, 135.095357788943, 135.297732156208,
202.44614536551, 203.460011037964, 204.440978414263, 205.227546767819,
205.43490572541, 204.935449774673, 203.891676560258, 202.264706277617,
199.827241607851, 176.081650209426, 194.729002621683, 194.670184455827,
191.186952735516, 190.463190220076, 190.508051533017, 191.482040482858,
186.606114225261, 171.208714706025, 158.889798172571, 149.82880987666,
152.986049389604, 156.597883540345, 159.647455902232, 161.754940692369,
162.893421122992, 114.542894953814, 162.976165322415, 114.268742485845,
160.762010299286, 159.259654774813, 157.995562667957, 156.561994489993,
155.638848361484, 154.469463470836, 154.00390273432, 154.431580584353,
154.255126086787, 155.244068807608, 157.058459686534, 159.101144802424,
161.906472238301, 165.29399982434, 120.406767014167, 172.028181355737,
175.03588315888, 177.740521870158, 179.910812498411, 181.483949205524,
181.988389746588, 181.854802725832, 180.508963337618, 178.901931416283,
176.58609075049, 173.537515306668, 170.679351213327, 167.374567826712,
164.487493109477, 162.203553821774, 160.569605112675, 159.562717866678,
159.828894990125, 159.632502131252, 160.2495944137, 161.450880682439,
162.705003608642, 164.622077048298, 166.212161362521, 167.468278124855,
168.602770883216, 169.155063491416, 169.462114255542, 169.404293007752,
169.003531945484, 168.422328713389, 167.728473739909, 166.825265972708,
165.984864043623, 169.386348482576, 183.504702123976, 200.99862033463,
214.553715269111, 218.552353629205, 217.590327696148, 217.000152201465,
216.115885877505, 215.405083296914, 214.675339273083, 214.063231580962,
213.56477254829, 212.972603217475, 212.488101037718, 212.097309156103,
211.685581995116, 211.786270719716, 211.46426618461, 210.97178866033,
210.657759469747, 210.36167480434, 210.032691842776, 209.635918452769,
209.435537921635, 209.197274504018, 209.046739876151, 208.712772324261,
208.585166811897, 208.3319496233, 203.956476234505, 189.73444311431,
179.21097601654, 176.815381905519, 177.826256823777, 175.90718954799,
175.461567172782, 177.582011897768, 177.488301599626, 177.463378647992,
177.577027307441, 177.676719113976, 177.633851637166, 177.843204430888,
177.995732894886, 177.92196095805, 176.699739409939, 176.824354168107,
176.859246300394, 176.68877331122, 175.325986315895, 176.695751737677,
174.103764767783, 176.520294158177, 178.304777495142, 176.684785638959,
176.697745573808, 177.861148956064, 176.614004456319, 176.121526932039,
176.364774939983, 173.25239673998, 176.064702602315, 174.207444246579,
174.133672309744, 173.831606135945, 174.066878799366, 174.03597433934,
175.830426856959, 174.100774013587, 174.019026732229, 173.965193156701,
173.955223976047, 174.028995912883, 173.886436629538, 174.420784712563,
179.872929611928, 198.741597834692, 208.031877285631, 208.418681494985,
208.232257816765, 247.112062365176, 207.772678588642, 207.722832685375,
207.639091567886, 207.613171698187, 207.569307303312, 207.722832685375,
207.850438197739, 208.002966661736, 208.157488961865, 208.43463218403,
208.722741504914, 209.112536468464, 209.628940026312, 210.13038981318,
211.046557515231, 211.660659043483, 212.448224315105, 213.349438246175,
212.024534137333, 215.36321273817, 216.563502088844, 217.81264042472,
217.271313915238, 218.686937568026, 220.266055783531, 221.81426953901,
223.14814591044, 224.246749618449, 225.106092990776, 225.724182191289,
226.127934007753, 226.088057285139, 225.885682917874, 225.557696874376,
225.048271742986, 257.697338382997, 223.992535511786, 223.464168937154,
223.130201385264, 222.831125965661), Y = c(150.561649721083,
150.067708443465, 150.155166858818, 149.178216605502, 149.407794945803,
148.660423032789, 148.913853668186, 148.276798619991, 148.487493893341,
147.692417390134, 148.3284785927, 147.692417390134, 147.963737246853,
147.216365333839, 147.264069924031, 145.992941364529, 145.626212327424,
144.316323788391, 144.345145311632, 143.45465962804, 118.779460351005,
143.071035215242, 143.299619709914, 142.858352250634, 142.574112400738,
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You could do:
library(ggplot2)
ggplot(df, aes(x = X, y = Y, color = starttime_ms)) +
geom_point() +
scale_color_gradientn(colors = c("red", "gold", "forestgreen"), name = "time")
An alternative that might help keep track of the motion better would be to use geom_segment:
df$X2 <- dplyr::lag(df$X)
df$Y2 <- dplyr::lag(df$Y)
ggplot(df, aes(x = X, y = Y, color = starttime_ms)) +
geom_segment(aes(xend = X2, yend = Y2), size = 1) +
scale_color_gradientn(colors = c("red", "gold", "forestgreen"), name = "time")

polygon shading the inverse region in R- how to fix

I am plotting a truncated density in R. Here are the coordinates of my polygon from dput output:
dat <- structure(list(pro.d.x = c(0.587084148727984, 0.589041095890411,
0.590998043052838, 0.592954990215264, 0.594911937377691, 0.596868884540117,
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0.60665362035225, 0.608610567514677, 0.610567514677104, 0.61252446183953,
0.614481409001957, 0.616438356164384, 0.61839530332681, 0.620352250489237,
0.622309197651663, 0.62426614481409, 0.626223091976517, 0.628180039138943,
0.63013698630137, 0.632093933463796, 0.634050880626223, 0.63600782778865,
0.637964774951076, 0.639921722113503, 0.64187866927593, 0.643835616438356,
0.645792563600783, 0.647749510763209, 0.649706457925636, 0.651663405088063,
0.653620352250489, 0.655577299412916, 0.657534246575342, 0.659491193737769,
0.661448140900196, 0.663405088062622, 0.665362035225049, 0.667318982387475,
0.669275929549902, 0.671232876712329, 0.673189823874755, 0.675146771037182,
0.677103718199609, 0.679060665362035, 0.681017612524462, 0.682974559686888,
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0.708414872798434, 0.710371819960861, 0.712328767123288, 0.714285714285714,
0.716242661448141, 0.718199608610568, 0.720156555772994, 0.722113502935421,
0.724070450097847, 0.726027397260274, 0.727984344422701, 0.729941291585127,
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0.794520547945205, 0.796477495107632, 0.798434442270059, 0.800391389432485,
0.802348336594912, 0.804305283757339, 0.806262230919765, 0.808219178082192,
0.810176125244618, 0.812133072407045, 0.814090019569472, 0.816046966731898,
0.818003913894325, 0.819960861056751, 0.821917808219178, 0.823874755381605,
0.825831702544031, 0.827788649706458, 0.829745596868884, 0.831702544031311,
0.833659491193738, 0.835616438356164, 0.837573385518591, 0.839530332681018,
0.841487279843444, 0.843444227005871, 0.845401174168297, 0.847358121330724,
0.849315068493151, 0.851272015655577, 0.853228962818004, 0.85518590998043,
0.857142857142857, 0.859099804305284, 0.86105675146771, 0.863013698630137,
0.864970645792564, 0.86692759295499, 0.868884540117417, 0.870841487279843,
0.87279843444227, 0.874755381604697, 0.876712328767123, 0.87866927592955,
0.880626223091976, 0.882583170254403, 0.88454011741683, 0.886497064579256,
0.888454011741683, 0.89041095890411, 0.892367906066536, 0.894324853228963,
0.896281800391389, 0.898238747553816, 0.900195694716243, 0.902152641878669,
0.904109589041096, 0.906066536203523, 0.908023483365949, 0.909980430528376,
0.911937377690802, 0.913894324853229, 0.915851272015656, 0.917808219178082,
0.919765166340509, 0.921722113502935, 0.923679060665362, 0.925636007827789,
0.927592954990215, 0.929549902152642, 0.931506849315068, 0.933463796477495,
0.935420743639922, 0.937377690802348, 0.939334637964775, 0.941291585127201,
0.943248532289628, 0.945205479452055, 0.947162426614481, 0.949119373776908,
0.951076320939335, 0.953033268101761, 0.954990215264188, 0.956947162426614,
0.958904109589041, 0.960861056751468, 0.962818003913894, 0.964774951076321,
0.966731898238748, 0.968688845401174, 0.970645792563601, 0.972602739726027,
0.974559686888454, 0.976516634050881, 0.978473581213307, 0.980430528375734,
0.98238747553816, 0.984344422700587, 0.986301369863014, 0.98825831702544,
0.990215264187867, 0.992172211350294, 0.99412915851272, 0.996086105675147,
0.998043052837573, 1), pro.d.y = c(0, 0.0124763366981593, 0.0141124551851867,
0.0159018210787856, 0.0178518210828018, 0.0199740509194942, 0.0223445527492011,
0.0249064839074225, 0.0276662964727761, 0.0306302708705622, 0.0338545211312297,
0.0373385397435565, 0.0410496060511471, 0.0449918664776745, 0.0491758970805405,
0.0536901895276933, 0.0584490455650341, 0.0634544237153568, 0.0687081431462095,
0.0742700062159316, 0.0801277089300282, 0.086240025634052, 0.0926086975186578,
0.0992440060892446, 0.106239285811027, 0.113504059066459, 0.121044019265177,
0.128865573418761, 0.137048548852888, 0.145593863797181, 0.154467617291928,
0.163685889084493, 0.173280379056521, 0.183418988934254, 0.193997374886688,
0.205045023363949, 0.21659280832808, 0.228818951343029, 0.241754902638203,
0.255354359835895, 0.269660574110284, 0.284751550765693, 0.300974352004478,
0.318105788417593, 0.336193761251992, 0.355285850148719, 0.37570768608243,
0.397453045785548, 0.420391899838677, 0.444560692193431, 0.470052830600742,
0.497323432291453, 0.525934510701712, 0.55589495930279, 0.587210052668763,
0.620209479614381, 0.654737312164808, 0.690555064040503, 0.727627117977952,
0.765968447827405, 0.805823333992903, 0.846691934407899, 0.888496561425915,
0.931155864506105, 0.974725912749141, 1.01894272802093, 1.06358946338081,
1.10855652184076, 1.15373258418124, 1.19891666804584, 1.24392280480721,
1.28863577510934, 1.33294134574882, 1.37653543493332, 1.41927889838227,
1.46115790850083, 1.50208011643625, 1.54188812802516, 1.58010796114519,
1.61704327373793, 1.65264078703095, 1.68685158559086, 1.71924489000963,
1.74994440160701, 1.77914340182238, 1.80683605037902, 1.8329284799749,
1.85702633860664, 1.87966618832539, 1.90087561596266, 1.92068458372179,
1.93878680429694, 1.95543121172768, 1.97084637077113, 1.98507694736024,
1.99809848497021, 2.00970880002476, 2.0203323177052, 2.03001268341046,
2.03879277291169, 2.04650577512196, 2.05333770822687, 2.05943314402644,
2.06482425018454, 2.06949798196726, 2.07333994584229, 2.07659348278548,
2.07927970501823, 2.08141886898654, 2.08289568306932, 2.0838167309169,
2.08426362597097, 2.08425136563913, 2.08376347737203, 2.08272129413889,
2.0812848925494, 2.07947064189011, 2.07729538738197, 2.07469292214384,
2.07175241370009, 2.06853824861803, 2.06507440050244, 2.06137194834198,
2.05743920123393, 2.05338026815633, 2.04922923154637, 2.04502128439529,
2.04081183457356, 2.03667849489226, 2.03266717082546, 2.02882485726764,
2.02522571223853, 2.02203770460098, 2.0192476674025, 2.01691496522578,
2.01510017656093, 2.01407190394343, 2.01385052206395, 2.01443658686903,
2.01590202326501, 2.01841515958639, 2.02236038715918, 2.02751514911719,
2.03395909497369, 2.0417722975773, 2.0515066820042, 2.06304583606758,
2.07630508949246, 2.09136419448661, 2.1084876952701, 2.12825404999518,
2.15014999861247, 2.17424485778335, 2.2006062832039, 2.23002312279098,
2.26215697251894, 2.2968041549068, 2.33400970407032, 2.37407124084828,
2.41760250489697, 2.4638260220103, 2.51275499122616, 2.56439904161634,
2.61956960340193, 2.67771334572469, 2.73852719993077, 2.80198177705806,
2.86829607508334, 2.93788571360972, 3.00990094479677, 3.08426858458271,
3.16091081580917, 3.24034038243829, 3.3219275671303, 3.40533998955121,
3.49044957580254, 3.57725694079797, 3.66572547223431, 3.75521994794363,
3.84555419923005, 3.93653584878367, 4.02795152621416, 4.11931406838431,
4.21034136592417, 4.30077594829744, 4.39020281325105, 4.47783699125228,
4.56363022834507, 4.64726414556742, 4.72841524545307, 4.80564182077226,
4.87897706777627, 4.94833350100604, 5.01335537401227, 5.07307996209023,
5.1259118810479, 5.17287726780172, 5.21364011252759, 5.24787000019841,
5.27287709283815, 5.28975954430921, 5.29886896386876, 5.29997375028775,
5.29185426024869, 5.27278869421654, 5.24503234244234, 5.20852067701082,
5.16320857873499, 5.10629616085988, 5.04001017913819, 4.96520581342729,
4.88204743797809)), .Names = c("pro.d.x", "pro.d.y"), row.names = 301:512, class = "data.frame")
I generally shade a polygon region fairly easy using plot() and polygon() like this:
plot(dat,xlim = c(0,1), ylim = c(0,10), bty = 'n', xlab = NA, ylab = NA, main = NA, yaxs='i', xaxs = 'i', las = 1, cex = 0)
polygon(dat, col = 'green')
However this plot looks like this:
Its shading some type of inverse of what I would like, and adding this very straight line. Any idea how I could shade all regions below the line?

The concept of polygon() is to connect all the points in order and at last it will link the last point to the first one. (That is why the straight line is created) To deal with it, you need to make an additional vertex c(1, 0) as a relay between the first and last points.
polygon(rbind(dat, c(1, 0)), col = 'green')

Scatterplot/volcano plot as an output from t.test

It is my data:
> dput(data)
structure(list(foldchange = c(-0.17853057272962, 3.60013440830337,
0.648944710423407, 1.38528656859267, 2.38882890772698, 1.91371568283765,
1.77591931363495, -1.51447851175922, 3.1416903855924, 1.51711016957237,
3.14707703341916, -1.44751697381751, 1.23658565660726, -0.512829478520189,
1.68928069854351, 2.07214007434345, 1.24799276690488, 6.25149659558487,
6.35918877435554, 5.86088034655694, 6.38890659730165, 5.05510489389194,
4.62060389613534, 3.75508710774868, 4.18575763169519, 5.31627264153051,
5.87091236649665, 6.71464565321037, 5.24000610137973, 4.25821377851955,
7.32277714374523, 3.1963295806222, 7.26249808789293, 4.44427454088613,
6.21495395454133, 8.74469985969472, 7.49982946564144, 4.45020943795387,
5.66199031471621, 5.29959827685333, 8.65819317196484, 5.86664903755707,
4.5740575604176, 8.24504501687473, 5.7916074097308, 4.18199181353134,
6.73956641707995, 4.60357435173805, 5.9205153184753, 3.65014593638562,
3.25607795403669, 5.56919529940933, 5.76811109641351, 6.10600807588152,
5.69234974521511, 5.5102283323841, 4.71232921328194, 6.55727667796477,
6.19995053763513, 4.64209842048131, 2.29238227264409, 6.79465189260383,
7.51968952300944, 7.81695579226993, 6.29926703626301, 4.64687557749141,
-2.44220257171186, 5.33199370895397, 5.18820654974805, 5.03498241997507,
6.29395095024283, 6.27602377186869, 6.78363927671209, 2.93759015053983,
6.65061604346668, 5.671080311536, 8.45199131823131, 5.79230415012306,
6.3270025568739, 7.0934690916107, 3.53800869528685, 3.08683779646569,
6.82111375813946, 3.02729078403818, 5.36024214796805, 4.04778690916444,
5.74765756930797, 4.10788604670319, 6.39978058654016, 5.7746717387066,
2.9247167920294, 7.54315906042106, 4.2742172444481, 6.61121261965006,
3.77012175922873, 4.94407566887151, 7.93185716981795, 7.05304621480995,
5.59261760605766, 5.42381827536197, 4.22645498896606, 5.15806113482742,
4.15403623593809, 6.40153592433128, 7.38902001442131, 2.72654942454391,
3.28741231093207, 3.79334363176751, 5.86527050546341, 5.10320299162235,
3.99883612485974, 6.45475273104195, 4.85567883821983, 6.55055641729645,
5.03746875764267, 7.27660375171087, 3.30817125205364, 5.23766518187252,
7.6588755830143, 3.53552741086444, 5.66455197986778, 8.40623211540503,
3.93151438658523, 4.26875667827774, 4.38704995079332, 6.75232207417316,
3.76563594385214, 6.08008097541859, 2.40905905886796, 5.50981339395085,
5.78780269825563, 0.2322416329745, 5.69410860233132, 4.94656296117567,
4.20594226169741, 4.50293112094816, 6.07430576125864, 3.67684848946483,
5.825851099141, 5.22439201628482, 7.72829018644622, 5.24910611944979,
4.01783420322782, 6.3888069709767, 5.26066649741256, 4.81678726754752,
6.5683773907454, 4.86957242886115, 6.76705114368644, 4.45769029291236,
7.77607596853254, 6.85213457577069, 1.40150885676552, 5.43409652313493,
3.21738153172066, 6.23015085020594, 5.50091556711613, 3.99948543388746,
5.85816098688073, 4.33775608630599, 5.91715214825299, 5.45674826103132,
7.66790792082782, 6.63325838131012, 3.89631178894691, 2.38526575667126,
1.58661549426288, 4.76626341270591, 6.73426272316295, 5.54006035262931,
4.07996836453406, 7.12087390022358, 6.96007461543701, 5.68202490906633,
6.58504044389069, 5.41036820315057, 6.61076809589319, 1.23772469006557,
4.1661166499875, 2.94059625298825, 8.38336956160413, 4.84906289871508,
4.93787691221829, 6.82379835301371, 5.82520798412864, 4.87582657907206,
5.36621724700676, 8.91922991774938, 3.49025109999629, 5.1232073414505,
4.27193651596412, 5.07417945071012, 3.61930149745523, 2.7469092502892,
6.67162003616042, 4.86698118654996, 7.53876919017093, 4.58878989189686,
5.78956520376246, 3.98567045767003, 8.14934433289609, 6.88879716040936,
7.00251456012974, 5.05095662412332, 6.39777439550296, 7.96268799093557,
4.82826575143863, 8.31032763539508, 4.74493707321909, 6.8929416113222,
6.84202549278968, 8.20121430968127, 2.91031632522241, 4.86190488550545,
5.5516465446887, 7.74996457744065, 2.25505738807845, 5.71069872298306,
1.97493599527532, 5.60445326341706, 6.39297603198736, 7.16298115056911,
4.52688105225386, 6.46061751569601, 4.78104064111529, 2.84526825975018,
6.5537923066898, 6.98258253798747, 5.0967396817644, 6.64593966293456,
4.8990397150507, 4.59878411928317, 5.55158425631398, 2.1065660739172,
2.40396884881286, 6.45421536580342, 5.98567305090568, 6.48593538806214,
7.41313242816247, 5.99024340460149, 5.63812101302136, -1.43793573368627
), all_pvalue = c(0.818887590433193, 0.00892139546812015, 0.434133425685163,
0.0536266013313456, 0.0450933986128537, 0.0367856407800243, 0.0941222253709068,
0.213526299326008, 0.00855327289085924, 0.0449444491492238, 0.00465098209958804,
0.0369667514121697, 0.0910501610463896, 0.378892060498093, 0.0595757077704777,
0.031626850730261, 0.0878934608628569, 0.0124722939899662, 0.0249040599008334,
0.0150448394759397, 0.0104024068916351, 0.0340577599419123, 0.0244947271472485,
0.122485247246688, 0.0211309039009709, 0.0201043058824927, 0.0152779076456381,
0.00938733157248341, 0.013807428170544, 0.01948348499862, 0.0119978631408916,
0.0997968486684091, 0.00504808432168479, 0.041226720485986, 0.0127407583225205,
0.00709338243276709, 0.00383605674079435, 0.0399854589187244,
0.0163222001450531, 0.00909800553027099, 4.81144191594885e-06,
0.0105231068132293, 0.0377428014886314, 0.00709059633291303,
0.00743882656849872, 0.0696633906261403, 0.00568508439144595,
0.0142206230933159, 0.0183625193075117, 0.0818974933908099, 0.0609423408539195,
0.00581572852382799, 0.00603085345605447, 0.00684099077236254,
0.0194814381299995, 0.0325641567545152, 0.0404062983698557, 0.00626431765905907,
0.00287654691487974, 0.0183318967557602, 0.202860908663261, 0.0033395497287839,
0.00804091896430431, 0.00524635934550195, 0.0100089274728679,
0.00470611875383887, 0.361169323059008, 3.90129727113067e-06,
0.0205225005371219, 0.0120500045076898, 0.00732055098038156,
0.0229916087025324, 0.00544774481324614, 0.108252753362848, 0.00911923198666818,
0.0122812312739145, 0.00343585528287351, 2.06257208918569e-05,
0.000904993210532763, 0.0015065294739414, 0.102118204143709,
0.118350948568527, 0.0136202759386966, 0.15251012082679, 0.0428316882385798,
0.0752744217284719, 0.00632986043900174, 0.0269567937932686,
0.00707537967267082, 0.0149356605279715, 0.163005190656644, 0.00929612911973378,
0.0196453775259569, 0.0133262667903121, 0.114115405959882, 0.0189109801950218,
0.00590387539250432, 0.00802692325541374, 0.0184346327727756,
0.00104714399950925, 0.0554774130259537, 0.0084910975380844,
0.0349856904843115, 0.0124547169142572, 8.60050865459788e-07,
0.1188515828269, 0.133720711339729, 0.0641704698591151, 0.0075124796175742,
3.94432669779951e-07, 0.0740343932996142, 0.00160775849728933,
6.61326355967731e-06, 0.0106610228625055, 0.00539717052083514,
0.00492255859958016, 0.122531121480312, 0.0159768620962635, 0.00365780586610517,
0.0135086464724098, 0.0256265865459836, 0.00391215568816396,
0.0271580638871089, 0.0512876942387616, 0.0135566028247977, 0.0169110062500104,
0.0848247460082605, 0.0158705161056627, 0.176345767878009, 0.0124719098589431,
0.0152388258990332, 0.866066700538701, 0.042979313425954, 0.0160125031962862,
0.0441592105265668, 0.0124108545467876, 1.80875437447348e-06,
0.0704671677844812, 0.0111351361909711, 1.62883074487165e-07,
0.000694779973318456, 0.0120079549431507, 0.0196183531679123,
0.0100186493225724, 0.0173294242221405, 0.0573614373022037, 1.30612522568528e-07,
0.023898721968545, 0.00665918028588502, 0.06907634259105, 0.00518730999717143,
0.0109717740506543, 0.394662670743417, 0.0165847750353483, 0.0593829446004973,
0.000113216713641592, 0.0222583368635018, 0.0694462386106761,
0.00437955933335859, 0.0631677226779205, 0.00649674049335009,
1.10699021652115e-07, 0.00543997929535101, 0.00292890932795308,
0.021574456097881, 0.17997075681454, 0.279770535484078, 0.050945514039484,
0.0102923410906512, 0.0103389721465925, 0.112227938286441, 0.00398090342551613,
0.0428676019413789, 0.00337313863923396, 0.0092822848687081,
0.00778850900332348, 0.00146877357609246, 0.448950342618974,
0.0801294647165026, 0.0797698230881222, 3.72112644308374e-05,
0.00728653989704988, 0.0320006421510141, 0.000420503611946363,
0.0207086037412542, 0.0448889114898146, 6.94555482668648e-07,
0.000135994029220134, 0.0982385638169219, 0.0130399195487442,
0.0297056523919866, 0.0208455457844783, 0.104595177359326, 0.100684824982166,
0.00110472016462074, 0.0664329210478157, 0.0140428240948167,
0.0468861767036331, 0.0102813794498838, 0.0693803856754811, 0.00566014993761021,
0.00275831473628789, 0.00234550137829788, 0.0116252548991317,
0.0143153463606759, 0.00995352784254985, 0.00238257560505637,
0.00182950280683248, 0.013195116994233, 0.000640921917352429,
0.000171523469251389, 0.0087256530793244, 0.0989386901919075,
0.0321103798387662, 0.0222773975090858, 0.007943310795799, 0.171053950985746,
0.012874269835152, 0.38817395138115, 0.00787508757030877, 0.0114487159712535,
0.0187831808209386, 0.0452479566115196, 0.00640720682677851,
0.0315482155790946, 0.125132833439637, 0.0115284490664364, 0.00538397509568388,
0.00517772137814985, 0.00176762574966497, 0.0273122011845722,
0.0191341545126795, 0.0235413416908084, 0.270326642321866, 0.179926862630332,
0.008734949388329, 0.0138918131322944, 0.00507817315892406, 0.000173786133243839,
0.00225184544628237, 0.0181059516295825, 0.541544494598043),
probename = c("Mark_1", "Mark_2", "Mark_3", "Mark_4", "Mark_5",
"Mark_6", "Mark_7", "Mark_8", "Mark_9", "Mark_10", "Mark_11",
"Mark_12", "Mark_13", "Mark_14", "Mark_15", "Mark_16", "Mark_17",
"Mark_18", "Mark_19", "Mark_20", "Mark_21", "Mark_22", "Mark_23",
"Mark_24", "Mark_25", "Mark_26", "Mark_27", "Mark_28", "Mark_29",
"Mark_30", "Mark_31", "Mark_32", "Mark_33", "Mark_34", "Mark_35",
"Mark_36", "Mark_37", "Mark_38", "Mark_39", "Mark_40", "Mark_41",
"Mark_42", "Mark_43", "Mark_44", "Mark_45", "Mark_46", "Mark_47",
"Mark_48", "Mark_49", "Mark_50", "Mark_51", "Mark_52", "Mark_53",
"Mark_54", "Mark_55", "Mark_56", "Mark_57", "Mark_58", "Mark_59",
"Mark_60", "Mark_61", "Mark_62", "Mark_63", "Mark_64", "Mark_65",
"Mark_66", "Mark_67", "Mark_68", "Mark_69", "Mark_70", "Mark_71",
"Mark_72", "Mark_73", "Mark_74", "Mark_75", "Mark_76", "Mark_77",
"Mark_78", "Mark_79", "Mark_80", "Mark_81", "Mark_82", "Mark_83",
"Mark_84", "Mark_85", "Mark_86", "Mark_87", "Mark_88", "Mark_89",
"Mark_90", "Mark_91", "Mark_92", "Mark_93", "Mark_94", "Mark_95",
"Mark_96", "Mark_97", "Mark_98", "Mark_99", "Mark_100", "Mark_101",
"Mark_102", "Mark_103", "Mark_104", "Mark_105", "Mark_106",
"Mark_107", "Mark_108", "Mark_109", "Mark_110", "Mark_111",
"Mark_112", "Mark_113", "Mark_114", "Mark_115", "Mark_116",
"Mark_117", "Mark_118", "Mark_119", "Mark_120", "Mark_121",
"Mark_122", "Mark_123", "Mark_124", "Mark_125", "Mark_126",
"Mark_127", "Mark_128", "Mark_129", "Mark_130", "Mark_131",
"Mark_132", "Mark_133", "Mark_134", "Mark_135", "Mark_136",
"Mark_137", "Mark_138", "Mark_139", "Mark_140", "Mark_141",
"Mark_142", "Mark_143", "Mark_144", "Mark_145", "Mark_146",
"Mark_147", "Mark_148", "Mark_149", "Mark_150", "Mark_151",
"Mark_152", "Mark_153", "Mark_154", "Mark_155", "Mark_156",
"Mark_157", "Mark_158", "Mark_159", "Mark_160", "Mark_161",
"Mark_162", "Mark_163", "Mark_164", "Mark_165", "Mark_166",
"Mark_167", "Mark_168", "Mark_169", "Mark_170", "Mark_171",
"Mark_172", "Mark_173", "Mark_174", "Mark_175", "Mark_176",
"Mark_177", "Mark_178", "Mark_179", "Mark_180", "Mark_181",
"Mark_182", "Mark_183", "Mark_184", "Mark_185", "Mark_186",
"Mark_187", "Mark_188", "Mark_189", "Mark_190", "Mark_191",
"Mark_192", "Mark_193", "Mark_194", "Mark_195", "Mark_196",
"Mark_197", "Mark_198", "Mark_199", "Mark_200", "Mark_201",
"Mark_202", "Mark_203", "Mark_204", "Mark_205", "Mark_206",
"Mark_207", "Mark_208", "Mark_209", "Mark_210", "Mark_211",
"Mark_212", "Mark_213", "Mark_214", "Mark_215", "Mark_216",
"Mark_217", "Mark_218", "Mark_219", "Mark_220", "Mark_221",
"Mark_222", "Mark_223", "Mark_224", "Mark_225", "Mark_226",
"Mark_227", "Mark_228", "Mark_229", "Mark_230", "Mark_231",
"Mark_232", "Mark_233", "Mark_234", "Mark_235", "Mark_236",
"Mark_237", "Mark_238", "Mark_239", "Mark_240", "Mark_241",
"Mark_242")), row.names = c("Mark_1", "Mark_2", "Mark_3",
"Mark_4", "Mark_5", "Mark_6", "Mark_7", "Mark_8", "Mark_9", "Mark_10",
"Mark_11", "Mark_12", "Mark_13", "Mark_14", "Mark_15", "Mark_16",
"Mark_17", "Mark_18", "Mark_19", "Mark_20", "Mark_21", "Mark_22",
"Mark_23", "Mark_24", "Mark_25", "Mark_26", "Mark_27", "Mark_28",
"Mark_29", "Mark_30", "Mark_31", "Mark_32", "Mark_33", "Mark_34",
"Mark_35", "Mark_36", "Mark_37", "Mark_38", "Mark_39", "Mark_40",
"Mark_41", "Mark_42", "Mark_43", "Mark_44", "Mark_45", "Mark_46",
"Mark_47", "Mark_48", "Mark_49", "Mark_50", "Mark_51", "Mark_52",
"Mark_53", "Mark_54", "Mark_55", "Mark_56", "Mark_57", "Mark_58",
"Mark_59", "Mark_60", "Mark_61", "Mark_62", "Mark_63", "Mark_64",
"Mark_65", "Mark_66", "Mark_67", "Mark_68", "Mark_69", "Mark_70",
"Mark_71", "Mark_72", "Mark_73", "Mark_74", "Mark_75", "Mark_76",
"Mark_77", "Mark_78", "Mark_79", "Mark_80", "Mark_81", "Mark_82",
"Mark_83", "Mark_84", "Mark_85", "Mark_86", "Mark_87", "Mark_88",
"Mark_89", "Mark_90", "Mark_91", "Mark_92", "Mark_93", "Mark_94",
"Mark_95", "Mark_96", "Mark_97", "Mark_98", "Mark_99", "Mark_100",
"Mark_101", "Mark_102", "Mark_103", "Mark_104", "Mark_105", "Mark_106",
"Mark_107", "Mark_108", "Mark_109", "Mark_110", "Mark_111", "Mark_112",
"Mark_113", "Mark_114", "Mark_115", "Mark_116", "Mark_117", "Mark_118",
"Mark_119", "Mark_120", "Mark_121", "Mark_122", "Mark_123", "Mark_124",
"Mark_125", "Mark_126", "Mark_127", "Mark_128", "Mark_129", "Mark_130",
"Mark_131", "Mark_132", "Mark_133", "Mark_134", "Mark_135", "Mark_136",
"Mark_137", "Mark_138", "Mark_139", "Mark_140", "Mark_141", "Mark_142",
"Mark_143", "Mark_144", "Mark_145", "Mark_146", "Mark_147", "Mark_148",
"Mark_149", "Mark_150", "Mark_151", "Mark_152", "Mark_153", "Mark_154",
"Mark_155", "Mark_156", "Mark_157", "Mark_158", "Mark_159", "Mark_160",
"Mark_161", "Mark_162", "Mark_163", "Mark_164", "Mark_165", "Mark_166",
"Mark_167", "Mark_168", "Mark_169", "Mark_170", "Mark_171", "Mark_172",
"Mark_173", "Mark_174", "Mark_175", "Mark_176", "Mark_177", "Mark_178",
"Mark_179", "Mark_180", "Mark_181", "Mark_182", "Mark_183", "Mark_184",
"Mark_185", "Mark_186", "Mark_187", "Mark_188", "Mark_189", "Mark_190",
"Mark_191", "Mark_192", "Mark_193", "Mark_194", "Mark_195", "Mark_196",
"Mark_197", "Mark_198", "Mark_199", "Mark_200", "Mark_201", "Mark_202",
"Mark_203", "Mark_204", "Mark_205", "Mark_206", "Mark_207", "Mark_208",
"Mark_209", "Mark_210", "Mark_211", "Mark_212", "Mark_213", "Mark_214",
"Mark_215", "Mark_216", "Mark_217", "Mark_218", "Mark_219", "Mark_220",
"Mark_221", "Mark_222", "Mark_223", "Mark_224", "Mark_225", "Mark_226",
"Mark_227", "Mark_228", "Mark_229", "Mark_230", "Mark_231", "Mark_232",
"Mark_233", "Mark_234", "Mark_235", "Mark_236", "Mark_237", "Mark_238",
"Mark_239", "Mark_240", "Mark_241", "Mark_242"), class = "data.frame")
I would like to create a nice graph (publication wise) to represent a data stored in this data frame. In general I would like to create a scatterplot or volcano plot with colors/shapes indicating what is important in my data.
I would like to achieve something like that:
Or:
As a filter cutoff we can start with: foldchange > 4 & all_pvalue < 0.05. I would like to also have a possibility to highlight (different color/shape and with a label) only couple of rows. Lets say as a starting point I would like to highlight Mark_23 and Mark_65.
Is it doable in R ? I have already tried something with volcano plot:
volcano = ggplot(data = data, aes(x = foldchange, y = -1*log10(all_pvalue)))
volcano + geom_point()
Can someone help me with going further ?

Here is an attempt to show what's possible
data$zones := interaction(abs(data$foldchange)>4,data$all_pvalue<0.05)
library(ggplot2)
library(ggrepel)
ggplot(data = data, aes(x = foldchange, y = -1*log10(all_pvalue),color = zones))+
geom_point()+
theme_light()+
geom_label_repel(aes(label=ifelse(probename %in% c("Mark_23","Mark_65"),as.character(probename),"")),
box.padding = 0.35,
point.padding = 0.5,
segment.color = 'grey50',show.legend = FALSE) +
geom_hline(yintercept = -1*log10(0.05),linetype = "dashed")+
geom_vline(xintercept = 4,linetype = "dashed")+
scale_color_manual(labels = c("bad", "also bad","good","not sure"), values = c("gray50","green","blue", "red"))+
labs(x = "fold change",
y = expression(log[10](p)),
color = "meaning")
there are many things here. geom_label_repel from library(ggrepel) allow to link your few points you want to show with a label. The easiest way of having the different colours is to create a variable that says in what zone you are. That is what I did with the zones variable, that you use in colour to have a changing color. You can manualy change it with the scale_color_manual function.
In the labs function I used the expression function that allows you to do superscripts. You can of course change the theme including, margins, axis, text size etc.
You can for example add theme(legend.position="top") to your plot to have the legend on top.

Shade Area using Polygon in R

This is my data:
data=structure(c(-0.0471957808923093, -0.0467988635384236, -0.0463342530558707,
-0.0457926330882236, -0.0451638382532273, -0.0444368569264807,
-0.0435998514313549, -0.0426401983500639, -0.0415445516030975,
-0.0402989307802484, -0.0388888369350307, -0.0372993976665075,
-0.0355155428026053, -0.0335222113649458, -0.0313045897396848,
-0.028848380109615, -0.026140097233332, -0.023167390606974, -0.0199193879382963,
-0.0163870547327459, -0.0125635636730607, -0.00844466640840535,
-0.00402905939999997, 0.000681265356828354, 0.00568069455370951,
0.0109597029612447, 0.01650460835736, 0.0222973821907433, 0.0283155256820092,
0.0345320202245192, 0.0409153597579977, 0.0474296712607441, 0.0540349276635842,
0.0606872553679083, 0.0673393362019039, 0.0739409011365642, 0.0804393104801724,
0.0867802126590783, 0.0929082711616744, 0.0987679468617816, 0.104304320836165,
0.109463941032544, 0.114195674804447, 0.11845154847061, 0.122187554726899,
0.125364408967776, 0.127948236372159, 0.12991117296429, 0.131231865742443,
0.131895859325063, 0.131895859325063, 0.131231865742443, 0.12991117296429,
0.127948236372159, 0.125364408967776, 0.122187554726899, 0.11845154847061,
0.114195674804447, 0.109463941032544, 0.104304320836165, 0.0987679468617816,
0.0929082711616744, 0.0867802126590783, 0.0804393104801724, 0.0739409011365642,
0.0673393362019039, 0.0606872553679083, 0.0540349276635841, 0.0474296712607441,
0.0409153597579976, 0.0345320202245192, 0.0283155256820092, 0.0222973821907433,
0.01650460835736, 0.0109597029612447, 0.00568069455370951, 0.000681265356828344,
-0.00402905939999997, -0.00844466640840537, -0.0125635636730607,
-0.0163870547327459, -0.0199193879382963, -0.023167390606974,
-0.026140097233332, -0.028848380109615, -0.0313045897396848,
-0.0335222113649458, -0.0355155428026053, -0.0372993976665075,
-0.0388888369350306, -0.0402989307802484, -0.0415445516030976,
-0.0426401983500639, -0.0435998514313549, -0.0444368569264807,
-0.0451638382532273, -0.0457926330882236, -0.0463342530558707,
-0.0467988635384236, -0.0471957808923093, -169.075778315231,
-165.419424999945, -161.763071684659, -158.106718369373, -154.450365054087,
-150.794011738801, -147.137658423515, -143.481305108229, -139.824951792942,
-136.168598477656, -132.51224516237, -128.855891847084, -125.199538531798,
-121.543185216512, -117.886831901226, -114.23047858594, -110.574125270654,
-106.917771955368, -103.261418640081, -99.6050653247953, -95.9487120095092,
-92.2923586942231, -88.636005378937, -84.9796520636509, -81.3232987483648,
-77.6669454330787, -74.0105921177926, -70.3542388025065, -66.6978854872204,
-63.0415321719343, -59.3851788566482, -55.7288255413621, -52.072472226076,
-48.4161189107899, -44.7597655955038, -41.1034122802177, -37.4470589649316,
-33.7907056496455, -30.1343523343594, -26.4779990190733, -22.8216457037872,
-19.1652923885011, -15.508939073215, -11.8525857579289, -8.19623244264278,
-4.53987912735666, -0.88352581207058, 2.77282750321554, 6.42918081850162,
10.0855341337877, 13.7418874490738, 17.3982407643599, 21.054594079646,
24.7109473949321, 28.3673007102183, 32.0236540255043, 35.6800073407905,
39.3363606560765, 42.9927139713627, 46.6490672866487, 50.3054206019349,
53.9617739172209, 57.6181272325071, 61.2744805477931, 64.9308338630793,
68.5871871783654, 72.2435404936515, 75.8998938089376, 79.5562471242237,
83.2126004395098, 86.8689537547959, 90.525307070082, 94.1816603853681,
97.8380137006542, 101.49436701594, 105.150720331226, 108.807073646513,
112.463426961799, 116.119780277085, 119.776133592371, 123.432486907657,
127.088840222943, 130.745193538229, 134.401546853515, 138.057900168801,
141.714253484087, 145.370606799374, 149.02696011466, 152.683313429946,
156.339666745232, 159.996020060518, 163.652373375804, 167.30872669109,
170.965080006376, 174.621433321662, 178.277786636948, 181.934139952235,
185.590493267521, 189.246846582807, 192.903199898093), .Dim = c(100L,
2L), .Dimnames = list(NULL, c("Y", "X")))
With this data I can plot this graph below:
plot(data[,1],data[,2],type="l")
abline(h=quantile(data[,2],0.75))
abline(h=quantile(data[,2],0.25))
Using polygon function how can I shade the area (with different colors) between the distribution tails and 0.75/0.25 quantiles lines?

An answer:
Let dat be your data frame,
oo <- dat[24:76, ];
oo[1, ] <- c(dat[1,1], dat[25,2]);
oo[, nrow(oo)] <- c(dat[100,1], dat[75,2]);
plot(dat, type = "l"); polygon(oo, col = "gray")

Plotting Curves from Data Frame Columns

i am facing a problem in plot ols estimations in a scatterplot:
I have this data frame: With 9 columns and 99 rows:
structure(list(Y = c(-0.145442175, 0.291096141, 0.489923112,
-2.038363166, 1.180430664, 0.188114666, 0.850922634, 1.172142766,
-3.980837975, 0.285762444, 2.497040646, 0.658010994, -0.925171981,
0.37076995, -1.108211119, -0.409242669, -1.234583525, -0.385841816,
0.016744771, -0.584406288, 1.17224811, -0.746804388, -0.625028046,
0.257871468, -2.735845346, 2.619304857, -0.406825232, 0.323665151,
2.218951363, -0.821029648, -0.872854889, -2.663306158, -0.121976044,
0.881566376, -1.972706678, -3.855576256, 2.927421113, 1.314753531,
0.234296206, 0.828464757, -0.909318569, 0.616134903, -0.567630403,
0.624571064, -0.414112923, 0.642200314, -0.309421266, 0.195312598,
-0.519988256, 0, 0.081070175, 0.032446432, -0.534025032, -0.426783307,
-0.38495511, -0.207900219, -1.953789746, -0.616924355, -0.783222881,
-1.935420969, 0.638445535, 1.080925923, -1.598076681, 0.25063631,
-0.697183766, 0.188971653, -0.415267389, -4.154506044, 1.163226552,
0.036569698, -0.547147074, 1.11937374, 0.383311682, -0.875037781,
-0.372684863, 0.306816004, -1.250561544, -1.042237738, -1.757788446,
0.021079982, 1.844023775, 1.674645753, -0.428546132, -0.527705597,
0.542202572, -0.621479123, -0.050415867, -0.122332943, 0.468553764,
0.216998274, 3.088480781, 0.434099931, 2.114916704, -2.407018936,
-0.127060127, 0.546756422, 0.263207486, 0.63453915, 0.76832746
), X = c(0.009476137, -0.0236354, 0.0094081, 0.11715252, 0.032324021,
0.0461193, 0.050794971, 0.032372819, 0.202121874, 0.390821859,
-0.124492596, -0.127305193, -0.22233597, -0.081113713, 0.09952616,
0.22494711, 0.226621495, 0.411607624, 0.089200478, -0.013454832,
-0.013547165, -0.232366214, 0.03140992, -0.026798837, -0.084556341,
-0.091993172, -0.303730207, -0.236679148, -0.284235285, -0.355253166,
-0.179645537, -0.01381843, -0.022950244, -0.050065976, -0.032018504,
-0.087168055, -0.081865767, -0.253991077, -0.242882759, -0.150225053,
-0.16596575, -0.156887247, -0.071795146, -0.100408802, -0.067307731,
0.024006869, -0.019250912, -0.02399429, 0.038421097, 0.062320065,
0.07187025, 0.024019462, 0.038421097, 0.033539309, 0.014351457,
-0.009575137, 0.014343968, 0.028561284, 0.0404213, 0.026065697,
-0.004700435, -0.072739794, -0.042217496, -0.05889531, -0.130522139,
-0.136291869, -0.120099035, -0.091418565, -0.122040844, -0.124609029,
-0.096255449, -0.190338762, -0.11611752, -0.055598423, -0.065293448,
-0.038746326, -0.029090518, -0.067627348, -0.082097445, -0.215845836,
-0.389993696, -0.264371785, -0.126530291, -0.111840985, -0.094952196,
-0.136700196, -0.190968195, -0.156564122, -0.181077278, -0.15381292,
-0.122020692, -0.107867301, -0.068642333, -0.034348677, -0.073289926,
-0.063314884, -0.092537576, -0.165375956, -0.15042398), Null = c(-0.036795117836493,
0.0120555676565338, -0.0366906491623935, -0.22323992930528, -0.0728300398338213,
-0.0955073599141197, -0.103350601084975, -0.0729090354522075,
-0.400153521158964, -0.887015257107641, 0.1362666683468, 0.13919994231771,
0.221388292373518, 0.087380368104602, -0.189831042487278, -0.452154909992189,
-0.456044210600938, -0.948567833126862, -0.170785020294756, -0.00253939338337472,
-0.00240533038312774, 0.228145471304061, -0.0713518661553421,
0.0165138860659871, 0.0915102566139487, 0.100284493544177, 0.265652059802101,
0.230938443729295, 0.257246215885006, 0.281209408151878, 0.188533028671265,
-0.00201164134414489, 0.0110851592192505, 0.0481858583559124,
0.0237904823161768, 0.094614581053392, 0.0882862377341187, 0.241468070168396,
0.234837060900023, 0.162029971029324, 0.176601607696189, 0.168307425791361,
0.0759851164110966, 0.109970788582389, 0.0703849242291975, -0.059492586621119,
0.00581616568295407, 0.0125631925046972, -0.0827672867080164,
-0.123023227393077, -0.139691063870559, -0.0595125909296922,
-0.0827672867080164, -0.074799966578053, -0.044324863847201,
-0.00820062690976645, -0.0443132308515717, -0.0667648997869916,
-0.0860567642206439, -0.0627706942069095, -0.0153914247452083,
0.0771546773236518, 0.0377224646820258, 0.0596889425617937, 0.1425196179012,
0.148379247725525, 0.13162698340227, 0.0996137276510431, 0.133686233062275,
0.136388667637584, 0.105222539655097, 0.197385328960716, 0.127361748973716,
0.0554268640818151, 0.0678473149754353, 0.0330232883757411, 0.0197208677278167,
0.0707862239701058, 0.0885648870712001, 0.216820906265572, 0.286245951224793,
0.247258814186372, 0.138394666330137, 0.122716205945161, 0.103719679674083,
0.148789344619283, 0.197893429730301, 0.168006688568371, 0.189742414352596,
0.165430712615822, 0.133664933948451, 0.11833998959919, 0.0720581343490991,
0.0270069004188009, 0.077834296346802, 0.0653403280475977, 0.100918894574441,
0.176071877748707, 0.162219750035618), OLS_1 = c(-2.97674658085357,
-2.95792547866683, -2.97674412477729, -2.7937460366665, -2.96913739819288,
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-2.94427256930162, -2.86349763526591, -2.88884317216564, -2.80553055841713,
-2.47811758528604, -2.55927025907886), OLS_2 = c(-2.83865555876367,
-2.82203271957637, -2.83865550287755, -2.66277932892391, -2.83073328950317,
-2.8182826854432, -2.81275284604234, -2.83069942358793, -2.27571536741022,
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-2.80953310903525, -2.73477077084888, -2.75830410348864, -2.68083005992821,
-2.37496906485549, -2.4508827380889), OLS_3 = c(-2.58083646581942,
-2.5683178338716, -2.58084089114316, -2.41826149362172, -2.57232965672457,
-2.56041470241702, -2.55521822468909, -2.57229650627193, -2.0704676472292,
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-2.55797145858227, -2.49443477420494, -2.51458468009137, -2.44801138045477,
-2.18238842077399, -2.24852076027753), OLS_4 = c(-2.4289478285331,
-2.41681903415288, -2.42895104301202, -2.27867081965274, -2.4213161496905,
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-2.407018936, -2.34719820268328, -2.36613768370737, -2.30361375259329,
-2.05473632620086, -2.11665669129059), OLS_5 = c(-2.2911912568638,
-2.28123967681215, -2.29119683586224, -2.14805590207021, -2.28325670505768,
-2.27261386268403, -2.268006850245, -2.28322682471889, -1.84560662105751,
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-2.27258448425562, -2.21873931960315, -2.23587705524471, -2.17915915787995,
-1.95172754860073, -2.00843362344438), OLS_6 = c(-2.14615029819501,
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-2.06498074945642, -2.03501978622706, -1.5377512452434, -0.29431817292714,
-1.25902518147068, -1.91393009686737, -1.95881793980313, -2.00449939786682,
-1.88004274517372, -1.66034827254381, -1.80722288608151, -1.70526848086161,
-1.81783189921089, -1.92822084254891, -1.97013652098612, -2.0630309651189,
-2.1162243283256, -2.0538104595074, -2.07300962091288, -2.0105124912345,
-1.7721107506457, -1.83066883021211)), .Names = c("Y", "X", "Null",
"OLS_1", "OLS_2", "OLS_3", "OLS_4", "OLS_5", "OLS_6"), row.names = c(NA,
99L), class = "data.frame")
My scatter plot will consist of the first column (Y) and the second column (X).
The third column i will not use.
From the fourth column are the curves that are fitted values of OLS regressions.
How do I include them using the plot function?
i am doing this, but its not working
plot(data[,2],data[,1])
for(i in 4:9){
lines(data[,i])
}
What am i doing wrong?

Basically you want
data <- data[order(data$X), ] ## reordering so that `X` is increasing
plot(data$X, data$Y)
for (i in 4:9) {
lines(data$X, data[,i], col = i) ## remember to set `x-coordinates`
}
legend("topright", legend = names(data)[4:9], col = 4:9, lty = 1) ## add legend

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