statistic test on univariate time series without replicates in R - r

I'm having the following data on an experiment, where I want to find out, how an bacterium reacts on two similar levels (nucleic acids) to a treatment.
Treatment happened after the sampling on day 0 (vertical dashed line). As you can see, it got more abundant (line is average, dots are measured triplicates). I have 3 technical replicates (doing the lab work 3 times on the same sample) but no biological replicates.
For publication purposes, I want to show that the induced change is significant. So far I used a two tailed t test for heteroscedastic samples, using the 3 sample points day -25 to 0 as sample group 1 and 5 sample points day 3 to 17 as sample group 2 (this is the range where most of my bacteria reacted).
Afterwards I performed the Bonferroni correction on the p values to correct for multiple testing. But is this the correct way and is it possible with only technical replicates?
I'm finding many hints on fitting models to my graph, but I only want to test for statistic significance of difference between before and after treatment. So I'm searching for the correct statistics and also how to apply it in R. Any help appreciated!
here is the plot:
require(ggplot2)
require(scales)
ggplot(data=sample_data, aes(x=days-69,y=value,colour=nucleic_acid,group=nucleic_acid,lty=nucleic_acid))+
geom_vline(aes(xintercept=0),linetype="dashed", size=1.2)+
geom_point(aes(),colour="black")+
stat_summary(aes(colour=nucleic_acid),colour="black",fun.y="mean", geom="line", size=1.5)+
scale_linetype_manual(values=c("dna"=1,"cdna"=4),
name="Nucleic acid ",
breaks=c("cdna","dna"),
labels=c("16S rRNA","16S rDNA"))+
scale_x_continuous(breaks = scales::pretty_breaks(n = 20))+
theme_bw()+
scale_y_continuous(label= function(x) {ifelse(x==0, "0", parse(text=gsub("[+]", "", gsub("e", " %*% 10^", scientific_format()(x)))))})+
theme(axis.title.y = element_text(angle=90,vjust=0.5))+
theme(axis.text=element_text(size=12))+
theme(legend.text=element_text(size=11))+
theme(panel.grid.major=element_line(colour = NA, size = 0.2))+
theme(panel.grid.minor=element_line(colour = NA, size = 0.5))+
theme(legend.position="bottom")+
theme(legend.background = element_rect(fill="grey90",linetype="solid"))+
labs(x="Days",
y=expression(atop("Absolute abundance in cell equivalents",bgroup("[",relative~abundance~x~cells~mL^{-1},"]"))))
and here is my data:
sample_data<-structure(list(time = c(10L, 10L, 10L, 10L, 10L, 10L, 11L, 11L,
11L, 11L, 11L, 11L, 12L, 12L, 12L, 12L, 12L, 12L, 13L, 13L, 13L,
13L, 13L, 13L, 14L, 14L, 14L, 14L, 14L, 14L, 15L, 15L, 15L, 15L,
15L, 15L, 16L, 16L, 16L, 16L, 16L, 16L, 17L, 17L, 17L, 17L, 18L,
18L, 18L, 18L, 18L, 18L, 19L, 19L, 19L, 19L, 19L, 19L, 4L, 4L,
4L, 4L, 4L, 4L, 5L, 5L, 5L, 5L, 5L, 5L, 6L, 6L, 6L, 6L, 6L, 6L,
7L, 7L, 7L, 7L, 7L, 7L, 8L, 8L, 8L, 8L, 8L, 8L, 9L, 9L, 9L, 9L,
9L, 9L), days = c(83L, 83L, 83L, 83L, 83L, 83L, 86L, 86L, 86L,
86L, 86L, 86L, 91L, 91L, 91L, 91L, 91L, 91L, 98L, 98L, 98L, 98L,
98L, 98L, 105L, 105L, 105L, 105L, 105L, 105L, 112L, 112L, 112L,
112L, 112L, 112L, 119L, 119L, 119L, 119L, 119L, 119L, 126L, 126L,
126L, 126L, 133L, 133L, 133L, 133L, 133L, 133L, 140L, 140L, 140L,
140L, 140L, 140L, 44L, 44L, 44L, 44L, 44L, 44L, 62L, 62L, 62L,
62L, 62L, 62L, 69L, 69L, 69L, 69L, 69L, 69L, 72L, 72L, 72L, 72L,
72L, 72L, 76L, 76L, 76L, 76L, 76L, 76L, 79L, 79L, 79L, 79L, 79L,
79L), parallel = c(3L, 1L, 2L, 2L, 3L, 1L, 2L, 3L, 3L, 2L, 1L,
1L, 2L, 1L, 3L, 3L, 1L, 2L, 2L, 3L, 3L, 1L, 1L, 2L, 2L, 3L, 1L,
1L, 3L, 2L, 1L, 1L, 2L, 3L, 3L, 2L, 2L, 3L, 3L, 1L, 1L, 2L, 3L,
1L, 1L, 3L, 2L, 3L, 1L, 1L, 2L, 3L, 1L, 2L, 3L, 3L, 1L, 2L, 2L,
3L, 3L, 1L, 1L, 2L, 2L, 3L, 1L, 1L, 3L, 2L, 1L, 2L, 3L, 3L, 1L,
2L, 2L, 3L, 3L, 1L, 1L, 2L, 2L, 1L, 1L, 2L, 3L, 3L, 1L, 2L, 3L,
3L, 1L, 2L), nucleic_acid = structure(c(1L, 1L, 1L, 2L, 2L, 2L,
2L, 2L, 1L, 1L, 1L, 2L, 2L, 2L, 2L, 1L, 1L, 1L, 2L, 2L, 1L, 2L,
1L, 1L, 2L, 2L, 2L, 1L, 1L, 1L, 2L, 1L, 1L, 1L, 2L, 2L, 1L, 1L,
2L, 1L, 2L, 2L, 1L, 1L, 2L, 2L, 1L, 1L, 1L, 2L, 2L, 2L, 1L, 1L,
1L, 2L, 2L, 2L, 2L, 2L, 1L, 2L, 1L, 1L, 2L, 2L, 2L, 1L, 1L, 1L,
2L, 2L, 2L, 1L, 1L, 1L, 2L, 2L, 1L, 2L, 1L, 1L, 2L, 2L, 1L, 1L,
1L, 2L, 1L, 1L, 1L, 2L, 2L, 2L), .Label = c("cdna", "dna"), class = "factor"),
habitat = structure(c(1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L), .Label = "water", class = "factor"),
value = c(5316639.62, 6402573.912, 6294710.95, 2369809.996,
2679661.691, 2105693.166, 2108794.224, 2487177.041, 6021765.438,
5524939.499, 6016021.786, 2628427.206, 3164229.113, 896068.7656,
2966515.364, 4436008.425, 1860580.149, 3911309.508, 888489.0268,
1004334.365, 1141636.992, 961140.0729, 1072009.18, 1134997.852,
668013.4333, 459645.1058, 645944.1129, 702293.6865, 590620.3693,
642136.7523, 932531.1588, 1224299.065, 1502344.5, 1545034.46,
1122002.798, 1411050.57, 1465061.711, 1378876.488, 810348.2823,
1361496.248, 1056558.288, 897876.4169, 931519.9524, 1165768.09,
957873.9045, 746011.7558, 624116.5603, 522209.2283, 551120.1371,
440096.4446, 565108.4447, 373304.8604, 266595.7171, 333767.4042,
185612.6681, 144899.8736, 173739.3969, 211490.827, 223815.0867,
296455.4243, 1278759.217, 247292.4355, 1171554.199, 1146278.577,
227443.8462, 233542.6719, 253224.2629, 875040.4892, 1151921.616,
1285744.479, 355381.9156, 110724.7928, 252238.9632, 912865.3372,
608269.6498, 500307.5301, 774955.9598, 1374106.94, 3121909.308,
1071086.757, 3033665.589, 2984567.998, 1396313.444, 1356465.773,
4480581.956, 4273141.231, 4957691.655, 1910056.657, 5520085.32,
5094686.657, 5990052.759, 2272441.566, 1513268.608, 1821716.75
), treatment2 = structure(c(1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L), .Label = "Treatment", class = "factor")), .Names = c("time",
"days", "parallel", "nucleic_acid", "habitat", "value", "treatment2"
), class = "data.frame", row.names = c(51243L, 51244L, 51245L,
51246L, 51247L, 51248L, 51255L, 51256L, 51257L, 51258L, 51259L,
51260L, 51267L, 51268L, 51269L, 51270L, 51271L, 51272L, 51279L,
51280L, 51281L, 51282L, 51283L, 51284L, 51291L, 51292L, 51293L,
51294L, 51295L, 51296L, 51303L, 51304L, 51305L, 51306L, 51307L,
51308L, 51315L, 51316L, 51317L, 51318L, 51319L, 51320L, 51326L,
51327L, 51328L, 51329L, 51336L, 51337L, 51338L, 51339L, 51340L,
51341L, 51348L, 51349L, 51350L, 51351L, 51352L, 51353L, 51360L,
51361L, 51362L, 51363L, 51364L, 51365L, 51372L, 51373L, 51374L,
51375L, 51376L, 51377L, 51384L, 51385L, 51386L, 51387L, 51388L,
51389L, 51396L, 51397L, 51398L, 51399L, 51400L, 51401L, 51408L,
51409L, 51410L, 51411L, 51412L, 51413L, 51420L, 51421L, 51422L,
51423L, 51424L, 51425L))

If you want to test for significance of the effect of your treatment and you know how to fit model(s) on your data, you can simply fit a model which includes your treatment effect and a model which doesn't. Then compare the models by means of a likelihood ratio test.
In R it is pretty straightforward (I assume for simplicity a linear model, which anyway may not be the best choice, based on your data):
# Models fit
model_effect <- lm(y~Time + Treatment, data)
model_null <- lm(y~Time, data)
# Models comparison
anova(model_effect, model_null)

Related

Overlay of forest plot from ZINB model

I want an overlay of a forest plot from the ZINB models of full and the subset of data using the sjPlot package. As you may know, the ZINB model produces two models: one for the count model and one for the zero-inflated model. plot_model works fine when employing the ZINB model from either full or a subset of data meaning producing a plot for both models (count and zero models), but when I overlay using plot_models then only one plot is produced for the count model. I am looking for the count and zero-inflated model plots from the full and sub-model for both the full and the subset of data. any help would be much appreciated
library(sjPlot)
library(sjlabelled)
library(sjmisc)
library(ggplot2)
library(MASS)
library(pscl)
library(boot)
zinb_all_uni <- zeroinfl(ivdays~age,
link="logit",
dist = "negbin",
data=caterpillor)
summary(zinb_all_uni)
plot_model(zinb_all_uni, type="est")
zinb_full_adj <- zeroinfl(ivdays~age+sex+edu,
link="logit",
dist = "negbin",
data=caterpillor)
summary(zinb_full_adj)
plot_model(zinb_full_adj, type="est", terms = c("count_ageb", "count_agec", "zero_ageb", "zero_agec"))
############ second model#######
Zinb_uni_sub <- zeroinfl(ivdays~age,
link="logit",
dist = "negbin",
data=subset(caterpillor, country=="eng"))
summary(zinb_uni_sub)
plot_model(zinb_uni_sub, type="est")
zinb_adj_sub <- zeroinfl(ivdays~age+sex+edu,
link="logit",
dist = "negbin",
data=subset(caterpillor, country=="eng"))
summary(zinb_adj_sub)
plot_model(zinb_adj_sub, type="est", terms = c("count_ageb", "count_agec", "zero_ageb", "zero_agec"))
### overlying plots from both models
plot_models(zinb_all_uni, Zinb_uni_sub)
plot_models(zinb_full_adj, zinb_adj_sub)
DATA:
caterpillor=structure(list(id = 1:100,
age = structure(c(1L, 1L, 2L, 1L,
2L, 2L, 2L, 3L, 3L, 3L, 1L, 1L, 2L, 1L, 2L, 2L, 2L, 3L, 3L, 3L,
1L, 1L, 2L, 1L, 2L, 2L, 2L, 3L, 3L, 3L, 1L, 1L, 2L, 1L, 2L, 2L,
2L, 3L, 3L, 3L, 1L, 1L, 2L, 1L, 2L, 2L, 2L, 3L, 3L, 3L, 1L, 1L,
2L, 1L, 2L, 2L, 2L, 3L, 3L, 3L, 1L, 1L, 2L, 1L, 2L, 2L, 2L, 3L,
3L, 3L, 1L, 1L, 2L, 1L, 2L, 2L, 2L, 3L, 3L, 3L, 1L, 1L, 2L, 1L,
2L, 2L, 2L, 3L, 3L, 3L, 1L, 1L, 2L, 1L, 2L, 2L, 2L, 3L, 3L, 3L),
.Label = c("a", "b", "c"), class = "factor"),
sex = structure(c(2L,
1L, 2L, 2L, 2L, 1L, 1L, 1L, 1L, 2L, 1L, 2L, 2L, 2L, 1L, 1L, 1L,
1L, 2L, 1L, 2L, 2L, 2L, 1L, 1L, 1L, 1L, 2L, 1L, 2L, 2L, 2L, 1L,
1L, 1L, 1L, 2L, 1L, 2L, 2L, 2L, 1L, 1L, 1L, 1L, 2L, 1L, 2L, 2L,
2L, 1L, 1L, 1L, 1L, 2L, 1L, 2L, 2L, 2L, 1L, 1L, 1L, 1L, 2L, 1L,
2L, 2L, 2L, 1L, 1L, 1L, 1L, 2L, 2L, 1L, 1L, 1L, 1L, 2L, 1L, 2L,
2L, 2L, 1L, 1L, 1L, 1L, 2L, 2L, 1L, 1L, 1L, 1L, 2L, 1L, 2L, 2L,
2L, 1L, 1L),
.Label = c("F", "M"), class = "factor"),
country = structure(c(1L,
1L, 1L, 1L, 3L, 3L, 3L, 2L, 2L, 2L, 1L, 1L, 1L, 1L, 3L, 3L, 3L,
2L, 2L, 2L, 1L, 1L, 1L, 1L, 3L, 3L, 3L, 2L, 2L, 2L, 1L, 1L, 1L,
1L, 3L, 3L, 3L, 2L, 2L, 2L, 1L, 1L, 1L, 1L, 3L, 3L, 3L, 2L, 2L,
2L, 1L, 1L, 1L, 1L, 3L, 3L, 3L, 2L, 2L, 2L, 1L, 1L, 1L, 1L, 3L,
3L, 3L, 2L, 2L, 2L, 1L, 1L, 1L, 1L, 3L, 3L, 3L, 2L, 2L, 2L, 1L,
1L, 1L, 1L, 3L, 3L, 3L, 2L, 2L, 2L, 1L, 1L, 1L, 1L, 3L, 3L, 3L,
2L, 2L, 2L),
.Label = c("eng", "scot", "wale"), class = "factor"),
edu = structure(c(1L, 1L, 1L, 2L, 2L, 2L, 3L, 3L, 3L, 3L,
1L, 1L, 1L, 2L, 2L, 2L, 3L, 3L, 3L, 3L, 1L, 1L, 1L, 2L, 2L,
2L, 3L, 3L, 3L, 3L, 1L, 1L, 1L, 2L, 2L, 2L, 3L, 3L, 3L, 3L,
1L, 1L, 1L, 2L, 2L, 2L, 3L, 3L, 3L, 3L, 1L, 1L, 1L, 2L, 2L,
2L, 3L, 3L, 3L, 3L, 1L, 1L, 1L, 2L, 2L, 2L, 3L, 3L, 3L, 3L,
1L, 1L, 1L, 2L, 2L, 2L, 3L, 3L, 3L, 3L, 1L, 1L, 1L, 2L, 2L,
2L, 3L, 3L, 3L, 3L, 1L, 1L, 1L, 2L, 2L, 2L, 3L, 3L, 3L, 3L),
.Label = c("x", "y", "z"), class = "factor"),
lungfunction = c(45L,
23L, 25L, 45L, 70L, 69L, 90L, 50L, 62L, 45L, 23L, 25L, 45L,
70L, 69L, 90L, 50L, 62L, 45L, 23L, 25L, 45L, 70L, 69L, 90L,
50L, 62L, 45L, 23L, 25L, 45L, 70L, 69L, 90L, 50L, 62L, 45L,
23L, 25L, 45L, 70L, 69L, 90L, 50L, 62L, 45L, 23L, 25L, 45L,
70L, 69L, 90L, 50L, 62L, 45L, 23L, 25L, 45L, 70L, 69L, 90L,
50L, 62L, 45L, 23L, 25L, 45L, 70L, 69L, 90L, 50L, 62L, 45L,
23L, 25L, 45L, 70L, 69L, 90L, 50L, 62L, 25L, 45L, 70L, 69L,
90L, 50L, 62L, 25L, 45L, 70L, 69L, 90L, 50L, 62L, 25L, 45L,
70L, 69L, 90L),
ivdays = c(15L, 26L, 36L, 34L, 2L, 4L, 5L,
8L, 9L, 15L, 26L, 36L, 34L, 2L, 4L, 5L, 8L, 9L, 15L, 26L,
0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L,
0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L,
0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L,
0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L,
0L, 0L, 0L, 0L, 0L, 5L, 8L, 9L, 36L, 34L, 2L, 4L, 5L, 8L,
9L, 36L, 34L, 2L, 4L, 5L),
no2_quintile = structure(c(1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 3L, 3L, 3L, 3L, 3L, 3L, 3L,
3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L,
3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 4L, 4L, 4L, 4L, 4L,
4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 5L, 5L, 5L,
5L, 5L, 5L, 5L, 5L, 5L, 5L, 5L, 5L),
.Label = c("q1", "q2",
"q3", "q4", "q5"), class = "factor")),
class = "data.frame", row.names = c(NA,
-100L))
but when i overlay plots i get only one plot
Code below, basic points:
when I run into trouble with automated machinery like plot_model I usually prefer to use machinery like broom::tidy() (for coefficients) or the ggeffects or emmeans packages (for predictions) and build my own ggplot — for me, it's easier than trying to figure out what the more automated tool is doing
broom doesn't have a tidy() method for zeroinfl models, but a little googling finds one in the poissonreg package ...
... however, that tidy() method doesn't have machinery for constructing confidence intervals or back-transforming coefficients to a count-ratio or odds-ratio scale, so I had to implement my own below ...
library(broom)
library(poissonreg)
library(tidyverse) ## purrr::map_dfr, ggplot ...
theme_set(theme_bw())
library(colorspace)
mod_list <- list(all_uni = zinb_all_uni, uni_sub = Zinb_uni_sub,
full_adj = zinb_full_adj, adj_sub = zinb_adj_sub)
tidy(zinb_all_uni, type = "all")
coefs <- (mod_list
|> map_dfr(tidy, type = "all",
.id = "model")
## construct CIs
|> mutate(conf.low = qnorm(0.025, estimate, std.error),
conf.high = qnorm(0.975, estimate, std.error))
|> filter(term != "(Intercept)") ## usually don't want this
## cosmetic (strip results down to the components we actually need)
|> select(model, term, type, estimate, conf.low, conf.high)
## back-transform
|> mutate(across(c(estimate, conf.low, conf.high), exp))
)
ggplot(coefs, aes(x = estimate, y = term, colour = model)) +
geom_pointrange(aes(xmin = conf.low, xmax = conf.high),
position = position_dodge(width = 0.5)) +
## separate count-ratio and odds-ratio (conditional/zero) plots
facet_wrap(~type, scale = "free") +
scale_color_discrete_qualitative() ## cosmetic
If you only want to see the age-related coefficients you can add
|> filter(stringr::str_detect(term, "^age"))
to the end of the pipeline that defines coefs.

ggplot2 select categories for bar chart and create labels

I am trying make bar chart with ggplot2 with the dataset below. When I use the code
ggplot(p.data, aes(x = `Period Number`, y = `Total Jumps`)) +
stat_summary(data = subset(p.data, Status = "Starter"), fun ="mean", geom = "bar")
I get this graph:
The most concerning aspect is the for period 2, 3, 4, and 5 the bars should be taller (period 2 should be around 9.9). Additionally, I would like to remove period 0 and period 1 and add bar labels with the raw data and without creating an additional data frame.
p.data <- structure(list(`Period Number` = c(0L, 0L, 0L, 0L, 0L, 0L, 0L,
0L, 0L, 0L, 0L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 3L, 3L, 3L, 3L, 3L, 3L,
3L, 3L, 3L, 3L, 3L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L,
5L, 5L, 5L, 5L, 5L, 5L, 5L, 5L, 5L, 5L, 5L, 0L, 0L, 0L, 0L, 0L,
0L, 0L, 0L, 0L, 0L, 0L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 3L, 3L, 3L, 3L,
3L, 3L, 3L, 3L, 3L, 3L, 3L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L,
4L, 4L, 5L, 5L, 5L, 5L, 5L, 5L, 5L, 5L, 5L, 5L, 5L, 0L, 0L, 0L,
0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 3L, 3L,
3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 4L, 4L, 4L, 4L, 4L, 4L, 4L,
4L, 4L, 4L, 4L, 5L, 5L, 5L, 5L, 5L, 5L, 5L, 5L, 5L, 5L, 5L),
`Total Jumps` = c(112L, 97L, 28L, 132L, 162L, 19L, 92L, 112L,
97L, 141L, 68L, 86L, 76L, 26L, 105L, 125L, 19L, 92L, 112L,
64L, 101L, 68L, 4L, 8L, 0L, 8L, 12L, 0L, 0L, 0L, 13L, 8L,
0L, 8L, 2L, 2L, 5L, 12L, 0L, 0L, 0L, 5L, 11L, 0L, 0L, 6L,
0L, 9L, 8L, 0L, 0L, 0L, 7L, 10L, 0L, 14L, 5L, 0L, 5L, 5L,
0L, 0L, 0L, 8L, 11L, 0L, 108L, 131L, 47L, 136L, 159L, 35L,
114L, 116L, 111L, 190L, 64L, 75L, 95L, 47L, 116L, 123L, 27L,
103L, 108L, 70L, 152L, 64L, 4L, 7L, 0L, 14L, 10L, 0L, 0L,
0L, 15L, 10L, 0L, 4L, 0L, 0L, 3L, 7L, 7L, 8L, 8L, 5L, 10L,
0L, 7L, 14L, 0L, 3L, 10L, 1L, 0L, 0L, 11L, 7L, 0L, 18L, 15L,
0L, 0L, 9L, 0L, 3L, 0L, 10L, 11L, 0L, 118L, 96L, 48L, 143L,
170L, 37L, 118L, 117L, 116L, 165L, 56L, 80L, 68L, 48L, 114L,
130L, 36L, 114L, 107L, 80L, 123L, 56L, 2L, 10L, 0L, 8L, 11L,
0L, 0L, 0L, 5L, 9L, 0L, 4L, 12L, 0L, 6L, 5L, 0L, 4L, 8L,
12L, 8L, 0L, 7L, 4L, 0L, 10L, 10L, 0L, 0L, 0L, 12L, 13L,
0L, 25L, 2L, 0L, 5L, 14L, 1L, 0L, 2L, 7L, 12L, 0L), Status = structure(c(1L,
2L, 1L, 2L, 2L, 1L, 1L, 1L, 2L, 2L, 1L, 1L, 2L, 1L, 2L, 2L,
1L, 1L, 1L, 2L, 2L, 1L, 1L, 2L, 1L, 2L, 2L, 1L, 1L, 1L, 2L,
2L, 1L, 1L, 2L, 1L, 2L, 2L, 1L, 1L, 1L, 2L, 2L, 1L, 1L, 2L,
1L, 2L, 2L, 1L, 1L, 1L, 2L, 2L, 1L, 1L, 2L, 1L, 2L, 2L, 1L,
1L, 1L, 2L, 2L, 1L, 1L, 2L, 1L, 2L, 2L, 1L, 1L, 1L, 2L, 2L,
1L, 1L, 2L, 1L, 2L, 2L, 1L, 1L, 1L, 2L, 2L, 1L, 1L, 2L, 1L,
2L, 2L, 1L, 1L, 1L, 2L, 2L, 1L, 1L, 2L, 1L, 2L, 2L, 1L, 1L,
1L, 2L, 2L, 1L, 1L, 2L, 1L, 2L, 2L, 1L, 1L, 1L, 2L, 2L, 1L,
1L, 2L, 1L, 2L, 2L, 1L, 1L, 1L, 2L, 2L, 1L, 1L, 2L, 1L, 2L,
2L, 1L, 1L, 1L, 2L, 2L, 1L, 1L, 2L, 1L, 2L, 2L, 1L, 1L, 1L,
2L, 2L, 1L, 1L, 2L, 1L, 2L, 2L, 1L, 1L, 1L, 2L, 2L, 1L, 1L,
2L, 1L, 2L, 2L, 1L, 1L, 1L, 2L, 2L, 1L, 1L, 2L, 1L, 2L, 2L,
1L, 1L, 1L, 2L, 2L, 1L, 1L, 2L, 1L, 2L, 2L, 1L, 1L, 1L, 2L,
2L, 1L), .Label = c("Bench", "Starter"), class = "factor")), row.names = c(NA,
198L), class = "data.frame")
Thank you for your help!
It's best to pass that data you actually want to plot to the plotting function, rather than trying to coerce it within the plotting function. In this case you were trying to subset a different data frame from the one you passed to ggplot inside stat_summary. The call to ggplot had already set up the aesthetics you wanted mapped, then in your only geom layer, you were telling ggplot you wanted a completely different set of aesthetics.
You don't need to create another data frame to reshape your data. Here's how you could do it using dplyr:
library(dplyr)
library(ggplot2)
p.data %>%
filter(Status == "Starter") %>%
group_by(`Period Number`) %>%
summarise(`Total Jumps` = mean(`Total Jumps`)) %>%
filter(`Period Number` > 1) %>%
ggplot(aes(x = `Period Number`, y = `Total Jumps`)) +
geom_col(fill = "dodgerblue", colour = "black") +
geom_text(aes(y = `Total Jumps` + 1, label = signif(`Total Jumps`, 2)))

Weird results in ANOVA: the three-way interaction has a pvalue of exactly 1

I am running a three way interaction, predicting 'judgment' from 'factor_1' (between subject, two levels), 'factor_2' (between subject, two levels) and factor_3 (within subject, two levels). I have 120 participants (30 in each level of factor_1 and factor_2)
model <- aov(
judgment ~ factor_1*factor_2*factor_3 +
Error(participant/factor_3),
data = MyData)
summary(model)
I got a strange 3 way interaction result: the Sum Sq, Mean Sq, and F value have a value of (exactly) 0, and the p value is 1.
How is it possible?
Here are my data:
MyData = structure(list(participant = structure(c(1L, 1L, 2L, 2L, 3L,
3L, 4L, 4L, 5L, 5L, 6L, 6L, 7L, 7L, 8L, 8L, 9L, 9L, 10L, 10L,
11L, 11L, 12L, 12L, 13L, 13L, 14L, 14L, 15L, 15L, 16L, 16L, 17L,
17L, 18L, 18L, 19L, 19L, 20L, 20L, 21L, 21L, 22L, 22L, 23L, 23L,
24L, 24L, 25L, 25L, 26L, 26L, 27L, 27L, 28L, 28L, 29L, 29L, 30L,
30L, 31L, 31L, 32L, 32L, 33L, 33L, 34L, 34L, 35L, 35L, 36L, 36L,
37L, 37L, 38L, 38L, 39L, 39L, 40L, 40L, 41L, 41L, 42L, 42L, 43L,
43L, 44L, 44L, 45L, 45L, 46L, 46L, 47L, 47L, 48L, 48L, 49L, 49L,
50L, 50L, 51L, 51L, 52L, 52L, 53L, 53L, 54L, 54L, 55L, 55L, 56L,
56L, 57L, 57L, 58L, 58L, 59L, 59L, 60L, 60L, 61L, 61L, 62L, 62L,
63L, 63L, 64L, 64L, 65L, 65L, 66L, 66L, 67L, 67L, 68L, 68L, 69L,
69L, 70L, 70L, 71L, 71L, 72L, 72L, 73L, 73L, 74L, 74L, 75L, 75L,
76L, 76L, 77L, 77L, 78L, 78L, 79L, 79L, 80L, 80L, 81L, 81L, 82L,
82L, 83L, 83L, 84L, 84L, 85L, 85L, 86L, 86L, 87L, 87L, 88L, 88L,
89L, 89L, 90L, 90L, 91L, 91L, 92L, 92L, 93L, 93L, 94L, 94L, 95L,
95L, 96L, 96L, 97L, 97L, 98L, 98L, 99L, 99L, 100L, 100L, 101L,
101L, 102L, 102L, 103L, 103L, 104L, 104L, 105L, 105L, 106L, 106L,
107L, 107L, 108L, 108L, 109L, 109L, 110L, 110L, 111L, 111L, 112L,
112L, 113L, 113L, 114L, 114L, 115L, 115L, 116L, 116L, 117L, 117L,
118L, 118L, 119L, 119L, 120L, 120L), .Label = c("101", "102",
"103", "104", "105", "106", "107", "108", "109", "110", "111",
"112", "113", "114", "115", "116", "117", "118", "119", "120",
"121", "122", "123", "124", "125", "126", "127", "128", "129",
"130", "131", "132", "133", "134", "135", "136", "137", "138",
"139", "140", "141", "142", "143", "144", "145", "146", "147",
"148", "149", "150", "151", "152", "153", "154", "155", "156",
"157", "158", "159", "160", "161", "162", "163", "164", "165",
"166", "167", "168", "169", "170", "171", "172", "173", "174",
"175", "176", "177", "179", "180", "181", "182", "183", "184",
"185", "186", "187", "188", "189", "190", "191", "192", "193",
"194", "195", "196", "197", "198", "199", "200", "201", "202",
"203", "204", "205", "206", "207", "208", "209", "210", "211",
"212", "213", "214", "215", "216", "217", "218", "219", "220",
"221"), class = "factor"), factor_1 = structure(c(2L, 2L, 1L,
1L, 2L, 2L, 1L, 1L, 2L, 2L, 1L, 1L, 2L, 2L, 1L, 1L, 2L, 2L, 1L,
1L, 2L, 2L, 1L, 1L, 2L, 2L, 1L, 1L, 2L, 2L, 1L, 1L, 2L, 2L, 1L,
1L, 2L, 2L, 1L, 1L, 2L, 2L, 1L, 1L, 2L, 2L, 1L, 1L, 2L, 2L, 1L,
1L, 2L, 2L, 1L, 1L, 2L, 2L, 1L, 1L, 2L, 2L, 1L, 1L, 2L, 2L, 1L,
1L, 2L, 2L, 1L, 1L, 2L, 2L, 1L, 1L, 2L, 2L, 1L, 1L, 2L, 2L, 1L,
1L, 2L, 2L, 1L, 1L, 2L, 2L, 1L, 1L, 2L, 2L, 1L, 1L, 2L, 2L, 1L,
1L, 2L, 2L, 1L, 1L, 2L, 2L, 1L, 1L, 2L, 2L, 1L, 1L, 2L, 2L, 1L,
1L, 2L, 2L, 1L, 1L, 2L, 2L, 1L, 1L, 2L, 2L, 1L, 1L, 2L, 2L, 1L,
1L, 2L, 2L, 1L, 1L, 2L, 2L, 1L, 1L, 2L, 2L, 1L, 1L, 2L, 2L, 1L,
1L, 2L, 2L, 1L, 1L, 2L, 2L, 2L, 2L, 1L, 1L, 2L, 2L, 1L, 1L, 2L,
2L, 1L, 1L, 2L, 2L, 1L, 1L, 2L, 2L, 1L, 1L, 2L, 2L, 1L, 1L, 2L,
2L, 1L, 1L, 2L, 2L, 1L, 1L, 2L, 2L, 1L, 1L, 2L, 2L, 1L, 1L, 2L,
2L, 1L, 1L, 2L, 2L, 1L, 1L, 2L, 2L, 1L, 1L, 2L, 2L, 2L, 2L, 1L,
1L, 2L, 2L, 1L, 1L, 1L, 1L, 2L, 2L, 1L, 1L, 2L, 2L, 1L, 1L, 2L,
2L, 1L, 1L, 2L, 2L, 1L, 1L, 2L, 2L, 1L, 1L, 1L, 1L), .Label = c("L",
"P"), class = "factor"), factor_2 = structure(c(1L, 1L, 1L, 1L,
2L, 2L, 2L, 2L, 1L, 1L, 1L, 1L, 2L, 2L, 2L, 2L, 1L, 1L, 1L, 1L,
2L, 2L, 2L, 2L, 1L, 1L, 1L, 1L, 2L, 2L, 2L, 2L, 1L, 1L, 1L, 1L,
2L, 2L, 2L, 2L, 1L, 1L, 1L, 1L, 2L, 2L, 2L, 2L, 1L, 1L, 1L, 1L,
2L, 2L, 2L, 2L, 1L, 1L, 1L, 1L, 2L, 2L, 2L, 2L, 1L, 1L, 1L, 1L,
2L, 2L, 2L, 2L, 1L, 1L, 1L, 1L, 2L, 2L, 2L, 2L, 1L, 1L, 1L, 1L,
2L, 2L, 2L, 2L, 1L, 1L, 1L, 1L, 2L, 2L, 2L, 2L, 1L, 1L, 1L, 1L,
2L, 2L, 2L, 2L, 1L, 1L, 1L, 1L, 2L, 2L, 2L, 2L, 1L, 1L, 1L, 1L,
2L, 2L, 2L, 2L, 1L, 1L, 1L, 1L, 2L, 2L, 2L, 2L, 1L, 1L, 1L, 1L,
2L, 2L, 2L, 2L, 1L, 1L, 1L, 1L, 2L, 2L, 2L, 2L, 1L, 1L, 1L, 1L,
2L, 2L, 2L, 2L, 1L, 1L, 2L, 2L, 2L, 2L, 1L, 1L, 1L, 1L, 2L, 2L,
2L, 2L, 1L, 1L, 1L, 1L, 2L, 2L, 2L, 2L, 1L, 1L, 1L, 1L, 2L, 2L,
2L, 2L, 1L, 1L, 1L, 1L, 2L, 2L, 2L, 2L, 1L, 1L, 1L, 1L, 2L, 2L,
2L, 2L, 1L, 1L, 1L, 1L, 2L, 2L, 2L, 2L, 1L, 1L, 1L, 1L, 1L, 1L,
2L, 2L, 2L, 2L, 1L, 1L, 2L, 2L, 2L, 2L, 1L, 1L, 1L, 1L, 2L, 2L,
2L, 2L, 1L, 1L, 1L, 1L, 2L, 2L, 2L, 2L, 1L, 1L), .Label = c("1",
"2"), class = "factor"), factor_3 = structure(c(1L, 2L, 1L, 2L,
1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L,
1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L,
1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L,
1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L,
1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L,
1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L,
1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L,
1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L,
1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L,
1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L,
1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L,
1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L,
1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L,
1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L,
1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L), .Label = c("HighLoss",
"LowLoss"), class = "factor"), judgment = c(10L, 5L, 10L, 10L,
5L, 5L, 5L, 1L, 7L, 5L, 8L, 7L, 5L, 5L, 10L, 10L, 3L, 6L, 4L,
6L, 10L, 10L, 10L, 6L, 10L, 10L, 1L, 1L, 8L, 8L, 6L, 6L, 8L,
10L, 8L, 1L, 5L, 5L, 4L, 4L, 3L, 3L, 5L, 2L, 10L, 10L, 8L, 8L,
7L, 5L, 7L, 10L, 10L, 10L, 4L, 4L, 5L, 5L, 5L, 5L, 10L, 10L,
6L, 6L, 3L, 2L, 6L, 6L, 7L, 5L, 10L, 9L, 8L, 8L, 6L, 5L, 6L,
6L, 8L, 10L, 6L, 6L, 7L, 7L, 5L, 5L, 10L, 6L, 10L, 10L, 10L,
6L, 10L, 10L, 10L, 7L, 8L, 8L, 10L, 10L, 9L, 10L, 10L, 10L, 6L,
8L, 10L, 10L, 6L, 6L, 6L, 3L, 6L, 8L, 5L, 7L, 10L, 10L, 7L, 5L,
3L, 3L, 6L, 3L, 10L, 10L, 10L, 10L, 10L, 7L, 8L, 10L, 8L, 5L,
9L, 6L, 6L, 6L, 8L, 8L, 10L, 10L, 10L, 10L, 5L, 5L, 6L, 3L, 9L,
9L, 2L, 1L, 6L, 6L, 10L, 10L, 8L, 8L, 4L, 8L, 5L, 9L, 10L, 10L,
10L, 10L, 8L, 8L, 5L, 5L, 8L, 8L, 4L, 3L, 6L, 6L, 1L, 1L, 10L,
10L, 10L, 10L, 7L, 9L, 8L, 8L, 7L, 7L, 5L, 5L, 6L, 6L, 5L, 5L,
8L, 8L, 1L, 1L, 2L, 3L, 8L, 6L, 8L, 8L, 8L, 6L, 7L, 9L, 10L,
10L, 4L, 4L, 10L, 10L, 10L, 10L, 10L, 10L, 5L, 5L, 1L, 1L, 10L,
10L, 4L, 1L, 10L, 10L, 6L, 6L, 7L, 7L, 7L, 9L, 5L, 5L, 10L, 10L,
7L, 2L)), class = c("tbl_df", "tbl", "data.frame"), row.names = c(NA,
-240L), .Names = c("participant", "factor_1", "factor_2", "factor_3",
"judgment"))

How deal with test dependancy when we have many variables

I want to test dependency for many categorical variables using the Chi-Squared test implemented in R. In fact, I have 14 variables and it's very long to do 14*14 tests for all variables. As you know the Chi-Squared test is just concerned to do the test for tow variables in the normal case like this when I need to test the dependency between TYPE_PEAU and SENSIBILITE.
> library(MASS)
> tbl = table(DATA_BASE$TYPE_PEAU, DATA_BASE$SENSIBILITE)
> chisq.test(tbl)
Pearson's Chi-squared test
data: tbl
X-squared = 5727.5, df = 12, p-value < 2.2e-16
Assume that I have 14 variables, how do I deal with them?
This is the concerned dataset which contains categorical variables, hope that's helpful to resolve the problem
> dput(DATA_BASE[1:50,15:18])
structure(list(TYPE_PEAU = structure(c(3L, 4L, 5L, 1L, 3L, 1L,
1L, 1L, 3L, 1L, 1L, 1L, 4L, 3L, 1L, 3L, 1L, 3L, 3L, 3L, 1L, 1L,
1L, 3L, 1L, 1L, 3L, 1L, 3L, 5L, 1L, 5L, 2L, 1L, 5L, 5L, 3L, 1L,
3L, 1L, 1L, 1L, 1L, 3L, 1L, 1L, 1L, 1L, 3L, 1L), .Label = c("",
"Grasse", "Mixte", "Normale", "Sèche"), class = "factor"), SENSIBILITE = structure(c(4L,
4L, 4L, 1L, 3L, 1L, 1L, 1L, 2L, 1L, 1L, 1L, 4L, 4L, 1L, 3L, 1L,
3L, 3L, 4L, 1L, 1L, 1L, 2L, 1L, 1L, 4L, 1L, 2L, 3L, 1L, 4L, 4L,
1L, 3L, 4L, 4L, 1L, 4L, 1L, 1L, 1L, 1L, 4L, 1L, 1L, 1L, 1L, 4L,
1L), .Label = c("", "Aucune", "Fréquente", "Occasionnelle"), class = "factor"),
IMPERFECTIONS = structure(c(3L, 4L, 3L, 1L, 2L, 1L, 1L, 1L,
4L, 1L, 1L, 1L, 3L, 3L, 1L, 2L, 1L, 3L, 2L, 3L, 1L, 1L, 1L,
4L, 1L, 1L, 3L, 1L, 3L, 2L, 1L, 4L, 3L, 1L, 3L, 3L, 3L, 1L,
2L, 1L, 1L, 1L, 1L, 2L, 1L, 1L, 1L, 1L, 3L, 1L), .Label = c("",
"Fréquente", "Occasionnelle", "Rares"), class = "factor"),
BRILLANCE = structure(c(4L, 2L, 2L, 1L, 4L, 1L, 1L, 1L, 4L,
1L, 1L, 1L, 4L, 4L, 1L, 4L, 1L, 4L, 4L, 4L, 1L, 1L, 1L, 4L,
1L, 1L, 4L, 1L, 4L, 4L, 1L, 2L, 3L, 1L, 4L, 4L, 4L, 1L, 4L,
1L, 1L, 1L, 1L, 4L, 1L, 1L, 1L, 1L, 4L, 1L), .Label = c("",
"Aucune", "Partout", "Zone T"), class = "factor")), .Names = c("TYPE_PEAU",
"SENSIBILITE", "IMPERFECTIONS", "BRILLANCE"), row.names = c(15L,
22L, 33L, 40L, 48L, 54L, 59L, 65L, 74L, 78L, 87L, 89L, 104L,
108L, 115L, 121L, 141L, 159L, 161L, 163L, 165L, 175L, 179L, 186L,
196L, 202L, 211L, 222L, 231L, 265L, 272L, 290L, 300L, 318L, 325L,
327L, 349L, 372L, 374L, 380L, 392L, 393L, 394L, 398L, 427L, 440L,
449L, 450L, 456L, 470L), class = "data.frame")
Thank you in advance

Linear function for condition1 and cubic function for condition2 in one plot

I have data of participants that had numerous trials, where certain trials had one condition, and other trials were another.
My analyses show that for condition 1, there is a linear null effect (flat line), while for condition 2 there is a cubic effect. I want to plot them together.
The code below creates a plot that gives the cubic function for both groups:
ggplot(dat, aes(x=trial, y=y, group=condition, colour=condition)) +
geom_point() + geom_jitter(height=0.2) +
geom_smooth(alpha=0.1, method="lm", formula = y ~ poly(x,3, raw=TRUE)) +
labs(x="Trial", y="y") +
scale_x_discrete(breaks=c(1,9,18,27,36,45,54,63))
What I want is to not have the cubic function for condition 2, but have a linear function. I tried to force this through aes() calls within geom_smooth(), but this seems to give me a much flatter cubic function for condition 1:
ggplot(dat, aes(x=trial, y=y)) +
geom_point(aes(group=condition, colour=condition)) + geom_jitter(height=0.2, aes(group=condition, colour=condition)) +
geom_smooth(alpha=0.1, method="lm", formula = y ~ poly(x,3, raw=TRUE), aes(group=(condition="1"), colour=(condition="1"))) +
geom_smooth(alpha=0.1, method="lm", aes(group=(condition="2"), colour=(condition="2"))) +
labs(x="Trial", y="y") +
scale_x_discrete(breaks=c(1,9,18,27,36,45,54,63))
Obviously this is not the way to go. How would I accomplish this? Script for reproducible example (first 250 lines of the total dataset, so your figures will be different) below:
structure(list(id = c(3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L,
3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L,
3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L,
3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L,
3L, 3L, 3L, 3L, 3L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L,
4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L,
4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L,
4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L,
4L, 4L, 4L, 4L, 5L, 5L, 5L, 5L, 5L, 5L, 5L, 5L, 5L, 5L, 5L, 5L,
5L, 5L, 5L, 5L, 5L, 5L, 5L, 5L, 5L, 5L, 5L, 5L, 5L, 5L, 5L, 5L,
5L, 5L, 5L, 5L, 5L, 5L, 5L, 5L, 5L, 5L, 5L, 5L, 5L, 5L, 5L, 5L,
5L, 5L, 5L, 5L, 5L, 5L, 5L, 5L, 5L, 5L, 5L, 5L, 5L, 5L, 5L, 5L,
5L, 5L, 5L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L,
6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L,
6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L,
6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L
), trial = c(1L, 2L, 3L, 4L, 5L, 6L, 7L, 8L, 9L, 10L, 11L, 12L,
13L, 14L, 15L, 16L, 17L, 18L, 19L, 20L, 21L, 22L, 23L, 24L, 25L,
26L, 27L, 28L, 29L, 30L, 31L, 32L, 33L, 34L, 35L, 36L, 37L, 38L,
39L, 40L, 41L, 42L, 43L, 44L, 45L, 46L, 47L, 48L, 49L, 50L, 51L,
52L, 53L, 54L, 55L, 56L, 57L, 58L, 59L, 60L, 61L, 62L, 63L, 1L,
2L, 3L, 4L, 5L, 6L, 7L, 8L, 9L, 10L, 11L, 12L, 13L, 14L, 15L,
16L, 17L, 18L, 19L, 20L, 21L, 22L, 23L, 24L, 25L, 26L, 27L, 28L,
29L, 30L, 31L, 32L, 33L, 34L, 35L, 36L, 37L, 38L, 39L, 40L, 41L,
42L, 43L, 44L, 45L, 46L, 47L, 48L, 49L, 50L, 51L, 52L, 53L, 54L,
55L, 56L, 57L, 58L, 59L, 60L, 61L, 62L, 63L, 1L, 2L, 3L, 4L,
5L, 6L, 7L, 8L, 9L, 10L, 11L, 12L, 13L, 14L, 15L, 16L, 17L, 18L,
19L, 20L, 21L, 22L, 23L, 24L, 25L, 26L, 27L, 28L, 29L, 30L, 31L,
32L, 33L, 34L, 35L, 36L, 37L, 38L, 39L, 40L, 41L, 42L, 43L, 44L,
45L, 46L, 47L, 48L, 49L, 50L, 51L, 52L, 53L, 54L, 55L, 56L, 57L,
58L, 59L, 60L, 61L, 62L, 63L, 1L, 2L, 3L, 4L, 5L, 6L, 7L, 8L,
9L, 10L, 11L, 12L, 13L, 14L, 15L, 16L, 17L, 18L, 19L, 20L, 21L,
22L, 23L, 24L, 25L, 26L, 27L, 28L, 29L, 30L, 31L, 32L, 33L, 34L,
35L, 36L, 37L, 38L, 39L, 40L, 41L, 42L, 43L, 44L, 45L, 46L, 47L,
48L, 49L, 50L, 51L, 52L, 53L, 54L, 55L, 56L, 57L, 58L, 59L, 60L,
61L), condition = c(1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L),
y = c(NA, NA, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 0L, 0L, 1L, 1L, 1L, 1L, 0L, 1L, 1L, 1L, 1L, 1L, 0L,
1L, 1L, 1L, 0L, 1L, 1L, 1L, 1L, 0L, 0L, 1L, 0L, 1L, 1L, 0L,
0L, 0L, 1L, 0L, 1L, 1L, 1L, 0L, 1L, 1L, 0L, 0L, 0L, 0L, 1L,
1L, 0L, 1L, 1L, 1L, NA, 1L, 0L, 1L, 1L, 1L, 1L, 0L, 1L, 1L,
1L, 1L, 0L, 1L, 1L, NA, NA, NA, 0L, NA, 0L, NA, 1L, 1L, 0L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 0L, 1L, 0L, 0L, 1L,
0L, 1L, 1L, 1L, 1L, 1L, 1L, 0L, NA, 0L, 0L, 1L, 0L, 0L, 1L,
1L, 1L, 0L, 0L, 0L, 1L, 1L, 0L, 0L, 0L, 1L, 0L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 0L, 1L, 1L, 1L, 0L, 0L, 1L, NA, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 0L, 1L, 0L, 0L, 1L, 1L, 0L, 1L, 1L, 1L, NA,
0L, 1L, 0L, 1L, 1L, 1L, 1L, 1L, 1L, NA, 1L, NA, NA, 1L, 1L,
1L, 1L, NA, 1L, 1L, 1L, 1L, NA, 1L, 0L, 1L, 1L, 1L, 0L, 1L,
0L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 0L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 0L, 1L, 1L, 0L, 1L, 1L, 1L, 0L, 1L, 1L, 0L,
1L, 1L, 1L, 0L, 1L, 1L, 0L, 1L, 1L, 0L, 1L, 1L)), .Names = c("id",
"trial", "condition", "y"), row.names = c(NA, 250L), class = "data.frame")
Edit: The reason I'm not using geom_smooth() using gam or loess, is because there are multiple polynomials in condition 1, so it will show more than just the cubic function if I use that solution. I wish to show the cubic function, not the composite of multiple polynomials.
You could filter your data inside geom_smooth.
library(tidyverse)
ggplot(dat, aes(x=trial, y=y, colour=as.factor(condition))) +
geom_point() + geom_jitter(height=0.2) +
geom_smooth(data = filter(dat, condition == 2), alpha=0.1, method="lm", formula = y ~ poly(x,3, raw=TRUE)) +
geom_smooth(data = filter(dat, condition == 1), alpha=0.1, method="lm", formula = y ~ 1) +
labs(x="Trial", y="y") +
scale_x_continuous(breaks=c(1,9,18,27,36,45,54,63))
Which gives you this plot

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