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testing a shiny app
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library(shiny) | |
library(ggplot2) | |
library(ProbBayes) | |
require(metR) | |
# Define UI ---- | |
ui <- fluidPage( | |
# titlePanel("Visualizing Posterior of Two Proportions"), | |
h1(id="big-heading", "Visualizing Posterior of Two Proportions"), | |
tags$style(HTML("#big-heading{color: red;}")), | |
fluidRow( | |
column(4, wellPanel( | |
h4(id="model-heading", "Model:"), | |
tags$style(HTML("#model-heading{color: red;}")), | |
h4("------------------------"), | |
h5("s1 is Binom(s1 + f1, p1)"), | |
h5("s2 is Binom(s2 + f2, p2)"), | |
h5("theta1 = logit(p1) - logit(p2)"), | |
h5("theta2 = logit(p1) + logit(p2)"), | |
h5("(theta1, theta2) is Uniform"), | |
h4("------------------------"), | |
sliderInput("s1", "s1 = # Successes in 1st Sample:", | |
min = 1, max = 20, | |
value = 5, | |
step = 1), | |
sliderInput("f1", "f1 = # Failures in 1st Sample:", | |
min = 1, max = 20, | |
value = 10, | |
step = 1), | |
sliderInput("s2", "s2 = # Successes in 2nd Sample:", | |
min = 1, max = 20, | |
value = 3, | |
step = 1), | |
sliderInput("f2", "f2 = # Failures in 2nd Sample:", | |
min = 1, max = 20, | |
value = 8, | |
step = 1), | |
)), | |
column(8, | |
plotOutput("plot", height = "380px"), | |
h4(id="data-heading", "Data:"), | |
tags$style(HTML("#data-heading{color: red;}")), | |
# h4("Data:"), | |
verbatimTextOutput("stats"), | |
h4(id="stats-heading", "Simulation Posterior Summaries:"), | |
tags$style(HTML("#stats-heading{color: red;}")), | |
# h4("Simulation Posterior Summaries:"), | |
verbatimTextOutput("stats2") | |
) | |
) | |
) | |
# Define server logic ---- | |
server <- function(input, output) { | |
gcontour2 <- function(logf, limits, ...){ | |
LOGF <- function(theta, ...) { | |
if (is.matrix(theta) == TRUE) { | |
val <- matrix(0, c(dim(theta)[1], 1)) | |
for (j in 1:dim(theta)[1]){ | |
val[j] <- logf(theta[j, ], ...) | |
} | |
} | |
else val <- logf(theta, ...) | |
return(val) | |
} | |
ng <- 50 | |
df <- expand.grid( | |
x = seq(limits[1], limits[2], length = ng), | |
y = seq(limits[3], limits[4], length = ng) | |
) | |
df$Z <- unlist(LOGF(as.matrix(df), ...)) | |
df$Z <- df$Z - max(df$Z) | |
# BR <- seq(-6.9, -1.15, 1.15) | |
BR <- c(-6.9, -4.6, -2.3) | |
ggplot(df) + | |
geom_contour_fill(aes(x=x, | |
y=y, | |
z=Z), | |
breaks=BR, | |
size=1.5) + | |
scale_fill_distiller(palette="Spectral") + | |
theme(text=element_text(size=18)) | |
} | |
data <- reactive({ | |
logpost <- function(theta){ | |
d <- c(input$s1, input$f1, | |
input$s2, input$f2) | |
logctablepost(theta, d) | |
} | |
fit <- laplace(logpost, c(0, 0)) | |
mo <- fit$mode | |
sds <- sqrt(diag(fit$var)) | |
mdata <- matrix(c(input$s1, input$f1, | |
input$s2, input$f2), | |
2, 2, byrow = TRUE) | |
dimnames(mdata)[[2]] <- c("Successes", "Failures") | |
dimnames(mdata)[[1]] <- c("Sample 1", "Sample 2") | |
summ <- data.frame(Parameter = | |
c("theta1", "theta2"), | |
Mean = mo, | |
Standard_Deviation = sds) | |
limits <- c(mo[1] - 5 * sds[1], | |
mo[1] + 5 * sds[1], | |
mo[2] - 5 * sds[2], | |
mo[2] + 5 * sds[2]) | |
sim_post <- simcontour(logctablepost, limits, | |
c(input$s1, input$f1, input$s2, input$f2), | |
1000) | |
new_mo <- as.character(round(c(mean(sim_post$x), | |
mean(sim_post$y)), 3)) | |
new_sd <- as.character(round(c(sd(sim_post$x), | |
sd(sim_post$y)), 3)) | |
new_cor <- as.character(round(cor(sim_post$x, | |
sim_post$y), 3)) | |
prob <- as.character(round(mean(sim_post$x > | |
0), 3)) | |
newsumm <- data.frame(Parameter = | |
c("theta1", "theta2", | |
"(theta1, theta2)", | |
"P(theta1 > 0)"), | |
Mean = c(new_mo, "", prob), | |
Stan_Dev = c(new_sd, "", ""), | |
Correlation = c("", "", new_cor, "")) | |
sim_post <- data.frame(x = sim_post$x, | |
y = sim_post$y) | |
gplot <- gcontour2(logpost, limits) + | |
geom_point(data = sim_post, aes(x, y), | |
alpha = 0.5, color = "black") | |
list(data = mdata, | |
summary = newsumm, | |
plot = gplot) | |
}) | |
output$plot <- renderPlot({ | |
out <- data() | |
t0 <- paste("Data: (", input$s1, ", ", | |
input$f1, ", ", input$s2, ", ", | |
input$f2, "), ", sep="") | |
data()$plot + | |
increasefont() + | |
ggtitle("Posterior of (theta1, theta2)") + | |
theme(plot.title = element_text(colour = "blue", | |
size = 24, | |
hjust = 0.5, vjust = 0.8, angle = 0)) + | |
xlab("theta1 = Difference in Logits") + | |
ylab("theta2 = Sum of Logits") + | |
theme( | |
axis.title = element_text(color = "blue", | |
size = 18)) | |
}) | |
output$stats <- renderPrint({ | |
data()$data | |
}) | |
output$stats2 <- renderPrint({ | |
data()$summary | |
}) | |
} | |
# Run the app ---- | |
shinyApp(ui = ui, server = server) |
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