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app.R

+###########################################################################
+## typeIvsII Shiny/R app ui.R                         	                 ##
+##                                                                       ##
+## Author Eugen Pircalabelu https://perso.uclouvain.be/eugen.pircalabelu ##
+## For RShiny@UCLouvain		http://sites.uclouvain.be/RShiny     		 ##
+##                                                                       ##
+## Licences : CC-BY for http://sites.uclouvain.be/RShiny		  		 ##
+##            GPL for source code on									 ##
+## https://forge.uclouvain.be/rshiny_uclouvain/typeIvsII                 ##
+###########################################################################
+
+
+library(shiny)
+library(shinyjs)
+shinyUI(pageWithSidebar(
+  headerPanel("Erreurs de type I et II"),
+  
+  sidebarPanel(
+    tags$head(
+        tags$style(type="text/css", "label { display: inline; }"),
+        tags$style(type="text/css", '.checkbox input[type="checkbox"],.radio input[type="radio"] { float: none; }')
+      ),
+	  
+    HTML(" H<sub>1</sub> est vrai et H<sub>0</sub> est faux <br>"),  
+    HTML(" &mu;<sub>0</sub> :moyenne sous H<sub>0</sub> <br>" ),#Label put outside of sliderInput because HTML is not rendered inside sliderInput label    
+	sliderInput("mu0", " " , value=0, min = -2, max = 0,step=0.1),
+	
+
+	HTML(" &mu;<sub>1</sub> : moyenne sous H<sub>1</sub> <br>"),
+	sliderInput("mu1", " " , min = 0.5,max = 2,value = 0.5, step=0.1,animate = TRUE),
+  	
+	HTML(" &sigma; : &eacute;cart-type de la population d'origine  "),
+    sliderInput("sigma", " " , min = 1.5,max = 2.5,value = 1.5, step=0.1,animate = TRUE),
+   
+	HTML(" n : nombre d'individus par échantillon  "),
+    sliderInput("n"," ",min = 10,max = 100,value = 10, step=5,animate = TRUE),
+	
+	HTML(" &alpha;  : type I error "),
+	
+    sliderInput("alpha","",min = 0.01,max = 0.1,value = 0.01, step=0.01,animate = TRUE),
+
+  	p(HTML("<A HREF=\"javascript:history.go(0)\">Cliquez ici pour relancer l'expérience</A>")),
+
+	
+    HTML('<hr style="border:1px solid #ccc;"/>'),
+    HTML('<a rel="license" href="http://creativecommons.org/licenses/by/2.0/be/"><img alt="Licence Creative Commons" style="border-width:0" 
+	src="http://i.creativecommons.org/l/by/2.0/be/80x15.png" /></a> Ce(tte) oeuvre de <span xmlns:cc="http://creativecommons.org/ns#" 
+	property="cc:attributionName"> <font face="Courier"> RShiny@UCLouvain </font> </span> est mise à disposition selon les termes de la <a rel="license" 
+	href="http://creativecommons.org/licenses/by/2.0/be/">licence Creative Commons Attribution 2.0 Belgique</a>.'),
+    HTML('<p>Détails sur l\'utilisation de cette ressource sur <a href="http://sites.uclouvain.be/RShiny" 
+	target="_blank"><font face="Courier"> RShiny@UCLouvain </font></a><br/> 
+	Code source disponible sur <a href="https://forge.uclouvain.be/rshiny_uclouvain/typeIvsII " target="_blank">GitLab</a></p>')
+  ),
+  
+  mainPanel(
+    plotOutput("Plot")
+  )
+))
+
+
+# Define a server for the Shiny app
+function(input, output) {
+  
+  
+
+  # Fill in the spot we created for a plot
+  output$Plot <- renderPlot({
+
+	# mu=seq(0,1,length=100)
+	
+	# mypow1=ifelse(mu==input$mu0,input$myalpha1,
+	# 1-pnorm((sqrt(input$n)/input$sigma)*(input$mu0-mu)+qnorm(1-input$myalpha1)))
+    # plot(mu,mypow1,type="l",lwd=2,ylim=c(0,1),cex.lab=2.2,xlab=expression(mu-mu[0]),
+     # main="",ylab=expression(pi[n](mu)),cex=1.4, cex.axis=2,bty="n",
+	 # xlim=c(0,1),col="black")
+
+disable("mu")
+	 
+myalpha1=0.01
+mu0=1
+sigma=input$sigma
+n=input$n
+mu=seq(0,2,length=100)
+mypow1=ifelse(mu==mu0,myalpha1,1-pnorm((sqrt(n)/sigma)*(mu0-mu)+qnorm(1-myalpha1)))
+par(mar=c(4,5.5, 0.5, 0.5))	
+plot(mu-mu0,mypow1,type="l",lwd=2,ylim=c(0,1),cex.lab=2.2,xlab=expression(mu*-~mu[0]),
+     main="",ylab=expression(pi[n](mu)),cex=1.4, cex.axis=2,bty="n",
+	 xlim=c(-1,1),col="black",xaxt="n")
+axis(1, c(-1,0,1),labels=c(-1,0,1),cex.axis=2, tck=-.02)
+
+	 
+myalpha2=0.05
+mypow2=ifelse(mu==mu0,myalpha2,1-pnorm((sqrt(n)/sigma)*(mu0-mu)+qnorm(1-myalpha2))) 
+lines(mu-mu0,mypow2,cex.lab=2.2,xlab="",ylab="",col=c("red"),cex=1.4, 
+yaxt="n", xaxt="n",bty="n",type="l",lty=2,lwd=2)
+
+myalpha3=0.1
+mypow3=ifelse(mu==mu0,myalpha3,1-pnorm((sqrt(n)/sigma)*(mu0-mu)+qnorm(1-myalpha3))) 
+lines(mu-mu0,mypow3,cex.lab=2.2,xlab="",ylab="",col=c("blue"),cex=1.4, 
+yaxt="n", xaxt="n",bty="n",type="l",lty=3,lwd=3)
+	 
+legend("topleft",lty=c(NA,1,2,3),col=c("black","black","red","blue"),bty="n",
+cex=2,lwd=3,legend=c(
+as.expression(bquote(n*"="*.(n))),
+as.expression(bquote(alpha*"="*.(format(myalpha1, digits = 2)))),
+as.expression(bquote(alpha*"="*.(format(myalpha2, digits = 2)))),
+as.expression(bquote(alpha*"="*.(format(myalpha3, digits = 2))))))
+	 
+	 
+	 
+  })
+}
+
+
+
+