# Vertical Line Capability Stat Draws Vertical Capability Stats ```r stat_QC_cap_vlines(LSL, USL, method = "xBar.rBar", show = c("LSL", "USL"), mapping = NULL, data = NULL, inherit.aes = TRUE, ...) ``` ## Arguments - `LSL`: numeric, Customer's lower specification limit - `USL`: numeric, Customer's Upper specification limit - `method`: string, calling the following methods: * Individuals Charts : XmR, * Studentized Charts : xBar.rBar, xBar.rMedian, xBar.sBar, xMedian.rBar, xMedian.rMedian - `show`: vector, indicating which lines to draw ie., c("LCL", "LSL", "X", "USL", "UCL") * LCL : Lower Control Limit * LSL : Lower Specification Limit * X : Process Center * USL : Upper Specification Limit * UCL : Upper Control Limit - `mapping`: Set of aesthetic mappings created by `aes()` or `aes_()`. If specified and `inherit.aes = TRUE` (the default), it is combined with the default mapping at the top level of the plot. You must supply `mapping` if there is no plot mapping. - `data`: The data to be displayed in this layer. There are three options: If `NULL`, the default, the data is inherited from the plot data as specified in the call to `ggplot()`. A `data.frame`, or other object, will override the plot data. All objects will be fortified to produce a data frame. See `fortify()` for which variables will be created. A `function` will be called with a single argument, the plot data. The return value must be a `data.frame`, and will be used as the layer data. - `inherit.aes`: If `FALSE`, overrides the default aesthetics, rather than combining with them. This is most useful for helper functions that define both data and aesthetics and shouldn't inherit behaviour from the default plot specification, e.g. `borders()`. - `...`: Other arguments passed on to `layer()`. These are often aesthetics, used to set an aesthetic to a fixed value, like `colour = "red"` or `size = 3`. They may also be parameters to the paired geom/stat. ## Returns vertical lines for histogram and density plots. ## Examples ```r # Load Libraries ---------------------------------------------------------- require(ggQC) require(ggplot2) # Setup Data -------------------------------------------------------------- set.seed(5555) Process1 <- data.frame(ProcessID = as.factor(rep(1,100)), Value = rnorm(100,10,1), Subgroup = rep(1:20, each=5), Process_run_id = 1:100) set.seed(5556) Process2 <- data.frame(ProcessID = as.factor(rep(2,100)), Value = rnorm(100,20, 1), Subgroup = rep(1:10, each=10), Process_run_id = 101:200) df <- rbind(Process1, Process2) ###################### ## Example 1 XmR ## ###################### ##You may need to use the r-studio Zoom for these plots or make the size of the ##stat_QC_cap_summary smaller with size = some number" method <- "XmR" # Normal Histogram XmR -------------------------------------------------------- EX1.1 <- ggplot(df[df$ProcessID == 1,], aes(x=Value, QC.Subgroup=Subgroup)) + geom_histogram(binwidth = 1, color="purple") + geom_hline(yintercept=0, color="grey") + stat_QC_cap_vlines(LSL = 5, USL = 15, show=c("X", "LSL", "USL"), method=method) + stat_QC_cap_vlabels(LSL = 5, USL = 15, show=c("X", "LSL", "USL"), method=method) + stat_QC_cap_summary(LSL = 5, USL = 15, method=method, #show="ALL", #show=c("TOL","DNS", "Cp", "Cpk", "Pp", "Ppk", # "LCL", "X", "UCL", "Sig"), #show=c("Sig","TOL", "DNS"), show=c("TOL","DNS", "Cp", "Cpk", "Pp", "Ppk"), color="black", digits=2, size=4) + scale_x_continuous(expand = expand_scale(mult = c(0.15,.8))) + ylim(0,45) #Ex1.1 # Facet Histogram XmR ----------------------------------------------------- EX1.2 <- ggplot(df[order(df$Process_run_id),], aes(x=Value, QC.Subgroup=Subgroup, color=ProcessID)) + geom_histogram(binwidth = 1) + geom_hline(yintercept=0, color="grey") + stat_QC_cap_vlines(LSL = 5, USL = 15, method=method) + stat_QC_cap_vlabels(LSL = 5, USL = 15, method=method) + stat_QC_cap_summary(LSL = 5, USL = 15, method=method, #show="ALL", #show=c("TOL","DNS", "Cp", "Cpk", "Pp", "Ppk", # "LCL", "X", "UCL", "Sig"),#show=c("Sig","TOL", "DNS"), show=c("TOL","DNS", "Cp", "Cpk", "Pp", "Ppk"), color="black", digits=4, size=4) + scale_x_continuous(expand = ggplot2::expand_scale(mult = c(0.15,.8))) + facet_grid(.~ProcessID) + ylim(0,45) #EX1.2 # Facet Density Plot XmR ------------------------------------------------- EX1.3 <- ggplot(df[df$ProcessID == 1,], aes(x=Value, QC.Subgroup=Subgroup)) + geom_density(bw = .4, fill="purple", trim=TRUE) + geom_hline(yintercept=0, color="grey") + stat_QC_cap_vlines(LSL = 5, USL = 15, show=c("X", "LSL", "USL"), method=method) + stat_QC_cap_vlabels(LSL = 5, USL = 15, show=c("X", "LSL", "USL"), method=method) + stat_QC_cap_summary(LSL = 5, USL = 15, method=method, #show="ALL", #show=c("TOL","DNS", "Cp", "Cpk", "Pp", "Ppk", # "LCL", "X", "UCL", "Sig"), #show=c("Sig","TOL", "DNS"), show=c("TOL","DNS", "Cp", "Cpk", "Pp", "Ppk"), color="black", digits=2, size=4) + scale_x_continuous(expand = expand_scale(mult = c(0.15,.8))) + ylim(0,.5) #EX1.3 # Facet Density Plot XmR -------------------------------------------------- EX1.4 <- ggplot(df[order(df$Process_run_id),], aes(x=Value, QC.Subgroup=Subgroup, color=ProcessID)) + geom_density(bw = .4, fill="grey", trim=TRUE ) + stat_QC_cap_vlines(LSL = 5, USL = 15, method=method) + stat_QC_cap_vlabels(LSL = 5, USL = 15, method=method) + stat_QC_cap_summary(LSL = 5, USL = 15, method=method, #py=.3, #show="ALL", #show=c("TOL","DNS", "Cp", "Cpk", "Pp", "Ppk", # "LCL", "X", "UCL", "Sig"), #show=c("Sig","TOL", "DNS"), show=c("TOL","DNS", "Cp", "Cpk", "Pp", "Ppk"), color="black", digits=4, size=4) + scale_x_continuous(expand = ggplot2::expand_scale(mult = c(0.15,.8))) + # geom_hline(yintercept=0, color="black") + facet_grid(.~ProcessID) + ylim(0,.5) #EX1.4 ######################################## ## Example 2: xBar.rBar or xBar.sBar ## ######################################## method <- "xBar.rBar" #Alternativly Use "xBar.sBar" if desired # Single Histogram xBar.rBar ---------------------------------------------- EX2.1 <- ggplot(df[df$ProcessID==1,], aes(x=Value, QC.Subgroup=Subgroup)) + geom_histogram(binwidth = 1) + stat_QC_cap_vlines(LSL = 5, USL = 15, method=method) + stat_QC_cap_vlabels(LSL = 5, USL = 15, method=method) + stat_QC_cap_summary(LSL = 5, USL = 15, method=method, #py=.3, #show="ALL", #show=c("TOL","DNS", "Cp", "Cpk", "Pp", "Ppk", # "LCL", "X", "UCL", "Sig"), #show=c("Sig","TOL", "DNS"), show=c("TOL","DNS", "Cp", "Cpk", "Pp", "Ppk"), color="black", digits=4, size=4) + scale_x_continuous(expand = ggplot2::expand_scale(mult = c(0.15,.8))) #+ #EX2.1 # Faceted Histogram xBar.rBar --------------------------------------------- EX2.2 <- ggplot(df, aes(x=Value, QC.Subgroup=Subgroup)) + geom_histogram(binwidth = 1) + stat_QC_cap_vlines(LSL = 5, USL = 15, method=method) + stat_QC_cap_vlabels(LSL = 5, USL = 15, method=method) + stat_QC_cap_summary(LSL = 5, USL = 15, method=method, #py=.3, #show="ALL", #show=c("TOL","DNS", "Cp", "Cpk", "Pp", "Ppk", # "LCL", "X", "UCL", "Sig"), #show=c("Sig","TOL", "DNS"), show=c("TOL","DNS", "Cp", "Cpk", "Pp", "Ppk"), color="black", digits=4, size=4) + scale_x_continuous(expand = ggplot2::expand_scale(mult = c(0.15,.8)))+ facet_grid(.~ProcessID, scales="free_x") #EX2.2 # Single Density xBar.rBar ---------------------------------------------- EX2.3 <- ggplot(df[df$ProcessID==1,], aes(x=Value, QC.Subgroup=Subgroup)) + geom_density(bw = .4, fill="grey", alpha=.4) + stat_QC_cap_vlines(LSL = 5, USL = 15, method=method) + stat_QC_cap_vlabels(LSL = 5, USL = 15, method=method) + stat_QC_cap_summary(LSL = 5, USL = 15, method=method, #py=.3, #show="ALL", #show=c("TOL","DNS", "Cp", "Cpk", "Pp", "Ppk", # "LCL", "X", "UCL", "Sig"), #show=c("Sig","TOL", "DNS"), show=c("TOL","DNS", "Cp", "Cpk", "Pp", "Ppk"), color="black", digits=4, size=4) + scale_x_continuous(expand = ggplot2::expand_scale(mult = c(0.15,.8))) #+ #EX2.3 # Faceted Density xBar.rBar --------------------------------------------- EX2.4 <- ggplot(df, aes(x=Value, QC.Subgroup=Subgroup)) + geom_density(bw = .4, fill="grey", alpha=.4) + stat_QC_cap_vlines(LSL = 5, USL = 15, method=method) + stat_QC_cap_vlabels(LSL = 5, USL = 15, method=method) + stat_QC_cap_summary(LSL = 5, USL = 15, method=method, #py=.3, #show="ALL", #show=c("TOL","DNS", "Cp", "Cpk", "Pp", "Ppk", # "LCL", "X", "UCL", "Sig"), #show=c("Sig","TOL", "DNS"), show=c("TOL","DNS", "Cp", "Cpk", "Pp", "Ppk"), color="black", digits=4, size=4) + scale_x_continuous(expand = ggplot2::expand_scale(mult = c(0.15,.8)))+ facet_grid(.~ProcessID, scales="free_x") #EX2.4 ############################### ## Example 3: xBar.rMedian ## ############################### ## Plots involving medians should give warning: "median based QC methods represent ## at best *potential* process capability" ##These plot work the same as in examples 2.X; below is an example. method <- "xBar.rMedian" EX3.1 <- ggplot(df[order(df$Process_run_id),], aes(x=Value, QC.Subgroup=Run)) + geom_histogram(binwidth = 1) + stat_QC_cap_vlines(LSL = 5, USL = 15, method=method) + stat_QC_cap_vlabels(LSL = 5, USL = 15, method=method) + stat_QC_cap_summary(LSL = 5, USL = 15, method=method, #py=.3, #show="ALL", #show=c("TOL","DNS", "Cp", "Cpk", "Pp", "Ppk", # "LCL", "X", "UCL", "Sig"), #show=c("Sig","TOL", "DNS"), show=c("TOL","DNS", "Cp", "Cpk", "Pp", "Ppk"), color="black", digits=4, size=4) + scale_x_continuous(expand = ggplot2::expand_scale(mult = c(0.15,.8))) #EX3.1 ```

stat_QC_cap_vlines function