Commit ⋅ carloscinelli/benford.analysis

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_pkgdown.yml is new.

@@ -152,14 +152,16 @@

    
  benford.dist <- generate.benford.distribution(benford.digits)
  
  empirical.distribution <- generate.empirical.distribution(data, number.of.digits,sign, second.order = FALSE, benford.digits)
  empirical.distribution <- generate.empirical.distribution(data, number.of.digits, sign = sign, second.order = FALSE, benford.digits = benford.digits)
  
  n <- length(empirical.distribution$data)
  
  second.order <- generate.empirical.distribution(data, number.of.digits,sign, second.order = TRUE, benford.digits, discrete = discrete, round = round)
  second.order <- generate.empirical.distribution(data, number.of.digits, sign = sign, second.order = TRUE, benford.digits = benford.digits, discrete = discrete, round = round)
  
  n.second.order <- length(second.order$data)
  
  last.two.digits <- generate.empirical.distribution(data, sign = sign, last.two.dgts = TRUE, benford.digits = benford.digits)
  
  benford.dist.freq <- benford.dist*n
  
  ## calculating useful summaries and differences

@@ -226,6 +228,9 @@

                 s.o.data = data.table(second.order = second.order$data,
                                       data.second.order.digits = second.order$data.digits),
                 
                 last.two.digits = data.table(last.two.digits = 0:99,
                                              data.dist.freq = last.two.digits$dist.freq),
                 
                 bfd = data.table(digits = benford.digits,
                                  data.dist = empirical.distribution$dist,
                                  data.second.order.dist = second.order$dist,

@@ -192,9 +192,16 @@

  if (sign == "both")      positives <- abs(data[data != 0 & !is.na(data)]) 
  
  digits.as.str <- as.character(positives)
  digits.as.str <- gsub("\\.", "", digits.as.str)
  ltd <- as.integer(substr(digits.as.str, nchar(digits.as.str) - 1, nchar(digits.as.str)))
  ltd[ltd < 10] <- ltd[ltd < 10]*10
  nozeros <- grepl("\\.", digits.as.str)
  digits.as.str.nz <- digits.as.str[nozeros]
  dgts.after.dot <- sub("^[0-9]*\\.", "", digits.as.str.nz)
  ltd.dgts.after.dot <- substr(dgts.after.dot, nchar(dgts.after.dot)-1, nchar(dgts.after.dot))
  which.dgts.mult.10 <- grepl("^0", ltd.dgts.after.dot)
  dgts.mult.10 <- as.character(as.numeric(ltd.dgts.after.dot[which.dgts.mult.10])*10)
  ltd.dgts.after.dot[which.dgts.mult.10] <- dgts.mult.10
  digits.as.str[!nozeros] <- 0
  digits.as.str[nozeros] <- ltd.dgts.after.dot
  ltd <- as.numeric(digits.as.str)
  
  results <- data.frame(data = positives,
                        data.digits = ltd)

@@ -270,13 +277,19 @@

  return(benford.dist)
}

generate.empirical.distribution <- function(data, number.of.digits,sign, second.order = FALSE, benford.digits, discrete = TRUE, round = 3){
generate.empirical.distribution <- function(data, number.of.digits, sign, last.two.dgts = FALSE, second.order = FALSE, benford.digits, discrete = TRUE, round = 3){
  x <- NULL
  v <- NULL
  data.frame <- extract.digits(data, number.of.digits, sign, second.order, discrete = discrete, round = round)
  if(last.two.dgts){
    data.frame <- last.two.digits(data, sign)
    DF <- data.table(x = c(data.frame$data.digits, 0:99),
                     v = c(data.frame$data.digits, 0:99))
  }else{
    data.frame <- extract.digits(data, number.of.digits, sign, second.order, discrete = discrete, round = round) 
    DF <- data.table(x = c(data.frame$data.digits, benford.digits),
                     v = c(data.frame$data.digits, benford.digits) )
  }
  n <- length(data.frame$data.digits)
  DF <- data.table(x = c(data.frame$data.digits, benford.digits),
                   v = c(data.frame$data.digits, benford.digits) )
  DFcount <- DF[ ,length(x) - 1, by = v][order(v)]
  dist.freq <- DFcount$V1
  dist <- dist.freq/n

@@ -124,7 +124,6 @@

124	124		}
125	125
126	126		# Separate plots --------------------------------------------------------------------------------------
127		-	#utils::globalVariables(c("x", "err.bounds", "alpha", "exp.benford"))
128	127
129	128		histogram.Benford <- function(x,
130	129		obs.freq = "digits",

@@ -183,8 +182,7 @@

  }
  
  if(is.null(xlab)){
    ord <- c("","-two","-tree", "-order")[ifelse(x$info$number.of.digits <= 3, x$info$number.of.digits, 4)]
    xlab <- paste0("First", ord, " Digits") 
    xlab <- c("First Digit", "First-Two Digits", "First-Three Digits", "First-Order Digits")[ifelse(x$info$number.of.digits <= 3, x$info$number.of.digits, 4)]
  }
  
  if(is.null(ylab)){

@@ -277,8 +275,7 @@

  }
  
  if(is.null(xlab)){
    ord <- c("","-two","-tree", "-order")[ifelse(x$info$number.of.digits <= 3, x$info$number.of.digits, 4)]
    xlab <- paste0("First", ord, " Digits") 
    xlab <- c("First Digit", "First-Two Digits", "First-Three Digits", "First-Order Digits")[ifelse(x$info$number.of.digits <= 3, x$info$number.of.digits, 4)]
  }
  
  if(is.null(ylab)){

@@ -341,10 +338,10 @@

  )
  
  if(is.null(xlab)){
    ord <- c("","-two","-tree", "-order")[ifelse(x$info$number.of.digits <= 3, x$info$number.of.digits, 4)]
    xlab <- paste0("First", ord, " Digits") 
    xlab <- c("First Digit", "First-Two Digits", "First-Three Digits", "First-Order Digits")[ifelse(x$info$number.of.digits <= 3, x$info$number.of.digits, 4)]
  }
  
  
  if(is.null(ylab)){
    ylab <- "Frequency"
  }

@@ -487,16 +484,6 @@

  }
}

# histogram.Benford(x,  obs.freq = "digits", freq = T, main = NULL, xlab = NULL, ylab = NULL, grid = TRUE, col.bar = "lightblue", err.bounds = FALSE, alpha = 0.05, exp.benford = TRUE, ...)
# 
# rootogram.Benford(x,obs.freq = "digits", freq = TRUE,main = NULL,xlab = NULL,ylab = NULL,grid = TRUE,col.bar = "lightblue",err.bounds = FALSE,alpha = 0.05, exp.benford = TRUE, ...)
# 
# needle.Benford(x,discrepancy = "abs diff",main = NULL,xlab = NULL,ylab = NULL,grid = TRUE,col = "blue", ...)
# 
# xyplot.Berford(x,obs.freq = "digits",freq = TRUE,main = "Expected vs observed frequencies",xlab = "Observed Frequency",ylab = "Expected Frequency",grid = TRUE,col = "blue",...)
# 
# histogram.Benford(x,  obs.freq = "digits", freq, main = NULL, xlab = NULL, ylab = NULL, grid, col.bar, err.bounds, alpha)

plot.switch <- function(plot_this, x, col.bar, grid, err.bounds, alpha, freq){
  switch(plot_this,
         "digits" = histogram.Benford(x,  obs.freq = "digits", main = "Digits distribution", xlab = NULL, ylab = NULL, grid, col.bar, err.bounds, alpha, freq),

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Project Totals (4 files)	576	576	0	0	100.00%

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152	152
153	153		benford.dist <- generate.benford.distribution(benford.digits)
154	154
155		-	empirical.distribution <- generate.empirical.distribution(data, number.of.digits,sign, second.order = FALSE, benford.digits)
	155	+	empirical.distribution <- generate.empirical.distribution(data, number.of.digits, sign = sign, second.order = FALSE, benford.digits = benford.digits)
156	156
157	157		n <- length(empirical.distribution$data)
158	158
159		-	second.order <- generate.empirical.distribution(data, number.of.digits,sign, second.order = TRUE, benford.digits, discrete = discrete, round = round)
	159	+	second.order <- generate.empirical.distribution(data, number.of.digits, sign = sign, second.order = TRUE, benford.digits = benford.digits, discrete = discrete, round = round)
160	160
161	161		n.second.order <- length(second.order$data)
162	162
	163	+	last.two.digits <- generate.empirical.distribution(data, sign = sign, last.two.dgts = TRUE, benford.digits = benford.digits)
	164	+
163	165		benford.dist.freq <- benford.dist*n
164	166
165	167		## calculating useful summaries and differences

226	228		s.o.data = data.table(second.order = second.order$data,
227	229		data.second.order.digits = second.order$data.digits),
228	230
	231	+	last.two.digits = data.table(last.two.digits = 0:99,
	232	+	data.dist.freq = last.two.digits$dist.freq),
	233	+
229	234		bfd = data.table(digits = benford.digits,
230	235		data.dist = empirical.distribution$dist,
231	236		data.second.order.dist = second.order$dist,

192	192		if (sign == "both") positives <- abs(data[data != 0 & !is.na(data)])
193	193
194	194		digits.as.str <- as.character(positives)
195		-	digits.as.str <- gsub("\\.", "", digits.as.str)
196		-	ltd <- as.integer(substr(digits.as.str, nchar(digits.as.str) - 1, nchar(digits.as.str)))
197		-	ltd[ltd < 10] <- ltd[ltd < 10]*10
	195	+	nozeros <- grepl("\\.", digits.as.str)
	196	+	digits.as.str.nz <- digits.as.str[nozeros]
	197	+	dgts.after.dot <- sub("^[0-9]*\\.", "", digits.as.str.nz)
	198	+	ltd.dgts.after.dot <- substr(dgts.after.dot, nchar(dgts.after.dot)-1, nchar(dgts.after.dot))
	199	+	which.dgts.mult.10 <- grepl("^0", ltd.dgts.after.dot)
	200	+	dgts.mult.10 <- as.character(as.numeric(ltd.dgts.after.dot[which.dgts.mult.10])*10)
	201	+	ltd.dgts.after.dot[which.dgts.mult.10] <- dgts.mult.10
	202	+	digits.as.str[!nozeros] <- 0
	203	+	digits.as.str[nozeros] <- ltd.dgts.after.dot
	204	+	ltd <- as.numeric(digits.as.str)
198	205
199	206		results <- data.frame(data = positives,
200	207		data.digits = ltd)

270	277		return(benford.dist)
271	278		}
272	279
273		-	generate.empirical.distribution <- function(data, number.of.digits,sign, second.order = FALSE, benford.digits, discrete = TRUE, round = 3){
	280	+	generate.empirical.distribution <- function(data, number.of.digits, sign, last.two.dgts = FALSE, second.order = FALSE, benford.digits, discrete = TRUE, round = 3){
274	281		x <- NULL
275	282		v <- NULL
276		-	data.frame <- extract.digits(data, number.of.digits, sign, second.order, discrete = discrete, round = round)
	283	+	if(last.two.dgts){
	284	+	data.frame <- last.two.digits(data, sign)
	285	+	DF <- data.table(x = c(data.frame$data.digits, 0:99),
	286	+	v = c(data.frame$data.digits, 0:99))
	287	+	}else{
	288	+	data.frame <- extract.digits(data, number.of.digits, sign, second.order, discrete = discrete, round = round)
	289	+	DF <- data.table(x = c(data.frame$data.digits, benford.digits),
	290	+	v = c(data.frame$data.digits, benford.digits) )
	291	+	}
277	292		n <- length(data.frame$data.digits)
278		-	DF <- data.table(x = c(data.frame$data.digits, benford.digits),
279		-	v = c(data.frame$data.digits, benford.digits) )
280	293		DFcount <- DF[ ,length(x) - 1, by = v][order(v)]
281	294		dist.freq <- DFcount$V1
282	295		dist <- dist.freq/n

183	182		}
184	183
185	184		if(is.null(xlab)){
186		-	ord <- c("","-two","-tree", "-order")[ifelse(x$info$number.of.digits <= 3, x$info$number.of.digits, 4)]
187		-	xlab <- paste0("First", ord, " Digits")
	185	+	xlab <- c("First Digit", "First-Two Digits", "First-Three Digits", "First-Order Digits")[ifelse(x$info$number.of.digits <= 3, x$info$number.of.digits, 4)]
188	186		}
189	187
190	188		if(is.null(ylab)){

487	484		}
488	485		}
489	486
490		-	# histogram.Benford(x, obs.freq = "digits", freq = T, main = NULL, xlab = NULL, ylab = NULL, grid = TRUE, col.bar = "lightblue", err.bounds = FALSE, alpha = 0.05, exp.benford = TRUE, ...)
491		-	#
492		-	# rootogram.Benford(x,obs.freq = "digits", freq = TRUE,main = NULL,xlab = NULL,ylab = NULL,grid = TRUE,col.bar = "lightblue",err.bounds = FALSE,alpha = 0.05, exp.benford = TRUE, ...)
493		-	#
494		-	# needle.Benford(x,discrepancy = "abs diff",main = NULL,xlab = NULL,ylab = NULL,grid = TRUE,col = "blue", ...)
495		-	#
496		-	# xyplot.Berford(x,obs.freq = "digits",freq = TRUE,main = "Expected vs observed frequencies",xlab = "Observed Frequency",ylab = "Expected Frequency",grid = TRUE,col = "blue",...)
497		-	#
498		-	# histogram.Benford(x, obs.freq = "digits", freq, main = NULL, xlab = NULL, ylab = NULL, grid, col.bar, err.bounds, alpha)
499		-
500	487		plot.switch <- function(plot_this, x, col.bar, grid, err.bounds, alpha, freq){
501	488		switch(plot_this,
502	489		"digits" = histogram.Benford(x, obs.freq = "digits", main = "Digits distribution", xlab = NULL, ylab = NULL, grid, col.bar, err.bounds, alpha, freq),

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