On my old beat-up TI-83 I can get a reduced fraction representation of a rational real number with the following syntax.
.14>Frac
7/50
Is there a similar syntax, function, or开发者_如何学编程 CRAN package that will allow me to do this in R?
fractions() in the MASS package does just that:
> library(MASS)
> fractions(.14)
[1] 7/50
Another possibility is to use reduce.fraction
from phonTools
, but this requires a ratio of whole numbers:
library(phonTools)
frac <- function(x) {
denom <- 10^(nchar(x %% 1) - 2)
num <- trunc(x * denom)
reduce.fraction(c(num, denom))
}
frac(.14)
[1] 7 50
# for multiple numbers must vectorize
vfrac <- Vectorize(frac, "x")
vfrac(c(.14, .375))
[,1] [,2]
[1,] 7 3
[2,] 50 8
This allows for an easy retrieval of the numerator and denominator and values can easily be formatted to create a fraction:
paste(frac(.14), collapse = "/"))
[1] "7/50"
#Steps:
#1. Convert the data into fractions using fractions() from the MASS package.
#2. Convert the matrix to character.
#3. Convert to data frame.
#4. Then use gt().
#Example
if (!require("gt")) install.packages("gt")
if (!require("MASS")) install.packages("MASS")
library(gt)
library(MASS)
#Let us have some data using discrete joint probability distribution
JointDist <- function(xvector,yvector){
i <- 0
j <- 0
entries <- matrix(nrow = length(xvector), ncol = length(yvector))
for (x in min(xvector):max(xvector)) {
i = i+1
j <- 0 #reset j
for (y in min(yvector):max(yvector)) {
j = j+1
entries[i,j] <- (2*x+y)/42 #change the expression according to the given
}
}
entries
}
xvect <- 0:2
yvect <- 0:3
#This is the data in decimal format
mydata <- JointDist(xvect, yvect)
mydata
#This is the data in fraction format
mydata <- fractions(JointDist(xvect, yvect))
mydata
#Rename the columns and rows
colnames(mydata) <- paste0("yequals_",yvect)
rownames(mydata) <- paste0("xequals_", xvect)
mydata
#Get the marginal function of x and y and combine in the matrix
#The last column is the marginal probability function of x
#The last row is the marginal probability function of y
mydata <- fractions(cbind(mydata, marginalPFx = rowSums(mydata)))
mydata <- fractions(rbind(mydata, marginalPFy = colSums(mydata)))
mydata
#convert to data frame
df <- data.frame(Headers = row.names(mydata), mydata)
df
#Notice that it did not retain the fraction format.
gt(df)
#The secret is to change mydata to character before converting it to data frame
mydata <- as.character(mydata)
#convert to data frame
df <- data.frame(Headers = row.names(mydata), mydata)
df
#Now, it retains the fraction format.
gt(df)
#Add some title
if (!require("dplyr")) install.packages("dplyr")
library(dplyr)
gt(df) %>%
tab_header(
title = md("**JOINT PROBABILITY DISTRIBUTION**"),
subtitle = md("***f(x,y) = (2x+y)/42***"))
#That's it!
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