This Markdown file contains example uses for all the functions in the package bmi585hmumme. You can download the package with the following command in the R Console. Uncomment the following if you have not installed the package to your system.
#devtools::install_github("hmumme/bmi585hmumme")
Load the package and set up the Markdown file:
knitr::opts_chunk$set(echo = TRUE) library(bmi585hmumme)
The following functions are broken down by section; each section represents the assignment the function came from. These examples can also be found in the help documentation for each function; type ?functionName to retrieve this.
This function takes a numerical object from scale(), reverses the scaling and centering done (if any), and returns the un-scaled numerical object.
xS = scale(matrix(1:10, ncol = 2)) # scale a matrix unscale(x = xS) # un-scale to get the original matrix
This function approximates x feature data using npc number of principle components.
x = matrix(c(4,5,2,10,2,8,4,5,6), ncol = 3) # feature data matrix pcApprox(x, npc = 1) # approximate using 1 principle component
This function creates lollipop plots of all the principal component loadings in feature data x (must be numerical data frame or tibble). Each principle component will have its own plot of values for each variable in the data x.
x = data.frame(data = matrix(c(4,5,2,10,2,8,4,5,6), ncol = 3)) # feature data frame pcLollipop(x) # create lollipop plots
This function calculates the sensitivity from predicted and true vectors. These vectors can either be 0s (negatives) and 1s (positives) or boolean.
sensitivity(c(0,1,0),c(1,1,1)) # calculates sensitivity
This function calculates the specificity from predicted and true vectors. These vectors can either be 0s (negatives) and 1s (positives) or boolean.
specificity(c(0,1,1),c(0,0,1)) # calculates specificity
This function calculates the accuracy from predicted and true vectors. These vectors can either be 0s (negatives) and 1s (positives) or boolean.
accuracy(c(0,1,1),c(1,1,1)) # calculates accuracy
This function calculates the PPV from predicted and true vectors. These vectors can either be 0s (negatives) and 1s (positives) or boolean.
ppv(c(1,1,0),c(0,1,1)) # calculates PPV
This function calculates the F1 score from predicted and true vectors. These vectors can either be 0s (negatives) and 1s (positives) or boolean.
f1(c(1,1,1),c(1,1,0)) # calculates f1 score
This function use the Box-Muller transformation to generate 2 vectors of random, normally distributed n values.
boxMuller(5) # generates two random, normally distributed vectors with 5 values each
This function calculates the p-value from a two-sided t-test statistic and the number of samples n.
twoSidedT(3, 5) # calculates p-value
This function calculates the p-value from a two-sided z score.
twoSidedZ(3) # calculates p-value
This function calculates the effect size from vector of values x and grouping variable g.
effectSize(c(1.42, 8.10, 9.22, 20.92, 5.67, 0.45), c(0,0,1,1,0)) # calculates effect size
This function performs a Welch's T test to compare the means of vector x and vector y. It will return a vector of length 5 with Welch's T statistic, degrees of freedom, p-value, mean of group x, and mean of group y.
welchT(c(1.42, 8.10, 9.22, 20.92, 5.67, 0.45), c(1.99, 8.09, 9.13, 9.10, 5.55, 0.11)) # calculate welch t-test statistics
This function finds the minimum number of samples needed for effect size d and power = 0.8, returns number of samples rounded up to nearest integer.
minimumN(1.3) # calculate number of samples needed
This function performs a chi square test of homogeneity between data in columns x and y of tib. Returns a p-value.
data = dplyr::tibble("sex" = c(1,0,1),"group" = c("A","B","C"), "age" = c(40,15,33), "height" = c(63, 70, 68)) # create data chiSquareCounts(data, "age", "height") # perform test
This function estimates post hoc power from effect size and number of samples using 1000 simulations.
postHocPower(d = 0.5, n1 = 20, n2 = 22) # estimate power
This function tests for significant p-values using Bonferroni-Holm adjustment. Returns logical vector showing which p-values are statistically significant after the BH adjustment.
bhAdjust(c(0.05, 0.0005, 0.01, 0.0225, 0.025)) # find which p-values are significant after BH adjustment
This function tests for significant p-values using FDR adjustment. Returns logical vector showing which p-values are statistically significant after the FDR adjustment.
fdrAdjust(c(0.05, 0.0005, 0.01, 0.0225, 0.025)) # find which p-values are significant after fdr adjustment
This function calculates the R-Squared value from two numerical vectors of predicted/true values.
yTrue = c(0,1,1,1) # true values r2(pred = c(0,1,0.7,1), truth = yTrue) # find R^2
This function calculates the adjusted R-Squared value from two numerical vectors of predicted/true values and the number of predictors used d.
yTrue = c(0,1,1,1) # true values adjR2(pred = c(0,1,0.7,1), truth = yTrue, d = 2) # find adjusted R^2
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