shuffled_ttest.Version = 1.11;
#initial program for running the shuffling of t-tests
#Data should be organized with Var 1 in column 1 and Var 2 in column 2
#runs independant sample t-test or paired t test, a number of times, with the data being segmented by minimum number of participants needed to reach significance
#####Parameters--------------
#data_set should refer to a dataset available in the global envir
#shuffle_amount - denotes how many times the data will be shuffled
#alpha - desired alpha value
#paired - optional TRUE/FALSE for Paired Sample t-Test, default is False
#csvFileName, if included allows the results to be added to a separate data.frame - Must be in " "
#Required packages
packages = c("tictoc");
#use this function to check if each package is on the local machine
#if a package is installed, it will be loaded
#if any are not, the missing package(s) will be installed and loaded
package.check <- lapply(packages, FUN = function(x) {
if (!require(x, character.only = TRUE)) {
install.packages(x, dependencies = TRUE)
library(x, character.only = TRUE);
}
})
######End Packages
######Find Base n--------------------------------------------------
find_base_n <- function(data_set, alpha, method) {
#save variable
alpha <- alpha;
#initialize pvalues variable as vector
pvalues <- vector(mode="double", length=2);
pvalues[1:2] = 1;
#Convert piped in dataset to a data frame
data_set <- as.data.frame(
data_set,
row.names = NULL,
optional = FALSE,
cut.names = FALSE,
col.names = names(data_set),
fix.empty.names = TRUE,
stringsAsFactors = FALSE);
#######Incremental t-Tests------------------------
#i.e. 1-2, 1-3, 1-4, 1-5, etc..
for(k in 2:nrow(data_set)) {
#Paired Sample = FALSE - Run independant Sample
if (method == FALSE) {
#Makes sure there is variance prior to running ind-sample t-test
#Use apply to get variance values rows 1:k, in columns 1 and 2
#Use all to compare variance to 0
if (all(apply(data_set[1:k,], 2, var) != 0 )){
#Saves iterative p values in a vector
pvalues[k] <- t.test(data_set[1:k,1],data_set[1:k,2])$p.value;
}
else {
pvalues[k] <- 2;
}
} #end if
#Paired Sample = TRUE - Run paired Sample
if (method == TRUE) {
#Makes sure there is variance before running paired sample t-test
#Use apply to get variance values in both rows and colums
#Use all to compare variances to 0
if (sum(apply(data_set[1:k,], 1, var)) > 0 &
sum(apply(data_set[1:k,], 2, var)) > 0 ){
#tryCatch---
tryCatch({ #checks for errors
#Saves iterative p values in a vector
pvalues[k] <- t.test(data_set[1:k,1],data_set[1:k,2], paired = TRUE)$p.value;
},
#If there is an error, set current p value = 2
error = function(err) {
pvalues[k] <- 2;
}); #End tryCatch---
}
#If there is not variance, set p value = 2
else {
pvalues[k] <- 2;
}
} #end if
} #End For Loop
i=3; #starts with atleast 2 participants
######Minimum Sig. Value------------------
#Loop through pvalues vector from above to find first significant p value
while(i <= length(pvalues)) {
#For debugging, saves list of pvalues to Global env
#assign('pvalues',pvalues, envir=.GlobalEnv);
###Minimum base_n allowed----------
min_n <- 10;
#Return number of participants needed for significance with a minimum number of participants examined
if (pvalues[i] <= alpha & i >= min_n) {
return(i);
}
#Continues loop if not in the current row
else {
i <- i + 1;
}
} #End While loop
#if no significant p values are found, return 0.
return(0);
}
######Shuffled t-Test Function---------------------------
shuffled_ttest <- function(data_set, shuffle_amount, alpha, paired=FALSE, csvFileName){
######Variable setup-----------------------------------
#convert data to data.frame
data_set <- as.data.frame(data_set, row.names = NULL, optional = FALSE,
cut.names = FALSE, col.names = names(data_set), fix.empty.names = TRUE,
stringsAsFactors = default.stringsAsFactors());
shuffle_amount <- shuffle_amount;
tic("Run time") #start timer----
###Alpha Check----
#if alpha parameter is included, save the variable
if (!missing(alpha)) {
#Set alpha value from input
alpha <- alpha;
}
else {
alpha <- .05;
}
###Paired t-Test Check----
#Option for Paired-Sample t-test - Default is FALSE
if (paired == FALSE) {
paired_test <- FALSE;
t.method <- "Independant Sample t-Test";
}
else {
paired_test <- TRUE;
t.method <- "Paired Sample t-Test";}
###CSV Output Check----
#if csvFileName parameter is included, save the variable
if (!missing(csvFileName)) {
#Appends '.csv' and saves desired file name as variable csvFileName
csvFileName <- paste(csvFileName,".csv",sep="");
}
#Create statistical output data frame named "results", with 7 headers, for ind. sampled t-tests, clears old data with each new run
results <- data.frame("iteration" = numeric(0), "sample" = numeric(0),"range" = character(0), "base n" = numeric(0), "t" = double(0),"df" = double(0),"p value" = double(0), stringsAsFactors = FALSE);
group1_col <- 1; #group 1 column = variable 1, change as needed
group2_col <- 2; #group 2 column = variable 2, change as needed
sum_sig_p <- 0; #used to keep track of number of significant findings
sum_NA <- 0; #counter for no variance comparisons
########End Variable Setup---------------------------------
#Warning for large shuffling amounts
if (shuffle_amount > 50) {
print("Please wait...");
}
######Shuffling and replication ------------------------------
#Shuffles the data a number of times = to shuffle amount, running the replication tests for each iteration
for (i in 1:shuffle_amount) {
cycle <- 1; #keep track of replications within shuffles
x<-1; #Used for lower bounds of current selection - resets on new iteration
#shuffles data set using 'sample()'
data_set <- data_set[sample(1:nrow(data_set)),];
#assigns shuffled data to global env
assign("shuffled_data",data_set, envir=.GlobalEnv);
#finds base n for each iteration
base_n <- find_base_n(data_set, alpha, paired_test);
#If there are no significant findings, defaults to all data
if (base_n == 0) {
base_n <- nrow(data_set);
}
#y=set to min number of participants needed for each shuffle
y <- base_n;
#Repeats while the current selection of participants is less than the max number of participants - does not run less than base_n number of participants, so there may be missing data at the end
#TODO - Add option for include/exclude uneven N
while (y <= nrow(data_set)) {
#Ind sample t-test---------------------
if (paired_test == FALSE) {
#Check that variance is greater than 0 in current selections
#Use apply to get variance values of rows x:y, in columns 1 and 2
#Use all to compare variance to 0
if (all(apply(data_set[x:y,], 2, var) != 0 )){
#t test on Group 1 and Group 2 using current selection of participants x through y
ttestresults <- t.test(data_set[x:y,group1_col],data_set[x:y,group2_col]);
#if the test is signficant, increase count by 1
if (ttestresults$p.value <= alpha) {
sum_sig_p <- sum_sig_p + 1;
}
#add statistical output to new row in results data.frame, rounding down the decimals
#Organized as [iteration, cycle number, range, t-test statistic, degrees of freedom, p value].
results[nrow(results) + 1,] <- list(i,cycle,paste(x,':',y, sep=""),base_n,round(ttestresults$statistic,3), round(ttestresults$parameter,4), round(ttestresults$p.value,5));
}
#If there is 0 variance, report NA for test statistics
else {
results[nrow(results) + 1,] <- list(i,cycle,paste(x,':',y, sep=""),base_n,"NA", "NA", "NA");
sum_NA <- sum_NA + 1;
}
} #end if
#Paired sample t-test--------------------
if (paired_test == TRUE) {
#Check that variance is greater than 0 in current selections
#Use apply to get variance values within-subject and between subject - 1=rows, 2=cols
#Use all to compare variance to 0
if (#all(apply(data_set[x:y,], 1, var) != 0) &
#all(apply(data_set[x:y,1], 2, var) != 0) &
all(apply(data_set[x:y,], 2, var) != 0)){
#debug variable values when errors occur
assign("x",x, envir=.GlobalEnv);
assign("y",y, envir=.GlobalEnv);
assign("base n",base_n, envir=.GlobalEnv);
#Catch data is constant errors
tryCatch({
#t test on Group 1 and Group 2 using current selection of participants x through y
ttestresults <- t.test(data_set[x:y,group1_col],data_set[x:y,group2_col],paired=TRUE);
},
error = function(err) {
sum_NA <- sum_NA + 1;
ttestresults$p.value <- 9;
})
#if the test is signficant, increase count by 1
if (is.null(ttestresults$p.value) == FALSE &
ttestresults$p.value <= alpha) {
sum_sig_p <- sum_sig_p + 1;
}
#add statistical output to new row in results data.frame, rounding down the decimals
#Organized as [iteration, cycle number, range, t-test statistic, degrees of freedom, p value].
results[nrow(results) + 1,] <- list(i,cycle,paste(x,':',y, sep=""),base_n,round(ttestresults$statistic,3), round(ttestresults$parameter,4), round(ttestresults$p.value,5));
}
else {
#Skips t-test and report NA findings when variance = 0
results[nrow(results) + 1,] <- list(i,cycle,paste(x,':',y, sep=""),base_n,"NA", "NA", "NA");
sum_NA <- sum_NA + 1;
}
} #end if
#Selects new range of participants of length base_n and increase cycle count
x<-x+base_n;
y<-y+base_n;
cycle <- cycle + 1;
}#end while loop
end_time=Sys.time(); #End Timer
}#End for loop
#######End shuffling and replication---------------------
#######Export--------------------------------------------
#Saves results to custom external file if option is include in parameters, if none included in argument, defaults output to 'results.csv'
if (missing(csvFileName)){
assign('results',results, envir=.GlobalEnv);
write.csv(results, file="results.csv", row.names=TRUE);
}
#if there IS a name included
else {
#writes to a csv file using the variable output_fname
write.csv(results, file=csvFileName, row.names=TRUE);
}
#######End Export ------------------------------------------
#######Output-----------------------------------------------
#shows the results in console if there are less than 50 rows
if (nrow(results) < 50) {
show(results);
}
toc(); #total time taken
#Summary of results - cat() allows use of \n for line breaks
cat(t.method,
"\nSignificant findings (p < ",alpha,"): ", sum_sig_p, "/", nrow(results), " (",round((sum_sig_p/nrow(results))*100,2),"%)",
"\nZero Variances: ",sum_NA, " | Mean Base n: ", mean(results[,4]),sep="");
}
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