/**
* In this method, all possible post hoc statistical test between more than three algorithms
* results are executed, according to the configuration file
*
* @param code A double that identifies which methods will be applied
* @param nfold A vector of int with fold number by algorithm
* @param algorithms A vector of String with the names of the algorithms
* @param fileName A String with the name of the output file
*/
public static void doMultiple(double data[][], String algorithms[]) {
String outputFileName = Configuration.getPath();
String outputString = new String("");
outputString = header();
outputString += runMultiple(data, algorithms);
Files.writeFile(outputFileName, outputString);
} // end-method
/**
* This method runs the multiple comparison tests
*
* @param code A value to codify which post-hoc methods apply
* @param results Array with the results of the methods
* @param algorithmName Array with the name of the methods employed
* @return A string with the contents of the test in LaTeX format
*/
private static String runMultiple(double[][] results, String algorithmName[]) {
int i, j, k;
int posicion;
double mean[][];
MultiplePair orden[][];
MultiplePair rank[][];
boolean encontrado;
int ig;
double sum;
boolean visto[];
Vector<Integer> porVisitar;
double Rj[];
double friedman;
double sumatoria = 0;
double termino1, termino2, termino3;
double iman;
boolean vistos[];
int pos, tmp, counter;
String cad;
double maxVal;
double Pi[];
double ALPHAiHolm[];
double ALPHAiShaffer[];
String ordenAlgoritmos[];
double ordenRankings[];
int order[];
double adjustedP[][];
double SE;
boolean parar;
Vector<Integer> indices = new Vector<Integer>();
Vector<Vector<Relation>> exhaustiveI = new Vector<Vector<Relation>>();
boolean[][] cuadro;
double minPi, tmpPi, maxAPi, tmpAPi;
Relation[] parejitas;
Vector<Integer> T;
int Tarray[];
DecimalFormat nf4 = (DecimalFormat) DecimalFormat.getInstance();
nf4.setMaximumFractionDigits(4);
nf4.setMinimumFractionDigits(0);
DecimalFormatSymbols dfs = nf4.getDecimalFormatSymbols();
dfs.setDecimalSeparator('.');
nf4.setDecimalFormatSymbols(dfs);
DecimalFormat nf6 = (DecimalFormat) DecimalFormat.getInstance();
nf6.setMaximumFractionDigits(6);
nf6.setMinimumFractionDigits(0);
nf6.setDecimalFormatSymbols(dfs);
String out = "";
int nDatasets = Configuration.getNDatasets();
Iman = Configuration.isIman();
Nemenyi = Configuration.isNemenyi();
Bonferroni = Configuration.isBonferroni();
Holm = Configuration.isHolm();
Hoch = Configuration.isHochberg();
Hommel = Configuration.isHommel();
Scha = Configuration.isShaffer();
Berg = Configuration.isBergman();
mean = new double[nDatasets][algorithmName.length];
// Maximize performance
if (Configuration.getObjective() == 1) {
/*Compute the average performance per algorithm for each data set*/
for (i = 0; i < nDatasets; i++) {
for (j = 0; j < algorithmName.length; j++) {
mean[i][j] = results[j][i];
}
}
}
// Minimize performance
else {
double maxValue = Double.MIN_VALUE;
/*Compute the average performance per algorithm for each data set*/
for (i = 0; i < nDatasets; i++) {
for (j = 0; j < algorithmName.length; j++) {
if (results[j][i] > maxValue) {
maxValue = results[j][i];
}
mean[i][j] = (-1.0 * results[j][i]);
}
}
for (i = 0; i < nDatasets; i++) {
for (j = 0; j < algorithmName.length; j++) {
mean[i][j] += maxValue;
}
}
}
/*We use the pareja structure to compute and order rankings*/
orden = new MultiplePair[nDatasets][algorithmName.length];
for (i = 0; i < nDatasets; i++) {
for (j = 0; j < algorithmName.length; j++) {
orden[i][j] = new MultiplePair(j, mean[i][j]);
}
Arrays.sort(orden[i]);
}
/*building of the rankings table per algorithms and data sets*/
rank = new MultiplePair[nDatasets][algorithmName.length];
posicion = 0;
for (i = 0; i < nDatasets; i++) {
for (j = 0; j < algorithmName.length; j++) {
encontrado = false;
for (k = 0; k < algorithmName.length && !encontrado; k++) {
if (orden[i][k].indice == j) {
encontrado = true;
posicion = k + 1;
}
}
rank[i][j] = new MultiplePair(posicion, orden[i][posicion - 1].valor);
}
}
/*In the case of having the same performance, the rankings are equal*/
for (i = 0; i < nDatasets; i++) {
visto = new boolean[algorithmName.length];
porVisitar = new Vector<Integer>();
Arrays.fill(visto, false);
for (j = 0; j < algorithmName.length; j++) {
porVisitar.removeAllElements();
sum = rank[i][j].indice;
visto[j] = true;
ig = 1;
for (k = j + 1; k < algorithmName.length; k++) {
if (rank[i][j].valor == rank[i][k].valor && !visto[k]) {
sum += rank[i][k].indice;
ig++;
porVisitar.add(new Integer(k));
visto[k] = true;
}
}
sum /= (double) ig;
rank[i][j].indice = sum;
for (k = 0; k < porVisitar.size(); k++) {
rank[i][((Integer) porVisitar.elementAt(k)).intValue()].indice = sum;
}
}
}
/*compute the average ranking for each algorithm*/
Rj = new double[algorithmName.length];
for (i = 0; i < algorithmName.length; i++) {
Rj[i] = 0;
for (j = 0; j < nDatasets; j++) {
Rj[i] += rank[j][i].indice / ((double) nDatasets);
}
}
/*Print the average ranking per algorithm*/
out += "\n\nAverage ranks obtained by applying the Friedman procedure\n\n";
out +=
"\\begin{table}[!htp]\n"
+ "\\centering\n"
+ "\\begin{tabular}{|c|c|}\\hline\n"
+ "Algorithm&Ranking\\\\\\hline\n";
for (i = 0; i < algorithmName.length; i++) {
out += (String) algorithmName[i] + " & " + nf4.format(Rj[i]) + "\\\\\n";
}
out += "\\hline\n\\end{tabular}\n\\caption{Average Rankings of the algorithms}\n\\end{table}";
/*Compute the Friedman statistic*/
termino1 =
(12 * (double) nDatasets)
/ ((double) algorithmName.length * ((double) algorithmName.length + 1));
termino2 =
(double) algorithmName.length
* ((double) algorithmName.length + 1)
* ((double) algorithmName.length + 1)
/ (4.0);
for (i = 0; i < algorithmName.length; i++) {
sumatoria += Rj[i] * Rj[i];
}
friedman = (sumatoria - termino2) * termino1;
out +=
"\n\nFriedman statistic considering reduction performance (distributed according to chi-square with "
+ (algorithmName.length - 1)
+ " degrees of freedom: "
+ nf6.format(friedman)
+ ".\n\n";
double pFriedman;
pFriedman = ChiSq(friedman, (algorithmName.length - 1));
System.out.print("P-value computed by Friedman Test: " + pFriedman + ".\\newline\n\n");
/*Compute the Iman-Davenport statistic*/
if (Iman) {
iman = ((nDatasets - 1) * friedman) / (nDatasets * (algorithmName.length - 1) - friedman);
out +=
"Iman and Davenport statistic considering reduction performance (distributed according to F-distribution with "
+ (algorithmName.length - 1)
+ " and "
+ (algorithmName.length - 1) * (nDatasets - 1)
+ " degrees of freedom: "
+ nf6.format(iman)
+ ".\n\n";
double pIman;
pIman = FishF(iman, (algorithmName.length - 1), (algorithmName.length - 1) * (nDatasets - 1));
System.out.print("P-value computed by Iman and Daveport Test: " + pIman + ".\\newline\n\n");
}
termino3 =
Math.sqrt(
(double) algorithmName.length
* ((double) algorithmName.length + 1)
/ (6.0 * (double) nDatasets));
out += "\n\n\\pagebreak\n\n";
/** ********** NxN COMPARISON ************* */
out += "\\section{Post hoc comparisons}";
out +=
"\n\nResults achieved on post hoc comparisons for $\\alpha = 0.05$, $\\alpha = 0.10$ and adjusted p-values.\n\n";
/*Compute the unadjusted p_i value for each comparison alpha=0.05*/
Pi = new double[(int) combinatoria(2, algorithmName.length)];
ALPHAiHolm = new double[(int) combinatoria(2, algorithmName.length)];
ALPHAiShaffer = new double[(int) combinatoria(2, algorithmName.length)];
ordenAlgoritmos = new String[(int) combinatoria(2, algorithmName.length)];
ordenRankings = new double[(int) combinatoria(2, algorithmName.length)];
order = new int[(int) combinatoria(2, algorithmName.length)];
parejitas = new Relation[(int) combinatoria(2, algorithmName.length)];
T = new Vector<Integer>();
T = trueHShaffer(algorithmName.length);
Tarray = new int[T.size()];
for (i = 0; i < T.size(); i++) {
Tarray[i] = ((Integer) T.elementAt(i)).intValue();
}
Arrays.sort(Tarray);
SE = termino3;
vistos = new boolean[(int) combinatoria(2, algorithmName.length)];
for (i = 0, k = 0; i < algorithmName.length; i++) {
for (j = i + 1; j < algorithmName.length; j++, k++) {
ordenRankings[k] = Math.abs(Rj[i] - Rj[j]);
ordenAlgoritmos[k] = (String) algorithmName[i] + " vs. " + (String) algorithmName[j];
parejitas[k] = new Relation(i, j);
}
}
Arrays.fill(vistos, false);
for (i = 0; i < ordenRankings.length; i++) {
for (j = 0; vistos[j] == true; j++) ;
pos = j;
maxVal = ordenRankings[j];
for (j = j + 1; j < ordenRankings.length; j++) {
if (vistos[j] == false && ordenRankings[j] > maxVal) {
pos = j;
maxVal = ordenRankings[j];
}
}
vistos[pos] = true;
order[i] = pos;
}
/*Computing the logically related hypotheses tests (Shaffer and Bergmann-Hommel)*/
pos = 0;
tmp = Tarray.length - 1;
for (i = 0; i < order.length; i++) {
Pi[i] = 2 * CDF_Normal.normp((-1) * Math.abs((ordenRankings[order[i]]) / SE));
ALPHAiHolm[i] = 0.05 / ((double) order.length - (double) i);
ALPHAiShaffer[i] = 0.05 / ((double) order.length - (double) Math.max(pos, i));
if (i == pos && Pi[i] <= ALPHAiShaffer[i]) {
tmp--;
pos = (int) combinatoria(2, algorithmName.length) - Tarray[tmp];
}
}
out += "\\subsection{P-values for $\\alpha=0.05$}\n\n";
int count = 4;
if (Holm) {
count++;
}
if (Scha) {
count++;
}
out +=
"\\begin{table}[!htp]\n\\centering\\scriptsize\n"
+ "\\begin{tabular}{"
+ printC(count)
+ "}\n"
+ "$i$&algorithms&$z=(R_0 - R_i)/SE$&$p$";
if (Holm) {
out += "&Holm";
}
if (Scha) {
out += "&Shaffer";
}
out += "\\\\\n\\hline";
for (i = 0; i < order.length; i++) {
out +=
(order.length - i)
+ "&"
+ ordenAlgoritmos[order[i]]
+ "&"
+ nf6.format(Math.abs((ordenRankings[order[i]]) / SE))
+ "&"
+ nf6.format(Pi[i]);
if (Holm) {
out += "&" + nf6.format(ALPHAiHolm[i]);
}
if (Scha) {
out += "&" + nf6.format(ALPHAiShaffer[i]);
}
out += "\\\\\n";
}
out +=
"\\hline\n"
+ "\\end{tabular}\n\\caption{P-values Table for $\\alpha=0.05$}\n"
+ "\\end{table}";
/*Compute the rejected hipotheses for each test*/
if (Nemenyi) {
out +=
"Nemenyi's procedure rejects those hypotheses that have a p-value $\\le"
+ nf6.format(0.05 / (double) (order.length))
+ "$.\n\n";
}
if (Holm) {
parar = false;
for (i = 0; i < order.length && !parar; i++) {
if (Pi[i] > ALPHAiHolm[i]) {
out +=
"Holm's procedure rejects those hypotheses that have a p-value $\\le"
+ nf6.format(ALPHAiHolm[i])
+ "$.\n\n";
parar = true;
}
}
}
if (Scha) {
parar = false;
for (i = 0; i < order.length && !parar; i++) {
if (Pi[i] <= ALPHAiShaffer[i]) {
out +=
"Shaffer's procedure rejects those hypotheses that have a p-value $\\le"
+ nf6.format(ALPHAiShaffer[i])
+ "$.\n\n";
parar = true;
}
}
}
/*For Bergmann-Hommel's procedure, 9 algorithms could suppose intense computation*/
if (algorithmName.length <= MAX_ALGORITHMS) {
for (i = 0; i < algorithmName.length; i++) {
indices.add(new Integer(i));
}
exhaustiveI = obtainExhaustive(indices);
cuadro = new boolean[algorithmName.length][algorithmName.length];
for (i = 0; i < algorithmName.length; i++) {
Arrays.fill(cuadro[i], false);
}
for (i = 0; i < exhaustiveI.size(); i++) {
minPi =
2
* CDF_Normal.normp(
(-1)
* Math.abs(
Rj[
((Relation)
((Vector<Relation>) exhaustiveI.elementAt(i))
.elementAt(0))
.i]
- Rj[
((Relation)
((Vector<Relation>) exhaustiveI.elementAt(i))
.elementAt(0))
.j])
/ SE);
for (j = 1; j < ((Vector<Relation>) exhaustiveI.elementAt(i)).size(); j++) {
tmpPi =
2
* CDF_Normal.normp(
(-1)
* Math.abs(
Rj[
((Relation)
((Vector<Relation>) exhaustiveI.elementAt(i))
.elementAt(j))
.i]
- Rj[
((Relation)
((Vector<Relation>) exhaustiveI.elementAt(i))
.elementAt(j))
.j])
/ SE);
if (tmpPi < minPi) {
minPi = tmpPi;
}
}
if (minPi > (0.05 / ((double) ((Vector<Relation>) exhaustiveI.elementAt(i)).size()))) {
for (j = 0; j < ((Vector<Relation>) exhaustiveI.elementAt(i)).size(); j++) {
cuadro[((Relation) ((Vector<Relation>) exhaustiveI.elementAt(i)).elementAt(j)).i][
((Relation) ((Vector<Relation>) exhaustiveI.elementAt(i)).elementAt(j)).j] =
true;
}
}
}
if (Berg) {
cad = "";
cad += "Bergmann's procedure rejects these hypotheses:\n\n";
cad += "\\begin{itemize}\n\n";
counter = 0;
for (i = 0; i < cuadro.length; i++) {
for (j = i + 1; j < cuadro.length; j++) {
if (cuadro[i][j] == false) {
cad += "\\item " + algorithmName[i] + " vs. " + algorithmName[j] + "\n\n";
counter++;
}
}
}
cad += "\\end{itemize}\n\n";
if (counter > 0) {
out += cad;
} else {
out += "Bergmann's procedure does not reject any hypotheses.\n\n";
}
}
}
out += "\\pagebreak\n\n";
out += "\\subsection{P-values for $\\alpha=0.10$}\n\n";
/*Compute the unadjusted p_i value for each comparison alpha=0.10*/
Pi = new double[(int) combinatoria(2, algorithmName.length)];
ALPHAiHolm = new double[(int) combinatoria(2, algorithmName.length)];
ALPHAiShaffer = new double[(int) combinatoria(2, algorithmName.length)];
ordenAlgoritmos = new String[(int) combinatoria(2, algorithmName.length)];
ordenRankings = new double[(int) combinatoria(2, algorithmName.length)];
order = new int[(int) combinatoria(2, algorithmName.length)];
SE = termino3;
vistos = new boolean[(int) combinatoria(2, algorithmName.length)];
for (i = 0, k = 0; i < algorithmName.length; i++) {
for (j = i + 1; j < algorithmName.length; j++, k++) {
ordenRankings[k] = Math.abs(Rj[i] - Rj[j]);
ordenAlgoritmos[k] = (String) algorithmName[i] + " vs. " + (String) algorithmName[j];
}
}
Arrays.fill(vistos, false);
for (i = 0; i < ordenRankings.length; i++) {
for (j = 0; vistos[j] == true; j++) ;
pos = j;
maxVal = ordenRankings[j];
for (j = j + 1; j < ordenRankings.length; j++) {
if (vistos[j] == false && ordenRankings[j] > maxVal) {
pos = j;
maxVal = ordenRankings[j];
}
}
vistos[pos] = true;
order[i] = pos;
}
/*Computing the logically related hypotheses tests (Shaffer and Bergmann-Hommel)*/
pos = 0;
tmp = Tarray.length - 1;
for (i = 0; i < order.length; i++) {
Pi[i] = 2 * CDF_Normal.normp((-1) * Math.abs((ordenRankings[order[i]]) / SE));
ALPHAiHolm[i] = 0.1 / ((double) order.length - (double) i);
ALPHAiShaffer[i] = 0.1 / ((double) order.length - (double) Math.max(pos, i));
if (i == pos && Pi[i] <= ALPHAiShaffer[i]) {
tmp--;
pos = (int) combinatoria(2, algorithmName.length) - Tarray[tmp];
}
}
count = 4;
if (Holm) {
count++;
}
if (Scha) {
count++;
}
out +=
"\\begin{table}[!htp]\n\\centering\\scriptsize\n"
+ "\\begin{tabular}{"
+ printC(count)
+ "}\n"
+ "$i$&algorithms&$z=(R_0 - R_i)/SE$&$p$";
if (Holm) {
out += "&Holm";
}
if (Scha) {
out += "&Shaffer";
}
out += "\\\\\n\\hline";
for (i = 0; i < order.length; i++) {
out +=
(order.length - i)
+ "&"
+ ordenAlgoritmos[order[i]]
+ "&"
+ nf6.format(Math.abs((ordenRankings[order[i]]) / SE))
+ "&"
+ nf6.format(Pi[i]);
if (Holm) {
out += "&" + nf6.format(ALPHAiHolm[i]);
}
if (Scha) {
out += "&" + nf6.format(ALPHAiShaffer[i]);
}
out += "\\\\\n";
}
out +=
"\\hline\n"
+ "\\end{tabular}\n\\caption{P-values Table for $\\alpha=0.10$}\n"
+ "\\end{table}";
/*Compute the rejected hipotheses for each test*/
if (Nemenyi) {
out +=
"Nemenyi's procedure rejects those hypotheses that have a p-value $\\le"
+ nf6.format(0.10 / (double) (order.length))
+ "$.\n\n";
}
if (Holm) {
parar = false;
for (i = 0; i < order.length && !parar; i++) {
if (Pi[i] > ALPHAiHolm[i]) {
out +=
"Holm's procedure rejects those hypotheses that have a p-value $\\le"
+ nf6.format(ALPHAiHolm[i])
+ "$.\n\n";
parar = true;
}
}
}
if (Scha) {
parar = false;
for (i = 0; i < order.length && !parar; i++) {
if (Pi[i] <= ALPHAiShaffer[i]) {
out +=
"Shaffer's procedure rejects those hypotheses that have a p-value $\\le"
+ nf6.format(ALPHAiShaffer[i])
+ "$.\n\n";
parar = true;
}
}
}
/*For Bergmann-Hommel's procedure, 9 algorithms could suppose intense computation*/
if (algorithmName.length <= MAX_ALGORITHMS) {
indices.removeAllElements();
for (i = 0; i < algorithmName.length; i++) {
indices.add(new Integer(i));
}
exhaustiveI = obtainExhaustive(indices);
cuadro = new boolean[algorithmName.length][algorithmName.length];
for (i = 0; i < algorithmName.length; i++) {
Arrays.fill(cuadro[i], false);
}
for (i = 0; i < exhaustiveI.size(); i++) {
minPi =
2
* CDF_Normal.normp(
(-1)
* Math.abs(
Rj[
((Relation)
((Vector<Relation>) exhaustiveI.elementAt(i))
.elementAt(0))
.i]
- Rj[
((Relation)
((Vector<Relation>) exhaustiveI.elementAt(i))
.elementAt(0))
.j])
/ SE);
for (j = 1; j < ((Vector<Relation>) exhaustiveI.elementAt(i)).size(); j++) {
tmpPi =
2
* CDF_Normal.normp(
(-1)
* Math.abs(
Rj[
((Relation)
((Vector<Relation>) exhaustiveI.elementAt(i))
.elementAt(j))
.i]
- Rj[
((Relation)
((Vector<Relation>) exhaustiveI.elementAt(i))
.elementAt(j))
.j])
/ SE);
if (tmpPi < minPi) {
minPi = tmpPi;
}
}
if (minPi > 0.1 / ((double) ((Vector<Relation>) exhaustiveI.elementAt(i)).size())) {
for (j = 0; j < ((Vector<Relation>) exhaustiveI.elementAt(i)).size(); j++) {
cuadro[((Relation) ((Vector<Relation>) exhaustiveI.elementAt(i)).elementAt(j)).i][
((Relation) ((Vector<Relation>) exhaustiveI.elementAt(i)).elementAt(j)).j] =
true;
}
}
}
if (Berg) {
cad = "";
cad += "Bergmann's procedure rejects these hypotheses:\n\n";
cad += "\\begin{itemize}\n\n";
counter = 0;
for (i = 0; i < cuadro.length; i++) {
for (j = i + 1; j < cuadro.length; j++) {
if (cuadro[i][j] == false) {
cad += "\\item " + algorithmName[i] + " vs. " + algorithmName[j] + "\n\n";
counter++;
}
}
}
cad += "\\end{itemize}\n\n";
if (counter > 0) {
out += cad;
} else {
out += "Bergmann's procedure does not reject any hypotheses.\n\n";
}
}
}
out += "\\pagebreak\n\n";
/** ********** ADJUSTED P-VALUES NxN COMPARISON ************* */
out += "\\subsection{Adjusted p-values}\n\n";
adjustedP = new double[Pi.length][4];
pos = 0;
tmp = Tarray.length - 1;
for (i = 0; i < adjustedP.length; i++) {
adjustedP[i][0] = Pi[i] * (double) (adjustedP.length);
adjustedP[i][1] = Pi[i] * (double) (adjustedP.length - i);
adjustedP[i][2] = Pi[i] * ((double) adjustedP.length - (double) Math.max(pos, i));
if (i == pos) {
tmp--;
pos = (int) combinatoria(2, algorithmName.length) - Tarray[tmp];
}
if (algorithmName.length <= MAX_ALGORITHMS) {
maxAPi = Double.MIN_VALUE;
minPi = Double.MAX_VALUE;
for (j = 0; j < exhaustiveI.size(); j++) {
if (exhaustiveI.elementAt(j).toString().contains(parejitas[order[i]].toString())) {
minPi =
2
* CDF_Normal.normp(
(-1)
* Math.abs(
Rj[
((Relation)
((Vector<Relation>) exhaustiveI.elementAt(j))
.elementAt(0))
.i]
- Rj[
((Relation)
((Vector<Relation>) exhaustiveI.elementAt(j))
.elementAt(0))
.j])
/ SE);
for (k = 1; k < ((Vector<Relation>) exhaustiveI.elementAt(j)).size(); k++) {
tmpPi =
2
* CDF_Normal.normp(
(-1)
* Math.abs(
Rj[
((Relation)
((Vector<Relation>) exhaustiveI.elementAt(j))
.elementAt(k))
.i]
- Rj[
((Relation)
((Vector<Relation>) exhaustiveI.elementAt(j))
.elementAt(k))
.j])
/ SE);
if (tmpPi < minPi) {
minPi = tmpPi;
}
}
tmpAPi = minPi * (double) (((Vector<Relation>) exhaustiveI.elementAt(j)).size());
if (tmpAPi > maxAPi) {
maxAPi = tmpAPi;
}
}
}
adjustedP[i][3] = maxAPi;
}
}
for (i = 1; i < adjustedP.length; i++) {
if (adjustedP[i][1] < adjustedP[i - 1][1]) adjustedP[i][1] = adjustedP[i - 1][1];
if (adjustedP[i][2] < adjustedP[i - 1][2]) adjustedP[i][2] = adjustedP[i - 1][2];
if (adjustedP[i][3] < adjustedP[i - 1][3]) adjustedP[i][3] = adjustedP[i - 1][3];
}
count = 3;
if (Nemenyi) {
count++;
}
if (Holm) {
count++;
}
if (Scha) {
count++;
}
if (Berg) {
count++;
}
out +=
"\\begin{table}[!htp]\n\\centering\\scriptsize\n"
+ "\\begin{tabular}{"
+ printC(count)
+ "}\n"
+ "i&hypothesis&unadjusted $p$";
if (Nemenyi) {
out += "&$p_{Neme}$";
}
if (Holm) {
out += "&$p_{Holm}$";
}
if (Scha) {
out += "&$p_{Shaf}$";
}
if (Berg) {
out += "&$p_{Berg}$";
}
out += "\\\\\n\\hline";
for (i = 0; i < Pi.length; i++) {
out +=
(i + 1)
+ "&"
+ algorithmName[parejitas[order[i]].i]
+ " vs ."
+ algorithmName[parejitas[order[i]].j]
+ "&"
+ nf6.format(Pi[i]);
if (Nemenyi) {
out += "&" + nf6.format(adjustedP[i][0]);
}
if (Holm) {
out += "&" + nf6.format(adjustedP[i][1]);
}
if (Scha) {
out += "&" + nf6.format(adjustedP[i][2]);
}
if (Berg) {
out += "&" + nf6.format(adjustedP[i][3]);
}
out += "\\\\\n";
}
out += "\\hline\n" + "\\end{tabular}\n\\caption{Adjusted $p$-values}\n" + "\\end{table}\n\n";
out += "\\end{landscape}\n\\end{document}";
return out;
} // end-method