// Calculates Gamma values
private static void calculatePolyPi(double[] dj, double[,] prov, double[,] prov1, double[,] prov2, double[,] prov3, double[] v, int i)
{
double[] Gammaj = new double[dj.Length];
double[] dGammaj = new double[dj.Length];
double[] d2Gammaj = new double[dj.Length];
double[] d3Gammaj = new double[dj.Length];
for (int c = 0; c < dj.Length; c++)
{
Gammaj[c] = Math.Exp(dj[c]);
dGammaj[c] = Gammaj[c] * v[c];
d2Gammaj[c] = Gammaj[c] * Math.Pow(v[c], 2);
d3Gammaj[c] = Gammaj[c] * Math.Pow(v[c], 3);
}
double Sg = RowColumn.Sum(Gammaj);
double Sdg = RowColumn.Sum(dGammaj);
double Sd2g = RowColumn.Sum(d2Gammaj);
double Sd3g = RowColumn.Sum(d3Gammaj);
for (int index = 0; index < Gammaj.Length; index++)
{
prov[i, index] = Gammaj[index] / Sg;
prov1[i, index] = dGammaj[index] / Sg - Gammaj[index] * Sdg / Math.Pow(Sg, 2);
prov2[i, index] = d2Gammaj[index] / Sg - 2 * dGammaj[index] * Sdg / Math.Pow(Sg, 2) - Gammaj[index] *
Sd2g / Math.Pow(Sg, 2) + 2 * Gammaj[index] * Math.Pow(Sdg, 2) / Math.Pow(Sg, 3);
prov3[i, index] = d3Gammaj[index] / Sg - (Gammaj[index] * Sd3g + 3 * dGammaj[index] * Sd2g + 3 * d2Gammaj[index] * Sdg) / Math.Pow(Sg, 2) +
(6 * Gammaj[index] * Sdg * Sd2g + 6 * dGammaj[index] * Math.Pow(Sdg, 2)) / Math.Pow(Sg, 3) - 6 * Gammaj[index] * Math.Pow(Sdg, 3) / Math.Pow(Sg, 4);
}
}
// Function for calculating Next Item
public static NextItemModel NextItem_Calc(CATItems itemBank, string model = null, double theta = 0, int[] Out = null, int[] x = null, int criterion = 5, /* MFI */ string method = "BM",
string priorDist = "norm", double[] priorPar = null, double D = 1, double[] range = null, int[] parInt = null, int infoType = 2, /* observed */ int randomesque = 1, int rule = 1, /* Length */
double thr = 20, double?SETH = null, double AP = 1, int[] nAvailable = null, int maxItems = 50, CBControlList cbControl = null, string[] cbGroup = null)
{
CATItems par = null;
NextItemModel result = null;
#region "Parameter Validation"
if (priorPar == null || priorPar.Length < 2)
{
priorPar = new double[2];
priorPar[0] = 0;
priorPar[1] = 1;
}
if (range == null || range.Length < 2)
{
range = new double[2];
range[0] = -4;
range[1] = 4;
}
if (parInt == null || parInt.Length < 3)
{
parInt = new int[3];
parInt[0] = -4;
parInt[1] = 4;
parInt[2] = 33;
}
ModelNames.CriterionTypes?crit = null;
switch (criterion)
{
case (int)ModelNames.CriterionTypes.bOpt:
crit = ModelNames.CriterionTypes.bOpt;
break;
case (int)ModelNames.CriterionTypes.thOpt:
crit = ModelNames.CriterionTypes.thOpt;
break;
case (int)ModelNames.CriterionTypes.KL:
crit = ModelNames.CriterionTypes.KL;
break;
case (int)ModelNames.CriterionTypes.KLP:
crit = ModelNames.CriterionTypes.KLP;
break;
case (int)ModelNames.CriterionTypes.MEI:
crit = ModelNames.CriterionTypes.MEI;
break;
case (int)ModelNames.CriterionTypes.MEPV:
crit = ModelNames.CriterionTypes.MEPV;
break;
case (int)ModelNames.CriterionTypes.MFI:
crit = ModelNames.CriterionTypes.MFI;
break;
case (int)ModelNames.CriterionTypes.MLWI:
crit = ModelNames.CriterionTypes.MLWI;
break;
case (int)ModelNames.CriterionTypes.MPWI:
crit = ModelNames.CriterionTypes.MPWI;
break;
case (int)ModelNames.CriterionTypes.progressive:
crit = ModelNames.CriterionTypes.progressive;
break;
case (int)ModelNames.CriterionTypes.proportional:
crit = ModelNames.CriterionTypes.proportional;
break;
case (int)ModelNames.CriterionTypes.random:
crit = ModelNames.CriterionTypes.random;
break;
}
if (crit == null)
{
result = new NextItemModel(true, "Invalid 'criterion' name!");
return(result);
}
int mod = 0;
ModelNames.Models modelEnum = ModelNames.StringToEnum(model);
if (!String.IsNullOrEmpty(model))
{
switch (modelEnum)
{
case ModelNames.Models.GRM:
mod = 1;
break;
case ModelNames.Models.MGRM:
mod = 2;
break;
case ModelNames.Models.PCM:
mod = 3;
break;
case ModelNames.Models.GPCM:
mod = 4;
break;
case ModelNames.Models.RSM:
mod = 5;
break;
case ModelNames.Models.NRM:
mod = 6;
break;
}
if (mod == 0)
{
result = new NextItemModel(true, "Invalid 'model' type!");
return(result);
}
}
#endregion
int[] OUT = null;
double[] empProp = null;
int nrGroup = 0;
double[] thProp = null;
#region Handling "cbControl" Parameter
if (cbControl == null)
{
OUT = Out;
}
else
{
if (cbGroup == null)
{
result = new NextItemModel(true, "'cbGroup' argument must be provided for content balancing!");
return(result);
}
if (RowColumn.Sum(cbControl.Props) != 1)
{
double temp_sum = RowColumn.Sum(cbControl.Props);
for (int i = 0; i < cbControl.Props.Length; i++)
{
cbControl.Props[i] = cbControl.Props[i] / temp_sum;
}
}
nrGroup = cbControl.Names.Length;
empProp = new double[nrGroup];
if (Out == null)
{
empProp = CatRcs.Utils.CommonHelper.Replicate(new double[] { 0 }, nrGroup);
}
else
{
string[] temp_grp = new string[Out.Length];
for (int i = 0; i < Out.Length; i++)
{
temp_grp[i] = cbGroup[Out[i]];
}
for (int j = 0; j < nrGroup; j++)
{
string[] values = temp_grp.Where(m => m == cbControl.Names[j]).ToArray();
if (values != null && values.Length > 0)
{
empProp[j] = values.Length;
}
else
{
empProp[j] = 0;
}
}
empProp = empProp.Select(n => n / CatRcs.Utils.RowColumn.Sum(empProp)).ToArray(); // Functional Testing needed !!
}
thProp = cbControl.Props;
List <int> indGroup = new List <int>(); int selGroup = 0;
// Array of Group Numbers ex: "1 2 3 4 5" for nrGroup = 5.
int[] GrpIndValues = new int[nrGroup];
GrpIndValues = GrpIndValues.Select((a, i) => i + 1).ToArray();
if (empProp.Min() == 0)
{
for (int m = 0; m < empProp.Length; m++)
{
if (empProp[m] == 0)
{
indGroup.Add(GrpIndValues[m]);
}
}
}
else
{
double[] tempProp = thProp.Select((a, i) => a - empProp[i]).ToArray();
for (int n = 0; n < tempProp.Length; n++)
{
if (tempProp[n] == tempProp.Max())
{
indGroup.Add(GrpIndValues[n]);
}
}
}
if (indGroup.Count == 1)
{
selGroup = indGroup[0];
}
else
{
selGroup = CatRcs.Utils.RandomNumberHandler.Sample(indGroup.ToArray(), 1, false)[0];
}
// Populating the OUT array
string[] tempGrp = cbGroup.Where(c => c != cbControl.Names[selGroup]).ToArray();
OUT = tempGrp.Select((a, i) => i + 1).ToArray();
OUT = Out.Concat(OUT).ToArray();
OUT = CatRcs.Utils.CommonHelper.Unique(OUT);
}
#endregion
#region Handling "nAvalilable Parameter"
if (nAvailable != null)
{
List <int> ind_temp = new List <int>();
for (int k = 0; k < nAvailable.Length; k++)
{
if (nAvailable[k] == 0)
{
ind_temp.Add(k);
}
}
OUT = OUT.Concat(ind_temp.ToArray()).ToArray();
OUT = CatRcs.Utils.CommonHelper.Unique(OUT);
}
#endregion
int select = 0;
#region Criterion Type "MFI"
if (crit == ModelNames.CriterionTypes.MFI)
{
int[] items = CatRcs.Utils.CommonHelper.Replicate(new int[] { 1 }, itemBank.NumOfItems);
if (OUT != null)
{
for (int a = 0; a < OUT.Length; a++)
{
items[OUT[a] - 1] = 0;
}
}
double[] info = Ii.Ii_Calc(theta, itemBank, model, D).Ii;
double[] ranks = CatRcs.Utils.CommonHelper.Rank(info).Select(m => m).ToArray();
int nrIt = new int[] { randomesque, (int)CatRcs.Utils.RowColumn.Sum(items) }.Min();
List <double> tempRanks = new List <double>();
for (int j = 0; j < items.Length; j++)
{
if (items[j] == 1)
{
tempRanks.Add(ranks[j]);
}
}
tempRanks = tempRanks.OrderByDescending(n => n).ToList();
double[] keepRank = tempRanks.GetRange(0, nrIt).ToArray();
List <int> keep = new List <int>();
if (ranks.Length == items.Length)
{
for (int m = 0; m < keepRank.Length; m++)
{
for (int n = 0; n < ranks.Length; n++)
{
if ((items[n] == 1) && (ranks[n] == keepRank[m]))
{
keep.Add(n + 1);
}
}
}
}
if (keep.Count == 1)
{
select = keep[0];
}
else
{
select = CatRcs.Utils.RandomNumberHandler.Sample(keep.ToArray(), 1, false)[0];
}
result = new NextItemModel(select, itemBank.FindItem(select), info[select - 1], criterion, randomesque);
}
#endregion
#region Criterion Type "bOpt"
if (crit == ModelNames.CriterionTypes.bOpt)
{
if (string.IsNullOrEmpty(model))
{
int[] items = CatRcs.Utils.CommonHelper.Replicate(new int[] { 1 }, itemBank.NumOfItems);
if (OUT != null)
{
for (int a = 0; a < OUT.Length; a++)
{
items[OUT[a] - 1] = 0;
}
}
double[] distance = itemBank.GetItemParamter(CATItems.ColumnNames.b).Select(a => Math.Abs(a - theta)).ToArray();
double[] ranks = CatRcs.Utils.CommonHelper.Rank(distance).Select(m => m).ToArray();
if (OUT != null)
{
for (int a = 0; a < OUT.Length; a++)
{
ranks[OUT[a] - 1] = -1;
}
}
int nrIt = new int[] { randomesque, (int)CatRcs.Utils.RowColumn.Sum(items) }.Min();
List <double> tempRanks = new List <double>();
for (int j = 0; j < items.Length; j++)
{
if (items[j] == 1)
{
tempRanks.Add(ranks[j]);
}
}
tempRanks = tempRanks.OrderBy(n => n).ToList();
double[] keepRank = tempRanks.GetRange(0, nrIt).ToArray();
keepRank = keepRank.Distinct().ToArray();
List <int> keep = new List <int>();
if (ranks.Length == items.Length)
{
for (int m = 0; m < keepRank.Length; m++)
{
for (int n = 0; n < ranks.Length; n++)
{
if ((items[n] == 1) && (ranks[n] == keepRank[m]))
{
keep.Add(n + 1);
}
}
}
}
if (keep.Count == 1)
{
select = keep[0];
}
else
{
select = CatRcs.Utils.RandomNumberHandler.Sample(keep.ToArray(), 1, false)[0];
}
result = new NextItemModel(select, itemBank.FindItem(select), distance[select - 1], criterion, randomesque);
}
else
{
result = new NextItemModel(true, "bOpt's rule cannot be considered with polytomous items!");
return(result);
}
}
#endregion
#region Criterion Type "MLWI" OR "MPWI"
if (crit == ModelNames.CriterionTypes.MLWI || crit == ModelNames.CriterionTypes.MPWI)
{
if (Out != null)
{
if (Out.Length == 1)
{
par = itemBank.FindItem(Out[0]);
}
else
{
par = itemBank.FindItem(Out);
}
}
else
{
result = new NextItemModel(true, "Out parameter can't be empty!");
return(result);
}
int[] items = CatRcs.Utils.CommonHelper.Replicate(new int[] { 1 }, itemBank.NumOfItems);
if (OUT != null)
{
for (int a = 0; a < OUT.Length; a++)
{
items[OUT[a] - 1] = 0;
}
}
double[] likInfo = CatRcs.Utils.CommonHelper.Replicate(new double[] { 0 }, itemBank.NumOfItems);
int mwiType = 0;
if (criterion == (int)ModelNames.CriterionTypes.MLWI)
{
mwiType = (int)ModelNames.MWI_Type.MLWI;
}
if (criterion == (int)ModelNames.CriterionTypes.MPWI)
{
mwiType = (int)ModelNames.MWI_Type.MPWI;
}
if (x != null)
{
for (int j = 0; j < itemBank.NumOfItems; j++)
{
if (items[j] == 1)
{
likInfo[j] = MWI.MWI_Calc(itemBank, j + 1, x, par, model, mwiType, priorPar, D, priorDist, parInt[0], parInt[1], parInt[2]);
/* item number is always 1 greater than the index */
}
}
}
int nrIt = new int[] { randomesque, (int)CatRcs.Utils.RowColumn.Sum(items) }.Min();
double likVal = likInfo.ToList().OrderByDescending(n => n).ToArray()[nrIt - 1]; // First value with index 0
List <int> keep = new List <int>();
for (int k = 0; k < items.Length; k++)
{
if (likInfo[k] >= likVal)
{
keep.Add(k + 1); // Converting from index to item number
}
}
if (keep.Count == 1)
{
select = keep[0];
}
else
{
select = CatRcs.Utils.RandomNumberHandler.Sample(keep.ToArray(), 1, false)[0];
}
result = new NextItemModel(select, itemBank.FindItem(select), likInfo[select - 1], criterion, randomesque);
}
#endregion
#region Criterion Type "KL" OR "KLP"
if (crit == ModelNames.CriterionTypes.KL || crit == ModelNames.CriterionTypes.KLP)
{
if (Out != null)
{
if (Out.Length == 1)
{
par = itemBank.FindItem(Out[0]);
}
else
{
par = itemBank.FindItem(Out);
}
}
else
{
result = new NextItemModel(true, "Out parameter can't be empty!");
return(result);
}
int[] items = CatRcs.Utils.CommonHelper.Replicate(new int[] { 1 }, itemBank.NumOfItems);
if (OUT != null)
{
for (int a = 0; a < OUT.Length; a++)
{
items[OUT[a] - 1] = 0;
}
}
double[] klValue = CatRcs.Utils.CommonHelper.Replicate(new double[] { 0 }, itemBank.NumOfItems);
double[] X = CatRcs.Utils.CommonHelper.Sequence(parInt[0], parInt[1], parInt[2]);
#region "Function 'L' "
Func <double, int[], CATItems, double> L = (th, r, param) =>
{
double res = 0;
var temp_1 = Pi.Pi_Calc(th, param, model, D).Pi.Select((p, i) => Math.Pow(p, r[i])).ToArray();
var temp_2 = Pi.Pi_Calc(th, param, model, D).Pi.Select((p, i) => Math.Pow(1 - p, 1 - r[i])).ToArray();
if (temp_1.Length == temp_2.Length)
{
var temp_3 = temp_1.Select((p, i) => p * temp_2[i]).ToArray();
res = temp_3.Aggregate((acc, val) => acc * val);
}
return(res);
};
#endregion
#region "Function 'LL' "
Func <double, int[], CATItems, double> LL = (th, r, param) =>
{
double res = 0;
if (param.NumOfItems == 0)
{
res = 1;
}
else
{
double[,] prob = Pi.Pi_Poly_Calc(th, param, model, D).Pi;
for (int i = 0; i < r.Length; i++)
{
res = res * prob[i, r[i] + 1];
}
}
return(res);
};
#endregion
double[] LF = null;
if (string.IsNullOrEmpty(model))
{
LF = X.Select(p => L(p, x, par)).ToArray();
}
else
{
LF = X.Select(p => LL(p, x, par)).ToArray();
}
int kType = 0;
if (criterion == (int)ModelNames.CriterionTypes.KL)
{
kType = (int)ModelNames.KLTypes.KL;
}
if (criterion == (int)ModelNames.CriterionTypes.KLP)
{
kType = (int)ModelNames.KLTypes.KLP;
}
for (int j = 0; j < itemBank.NumOfItems; j++)
{
if (items[j] == 1)
{
klValue[j] = KL.KL_Calc(itemBank, j + 1, x, par, model, theta, priorPar, X, LF, kType, D, priorDist, parInt[0], parInt[1], parInt[2]);
/* item number is always 1 greater than the index */
}
}
int nrIt = new int[] { randomesque, (int)CatRcs.Utils.RowColumn.Sum(items) }.Min();
double klVal = klValue.ToList().OrderByDescending(n => n).ToArray()[nrIt - 1];
List <int> keep = new List <int>();
for (int k = 0; k < items.Length; k++)
{
if (klValue[k] >= klVal)
{
keep.Add(k + 1);
}
}
if (keep.Count == 1)
{
select = keep[0];
}
else
{
select = CatRcs.Utils.RandomNumberHandler.Sample(keep.ToArray(), 1, false)[0];
}
result = new NextItemModel(select, itemBank.FindItem(select), klValue[select - 1], criterion, randomesque);
}
#endregion
#region Criterion Type "MEI"
if (crit == ModelNames.CriterionTypes.MEI)
{
int[] items = CatRcs.Utils.CommonHelper.Replicate(new int[] { 1 }, itemBank.NumOfItems);
if (OUT != null)
{
for (int a = 0; a < OUT.Length; a++)
{
items[OUT[a] - 1] = 0;
}
}
double[] infos = CatRcs.Utils.CommonHelper.Replicate(new double[] { 0 }, itemBank.NumOfItems);
for (int j = 0; j < items.Length; j++)
{
if (items[j] > 0)
{
infos[j] = MEI.MEI_Calc(itemBank, j + 1, x, theta, itemBank.FindItem(Out), model, method, D, priorPar, priorDist, range, parInt, infoType);
}
}
int nrIt = new int[] { randomesque, (int)CatRcs.Utils.RowColumn.Sum(items) }.Min();
double infoVal = infos.ToList().OrderByDescending(n => n).ToArray()[nrIt - 1];
List <int> keep = new List <int>();
for (int k = 0; k < items.Length; k++)
{
if (infos[k] >= infoVal)
{
keep.Add(k + 1);
}
}
if (keep.Count == 1)
{
select = keep[0];
}
else
{
select = CatRcs.Utils.RandomNumberHandler.Sample(keep.ToArray(), 1, false)[0];
}
result = new NextItemModel(select, itemBank.FindItem(select), infos[select - 1], criterion, randomesque);
}
#endregion
#region Criterion Type "MEPV"
if (crit == ModelNames.CriterionTypes.MEPV)
{
int[] items = CatRcs.Utils.CommonHelper.Replicate(new int[] { 1 }, itemBank.NumOfItems);
if (OUT != null)
{
for (int a = 0; a < OUT.Length; a++)
{
items[OUT[a] - 1] = 0;
}
}
double[] epvs = CatRcs.Utils.CommonHelper.Replicate(new double[] { 1000 }, itemBank.NumOfItems);
for (int j = 0; j < items.Length; j++)
{
if (items[j] > 0)
{
epvs[j] = EPV.EPV_Calc(itemBank, j + 1, x, theta, itemBank.FindItem(Out), model, priorPar, parInt, D, priorDist);
}
}
var tempVal = new int[] { randomesque, items.Sum() }.Min();
double epVal = epvs.ToList().OrderBy(n => n).ToArray()[tempVal - 1];
List <int> keep = new List <int>();
for (int k = 0; k < itemBank.NumOfItems; k++)
{
if (epvs[k] <= epVal)
{
keep.Add(k + 1);
}
}
if (keep.Count == 1)
{
select = keep[0];
}
else
{
select = CatRcs.Utils.RandomNumberHandler.Sample(keep.ToArray(), 1, false)[0];
}
result = new NextItemModel(select, itemBank.FindItem(select), epvs[select - 1], criterion, randomesque);
}
#endregion
#region Criterion Type "random"
if (crit == ModelNames.CriterionTypes.random)
{
int[] items = CatRcs.Utils.CommonHelper.Replicate(new int[] { 1 }, itemBank.NumOfItems);
if (OUT != null)
{
for (int a = 0; a < OUT.Length; a++)
{
items[OUT[a]] = 0;
}
}
int gen = Convert.ToInt32(Convert.ToInt32(CatRcs.Utils.RandomNumberHandler.Runif(1, 0, 1)[0]) * items.Sum()) + 1;
List <int> indexs = new List <int>();
for (int k = 0; k < itemBank.NumOfItems; k++)
{
if (items[k] > 0)
{
indexs.Add(k + 1);
}
}
select = indexs.ElementAt(gen);
result = new NextItemModel(select, itemBank.FindItem(select), double.NaN, criterion, randomesque);
}
#endregion
#region Criterion Type "progressive"
if (crit == ModelNames.CriterionTypes.progressive)
{
int item_administered = Out.Length;
int[] items = CatRcs.Utils.CommonHelper.Replicate(new int[] { 1 }, itemBank.NumOfItems);
if (OUT != null)
{
for (int a = 0; a < OUT.Length; a++)
{
items[OUT[a] - 1] = 0;
}
}
double[] info = Ii.Ii_Calc(theta, itemBank, model, D).Ii;
List <double> tempItems = new List <double>();
for (int j = 0; j < items.Length; j++)
{
if (items[j] == 1)
{
tempItems.Add(info[j]);
}
}
double wq = 0;
double itemMaxInfo = tempItems.Max();
double[] randomValues = CatRcs.Utils.RandomNumberHandler.Runif(items.Length, 0, itemMaxInfo);
if (rule == (int)ModelNames.RuleType.Precision)
{
double infostop = Math.Pow((1 / thr), 2);
double cuminfo = Math.Pow(double.Parse((1 / SETH).ToString()), 2);
if (item_administered > 0)
{
wq = Math.Pow(new double[] { cuminfo / infostop, item_administered / (maxItems - 1) }.Max(), AP);
}
}
if (rule == (int)ModelNames.RuleType.Length)
{
if (item_administered > 0)
{
List <double> tempNum = new List <double>();
for (int i = 1; i <= item_administered; i++)
{
tempNum.Add(Math.Pow(i, AP));
}
double numerador = tempNum.Sum();
List <double> tempDenom = new List <double>();
for (int j = 1; j <= thr - 1; j++)
{
tempDenom.Add(Math.Pow(j, AP));
}
double denominador = tempDenom.Sum();
wq = numerador / denominador;
}
}
double[] funcPR = info.Select((d, i) => d * wq + randomValues[i] * (1 - wq)).ToArray();
if (OUT != null)
{
for (int a = 0; a < OUT.Length; a++)
{
funcPR[OUT[a] - 1] = 0;
}
}
List <int> keep = new List <int>();
for (int k = 0; k < funcPR.Length; k++)
{
if (funcPR[k] == funcPR.Max())
{
keep.Add(k + 1);
}
}
if (keep.Count == 1)
{
select = keep[0];
}
else
{
select = CatRcs.Utils.RandomNumberHandler.Sample(keep.ToArray(), 1, false)[0];
}
result = new NextItemModel(select, itemBank.FindItem(select), info[select - 1], criterion, randomesque);
}
#endregion
#region Criterion Type "proportional"
if (crit == ModelNames.CriterionTypes.proportional)
{
int item_administered = Out.Length;
int[] items = CatRcs.Utils.CommonHelper.Replicate(new int[] { 1 }, itemBank.NumOfItems);
if (OUT != null)
{
for (int a = 0; a < OUT.Length; a++)
{
items[OUT[a] - 1] = 0;
}
}
double wq = 0;
if (rule == (int)ModelNames.RuleType.Precision)
{
double infostop = Math.Pow((1 / thr), 2);
double cuminfo = Math.Pow(double.Parse((1 / SETH).ToString()), 2);
if (item_administered > 0)
{
wq = infostop * Math.Pow(new double[] { cuminfo / infostop, item_administered / (maxItems - 1) }.Max(), AP);
}
}
if (rule == (int)ModelNames.RuleType.Length)
{
if (item_administered > 0)
{
List <double> tempNum = new List <double>();
for (int i = 1; i <= item_administered; i++)
{
tempNum.Add(Math.Pow(i, AP));
}
double numerador = tempNum.Sum();
List <double> tempDenom = new List <double>();
for (int j = 1; j <= thr - 1; j++)
{
tempDenom.Add(Math.Pow(j, AP));
}
double denominador = tempDenom.Sum();
wq = thr * numerador / denominador;
}
}
double[] info = Ii.Ii_Calc(theta, itemBank, model, D).Ii;
double[] infoPR = info.Select(s => Math.Pow(s, wq)).ToArray();
if (OUT != null)
{
for (int a = 0; a < OUT.Length; a++)
{
infoPR[OUT[a] - 1] = 0;
}
}
List <double> tempInfoPR = new List <double>();
for (int k = 0; k < items.Length; k++)
{
if (items[k] == 1)
{
tempInfoPR.Add(infoPR[k]);
}
}
double totalInfoPR = tempInfoPR.Sum();
double[] probSelect = infoPR.Select(m => m / totalInfoPR).ToArray();
int[] selectItems = items.Select((n, i) => i + 1).ToArray();
select = CatRcs.Utils.RandomNumberHandler.Sample(selectItems, 1, false)[0]; // prob parameter will be added after Sample functiom modification
result = new NextItemModel(select, itemBank.FindItem(select), info[select], criterion, randomesque);
}
#endregion
#region Criterion Type "thOpt"
if (crit == ModelNames.CriterionTypes.thOpt)
{
if (string.IsNullOrEmpty(model)) // Only for Dichotomous Items
{
int[] items = CatRcs.Utils.CommonHelper.Replicate(new int[] { 1 }, itemBank.NumOfItems);
if (OUT != null)
{
for (int a = 0; a < OUT.Length; a++)
{
items[OUT[a] - 1] = 0;
}
}
double[] u = itemBank.GetItemParamter(CATItems.ColumnNames.c).Select((s, i) => - 0.75 + (s + itemBank.GetItemParamter(CATItems.ColumnNames.d)[i] + -2 * s * itemBank.GetItemParamter(CATItems.ColumnNames.d)[i]) / 2).ToArray();
double[] v = itemBank.GetItemParamter(CATItems.ColumnNames.c).Select((n, i) => (n + itemBank.GetItemParamter(CATItems.ColumnNames.d)[i] - 1) / 4).ToArray();
double[] xstar = u.Select((m, i) => 2 * Math.Sqrt(-m / 3) * Math.Cos(Math.Acos(-v[i] * Math.Sqrt(-27 / Math.Pow(m, 3)) / 2) / 3 + 4 * (Math.PI / 3)) + 0.5).ToArray();
double[] thstar = itemBank.GetItemParamter(CATItems.ColumnNames.b).Select((o, i) => o + Math.Log((xstar[i] - itemBank.GetItemParamter(CATItems.ColumnNames.c)[i]) / (itemBank.GetItemParamter(CATItems.ColumnNames.d)[i] - xstar[i])) / (D * itemBank.GetItemParamter(CATItems.ColumnNames.a)[i])).ToArray();
double[] distance = thstar.Select(p => Math.Abs(p - theta)).ToArray();
double[] ranks = CatRcs.Utils.CommonHelper.Rank(distance).Select(m => m).ToArray();
if (OUT != null)
{
for (int a = 0; a < OUT.Length; a++)
{
ranks[OUT[a] - 1] = -1;
}
}
int nrIt = new int[] { randomesque, (int)CatRcs.Utils.RowColumn.Sum(items) }.Min();
List <double> tempRanks = new List <double>();
for (int j = 0; j < items.Length; j++)
{
if (items[j] == 1)
{
tempRanks.Add(ranks[j]);
}
}
tempRanks = tempRanks.OrderBy(n => n).ToList();
double[] keepRank = tempRanks.GetRange(0, nrIt).ToArray();
keepRank = keepRank.Distinct().ToArray();
List <int> keep = new List <int>();
if (ranks.Length == items.Length)
{
for (int m = 0; m < keepRank.Length; m++)
{
for (int n = 0; n < ranks.Length; n++)
{
if ((items[n] == 1) && (ranks[n] == keepRank[m]))
{
keep.Add(n + 1);
}
}
}
}
if (keep.Count == 1)
{
select = keep[0];
}
else
{
select = CatRcs.Utils.RandomNumberHandler.Sample(keep.ToArray(), 1, false)[0];
}
result = new NextItemModel(select, itemBank.FindItem(select), distance[select - 1], criterion, randomesque);
}
else
{
result = new NextItemModel(true, "thOpt's rule cannot be considered with polytomous items!");
return(result);
}
}
#endregion
#region Handling "cbControl" Parameter
if (cbControl == null)
{
if (result != null)
{
result.prior_prop = null;
result.post_prop = null;
result.cb_prop = null;
}
}
else
{
result.prior_prop = empProp;
double[] postProp = new double[nrGroup];
string[] temp_grp = new string[Out.Length + 1];
for (int i = 0; i < temp_grp.Length; i++)
{
if (i == 0)
{
temp_grp[i] = cbGroup[result.item];
}
temp_grp[i] = cbGroup[Out[i]];
}
for (int j = 0; j < postProp.Length; j++)
{
string[] values = temp_grp.Where(m => m == cbControl.Names[j]).ToArray();
if (values != null && values.Length > 0)
{
postProp[j] = values.Length;
}
else
{
postProp[j] = 0;
}
}
result.post_prop = postProp.Select(n => n / CatRcs.Utils.RowColumn.Sum(postProp)).ToArray();
result.cb_prop = thProp;
}
#endregion
return(result);
}