public static OIiList OIi_Calc(double th, CATItems it, int[] x, string model, double D)
{
OIiList objOIi = null;
double[] OIi = null;
try
{
if (String.IsNullOrEmpty(model))
{
#region "Calculation for Dichotmous Items"
PiList pr = Pi.Pi_Calc(th, it, model, D);
if (pr == null)
{
objOIi = new OIiList();
objOIi.Exception = "No Pi values found!";
return(objOIi);
}
double[] P = pr.Pi; double[] dP = pr.dPi; double[] d2P = pr.d2Pi;
OIi = new double[P.Length];
objOIi = new OIiList(P.Length);
double[] Q = new double[P.Length];
for (int i = 0; i < P.Length; i++)
{
Q[i] = 1 - P[i];
}
for (int j = 0; j < OIi.Length; j++)
{
OIi[j] = (P[j] * Q[j] * Math.Pow(dP[j], 2) - (x[0] - P[j]) * (P[j] * Q[j] * d2P[j] + Math.Pow(dP[j], 2) * (P[j] - Q[j]))) / (Math.Pow(P[j], 2) * Math.Pow(Q[j], 2));
}
#endregion
}
else
{
#region "Calculation for Polytomous Items"
PiListPoly pr = Pi.Pi_Poly_Calc(th, it, model, D);
if (pr == null)
{
objOIi = new OIiList();
objOIi.Exception = "No Pi values found!";
return(objOIi);
}
double[,] P = pr.Pi; double[,] dP = pr.dPi; double[,] d2P = pr.d2Pi;
OIi = new double[it.NumOfItems];
objOIi = new OIiList(it.NumOfItems);
for (int i = 0; i < x.Length; i++)
{
double tempdP = dP[i, x[i]];
double tempP = P[i, x[i]];
double tempd2P = d2P[i, x[i]];
OIi[i] = (Math.Pow(dP[i, x[i]], 2) / Math.Pow(P[i, x[i]], 2)) - (d2P[i, x[i]] / P[i, x[i]]);
}
#endregion
}
objOIi.Add(OIi);
}
catch (Exception ex)
{
if (ex != null)
{
if (objOIi == null)
{
objOIi = new OIiList();
}
objOIi.Exception = "No Pi value found!";
}
return(objOIi);
}
return(objOIi);
}
public void testOIi_P(ModelNames.Models paramModel)
{
REngine.SetEnvironmentVariables();
REngine engineObj = REngine.GetInstance();
// Loading a library from R
engineObj.Evaluate("library(catR)");
// Polytomous Items
CharacterVector modelName = engineObj.CreateCharacterVector(new string[] { paramModel.EnumToString() });
engineObj.SetSymbol("modelName", modelName);
DataFrame PolyItems = engineObj.Evaluate("PolyItems <- genPolyMatrix(10, 5, model = modelName, same.nrCat = TRUE)").AsDataFrame();
engineObj.SetSymbol("PolyItems", PolyItems);
// Adapting with the existing "CAT-Items" type (Wrapper)
Console.WriteLine("*******************************************");
Console.WriteLine("Polytomous Items, Model : " + paramModel.EnumToString());
Console.WriteLine("*******************************************");
CATItems itemBank = new CATItems(PolyItems[0].Length, paramModel.EnumToString(), 5);
Tuple <CATItems.ColumnNames, int>[] cols = itemBank.GetKeys();
for (int i = 0; i < cols.Length; i++)
{
itemBank.SetItemParamter(cols[i], PolyItems[i].Select(y => (double)y).ToArray());
}
#region "Test block for Ability Values (th)"
OIiList objOIi = null;
int decimalPoint = 6;
double[] th_Values = CatRcs.Utils.CommonHelper.Sequence(-6, 6, by: 1);
Console.WriteLine("******* TEST for Ability value Theta ********");
for (int k = 0; k < th_Values.Length; k++)
{
// Sequence Generation for Theta (Ability) values
NumericVector th_val = engineObj.CreateNumericVector(new double[] { th_Values[k] });
engineObj.SetSymbol("th_val", th_val);
//Creation of a response pattern
engineObj.Evaluate("set.seed(1)");
NumericVector x_val = engineObj.Evaluate("x_val <- genPattern(th = th_val, PolyItems, model = modelName, D = 1)").AsNumeric();
engineObj.SetSymbol("x_val", x_val);
// Calling the Ii function from R
GenericVector result_OIi = engineObj.Evaluate("result_OIi <- OIi(th = th_val, PolyItems, x = x_val, model = modelName, D = 1)").AsList();
// Getting the function result
NumericVector OIi = result_OIi.AsNumeric();
Console.WriteLine("Value of Theta: " + th_Values[k]);
objOIi = CatRLib.OIi(th_Values[k], itemBank, x_val.Select(y => (int)y).ToArray(), paramModel.EnumToString(), 1);
#region "OIi"
int z = 0;
resultFlag = true;
Console.WriteLine("****** OIi ******");
for (int i = 0; i < objOIi.OIi.Length; i++)
{
z = i + 1; // item number
if (decimal.Round(Convert.ToDecimal(OIi[i]), decimalPoint) != decimal.Round(Convert.ToDecimal(objOIi.OIi[i]), decimalPoint))
{
Console.WriteLine("Test for Item No. # " + z + " is not Matched!");
resultFlag = false;
}
}
Assert.IsTrue(resultFlag);
Console.WriteLine("Values of OIi result are Matched!");
#endregion
}
#endregion
#region "Test block for Metric values"
objOIi = null;
double[] D_Values = CatRcs.Utils.CommonHelper.Sequence(0.5, 1, by: 0.1);
Console.WriteLine("******* TEST for Metric Constant ********");
for (int k = 0; k < D_Values.Length; k++)
{
// Sequence Generation for Metric values
NumericVector D_val = engineObj.CreateNumericVector(new double[] { D_Values[k] });
engineObj.SetSymbol("D_val", D_val);
//Creation of a response pattern
engineObj.Evaluate("set.seed(1)");
NumericVector x_val = engineObj.Evaluate("x_val <- genPattern(th = 0, PolyItems, model = modelName, D = D_val)").AsNumeric();
engineObj.SetSymbol("x_val", x_val);
// Calling the Ii function from R
GenericVector result_OIi = engineObj.Evaluate("result_OIi <- OIi(th = 0, PolyItems, x = x_val, model = modelName, D = D_val)").AsList();
// Getting the function result
NumericVector OIi = result_OIi.AsNumeric();
Console.WriteLine("Value of Metric COnstant: " + D_Values[k]);
objOIi = CatRLib.OIi(0, itemBank, x_val.Select(y => (int)y).ToArray(), paramModel.EnumToString(), D_Values[k]);
#region "OIi"
int z = 0;
resultFlag = true;
Console.WriteLine("****** OIi ******");
for (int i = 0; i < objOIi.OIi.Length; i++)
{
z = i + 1; // item number
if (decimal.Round(Convert.ToDecimal(OIi[i]), decimalPoint) != decimal.Round(Convert.ToDecimal(objOIi.OIi[i]), decimalPoint))
{
Console.WriteLine("Test for Item No. # " + z + " is not Matched!");
resultFlag = false;
}
}
Assert.IsTrue(resultFlag);
Console.WriteLine("Values of OIi result are Matched!");
#endregion
}
#endregion
}
public void testOIi_D()
{
REngine.SetEnvironmentVariables();
REngine engineObj = REngine.GetInstance();
// Loading a library from R
engineObj.Evaluate("library(catR)");
// Dichotomous Items
DataFrame DichoItems = engineObj.Evaluate("DichoItems <- genDichoMatrix(items = 10)").AsDataFrame();
engineObj.SetSymbol("DichoItems", DichoItems);
// Adapting with the existing "CAT-Items" type (Wrapper)
CATItems itemBank = new CATItems(DichoItems[0].Length, false);
// New Dictionary
itemBank.SetItemParamter(CATItems.ColumnNames.a, DichoItems[0].Select(y => (double)y).ToArray());
itemBank.SetItemParamter(CATItems.ColumnNames.b, DichoItems[1].Select(y => (double)y).ToArray());
itemBank.SetItemParamter(CATItems.ColumnNames.c, DichoItems[2].Select(y => (double)y).ToArray());
itemBank.SetItemParamter(CATItems.ColumnNames.d, DichoItems[3].Select(y => (double)y).ToArray());
#region "Test block for Ability Values (th)"
OIiList objOIi = null;
int decimalPoint = 6;
double[] th_Values = CatRcs.Utils.CommonHelper.Sequence(-6, 6, by: 1);
Console.WriteLine("******* TEST for Ability value Theta ********");
for (int k = 0; k < th_Values.Length; k++)
{
// Sequence Generation for Theta (Ability) values
NumericVector th_val = engineObj.CreateNumericVector(new double[] { th_Values[k] });
engineObj.SetSymbol("th_val", th_val);
// Calling the Ii function from R
GenericVector result_OIi = engineObj.Evaluate("result_OIi <- OIi(th = th_val, DichoItems, x = 1, D = 1)").AsList();
// Getting the function result
NumericVector OIi = result_OIi.AsNumeric();
Console.WriteLine("Value of Theta: " + th_Values[k]);
objOIi = CatRLib.OIi(th_Values[k], itemBank, new int[] { 1 }, "", 1);
#region "OIi"
int z = 0;
resultFlag = true;
Console.WriteLine("****** OIi ******");
for (int i = 0; i < objOIi.OIi.Length; i++)
{
z = i + 1; // item number
if (decimal.Round(Convert.ToDecimal(OIi[i]), decimalPoint) != decimal.Round(Convert.ToDecimal(objOIi.OIi[i]), decimalPoint))
{
Console.WriteLine("Test for Item No. # " + z + " is not Matched!");
resultFlag = false;
}
}
Assert.IsTrue(resultFlag);
Console.WriteLine("Values of OIi result are Matched!");
#endregion
}
#endregion
#region "Test block for Metric values"
objOIi = null;
double[] D_Values = CatRcs.Utils.CommonHelper.Sequence(0.5, 1, by: 0.1);
Console.WriteLine("******* TEST for Metric Constant ********");
for (int k = 0; k < D_Values.Length; k++)
{
// Sequence Generation for Metric values
NumericVector D_val = engineObj.CreateNumericVector(new double[] { D_Values[k] });
engineObj.SetSymbol("D_val", D_val);
// Calling the Ii function from R
GenericVector result_OIi = engineObj.Evaluate("result_OIi <- OIi(th = 0, DichoItems, x = 1, D = D_val)").AsList();
// Getting the function result
NumericVector OIi = result_OIi.AsNumeric();
Console.WriteLine("Value of Metric COnstant: " + D_Values[k]);
objOIi = CatRLib.OIi(0, itemBank, new int[] { 1 }, "", D_Values[k]);
#region "OIi"
int z = 0;
resultFlag = true;
Console.WriteLine("****** OIi ******");
for (int i = 0; i < objOIi.OIi.Length; i++)
{
z = i + 1; // item number
if (decimal.Round(Convert.ToDecimal(OIi[i]), decimalPoint) != decimal.Round(Convert.ToDecimal(objOIi.OIi[i]), decimalPoint))
{
Console.WriteLine("Test for Item No. # " + z + " is not Matched!");
resultFlag = false;
}
}
Assert.IsTrue(resultFlag);
Console.WriteLine("Values of OIi result are Matched!");
#endregion
}
#endregion
}
// Function OIi
public static OIiList OIi(double th, CATItems it, int[] x, string model, double D)
{
OIiList objOIi = CatRcs.OIi.OIi_Calc(th, it, x, model, D);
return(objOIi);
}
