一下程序在winbugs中定义矩阵，Problem 1是例子。

Problem 1:

Utility specifications

U1 = a1 + b11*x11+b12*x12+ b21*x21+b22*x22;      

U2 = a2;

U3 = 0;

有多少产品和自变量？

prods<-3:   产品是三个 U1 U2 U3

atts2<-4   # 4independent variables  : x11 x1 x21 x22

以下程序在定义自变量和Z矩阵。

# Sets Up Independent Variable Matrices (You don’t changethis part)

A2<-c(1:(Obs*atts2))

dim(A2)<-c(Obs,atts2)

# Dummies referencing for which products these areattributes (You don’t change this part)

z<-c(1:(prods*atts2))

dim(z)<-c(prods,atts2)

z<-0*z

# Product Attributes (You change this part)

A2[1:Obs,1]<-(MyData$x11[1:Obs])

A2[1:Obs,2]<-(MyData$x12[1:Obs])

A2[1:Obs,3]<-(MyData$x21[1:Obs])

A2[1:Obs,4]<-(MyData$x22[1:Obs])

# Set Indicator Variables for which products are affiliatedwith each attribute (You change this part)

z[1,1]<-1  # x11

z[1,2]<-1  # x12

z[1,3]<-1  # x21

z[1,4]<-1  # x22

问题是：problem2-problem5如何定义？？？？？？？？？？

Problem 2:

Utility specifications

U1 = a1 + b11*x11+b12*x12;

U2 = a2 + b21*x21+b22*x22;

U3 = 0;

How many product choices andindependent variables?  

prods<-3

atts2<-4

What is the correct way to set up A2and z?  

# Sets Up IndependentVariable Matrices (You don’t change this part)

A2<-c(1:(Obs*atts2))

dim(A2)<-c(Obs,atts2)

# Dummies referencing for which products these areattributes (You don’t change this part)

z<-c(1:(prods*atts2))

dim(z)<-c(prods,atts2)

z<-0*z

# Product Attributes (You change this part)

A2

# Set Indicator Variables for which products are affiliatedwith each attribute (You change this part)

z

Problem 3:

Utility specifications

U1 = a1 + b11*x11+b12*x12 + b31*x3;

U2 = a2 + b21*x21+b22*x22 + b32*x3;

U3 = 0;

How many product choices andindependent variables?  

What is the correct way to set up A2and z?  

Problem 4:

Utility specifications

U1 = a1 + b11*x11+b12*x12 + b3*x3;

U2 = a2 + b21*x21+b22*x22 + b3*x3;

U3 = 0;

How many product choices andindependent variables?  

What is the correct way to set up A2and z?  

Problem 5:

Utility specifications

U1 = a1 + b11*x11+b12*x12 + b3*x3;

U2 = a2 + b21*x21+b22*x22 + b3*x3;

U3 = a3 + b3*x3;

U4 = 0;

How many product choices andindependent variables?  

What is the correct way to set up A2and z?