Dear All,

I am new to this listserve and to multiple imputation in general. I have what 
might be a foolish question about using multiple imputation to estimate values 
for a variable that has not been measured at all phases of a longitudinal 
investigation. When data are arranged in a multivariate format (i.e., all 
observations for each sample unit are placed on a single line), it is clear 
that multiple imputation cannot be used to estimate missing values because you 
would have empty columns for those phases in which a variable was not measured. 
However, when data are arranged in a univariate format this is not the case. In 
the example below, all values for Variable A at phases 2 and 3 are missing. But 
because the data are arranged in a univariate format, there are no empty 
columns for variable A. 

My question concerns whether or not it is possible to estimate the missing 
values for Variable A using multiple imputation once data are arranged in a 
univariate format. The imputation program that I am most familiar with is NORM. 
The documentation for this program seems to indicate that data must be arranged 
in a multivariate format. However, I was hoping that there might be other 
programs that will accept data in the univariate format depicted below. 
Assuming that this is the case, would it be reasonable to estimate missing data 
points in the manner I have described? Or does this go well beyond what any 
multiple imputation program can be expected to do? Any help that people can 
provide will be most appreciated. 

Paul

(Note: Initially, I had decided to insert a table into this e-mail message so 
people could see my example data. However, I now understand that some people 
may not be able to read the table using their e-mail program and so I have 
typed out what should appear in each column of the data set as well). 
Column 7: x, x, x, x, x, x, x, x, x, x, x, x, x, x, x, x(Variable D) Column 6: 
x, x, x, x, x, x, x, x, x, x, x, x, x, x, x, x(Variable C) Column 5: x, x, x, 
x, x, x, x, x, x, x, x, x, x, x, x, x(Variable B) Column 4: x, _, _, x, x, _, 
_, x, x, _, _, x, x, _, _, x(Variable A) Column 3: 1, 2, 3, 4, 1, 2, 3, 4, 1, 
2, 3, 4, 1, 2, 3, 4(Phase) Column 2: 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 
2, 2(Spouse) Column 1: 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2(Couple) 
Couple

Spouse

Phase



Variable A



Variable B



Variable C



Variable D

1

1

1



X



X



X



X

1

1

2
 


X



X



X

1

1

3
 


X



X



X

1

1

4



X



X



X



X

1

2

1



X



X



X



X

1

2

2
 


X



X



X

1

2

3
 


X



X



X

1

2

4



X



X



X



X

2

1

1



X



X



X



X

2

1

2
 


X



X



X

2

1

3
 


X



X



X

2

1

4



X



X



X



X

2

2

1



X



X



X



X

2

2

2
 


X



X



X

2

2

3
 


X



X



X

2

2

4



X



X



X



X

 
 
 



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