Notation

Description


W i

Sum of the weights (weighted base) for column i.

Q i

Sum of the squared weights for column i.

E i = (W i * W i) / Q i

Effective base for column i.

P i

Proportion in column i

Notation

Description


W ij

Sum of the weights (weighted base) for respondents in both columns.

Q ij

Sum of the squared weights for respondents in both columns.

E ij = (W ij * W ij) / Q ij

Effective base for respondents in both columns.

P ij

Proportion for respondents belonging in the row being tested for both columns.

Notation  Description 

W i  Sum of the weighted base for column i. 
Q i  Sum of the squared weights for column i. 
E i = (W i * W i) / Q i  Effective base for column i. 
X i  sum of values for column i 
Y i  sum of squared values for column i 
M i  mean for column i=X i/W i 
Notation  Description 

W ij  Sum of the weighted base for respondents in both columns. 
Q ij  Sum of the squared weights for respondents in both columns. 
E ij = (W ij * W ij) / Q ij  Effective base for respondents in both columns. 
Notation  Description 

X i*  The weighted sum of factors for column i for all respondents belonging in the mean for column i and in the base of column j. 
X *j  The weighted sum of factors for column j for all respondents belonging in the mean for column j and in the base of column i. 
Y i*  The weighted sum of squared factors for column i for all respondents belonging in the mean for column i and in the base of column j 
Y *j  The weighted sum of squared factors for column j for all respondents belonging in the mean for column j and in the base of column i 
Y ij  The weighted sum of (factor for column i) * (factor for column j) for all respondents belonging in the mean for both columns. 