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Table 3 Composite calculation of number of question paths

From: On the logical structure of census and survey questionnaires

Row Section path Calculation Question paths
1 S1 →S2 →S3 →END 2 × 4 × 4 32
2 S1 →S2 →S3 →S4 →END 2 × 4× 4 × 2 64
3 S1 →S2 →S3 →S4 →S5 →END 2 × 4 × 4 × 2 × 9 576
4 S1 →S2 →S3 →S4 →S5 →S6 →END 2 × 4 × 4 × 2 × 9 × 2 1152
5 S1 →S2 →S3 →S4 →S5 →S6 →S7 →END 2 × 4 × 4 × 2 × 9 × 2 × 1 1152
6 S1 →END 2 2
7 S1 →S2 →S4 →END 2 × 4 × 2 16
8 S1 →S2 →S4 →S5 →END 2 × 4 × 2 × 9 144
9 S1 →S2 →S4 →S5 →S6 →END 2 × 4 × 2 × 9 × 2 288
10 S1 →S2 →S4 →S5 →S6 →S7 →END 2 × 4 × 2 × 9 × 2 × 1 288
   Structural paths 3714
   Invalid paths 160
   Valid paths 3554
  1. Question paths may be partitioned according to the section paths from which the questions are drawn. The question paths column shows the product of the numbers of paths through the sections on the section path. There are nine paths through the economic activity questions in the “Application of the paths algorithms” section, as shown in Fig. 2b. The numbers of paths through the other sections are readily determined by inspection