## Strength of Tie in the Padgett Dataset

Author:  Christina Prell

### Setup

1. Start up UCINET 6

2. Set default folder to your "datafiles" folder (probably c:\program files\analytic technologies\ucinet 6\datafiles)

3. We will be analyzing the Padgett dataset, which records marriage and business ties among Florentine families in the Renaissance. Recall that the Padgett dataset contains two relations, PADGM (marriage ties) and PADGB (business ties). For some of the measures we will be calculating, you will have to run Data|Unpack to create separate datasets for the two relations.

### Steps

1. Go to Transform > Matrix Operations > Between datasets > Statistical summaries:

You will be adding together the two relations in this dataset (marriage relation + business relation). Thus, you will be creating a new matrix out of two current matrices.

Remember, in each of the two relations (marriage and business), where there is a tie between 2 families, then there will be the value of 1. Where there is no tie, the value is 0. Thus, to add these two matrices together to create a new matrix, UCINET will be doing the following:

a.       If two families have both a marriage tie (value = 1) and a business tie (value = 1), then the value in the new matrix shall be 2.

b.      If two families share only one relational tie between them (either marriage or business, but not both), then the value in the new matrix shall be 1.

c.       If two families do not share any relational tie between them (neither marriage nor business), then the value in the new matrix shall be 0.

To do this, fill in the window as is shown below:

3.      Select ‘OK’, and your output data matrix should look like this:

 1 1 1 1 1 1 1                1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6                A A B B C G G L M P P P R S S T                - - - - - - - - - - - - - - - -   1 ACCIAIUOL  0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0   2   ALBIZZI  0 0 0 0 0 1 1 0 1 0 0 0 0 0 0 0   3 BARBADORI  0 0 0 0 2 1 0 0 2 0 1 0 0 0 0 0   4  BISCHERI  0 0 0 0 0 0 2 1 0 0 2 0 0 0 1 0   5 CASTELLAN  0 0 2 0 0 0 0 1 0 0 2 0 0 0 1 0   6    GINORI  0 1 1 0 0 0 0 0 1 0 0 0 0 0 0 0   7  GUADAGNI  0 1 0 2 0 0 0 2 0 0 0 0 0 0 0 1   8 LAMBERTES  0 0 0 1 1 0 2 0 0 0 1 0 0 0 0 0   9    MEDICI  1 1 2 0 0 1 0 0 0 1 0 0 1 2 0 2  10     PAZZI  0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0  11   PERUZZI  0 0 1 2 2 0 0 1 0 0 0 0 0 0 1 0  12     PUCCI  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  13   RIDOLFI  0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1  14  SALVIATI  0 0 0 0 0 0 0 0 2 1 0 0 0 0 0 0  15   STROZZI  0 0 0 1 1 0 0 0 0 0 1 0 1 0 0 0  16 TORNABUON  0 0 0 0 0 0 1 0 2 0 0 0 1 0 0 0 C:\Program Files\Ucinet 6\DataFiles\Padgett-SUM

a.       Within NetDraw you will manipulate the graph so that the strength of ties get shown in the graph. To do this, Go to Properties > Lines > Size > Tie Strength:

b.      When the below window appears, make sure the below entries are also appearing in your window and select OK:

c.       The graph that appears should look something like this:

…where thicker lines represent stronger ties. Some questions:

1.      These data do not completely support our discussions re: SWT and Forbidden triangle, and there are some good reasons for this. Automatically, you should see that the ‘strongest’ ties, i.e. those with a value of 2, are not embedded in triangles. This goes against the Forbidden Triangle argument that Granovetter articulates. What might be some reasons for this? Go back and look at how UCINET describes this dataset and think a little bit about a) the size of this dataset; b) how we’ve conceptualized and measured tie strength here.

2.  Now compare tie strength with wealth. In Ucinet, go to Data > Display. Select the PADW dataset, which gives attribute data for each family: (1) each family's net wealth in 1427 (in thousands of lira);  (2) the number of priorates (seats on the civic council) held between 1282-1344; and (3) the total number of business or marriage ties in the total dataset of 116 families:

 1         2         3                   WEALTH   #PRIORS     #TIES                --------- --------- ---------   1 ACCIAIUOL         10        53         2   2   ALBIZZI         36        65         3   3   RIDOLFI         27        38         4   4   STROZZI        146        74        29   5 BARBADORI         55         0        14   6  BISCHERI         44        12         9   7 CASTELLAN         20        22        18   8  GUADAGNI          8        21        14   9 LAMBERTES         42         0        14  10    MEDICI        103        53        54  11     PAZZI         48         0         7  12   PERUZZI         49        42        32  13  SALVIATI         10        35         5  14 TORNABUON         48         0         7  15    GINORI         32         0         9  16     PUCCI          3         0         1
3.  Look carefully at this second dataset. Who has the highest amount of ties now? How do the total amount of ties correspond to the amount of wealth and number of  priorates? To what extent can we rethink our conclusions re: the role of strength of ties?

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