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Cross Table

The cross tabulation is a very basic and simple way of data analysis, Mani cross tables are oftem equivalent to a bar graph in 3 dimensions, which explains totals of co-ocurrences.

Example: Two batches (A and B) of manufactured items were randomly sampled to determine if the proportion of defective items is different fot the two batches. The data are described below.

Item Batch
Condition
Item Batch Condition
1 A Defective 1 B Non-defective
2 A Non-defective 2 B Defective
3 A Non-defective 3 B Non-defective
4 A Non-defective 4 B Non-defective
5 A Non-defective 5 B Non-defective
6 A Non-defective  6 B Non-defective
7 A Non-defective 7 B Non-defective
8 A Defective 8 B Non-defective
9 A Non-defective 9 B Defective
10 A Non-defective 10 B Non-defective
11 A Non-defective 11 B Non-defective
12 A Non-defective 12 B Non-defective
13 A Non-defective 13 B Non-defective
14 A Non-defective 14 B Defective
15 A Defective 15 B Defective
16 A Non-defective 16 B Non-defective
17 A Non-defective 17 B Non-defective
18 A Non-defective 18 B Non-defective
19 A
Defective 19 B Non-defective
20 A Non-defective 20 B Non-defective
21 A Non-defective 21 B Non-defective
22 A Non-defective 22 B Non-defective 
23 A Non-defective 23 B Defective
24 A Non-defective 24 B
Non-defective
25 A Non-defective 25 B Non-defective
26 A Non-defective 26 B Non-defective
27 A Defective 27 B Non-defective
28 A Non-defective 28 B Non-defective
29 A Non-defective 29 B Defective
30 A Non-defective 30 B Defective

click here to download the data

To use the tool Cross Table the user must follow these steps:

1. Access the menu:

Action → Basic Statistics Cross Table


2. The following window will appear;


3. In the field Data Set, we choose between Complete Data if we have all the data set or Summarized Data if we already have the corss table. In this case we have all the data set so, we will select Complete Data.

 

With the cursor in the field Factor Line select the column (or row) that contains its data (which you wish to insert in the cross table lines). Use the mouse to select, without however, select the name of the column (if it exists);


4. With the cursor in the field Factor column select the column (or row) that contains its data (which you wish to insert in the cross table columns). Use the mouse to select, without however, selecting the name of the column (if it exists);

5. In the board Show Results, choose one of the options. We suggest the option New Sheet, because Action does not have the undo command;

6. To finish, click Ok.


REMARK: Look at item 5 of the case ANOVA - Analysis with a single factor and various levels (page 5) and the remark after this item to more information about the completion of the field Factors.

Results and Interpretation


The released table shows the absolute and percentage events of studied cases. We see that 58.33% of the total of defective items (12 in general) are in the first batch (B), and the rest in batch A, 41.67%.  This difference does not seem significant, once both percentages are relatively close.