Table 2. Result of the MAP test.

Components partialed out	Squared partial correlation	4th power partial correlation
0	0.2859	0.1197
1	0.0929	0.0261
2	0.0714	0.0155
3	0.0308	0.0027
4	0.0339	0.0037
5	0.0358	0.0051
6	0.0340	0.0050
7	0.0348	0.0046
8	0.0391	0.0053
9	0.0439	0.0064
10	0.0475	0.0075
11	0.0525	0.0088
12	0.0538	0.0081
13	0.0586	0.0097
14	0.0671	0.0134
15	0.0739	0.0151
16	0.0829	0.0195
17	0.0951	0.0235
18	0.1099	0.0322
19	0.1331	0.0450
20	0.1537	0.0563
21	0.1800	0.0728
22	0.2034	0.0927
23	0.2633	0.1336
24	0.3550	0.2268
25	0.5434	0.4179
26	1	1

The average squared, as well as the 4^th power partial correlation, are both smallest when 3 components are partialed out of the correlation matrix of the item responses.