Exam 1

1. Metainformation

   Tag	Value
   file	Factor-analysis_eur-factor-103-en_eur-factor-103-en
   name	eur-factor-103-en
   section	Factor analysis/Exploratory factor analysis
   type	string
   solution	""
   Type	Conceptual
   Program	none
   Language	English
   Level	Statistical Reasoning

   Question

   A test that is constructed to measure math performance in grade 3 measures an unidentified number of constructs that constitute math performance. This tests consists of the following items:

   Item 1: $234+23$

   Item 2: $67 \times 5$

   Item 3: $76 \times 2$

   Item 4: $356 - 298$

   Item 5: $245 + 265$

   Item 6: $5 \times 36$

   Based on the content of this test, how may factors do you expect to find? Note: Multiple potential answers can be given. The underlying argument is more important than the number of factors.

   
   

   Solution

   There are three kinds of items, addition, subtraction and multiplication. We expect to find three factors (addition, subtraction and multiplication). However, one could also argue that addition and subtraction fall under the same underlying construct, making it possible that one could expect two factors.