Exam 1

1. Metainformation

   Tag	Value
   file	Inferential_Statistics_vufgb-crosstables-003-en_vufgb-crosstables-003-en
   name	vufgb-crosstables-003-en
   section	Inferential Statistics/Parametric Techniques/Cross tables, Inferential Statistics/Regression/Residuals
   type	schoice
   solution	TRUE, FALSE, FALSE, FALSE
   Type	Calculation, Interpreting output
   Program
   Language	English
   Level	Statistical Thinking

   Question

   A scholar is wondering whether there is a relationship between divorce and level of education. He makes the following table based on the collected data in a sample of 240 adults.

   Calculate the unstandardized residue for the cell Divorced – Low education.

   

   
   
   1. TRUE: 4
   2. FALSE: 16
   3. FALSE: 20
   4. FALSE: 40
   
   

   Solution

   The unstandardized residual is the difference between the observed frequency in a cell and the expected frequency in a cell, under the null hypothesis (no relationship between two categorical variables) in a cross-table. The observed frequency for the cell Divorced-Low education is 20. The expected frequency (at the null hypothesis) is given by the product of the row and column totals of the cell, divided by the total $N: \; \frac{80 \times 48}{240} = 16$.

   The unstandardized residual is: $20-16 = 4$.

   
   
   1. Correct
   2. Incorrect
   3. Incorrect
   4. Incorrect