Exam 1

1. Metainformation

   Tag	Value
   file	Inferential_Statistics_eur-inferential_statistics-215-en_eur-inferential_statistics-215-en
   name	eur-inferential_statistics-215-en
   section	Inferential Statistics/NHST/p-value, Inferential Statistics/NHST/Test statistic/t-statistic
   type	schoice
   solution	FALSE, FALSE, FALSE, TRUE
   Type	Interpreting output
   Program
   Language	English
   Level	Statistical Literacy

   Question

   In four different studies a regression analysis with one predictor is conducted. Consider the t-tests of the regression coefficient in the four different regression models below. Which of the four different t-tests has the smallest p-value?

   Model	t_test
   I	t(29) = -1.3
   II	t(29) = 3.3
   III	t(299) = 1.3
   IV	t(299) = -3.3

   
   
   1. FALSE: Model I
   2. FALSE: Model II
   3. FALSE: Model III
   4. TRUE: Model IV
   
   

   Solution

   Model IV is correct. In general, larger t-values, regardless of whether it’s a positive or negative value, are accompanied by smaller p-values. The sample size also has an influence. The same t-value (as in models II and IV) has a smaller associated p-value in a larger sample. So, according to this logic, the correct answer is model IV. The t-value and sample size (as shown by the df in the parentheses) are the largest here.

   
   
   1. False
   2. False
   3. False
   4. True