The George Washington University Graduate School of Education and Human Development
Quantitative Research Methods: New Doctoral Student Self-Assessment
 
Module 11:
One-Group Inferential Statistics
This section assesses skill in conducting and interpreting inferential statistical analysis for a single group. These procedures are widely used in education and social science research and evaluation, usually to address status questions and associational questions.

Answer all the questions in this section in respect to the following fictitious situation. Evaluation data is collected on a national sample of 1,000 former transitional special education students whose support services were terminated three years earlier.

Question 1:  Five hundred and fifty students reported their transitional services helped in securing a job and 450 reported they did not. If you want to infer whether more in the population think the services helped than think they did not, what test would you use?
A.  Binomial test
B.  z-test of proportions
C.  Chi-Square test
D.  Analysis of variance test
E.  None of the above

Question 2:  Of the 18 women of Pacific Island origin in the sample, 12 reported their transitional services helped in securing a job and 6 reported they did not. If you want to infer whether more of the Pacific Islander woman in the population think the services help than think they did not, what test would you use?
A.  Binomial test
B.  z-test of proportions
C.  Chi-Square test
D.  Analysis of variance test
E.  None of the above

Question 3:  Of the 400 women in the sample, 100 reported holding service jobs, 100 reported holding construction and production jobs, 100 reported holding technical jobs, and 100 reported not having jobs. Of the 600 men, 300 reported holding service jobs, 100 reported holding construction and production jobs, 100 reported holding technical jobs, and 100 reported not holding a job. If you want to infer whether there are differences in these distributions for women and men in the entire population, what test would you use?
A.  Binomial test
B.  z-test of proportions
C.  Chi-Square test
D.  analysis of variance test
E.  None of the above

Question 4:  If you want to infer whether there is an association in the population between type of job held and race/ethnicity, what test would you use?
A.  Chi-Square test
B.  Significance of the Pearson correlation coefficient
C.  Significance of the the Spearman rank order correlation
D.  Significance of the multiple regression coefficient

Question 5:  If you want to infer whether there is an association between age and earnings in the population, what test would you use?
A.  Significance of the Chi-Square statistics
B.  Significance of the Pearson correlation coefficient
C.  Significance of the the Spearman rank order correlation
D.  Significance of the multiple regression coefficient