10th International
Conference on
Teaching Statistics
8 – 13 July 2018
Kyoto, Japan
Contributed paper list

Contributed Paper C147


The Effect of the Structure of Contingency Table Data on Students’ Inferences


Ting-Ying Chu (Taiwan)
Kai-Lin Yang (Taiwan)


Ting-Ying Chu (Taiwan)


The aim of this research is to understand the students’ spontaneous inferences on different kinds of contingency tables. The sign of the association, the type of tables and the number structure are considered to design problems. The 10th graders of this study have not received any school instruction on contingency tables prior to the test. The results show that the contingency table problems can be classified by three factors composed of the interaction between the sign of the association and the number structure. The three factors are named as (1) correlated data, (2) uncorrelated data with the same ratios between column values or with the same sums of the diagonal values, (3) uncorrelated data with the ration 1:1.