
06458049
j
2015e.00845
Batanero, Carmen
Ca\~nadas, Gustavo R.
D\'{\i}az, Carmen
Gea, Maria M.
Judgment of association between potential factors and associated risk in $2\times 2$ tables: a study with psychology students.
Math. Enthus. 12, No. 13, 347363 (2015).
2015
Information Age Publishing (IAP), Charlotte, NC; University of Montana, Department of Mathematical Sciences, Missoula, MT
EN
K75
K95
D75
risk
stochastics
probability theory
statistics
university teaching
research
perception of risk
risk factors
perception of association
independence
2way tables
semiotic conflicts
psychology students
student errors
misconceptions
problem solving strategies
http://www.math.umt.edu/tmme/vol12no1thru3/25_Batanero_et_al.pdf
Summary: This study was aimed to evaluate the accuracy and strategies used in the estimation of association between potential factors and associated risks when data are presented in $2\times 2$ tables. A sample of 414 undergraduate Psychology students from three different Spanish universities was given three different tasks (direct and inverse association and perfect independence) where they had to estimate such association. Most participants judged association in the task where there was perfect independence, but the data contradicted the students' previous expectations. The estimation of association was consistent with the perception of association and the accuracy of estimates increased with correct strategies. Our participants performed worse than secondary school students in a previous study and we found no difference in the three participating universities. We classify the students' strategies in the tasks in levels of complexity and explain the incorrect strategies using the idea of semiotic conflict.