A Researcher Gathered Responses to Piagetian Conservation of Volume Problems

Essay

A researcher gathered responses to Piagetian conservation of volume problems from four groups of children. Each child was scored from 1 (no understanding) to 11 (thorough understanding). The following statistics were calculated. Examine the means carefully, pick the most important comparison, and calculate a Tukey HSD and a d value. In a sentence or two tell what these data show. $\begin{array}{ccccc} & \text { 3 year olds } & 6 \text { year olds } & 9 \text { year olds } & 12 \text { year olds } \\\bar{X} & 0.4 & 1.5 & 8.9 & 9.8 \\N & 10 & 9 & 8 & 7\end{array}$
$F=\frac{60}{15}=4.00$