Five statistical techniques were used to analyze the data collected in a previous article (TM 511 223) on student achievement, attention, and motivation in secondary school mathematics and science: ordinary least squares regression, canonical correlation, factorial modeling, partial least squares path analysis, and linear structural relations…

Since the mean score for a sample composed of several subgroups can be viewed as the sum of the mean of each subgroup weighted by the proportional size of the subgroup, then the mean change in a time period--in this case, from 1972 to 1980--is the sum of the differences between the means for each subgroup, with each mean weighted by its…