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PEDAR: Research Methodology What Students Pay for College: Changes in Net Price of College Attendance Between 1992-93 and 1999-2000
The National Postsecondary Student Aid Study
Accuracy of Estimtes
Adjustments for Inflation
Data Analysis Systems
Statistical Procedures
Differences Between Means
Interaction Effects
Executive Summary
References
Full Report (PDF)
Executive Summary (PDF)
Statistical Procedures - Interaction Effects

The overall descriptive comparisons in this report were tested using Student's t statistic (comparing tuition and price measures between the two time periods). However, determining differential changes in net price across years for particular groups of students involved a test of interaction effects. These interaction effects were tested with a two-way Analysis of Variance (ANOVA). For example, in comparing the change in net price between 1992–1993 and 1999–2000 by income level, a test was conducted on the interaction between income level and a variable representing year. An interaction effect significant at the 0.05 level indicated that the amount of change in net price between 1992–1993 and 1999–2000 was different for students from different income levels.

In creating the two-way Analysis of Variance, the squares of the Taylorized standard errors, the variance between the means, and the unweighted sample sizes were used to partition total sums of squares into within- and between-group sums of squares. These were used to create mean squares for the within- and between-group variance components and their corresponding F statistics. The F statistics were then compared with F values associated with a significance level of 0.05. Significant values of both the overall F and the F associated with the interaction term were required as evidence of a relationship between year and the row variable of interest. Means and Taylorized standard errors were calculated by the DAS. Unweighted sample sizes are not available from the DAS and were provided by NCES.

National Center for Education Statistics - http://nces.ed.gov
U.S. Department of Education