Although ordinary least-squares (OLS) regression has been identified as a preferred method to calculate rates of improvement for individual students during curriculum-based measurement (CBM) progress monitoring, OLS slope estimates are sensitive to the presence of extreme values. Robust estimators have been developed that are less biased by extreme values; however, the performance of robust estimators in the short data streams typical of CBM progress monitoring is unknown. The purpose of the current study was to investigate bias and efficiency relative to OLS for several robust slope estimators on simulated CBM progress monitoring data. Data were generated at several combinations of series lengths (i.e., 7, 12, and 24 data points) and percentages of extreme value contamination (i.e., 0%, 15%, and 30% of data points). Results indicated that the robust slope estimates were substantially more efficient than OLS in the presence of extreme values. Potential uses of robust slope estimates for calculating students' rates of improvement in CBM progress monitoring are discussed.
The purpose of this preliminary study was to determine whether incorporating vocabulary instruction in individual reading fluency interventions for English Language Learners (ELLs) would improve reading comprehension. Two vocabulary instructional procedures were contrasted with a fluency-building only condition in an alternating-treatments design with four ELL students in Grades 3 and 5. Results indicated that the two vocabulary instructional procedures, on average, did not affect reading comprehension. Despite no consistent overall effects, one student had better comprehension of passages used in fluency-building activities when definitions of key target words were taught, and two students demonstrated better comprehension of untaught passages following vocabulary instruction that included processing questions; however, all effects were of small magnitude. Reducing instructional time spent on fluency-building activities to incorporate the vocabulary activities did not attenuate intervention effects on reading fluency. Practical recommendations and future directions for incorporating vocabulary instruction in individual reading interventions are discussed.
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