Technical Brief
Predicting Individual School Performance
Predicting Individual School
Performance
Regression equations produced by the models were used to create expected
achievement scores (dependent variables) on the basis of selected known values of the
school context (independent variables). These expected scores provide us with guidelines
about what we can statistically expect for individual school performance in the 98-99
school year state assessments. Note that we cannot reliably predict the 1999-2000 state
assessment performance from the 98-99 data. The techniques are applied here only in a
retrospective analysis not for the purpose of predicting future performance. Standard
(random) errors were computed in addition to the specific point estimates for the expected
scores. The point estimates combined with the errors generated a band within which we
would expect individual school performance to lie. The band reflects a confidence level of
95%, i.e., there is only a 5% or less chance that a school's performance would sit outside
the band due solely to chance. Because of employing the 95% confidence intervals, schools
with both a preponderance of the five variables we considered in our two-block model and
those who have small numbers for those variables within their entire student body have
much larger bands. These schools at the two extremes are prone to more errors (recall the
outlier discussion above), because they are outliers in the total population of RI
schools. In other words, they are least like the other schools in the entire RI sample.
Due to the fact that for all tests this year we used two years worth of testing data, we
were able to considerably reduce the amount of error inherent in the model. The result is
that performance bands this year are smaller in size than those associated with last
year's report.
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