Not exact matches
The theory is that, using relationships between risk and return such as alpha and beta, and defining risk as the
standard deviation of return, an «efficient frontier» for investing can be identified and exploited for maximum
gain at a given amount
of risk.
However, although there was no excess
of infants in the fluoxetine group with postnatal weight measurements > 2
standard deviations below the mean, these data indicate that breastfeeding while taking fluoxetine is associated with reduced growth that may be
of clinical importance in situations in which infant weight
gain is already
of concern.
Despite the fact that infants breastfed by mothers who took fluoxetine demonstrated less robust weight
gain than the comparison group, it is reassuring that there was no significant excess
of infants with weight measurements > 2
standard deviations below the mean.
With respect to the adequacy
of weight
gain in these infants, using > 2z score units (
standard deviations) below a mean
of 0 to define inadequate weight
gain, 8 % and 6 %
of infants in the fluoxetine and the no medication groups, respectively, fell into this classification at the time
of the first postnatal measurement.
They scale the
gain in black students» scores by the
standard deviation of test scores computed for a select sample
of students, and observe that the
gain in their scores due to attending private school is «roughly one - third
of the test - score gap between blacks and whites nationwide.»
To catch up to the leading countries would require
gains of at least half
of a
standard deviation, or roughly two years
of learning (see «Are U.S. Students Ready to Compete?»
Schools with F grades in 1999 showed an average
gain of 18 points, equal to 0.8
standard deviations.
And minority students
gain 10 percent
of a
standard deviation in their desire to be art consumers.
Schools earning D grades improved by 16 points, while schools that received F grades in 1999 made
gains of 26 points, equal to 1.25
standard deviations.
D schools improved 0.5 points, while F schools demonstrated an average
gain of.9 points, equal to an astounding 2.2
standard deviations.
The
standard deviation Howell et al. used to scale
gains was around 19, while the
standard deviation of national percentile scores is necessarily 28.9, because percentile ranks follow a uniform distribution.
This statistically significant difference
of -0.23
standard deviations is in the opposite direction
of that expected, based on the student - level relationships between self - control and test - score
gains displayed above.
Students identified for retention by the Florida policy
gained 0.06
of a
standard deviation in reading on both the FCAT and Stanford - 9 over equally low - performing 3rd graders from the previous school year (see Figure 1).
A teacher one
standard deviation above the mean effectiveness annually generates marginal
gains of over $ 400,000 in future student earnings, assuming a class size
of 20, and proportionately higher
gains with larger class sizes.
While the
gains among these initial 3rd graders are not as dramatic as the 4th grade
gains which had captured national attention, Winters found «the
gains among initial 3rd graders were very substantial,» about 0.36
standard deviations between 1998 and 2009, or roughly a full additional year
of academic progress.
Had the reforms translated into achievement
gains of 0.12
standard deviations a year for the remainder
of the decade, with performance constant thereafter, scores
of graduates would be one
standard deviation higher going into the 1990s and the future.
The lowest - performing students
gained about 0.20
standard deviations, roughly twice the improvement
of those students whose expected
gains were to leave them just below proficiency.
The report speaks quite dismissively
of the estimates
of achievement
gains of 0.08
standard deviations.
This is a very large figure, perhaps unbelievably large, implying that a principal at the 75th percentile
of this effectiveness measure shows average achievement
gains of 0.11
standard deviations (relative to the average principal), while one at the 25th percentile shows average losses
of 0.15
standard deviations.
For instance, the median finding across 10 studies
of teacher effectiveness estimates that a teacher who is one
standard deviation above the average in terms
of quality produces additional learning
gains for students
of 0.12
standard deviations in reading and 0.14
standard deviations in math.
Nevertheless, even the most conservative
of our three methodological approaches suggests substantial variation in principal effectiveness: a principal in the top 16 percent
of the quality distribution will produce annual student
gains that are 0.05
standard deviations higher than an average principal for all students in their school.
In a revealing analysis
of a large data set, Hoover Institution economist Eric Hanushek and his colleagues found that placement in special education in grades 3 - 6 was associated with
gains of 0.04
standard deviation in reading and 0.11 in math; such small
gains indicate that children with LD clearly are not closing the gap.
A
gain score
of zero indicates that a student has kept pace with the average student in the state, while a student with a
gain score
of 0.25
standard deviations will have improved his or her performance by enough to exceed roughly 10 percent
of the state's students.
Students in the middle
of the prior test - score distribution also experience substantial
gains of roughly 0.10 to 0.12
standard deviations in math and 0.08 to 0.10
standard deviations in English.
The results
of our analysis
of these «switchers,» which continues to take into account the difficulties associated with moving between schools, again indicate that students make smaller
gains while enrolled in charter schools, by nearly 0.10
standard deviations in reading and 0.16
standard deviations in math.
Students in three countries — Latvia, Chile, and Brazil — improved at an annual rate
of 4 percent
of a
standard deviation, and students in another eight countries — Portugal, Hong Kong, Germany, Poland, Liechtenstein, Slovenia, Colombia, and Lithuania — were making
gains at twice the rate
of students in the United States.
It is true that on average, an additional $ 1000 in per - pupil spending is associated with an annual
gain in achievement
of one - tenth
of 1 percent
of a
standard deviation.
Those
gains might seem small but when viewed over two decades they accumulate to 30 percent
of a
standard deviation, enough to bring the United States within the range
of, or to at least keep pace with, the world's leaders.
If one then assumes a cumulative impact from giving students not just a single application but continuing treatment through grade 12, the
gains reach astronomical proportions, somewhere in the range
of 23 to 57
standard deviations.
That kind
of talk goes «a long way toward explaining why No Child Left Behind has not worked,» she says, overlooking the fact that
gains in math and reading since its passage have amounted to 8 percent
of a
standard deviation, with even larger
gains among minority students (see «Grinding the Antitesting Ax,» check the facts, Spring 2012).
They provide «scientific evidence» to support the claim that a specific set
of policies can shift average student performance upward by three to six
standard deviations, an extraordinary
gain.
Most Americans would be extraordinarily satisfied with average
gains of one full
standard deviation for a school or district.
Among schools where high - SES students neither
gain relative ground nor fall back relative to their statewide peers, there are some schools where low - SES students
gain around 0.05
standard deviation of relative ground, and others where low - SES students lose 0.24
standard deviations of relative ground.
Furthermore, estimates from our equations show that modest increases in resources (
of $ 500 - $ 750 per student) can lead to significant score
gains (one - third
of a
standard deviation) among disadvantaged students.
Across all tested students in online charters, the typical academic
gains for math are -0.25
standard deviations (equivalent to 180 fewer days
of learning) and -0.10 (equivalent to 72 fewer days) for reading.
Using the upper range
of their effect size estimates, $ 100 spent on classroom coaches would yield a
gain of over one - half
standard deviations in student achievement, and one - to - one tutoring would yield a one - quarter
standard deviations improvement.
By their low - end estimates
of benefits (which total to just three
standard deviations), each $ 100 spent on classroom coaches would be expected to yield at least a 0.25
standard deviations gain in achievement, very similar to the expected
gain for full - day kindergarten.
The aggregate NAEP results cited by the author hide achievement
gains of 0.5 - 0.7
standard deviation for black students and 0.3 - 0.4
standard deviation for Hispanic students.
Adjusting for the effect
of instructional days, we estimate that scores increased by roughly 0.25
standard deviations, nearly 40 percent less than the reported
gains.
Those students are scoring, on average, 10 percent
of a
standard deviation better than they would have otherwise, and since each peer evaluator evaluates 10 to 15 teachers each year, those
gains are occurring in multiple teachers» classrooms for a number
of years.
«Forgive some academic jargon, but the most common education reform ideas — reducing class size, raising teacher pay, enrolling kids in Head Start — produce
gains of about 0.1 or 0.2 or 0.3
standard deviations.
Promise Academy produced
gains of 1.3 and 1.4
standard deviations.
To put these units in context, the average middle school student
gains about a quarter
of a
standard deviation per year; for elementary students, the average
gain is between a third and a half
of a
standard deviation.
A study led by Tulane's Douglas N. Harris found that the New Orleans reform efforts resulted in student learning
gains of 0.4
standard deviations.
In the elementary grades 3 through 5, students
of new Teach for America teachers
gained an average
of 5.8 percent
of a
standard deviation more on the TAAS reading exam than did students with other new teachers, a difference that fell just short
of statistical significance (see Figure 2).
A
gain of 5 percent
of a
standard deviation in one year may be considered large, if it is thought that students will continue to experience similar annual
gains through the elementary and secondary years.
In math, the differences in
gains made by African Americans and Hispanics at AYP schools and non-AYP schools are 11 and 12 percent
of a
standard deviation, respectively.
Further, another respected international assessment
of student performance, the Program for International Student Assessment (PISA), found
gains of only 0.5 percent
of a
standard deviation annually for U.S. students over roughly the same time period.
In reading, the difference in
gains for both groups is 6 percent
of a
standard deviation.
Over the past two decades,
gains of 1.6 percent
of a
standard deviation have been garnered annually by 4th - and 8th - grade students on the math, science, and reading tests administered by the National Assessment
of Educational Progress (NAEP), known as the nation's report card.