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After checking the assumptions for normality for students’ TAKS and TAAS reading scores and their math scores, it was determined that the datasets for all 16 years of data demonstrated evidence of non-normality. That is, the standardized skewness coefficients (i.e., the skewness value divided by its standard error) and the standardized kurtosis coefficients (i.e., the kurtosis value divided by its standard error) were almost all outside of the boundaries of +/- 3 (Onwuegbuzie&Daniel, 2002). The most likely reason for these students’ TAKS Reading and TAKS Math scores being non-normal is due to the content assessed on these tests being taught in Texas classrooms. Test items on the TAKS are designed to assess the information and skills taught in classroom settings. As such, 50% of the test scores would not be expected to be average or below, on content specifically taught to students. A final explanation is that in norm-referenced measures, student performance is compared to the performance of other peers. In the case of the two TAKS measures, student performance is compared to the number of items answered correctly. Each item receives a specific point value. Students, as noted above, who receive 40 points in Reading are rated as having passed the exam.

Because student achievement data were not normally distributed, nonparametric procedures were utilized to answer the research questions delineated above. Nonparametric procedures do not have as an assumption that test scores are normally distributed. As such, they are the optimal statistical procedure to use when the assumption of normality of data is violated.

In regard to the 2008-2009 academic year, the Wilcoxon signed-rank test revealed the presence of statistically significant differences in passing rates in reading between Hispanic students and White students, z = -26.18, p <.001, and in passing rates in math, z = -21.96, p <.001. Effect sizes were large, with a Cohen’s d of 0.93 for the reading pass rate difference, and moderate, with a Cohen’s d of 0.61 for the math pass rate difference (Cohen, 1988). Hispanic students averaged 8.89% points lower in their reading pass rates and 6.73% points lower in their math pass rates than White students.

Because of the space required to report in detail all of the statistical analyses conducted in this study, only the following information will be provided. Readers are requested to contact the authors directly for the detailed numeric phrases for each analysis. Statistically significant differences were yielded at the .001 level, using the Wilcoxon signed-rank test, in reading and in math between Hispanic and White students for the other 15 years of data analyzed. Effect sizes are depicted for each analysis in Tables 9 and 10, along with the mean difference in student passing rate.

Descriptive Statistics for Passing Rates in Reading and in Math for Hispanic Students and for White Students for the 2008-2009 and 2007-2008 School Years
2008-2009 School Year n of schools M SD
Reading Pass Rates
Hispanic Students 1,544 80.17 10.68
White Students 1,544 89.06 8.30
Math Pass Rates
Hispanic Students 1,518 80.69 11.80
White Students 1,518 87.42 10.32
2007-2008 School Year
Reading Pass Rates
Hispanic Students 1,463 81.33 10.40
White Students 1,463 89.79 7.66
Math Pass Rates
Hispanic Students 1,464 81.25 11.09
White Students 1,464 88.48 9.14

Questions & Answers

Introduction about quantum dots in nanotechnology
Praveena Reply
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Anassong Reply
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do you think it's worthwhile in the long term to study the effects and possibilities of nanotechnology on viral treatment?
Damian Reply
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Do somebody tell me a best nano engineering book for beginners?
s. Reply
there is no specific books for beginners but there is book called principle of nanotechnology
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Devang Reply
are you nano engineer ?
fullerene is a bucky ball aka Carbon 60 molecule. It was name by the architect Fuller. He design the geodesic dome. it resembles a soccer ball.
what is the actual application of fullerenes nowadays?
That is a great question Damian. best way to answer that question is to Google it. there are hundreds of applications for buck minister fullerenes, from medical to aerospace. you can also find plenty of research papers that will give you great detail on the potential applications of fullerenes.
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Abhijith Reply
Mostly, they use nano carbon for electronics and for materials to be strengthened.
is Bucky paper clear?
carbon nanotubes has various application in fuel cells membrane, current research on cancer drug,and in electronics MEMS and NEMS etc
so some one know about replacing silicon atom with phosphorous in semiconductors device?
s. Reply
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how to fabricate graphene ink ?
for screen printed electrodes ?
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s. Reply
of graphene you mean?
or in general
in general
Graphene has a hexagonal structure
On having this app for quite a bit time, Haven't realised there's a chat room in it.
what is biological synthesis of nanoparticles
Sanket Reply
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Damian Reply
types of nano material
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I'm interested in nanotube
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what is nano technology
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Source:  OpenStax, The achievement gap between white and non-white students. OpenStax CNX. Jan 10, 2012 Download for free at http://cnx.org/content/col11402/1.4
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