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Regarding the 2002-2003 academic year, the Wilcoxon signed-rank test resulted in statistically significant differences in passing rates in reading between Hispanic students and students who were LEP, z = -28.09, p <.001, and in passing rates in math, z = -24.15, p <.001. Effect sizes were large for reading, with a Cohen’s d of 1.21 for the reading pass rate difference, and moderate, with a Cohen’s d of 0.72 for the math pass rate difference (Cohen, 1988). Hispanic students averaged 22.24% points higher in their reading pass rates and 12.70% points higher in their math pass rates than students who were labeled LEP.

Descriptive statistics for passing rates in reading and in math for hispanic students and students who were lep for the 2002-2003 school year
2002-2003 School Year n M SD
Reading Pass Rates
Hispanic Students 1180 70.87 12.79
Students with LEP 1180 48.63 22.51
Math Pass Rates
Hispanic Students 1229 81.03 12.28
Students with LEP 1229 68.33 21.70

For the 7-year time period, the trend concerning the differences in passing rates in reading between Hispanic students and students who were LEP in elementary school revealed a continuous achievement gap. Hispanic students’ passing rates in reading averaged 19.19% to 24.94% higher than the reading passing rates of students who were LEP for reading, over the 7-year time period. The differences in passing rates in reading between Hispanic students and students who were LEP were evident throughout the 7-year testing period (http://ritter.tea.state.tx.us/student.assessment/resources/studies/testingtimeline.pdf). Readers are referred to Table 5 for the mean differences, effect sizes, and effect size ranges across the 7 years of data analyzed.

Mean Differences, Effect Sizes, and Effect Size Ranges in Reading and in Math Over a Seven-Year Time Period
Differences M Difference d Effect Size Range
Reading Pass Rates
2008-2009 19.29% 1.25 Large
2007-2008 19.19% 1.26 Large
2006-2007 21.88% 1.36 Large
2005-2006 22.94% 1.51 Large
2004-2005 24.56% 1.41 Large
2003-2004 24.88% 1.51 Large
2002-2003 22.24% 1.21 Large
Math Pass Rates
2008-2009 10.96% 0.78 Moderate/Near-Large
2007-2008 11.88% 0.84 Large
2006-2007 13.30% 0.87 Large
2005-2006 14.22% 0.89 Large
2004-2005 14.89% 0.91 Large
2003-2004 16.15% 0.93 Large
2002-2003 12.70% 0.72 Moderate

Differences in passing rates between Hispanic students and students who were LEP were discernible during the 2002-2003 school year, which coincided with the signing of the No Child Left Behind Act (http://ritter.tea.state.tx.us/student.assessment/resources/studies/testingtimeline.pdf). As previously mentioned, this law was enacted to bring stricter accountability for school campuses and districts, as well as 100% passing rates for all students by the 2013-2014 school year. The greatest difference in achievement between Hispanic students and students who were LEP was evident during the 2003-2006 school years. The wide discrepancy in passing rate between students corresponded with the administration of the Texas Assessment of Knowledge and Skills test (http://ritter.tea.state.tx.us/student.assessment/resources/studies/testingtimeline.pdf). By the 2007-2008 school year, the mean difference between both groups began to decline and continued to decline the following school year. The narrowest gap occurred during the 2007-2008 school year (19.19%). All 7 years had a large effect sizes (Cohen, 1988). Readers are referred to Figure 1 for the trend that was present concerning the difference in passing rates in reading between Hispanic students and students who were LEP in elementary school, across a 7-year time period.

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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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