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Yi-Chen Wu, Martha Thurlow , & S heryl Lazarus National Center on Educational Outcomes

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Longitudinal Analysis of Effects of Reclassification, Reporting Methods , and Analytical Techniques on Trends in Math Performance of Students with Disabilities. Yi-Chen Wu, Martha Thurlow , & S heryl Lazarus National Center on Educational Outcomes University of Minnesota. - PowerPoint PPT Presentation
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Longitudinal Analysis of Effects of Reclassification, Reporting Methods, and Analytical Techniques on Trends in Math Performance of Students with Disabilities Yi-Chen Wu, Martha Thurlow, & Sheryl Lazarus National Center on Educational Outcomes University of Minnesota This paper was developed, in part, with support from the U.S. Department of Education, Office of Special Education Programs grants (#H373X070021and #H326G110002). Opinions expressed herein do not necessarily reflect those of the U.S. Department of Education or Offices within
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Page 1: Yi-Chen Wu, Martha  Thurlow , &  S heryl Lazarus National Center on Educational Outcomes

Longitudinal Analysis of Effects of Reclassification, Reporting Methods, and Analytical Techniques on Trends

in Math Performance of Students with Disabilities

Yi-Chen Wu, Martha Thurlow, & Sheryl LazarusNational Center on Educational Outcomes

University of Minnesota

This paper was developed, in part, with support from the U.S. Department of Education, Office of Special Education Programs grants (#H373X070021and #H326G110002). Opinions expressed herein do not necessarily reflect those of the U.S. Department of Education or Offices within it.

Page 2: Yi-Chen Wu, Martha  Thurlow , &  S heryl Lazarus National Center on Educational Outcomes

NCEO Web site(http://www.cehd.umn.edu/nceo/)

Page 3: Yi-Chen Wu, Martha  Thurlow , &  S heryl Lazarus National Center on Educational Outcomes

Outline

BackgroundAchievement gapExplanationsYsseldyke and Bielinski (2002) study

QuestionsMethod

Data sourceAnalytical Techniques

ResultsConclusions

Page 4: Yi-Chen Wu, Martha  Thurlow , &  S heryl Lazarus National Center on Educational Outcomes

Achievement gap

4

Focused on race/ethnicity or poverty. Less attention on achievement gaps between SPED vs. Non-SPED

Research on Achievement Gap (Chudowsky, Chudowsky, & Kober, 2009a; 2009b)Examined gaps for subgroups by proficiency rate &

mean SS, but no comparison between SPED and Non-SPED

Examined the achievement over time for SWD, but not the gap between SWD vs. SWOD over time

Page 5: Yi-Chen Wu, Martha  Thurlow , &  S heryl Lazarus National Center on Educational Outcomes

Explanations on gap increasing over time between SWD and SWOD

5

SPED drop out of school=high achievement (McMillen & Kaufman, 1997)

Tests given in higher grades are less valid for SWD (Thurlow & Ysseldyke, 1999; Thurlow, Bielinski, Minnema, & Scott, 2002)

Students with lower performance moved in SPED and students with higher performance move out SPED (Ysseldyke and Bielinski, 2002)

Page 6: Yi-Chen Wu, Martha  Thurlow , &  S heryl Lazarus National Center on Educational Outcomes

Ysseldyke and Bielinski (2002) study Explored the extent to which reclassification impacts the size of the achievement gap between GED and SPED across grades.

to compare the effects of different reporting methods, and to examine the effects of reclassification

They argued that fair comparisons involved using clearly defined and consistent comparison groups, and that special education status complicates the reporting because status changes over time.

Page 7: Yi-Chen Wu, Martha  Thurlow , &  S heryl Lazarus National Center on Educational Outcomes

Ysseldyke and Bielinski (2002) study They used three methods to analyze trends in performance (cross-sectional, cohort-static and cohort-dynamic), and found that gap trends depended on the method used

examined how the use of scaled scores and effect size could be used for reporting results.

Page 8: Yi-Chen Wu, Martha  Thurlow , &  S heryl Lazarus National Center on Educational Outcomes

Purpose

The Ysseldyke and Bielinski (2002) study did not use proficiency to examine the reporting results is now more than a decade old was completed prior to the implementation of ESEA

2001. There is a need to take a new look at how achievement gap trends are affected by the method used to calculate them.

Page 9: Yi-Chen Wu, Martha  Thurlow , &  S heryl Lazarus National Center on Educational Outcomes

Research Questions

Reporting Methods: How does the use of cross-sectional, cohort-static, and cohort-dynamic data analysis methods affect interpretation of trends in the performance of students with disabilities?

Analytical Techniques: How does the score used in the analyses (proficiency level, scaled score, effect size) affect interpretation of trends and achievement gaps?

Reclassification: To what extent do students move in and out of special education each year, and what are the achievement characteristics of those who do and do not move?

Page 10: Yi-Chen Wu, Martha  Thurlow , &  S heryl Lazarus National Center on Educational Outcomes

Method

Data sourceused math assessment data for grades 3-8 from a

midwestern stateCross-sectional

2005-06 to 2009-10 305,819 records

Cohort2005-06 to 2009-10+ 2004-05 (G3-8)8,231 students with 6-yr records

Page 11: Yi-Chen Wu, Martha  Thurlow , &  S heryl Lazarus National Center on Educational Outcomes

Method- Methods Used to Measure Gap

Cross-sectional five years of data were used to calculate the average

performance to reduce year-to-year variations that might affect results if data from a single year were selected.

Cohort-staticA cohort across six yearsGroup membership stayed the same across years.

Cohort-dynamicgroup membership was redefined every year

Page 12: Yi-Chen Wu, Martha  Thurlow , &  S heryl Lazarus National Center on Educational Outcomes

Method- Analytical Techniques

 

Page 13: Yi-Chen Wu, Martha  Thurlow , &  S heryl Lazarus National Center on Educational Outcomes

Results—RQ1

How does the use of cross-sectional, cohort-static, and cohort-dynamic data analysis methods affect interpretation of trends in the performance of students with disabilities?Using PF to show the trend over time among the three

methods used to measure gap

Page 14: Yi-Chen Wu, Martha  Thurlow , &  S heryl Lazarus National Center on Educational Outcomes

Figure 1. Cross-sectional method: Percentage of students above proficiency level on math assessment by SPED and non-SPED

80.2 81.3 79.4 78.9 76.1 76.7

59.154.0

47.4

38.430.0 29.4

0

10

20

30

40

50

60

70

80

90

100

3 4 5 6 7 8

Perc

enta

ge o

f Stu

dent

s abo

ve P

rofic

ienc

y Le

vel

Grade

Non-SPED SPED

Results—Comparing reporting methods

21-->47

Page 15: Yi-Chen Wu, Martha  Thurlow , &  S heryl Lazarus National Center on Educational Outcomes

Results—Comparing reporting methods

Figure 2: Cohort-static method: Percentage of students above proficiency level on math assessment by SPED and Non-SPED

82.1 84.3 83.2 81.8 81.0 83.3

60.1 61.6 60.556.6 54.7

61.6

0

10

20

30

40

50

60

70

80

90

100

3 4 5 6 7 8

Perc

enta

ge o

f Stu

dent

s abo

ve P

rofic

ienc

y Le

vel

Grade

Non-SPED SPED

22->21

Page 16: Yi-Chen Wu, Martha  Thurlow , &  S heryl Lazarus National Center on Educational Outcomes

Results—Comparing reporting methods

Figure 3. Cohort-dynamic method: The percentage of students above proficiency level on math assessment by SPED and Non-SPED

82.1 84.6 83.6 81.9 81.6 84.2

60.156.3

52.645.6

34.638.8

0

10

20

30

40

50

60

70

80

90

100

3 4 5 6 7 8

Perc

enta

ge o

f Stu

dent

s abo

ve P

rofic

ienc

y Le

vel

Grade

Non-SPED SPED

22-->45

Page 17: Yi-Chen Wu, Martha  Thurlow , &  S heryl Lazarus National Center on Educational Outcomes

Results—Comparing reporting methods

Quit differentQuite similarSteady

80.2 81.3 79.4 78.9 76.1 76.7

59.154.0

47.4

38.430.0 29.4

0

10

20

30

40

50

60

70

80

90

100

3 4 5 6 7 8

Perc

enta

ge o

f Stu

dent

s abo

ve P

rofic

ienc

y Le

vel

Grade

Non-SPED SPED

82.1 84.3 83.2 81.8 81.0 83.3

60.1 61.6 60.556.6 54.7

61.6

0

10

20

30

40

50

60

70

80

90

100

3 4 5 6 7 8

Perc

enta

ge o

f Stu

dent

s abo

ve P

rofic

ienc

y Le

vel

Grade

Non-SPED SPED

82.1 84.6 83.6 81.9 81.6 84.2

60.156.3

52.645.6

34.638.8

0

10

20

30

40

50

60

70

80

90

100

3 4 5 6 7 8

Perc

enta

ge o

f Stu

dent

s abo

ve P

rofic

ienc

y Le

vel

Grade

Non-SPED SPED

Cohort-dynamic Cohort-static

Cross-sectional

Page 18: Yi-Chen Wu, Martha  Thurlow , &  S heryl Lazarus National Center on Educational Outcomes

Results—RQ2

How does the score used in the analyses (proficiency rate, scaled score, effect size) affect interpretation of trends and achievement gaps?

Page 19: Yi-Chen Wu, Martha  Thurlow , &  S heryl Lazarus National Center on Educational Outcomes

Figure 4. Percent proficient: Achievement gap (difference between non-SPED and SPED) in percent proficient on math assessment

Results—Comparing Analytical Techniques

21.1

27.3

32.0

40.646.2

47.4

22.0

28.4 31.0

36.3

47.0

45.4

22.6 22.725.1 26.2

21.7

0

10

20

30

40

50

60

3 4 5 6 7 8Perc

enta

ge o

f Stu

dent

s abo

ve P

rofic

ienc

y Le

vel

Grade

Cross Sectional

Cohort Dynamic

Cohort Static

Page 20: Yi-Chen Wu, Martha  Thurlow , &  S heryl Lazarus National Center on Educational Outcomes

Figure 5. Scaled score: Achievement gap (difference between non-SPED and SPED) in mean scaled score on math assessment

Results—Comparing Analytical Techniques

22.7 26.0

28.5

38.8

43.6

40.5

26.8

26.0

35.4

41.8

20.9 22.020.2

23.424.9

21.3

0

5

10

15

20

25

30

35

40

45

50

3 4 5 6 7 8

Scal

e Sc

ore

Grade

Cross Sectional Cohort Dynamic

Cohort Static

Page 21: Yi-Chen Wu, Martha  Thurlow , &  S heryl Lazarus National Center on Educational Outcomes

Figure 6. Effect size: Achievement gap (difference between non-SPED and SPED) in effect size on math assessment

Results—Comparing Analytical Techniques

-.63 -.60 -.62 -.65-.55-.51

-.68-.74

-.96-1.00 -.99

-.57

-.77 -.76 -.94

-1.14 -1.10-1.2

-1.0

-0.8

-0.6

-0.4

-0.2

0.0

3 4 5 6 7 8

Effec

t Size

Grade

Cohort-Static Cross-SectionalCohort-Dynamic

Page 22: Yi-Chen Wu, Martha  Thurlow , &  S heryl Lazarus National Center on Educational Outcomes

Results—Comparing analytical techniques

Quit differentQuite similarSteady

Effect sizeScaled Score

Proficiency Level

21.1

27.3

32.0

40.646.2

47.4

22.0

28.4 31.0

36.3

47.0

45.4

22.6 22.725.1 26.2

21.7

0

10

20

30

40

50

60

3 4 5 6 7 8Perc

enta

ge o

f Stu

dent

s abo

ve P

rofic

ienc

y Le

vel

Grade

Cross Sectional

Cohort Dynamic

Cohort Static

22.7 26.0

28.5

38.8

43.6

40.5

26.8

26.0

35.4

41.8

20.9 22.020.2

23.424.9

21.3

0

5

10

15

20

25

30

35

40

45

50

3 4 5 6 7 8

Scal

e Sc

ore

Grade

Cross Sectional Cohort Dynamic

Cohort Static

-.63 -.60 -.62 -.65-.55-.51

-.68-.74

-.96-1.00 -.99

-.57

-.77 -.76 -.94

-1.14 -1.10-1.2

-1.0

-0.8

-0.6

-0.4

-0.2

0.0

3 4 5 6 7 8

Effec

t Size

Grade

Cohort-Static Cross-SectionalCohort-Dynamic

Page 23: Yi-Chen Wu, Martha  Thurlow , &  S heryl Lazarus National Center on Educational Outcomes

Results—RQ3

To what extent do students move in and out of special education each year, and what are the achievement characteristics of those who do and do not move?

Page 24: Yi-Chen Wu, Martha  Thurlow , &  S heryl Lazarus National Center on Educational Outcomes

Figure 7. Mean math scaled scores by special education status across years

Results—Reclassification7th Grade Scaled Score

Non-SPED

SPED

Non-SPED

SPED

Non-SPED

SPED

Non-SPED

SPED

Non-SPED

SPED

3rd Grade 4th Grade 4th Grade 5th Grade 5th Grade 6th Grade 6th Grade 7th Grade 7th Grade 8th Grade

3rd Grade Scaled Score 4th Grade Scaled Score 5th Grade Scaled Score 6th Grade Scaled Score

S1 S1 S1 S1 S1

622.9

593.6

613.4

598.1

653.7

617.7

638.0

623.8

669.1

628.2

656.3

639.3

695.9

650.0

678.1

656.3

712.0

661.1

683.6

665.5

NS1 NS1 NS1 NS1 NS1

NS2 NS2 NS2 NS2 NS2

S2 S2 S2 S2 S2

Note: NS1 = Students who remained in non-special education in both of two consecutive years; NS2 = Students who moved from non-special education to special education in the second of two consecutive years; S1 = Students who remained in special education in both of two consecutive years; S2 = Students who moved from special education to non-special education in the second of two consecutive years.

Page 25: Yi-Chen Wu, Martha  Thurlow , &  S heryl Lazarus National Center on Educational Outcomes

Results—Reclassification Non-SPED only

Students stayed in non-SPED for six years Non-SPED to SPED

Students moved from non-SPED to SPED only once over six years

SPED to Non-SPED Students moved from SPED to non-SPED only once over six

years Back and forth

Students moved between SPED and non-SPED more than once over six years

SPED only Students stayed in SPED for six years

Page 26: Yi-Chen Wu, Martha  Thurlow , &  S heryl Lazarus National Center on Educational Outcomes

Figure 8. The effect size between different reclassification groups in math assessment by using non-SPED only group as the reference group

Results—Reclassification-0.28 -0.32 -0.29 -0.30 -0.31 -0.25

-0.74-0.94 -1.02 -0.94 -1.00 -0.94

-1.06 -1.18 -1.01 -1.09 -1.22 -1.15-1.16 -1.25 -1.16 -1.22 -1.29

-1.11-1.4-1.2-1.0-0.8-0.6-0.4-0.20.0

3 4 5 6 7 8

Effec

t Size

GradeSPED to Non-SPED (N=730) Back and Forth (N=180)Non-SPED to SPED (N=251) SPED only (N=434)

Page 27: Yi-Chen Wu, Martha  Thurlow , &  S heryl Lazarus National Center on Educational Outcomes

Discussion and Conclusion

Different methods of reporting data present different pictures of the gap between SPED and non-SPED

This study was undertaken to update the work done more than a decade ago by Ysseldyke and Bielinski (2002)Replicated + proficiency levelConfirmed Suggestions

Page 28: Yi-Chen Wu, Martha  Thurlow , &  S heryl Lazarus National Center on Educational Outcomes

Discussion and Conclusion

SuggestionsThe choice of method affects what the results look like and

the possible interpretation of findings.Tracking individual student performance provides a better

indication of how well schools are educating their students than cross-sectional models where the grade remains the constant but the students change.

Cross-sectional models should not be used when examining trends across grades.

Cohort-static and cohort-dynamic methods enable educators to make comparisons among individual students

Page 29: Yi-Chen Wu, Martha  Thurlow , &  S heryl Lazarus National Center on Educational Outcomes

Discussion and Conclusion

Specific situation for each reporting method If the goal is to know how well students do yearly without

considering changing students => cross-sectionalhttp://www.schooldigger.com/go/MN/schools/

3243001386/school.aspx If states and districts want to account with precision for the

reclassification of students each year. => cohort-dynamicWhen the goal is to account for individual student

performance over time without regard to the nature of services received=> cohort-static


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